MATHEMATICS - Larbert High School Stenhousemuir ...24464]Foundation_Practice...Mr McGraw buys a £30 electricity power card every 4 weeks. What is the average amount he spends on electricity

Please note … the format of this practice examination is different from the current format. The paper timings are different and calculators can be used throughout.

Foundation Mathematics - Practice Examination A

MATHEMATICS Standard Grade - Foundation Level

First name and initials Surname

Read Carefully 1. Answer as many questions as you can. 2. Write your answers in the spaces provided . 3. Show all your working . 4. You may use a calculator

Time allowed - 1 hour 10 minutes

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KU RA1. Four thousand eight hundred and five people attend a concert at the Royal Concert Hall .

Write this number in figures .

NOTES / WORKING

2. A department store is having a sale .

There is a third off all men’s wear . How much would you pay for a pair of trousers which usually cost £39 ?

NOTES / WORKING

3. The Robinson family are going on holiday to Majorca for two weeks .

They leave on the 15th July . On what date will they return ?

1 ANSWER

3 ANSWER

2 ANSWER

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KU RA4. Tony measures out 700ml of milk into a measuring jug . Mark this level on the diagram . NOTES / WORKING

5. Draw a shape the same as this one but with the lines half as long .

1

3

ANSWER

ANSWER

1 litre

500 ml

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KU RA6.

Sheila arrives at the car park at 1.15pm and leaves at 2.20pm. How much will it cost her to park ?

WORKING

7. The scale converts kilometres per hour (km/h) to miles per hour (mph) and vice versa .

A car is travelling at 40 kilometres per hour . What is its speed in miles per hour ?

Car Park Charges up to 1 hour.....60pup to 2 hours...£1 up to 3 hours...£2 maximum stay 3 hours

ANSWER 3

mph 2 ANSWER

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KU RA 8. The diagram shows part of the seating arrangement in a theatre .

The seats marked with an O are already sold . The Rossi family want 4 seats together with one of the seats being an end seat . Mark with X’s on the diagram the seats which would suit them . 2 9. The pie chart shows where the pupils

from a high school go for their lunch .

What percentage go to the fast food shop ?

WORKING

3

ANSWER

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KU RA 10. This represents 1 m2

What is the area of this shape ?

WORKING

11. A central heating timer switch has to be set to come on at quarter to seven in the morning and to switch off at half past five in the evening . The times have to be set using 24 hour clock times . Show how these times would be displayed on the timer switch .

2

m2 2ANSWER

off __ __ : __ __ on __ __ : __ __ ANSWER

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KU RA12. A coin is about 3mm thick .

A money holder for the coins is 6cm tall . How many coins can it hold when full ?

WORKING

13. Mr McGraw buys a £30 electricity power card every 4 weeks. What is the average amount he spends on electricity each day ? Give your answer to the nearest penny . WORKING

3mm

6cm

3 ANSWER

4 £ ANSWER

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KU RA 14. The formula below is used to calculate the time it takes to cook a lamb roast . 50 minutes for every 1kg plus 20 minutes at the end for browning

a) How long would it take to cook a 2.5kg roast ? WORKING

b) It took 2 hours to cook a lamb roast . What was its weight ? WORKING

minutes ANSWERS 2

4ANSWER kg

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KU RA 15. The pattern shows the number of people sitting at desks .

a) Draw the next diagram in the pattern .

1

b) Complete the table for the above pattern .

WORKING 3 c) Write down a rule for finding the number of people if you know the number of desks 2

ANSWER

Number of people 4 6 8

Number of desks 1 2 3 4 10 20

RULE

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KU RA16. a) Peter gets a basic pay of £4.20 an hour . If he works on a Sunday he is paid overtime at double time. One Sunday he worked six hours . How much was he paid ? WORKING

b) Elizabeth works in the same place as Peter and is paid at the same rate . Her wages for last Sunday came to £33.60 . How many hours overtime did she work ? WORKING

ANSWER £ 3

ANSWER hours 3

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KU RA 17. a) How much water would be needed to dilute 50 millilitres of this juice ?

b) For every glass you use 50 millilitres of ORANGY . How many glasses can you get from this 1 litre bottle of ORANGY ? WORKING

WORKING

1 Litre

millilitres ANSWER 2

ANSWER glasses 3

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KU RA18. Mr Chan is in a “low users scheme” with the telephone company he uses . This means that if the total of his calls is not more than £8 he will get a 5% discount . a) How much will he save if he makes calls totalling £6.20 ? WORKING

b) What is the most he could save on this scheme ? WORKING

£ ANSWER 2

£ 2ANSWER

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KU RA 19. This is a plan of Damien’s room .

a) What is the area of Damien’s room ?

WORKING

b) He wants to carpet his room but he does not want to spend more than £60 .

Which type of carpet could he choose ?

WORKING

3.5m

4m

2ANSWER

CARPETS : CARPETS Canvas shadow.........£4.99 per square metre Jumbo cord ..............£2.99 per square metre Canvas prints .......... £3.99 per square metre Twist piles ...............£5.99 per square metre

3ANSWER

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KU RA20. Two supermarkets are having special offers on their cans of cola .

a) How much are you paying for each can of cola from SUREWAY with this offer ? WORKING

b) Which Supermarket is giving the best value for money ? You must show your working . WORKING

£2.88 £3.20

ANSWER £ 3

4 ANSWER

End of Question Paper

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Foundation Mathematics - Practice Examination B


Class Teacher




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1. The temperature in Paris is 28°C. Mark this temperature on the thermometer.

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2. Susan arrives home from work in the evening at ten to seven. Write this as a 24 hour clock time. 3. There is treasure buried in square C7. Mark the treasure with a cross. 2 J K

11

10

9

8

7

6

5

4

3

2

1 I H G F E D C B A

KU

1

2

RA

N

NOTES/WORKING ANSWER :

100° 90° 80° 70° 60° 50° 40° 30° 20° 10° 0°

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RAKU

3

4. The electricity board decide to increase their bills by 10%. Mr Smith’s normal bill is £45.00. What will his new bill be after the increase ? NOTES/WORKING

ANSWER

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KU

3

RA

3

5. Julie is decorating her living room. She decides to put a thin border all the way round the wall. The shape and size of her room is shown below. 12 m 3m 9m

6m

10m What total length of border will Julie need to buy for her living room ? WORKING

ANSWER metres

6. It takes a man two hours to travel 110 miles in his car. His daughter travels the same journey at an average speed of 60 miles per hour. If they both leave at the same time, who will arrive at their destination first ? Show all your working.

WORKING ANSWER

7. Pat's uncle has given him a £10 note for his 13th birthday. He decides to buy himself a book priced at £3.59 and a CD costing £3.99. (a) How much change will Pat get back from his ten pound note ? (b) Pat is thirsty and sees a drinks machine. All the cans cost 35p. He notices that the machine only takes the exact money. Given that as part of his original change he has been given two pound notes, is it possible that Pat can use the rest of the change from his birthday money to buy himself a can ? You must show all your working.

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8. TRAIN The above extract shows part of a train timetable. (a) What time does the earliest train arrive at Floen ?

WORKING ANSWER

ANSWER

KU

2

1

RA

2

Marton 0906 1006 1106 1206 1306 1406 1506 Beasley 0933 1033 1133 1233 1333 1433 1533 Floen 0951 1051 1151 1251 1351 1451 1551 Canston 1008 1108 1208 1308 1408 1508 1608

G F E D C B A

WORKING ANSWER

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RA

3

KU

3

8. (b) Mary has a job interview in Canston at 2.00 pm. What is the latest time she can leave her house in Beasley, if it takes her 15 minutes to walk to the station ? WORKING

ANSWER

9. Julie has a new job working in MacDavids Burger Place. She can choose different colours for her uniform, as shown below.

blue or yellow

red or blue or yellow black Complete the table below to show all the different choices of uniform she could wear. cap t shirt trousers

10. Frank buys a new video camera. It costs £455. He decides to pay it up at no extra cost ! The deposit is £95 and he must make 9 equal monthly payments. How much does he have to pay each month ? 11. A farmers field is in the shape of a rectangle as shown below. The farmers’ house is diagonally opposite his orchard. To reach his orchard there is a path which cuts through the middle of the field.

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(a) Calculate the area

WORKING ANSWER

250 m

GRASS

WHEAT

KU

3

RA

ORCHARD

WORKING ANSWER £

Path

of grass in square metres.

square metres

125 m

2

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RA

2

4

KU

1

11. (b) If grass seed costs ten pence per square metre, how much did it cost him to seed the grass ? WORKING ANSWER £

12.

Bingo night !

TUESDAY 15th JULY 7pm

Entrance £3.85

(a) 123 people attended a local bingo night. How much money was collected, in total, from the entrance fee ?

WORKING ANSWER £

(b) During the evening there were 3 prizes of £75 and two of £50. The cost of heating the hall came to £38. Did the Bingo night make a profit ? You must give a reason for your answer. WORKING ANSWER £

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KU

2

2

RA

2

13. Peter was carrying out a survey for his maths class. He recorded 105 cars passing his corner in 15 minutes. (a) How many cars, on average, would this be per minute ? WORKING ANSWER cars

(b) One fifth of the cars were blue. How many cars were blue ? WORKING ANSWER cars

14. A jar of coffee holds 150 grams. 1 teaspoon holds 3 grams of coffee. (a) How many teaspoons of coffee can you get from

Coffee

1 jar ? 150g

WORKING ANSWER teaspoons

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KU

2

RA

2

14. (b) Julie takes 2 teaspoons of coffee per mug. How many mugs of coffee will she get from the jar ? WORKING ANSWER mugs

15. Calculate the size of the angle marked in black. 42°

WORKING ANSWER degrees

16. While shopping at her local supermarket Marie and Sandra noticed the sign shown below. (a) The girls decide to have lunch. Each item they pick is marked with a star. Fill in the cost of each girl’s total bill.

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ITEM MARIE SANDRA LETTUCE

TOMATO

CUCUMBER

ONION

CARROT

CABBAGE

SWEETCORN

BEETROOT

TOTAL

∗

∗

∗

∗

∗

∗

∗

∗

∗

∗

∗

∗

WORKING

Salad Counter any five portions only

£1.25 (extra portions 30p each)

Choose from • Lettuce • Cucumber • Carrot • Cabbage

• Tomato • Onion • Sweetcorn• Beetroot

KU RA

4

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KU

3

RA

3

16. (b) Julie joins them for lunch. Her bill comes to £2.15. How many items has she ordered ? WORKING ANSWER items

17. The Macksfield local youth club has a new logo ! Complete the diagram below given that the dotted line as an axis of symmetry.

Pegasys 2005

KU

1

RA

3

2

18. John was doodling during his art lesson and stumbled upon an interesting pattern. He noticed that if he joined two circles by a straight line and then added other lines around the sides an ordered pattern was formed. The first three doodles in his pattern are shown below. (a) Draw the next doodle in John’s pattern. ANSWER (b) Complete the table below to show how many lines there would be around a particular numbers of circles.

Number of circles 2 3 4 5 6 10 20 Number of lines 7 10 13

(c) Write down a rule describing how you would find the number of lines if you were given the number of circles.

WORKING ANSWER

Pegasys 2005

KU

2

RA

2

19. Leafy mint chocolates are packaged in the box shown opposite.

Leafy Mints

Each chocolate is circular in shape. The chocolates are laid out in the box as shown below. w 16 cm (a) How wide is each circle ?

WORKING ANSWER cm

(b) What is the width, w, of the box ? WORKING ANSWER cm

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KU

1

3

RA

2

20. The table below shows class 2A’s favourite types of film.

Type of book Horror Romance Science Fiction

Comedy Thriller

Number of pupils 12 4 5 7 2

(a) How many pupils are in class 2A ? WORKING ANSWER pupils

(b) Complete the bar graph below to show class 2A's results. N

u m b e r

of

p u p i l s

18

16 14

12 10

8 6 4

2 0

Type of film (c) Mrs Smith, the class teacher, commented that more than half the class preferred either horror or thriller films. Was her statement correct ? You must give a reason for your answer. WORKING ANSWER

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KU

RA

3

3

21. At his local video shop a man notices a sign. AZTEC VIDEO

Hire 2 videos for one night

FOR ONLY £3.00 !!!

(a) The normal cost of hiring one video for one night is £2.50. How much money can he save by hiring 2 videos, for one night, using this special offer ? WORKING ANSWER £

(b) The video shop in the next street has the following offer :-

AKAD VIDEO

Hire any 2 videos for 2 nights for

only

£5.75

(b) Which video shop has the best offer for hiring two videos for two nights ? You must give a reason for your answer. WORKING ANSWER £

Pegasys 2005

KU

RA

3

22. To calculate the monthly payment on a new washing machine, a shop uses the following formula Monthly Payment = ( Total Cost – Deposit ) ÷ number of months Calculate the monthly payment on a washing machine costing £360, if a deposit of £60 has to be paid, and the customer wishes to pay over a period of 10 months.

WORKING ANSWER END OF QUESTION PAPER


Foundation Mathematics - Practice Examination C


Class Teacher




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4

KU RA

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1 4

KU RA

LWright

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2 1 2

11 KU RA

3

2

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3

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End of Question Paper

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Please note … the format of this practice examination is the same as the current format. The paper timings are the same, as are the marks allocated. Calculators may only be used in Paper 2.

Foundation Mathematics - Practice Examination D


Class

First name and initials

Read Carefully 1. Answer as ma2. Write your ans3. Full credit will 4. You may not

Pegasys 2005

Time Allowed - 20 minutes

ny questions as ywers in the spacebe given only wheuse a calculator

Paper I

Teacher

Surname

ou can. s provided . re the solution contains appropriate working.

Pegasys 20

1. Calculate the perimeter of the garden. 2. Carry out the following calculations. (a) £4⋅32 × 5 (b)

1

KU RE

(2) 9m 4m

6m 6m

12m

(1)

(c) 3. Find t

4. Catrin The b At wh

05

of 344 8

43

(1)

62⋅5 + 34⋅8 (1)

(4) he cost of the stereo in the sale if its original price was £160 .

20% off !

a’s class went on a day trip with her school to Alton Towers. us left the school at 5:20 a.m. and took 5 hours to reach the theme park.

at time did Catrina arrive at Alton Towers ? (3)

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5. Darren was playing football and smashed his dining room window. If the glass costs £9 per m2 to replace, calculate the cost of replacing the window. 6. Eddie only eats cornpuffs or sugar krispies for breakfast. The pie chart shows the fractions of each. (a) Of his 196 school days each year, how many bowls of cornpuffs will he eat ? (b) How many more bowls of sugar krispies does he eat than cornpuffs ? 7. Elise is collecting her mum from the airport. The table below shows the charges for parking her car.

Up to Cost hour

1 hour 2 hours

£2⋅00 £3⋅20 £4⋅00

21

KU RE

2m

4m (4)

(2) cornpuffs

sugar krispies

(2)

Elise arrives at the airport at 18:45 and the flight is delayed until 19:35.

(3) How much will Elise be charged for parking her car ?

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8. The bales of hay are arranged in Frank’s shed as shown.

KU RE

(a) How many bales of hay are in the shed altogether?

(2)

(b) The shed is filled up on the 1st of July. Frank’s horse, Charlie, eats 7 bales of hay each month. During which month will Frank have to buy more hay? (4)

(END OF QUESTION PAPER)

Foundation Mathematics Practice Exam D Marking Scheme - Paper 1

Give 1 mark for each • Illustrations for awarding each mark 1. • know how to find perimeter

• find perimeter • 9 + 4 + 6 + 12 + 6 • 37m

2 marks KU2(a) 2(b) 2(c)

• multiply a decimal number by a single digit whole number • find a unitary fraction of a quantity • add decimal numbers

• £21⋅60 • 43 • 97⋅3

3 marks KU3. • know how to find a simple % of a quantity

• calculate a simple % • know to subtract • subtract correctly

• 15 of 160

• £32 • £160 - £32 • £128

4 marks KU4. • identify length of journey in hours + minutes

• know to add time • add time correctly

• 5hrs 45 mins • 5:20a.m. + 5 hrs 45 mins • 11:05a.m.

3 marks KU5. • know to find area of window

• find area • know to multiply area by cost per m2 • calculate cost correctly

• 4 × 2 • 8m2 • 8 × £9 • £72

4 marks RE6(a) 6(b)

• interpret pie chart • carry out calculation • know to find number of bowls of sugar krispies • know to subtract quantities • subtract correctly

• 14 of 196

• 49 bowls • 196 - 49 = 147 • 147 - 49 • 98 bowls

4 marks KU7. • know to subtract times

• subtract times correctly • interpret data in table

• 19:35 - 18:45 • 50 minutes • £3⋅20

3 marks RE8(a) 8(b)

• know how to calculate number of bales of hay • calculates correctly • know to divide • know to round down • know to add months onto July • conclusion

• 5 × 4 × 3 • 60

2 marks KU• 60 ÷ 7 • 8⋅6 → 8 months • July + another 7 full months • Restock sometime in March

4 marks RE

KU RE

18 11

Pegasys 2005

Please note … the format of this practice examination is the same as the current format. The paper timings are the same, as are the marks allocated. Calculators may only be used in this paper.

Foundation Mathematics - Practice Examination D MATHEMATICS

Standard Grade - Foundation Level

Class


Read Carefully 1. Answer as ma2. Write your ans3. Full credit will b4. You may use

Pegasys 2005


ny questions as ywers in the spacee given only whe

a calculator

Paper II

Teacher

Surname


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1. It takes 24 frames every second to make an action movie. (a) How many frames would it take to make a 2 hour film ? (b) It took 145 440 frames to make the film Payback. How long is this film, in hours and minutes ? 2. Make a copy of the shape on the grid below, making each of its sides half as long. 3. Patrick’s mobile phone company charges 30 pence per minute. Maureen’s company charges 6p per minute. How much cheaper is it for Maureen to make a 10 minute call than for Patrick? (Give your answer in pounds.)

(5)

(3)

(4)

(4)

KU RE

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4. Damian keeps a note of the number of cubic metres (m3) of trees he cuts down each day. (a) Calculate the average daily cut for the five days shown in the table below.

Monday Tuesday Wednesday Thursday Friday 86⋅4 76⋅7 91⋅2 104⋅5 83⋅2

KU RE

(3)

(b) Damian spilt some coffee over this table and he cannot make out the entry for Tuesday. Damian remembered that the average was 93⋅4 m3.

Monday Tuesday Wednesday Thursday Friday 95⋅3 94⋅5 91⋅2 86⋅4

Calculate the number of cubic metres cut on Tuesday. (4) 5. Calculate the size of angle x. (3) x 37o

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KU RE 6. (a) Mr and Mrs McKenzie and their 5 children are going to the cinema. Use the information below to find the cost of their trip . (3)

Adult £4⋅75 Child £3⋅50

(b) 7. Lau

Com a sta

Cinema

005

Mrs Jones takes her children to the cinema on the same day. The tickets cost her £18⋅75. How many children does she have ? (4)

ren is going out for lunch. The menu is shown below.

Starters Prawn Cocktail

Melon Main course

Haddock Lasagne Dessert Ice Cream

Cheese Cake

plete the table to show all the possible choices Lauren has if she eats rter, a main course and a dessert. The first one is done for you . (3)

Prawn Cocktail Haddock Ice Cream

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8. Calculate the volume of water in the fish tank, in litres .

KU RE

(4)

60cm

40cm

1⋅5m

9. Katie has one of her favourite photographs enlarged. Calculate the height of the new photo . (3)

? 10cm

8cm

24cm

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10. George arranges his toy car tyres on the floor of his room as shown. The radius of one tyre is 2⋅5cm Calculate the length of the row of tyres . 11. The hexagonal patterns below are made from matchsticks. Pattern 1 Pattern 2 Pattern 3 (a) Complete the table .

Number of hexagons 1 2 3 4 15 Number of matchsticks 6 11

KU RE

length

(3)

(4)

(b) Write down a rule for finding the number of matchsticks if you know the number of hexagons. (2) (END OF QUESTION PAPER)


Foundation Mathematics - Practice Examination E


Class


Read Carefully 1. Answer as many2. Write your answe3. Full credit will be4. You may not us

Pegasys 2005


questions as yrs in the space

given only whee a calculator

Paper I

Teacher

Surname


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1. Carry out the following calculations. (a) £6⋅45 × 5

(b) of 576 18

KU RE

(1)

(1)

(c) 43⋅8 + 71⋅4 (1)

(4) 2. (a) Calculate the perimeter of this garden. 3 m

8 m 6 m 12 m (b) Calculate the area of the garden . (4) 3. Katie is going on holiday. The weight of each suitcase is shown below. The maximum weight allowed is 60kg.

Can she take the suitcases on the plane? Give a reason for your answer. (4)

33 kg 24 kg 2500 g

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4. Kevin buys cube-shaped glasses for juice. (a) Calculate the volume of each glass, in cm3. (3) (b) How many full glasses can be filled from a 2⋅5 litre bottle of orange juice? (3) (1 litre = 1000 cm3). 5. Josh is flying to Belfast.

His flight leaves Glasgow at 1620 and arrives in Belfast at 1710.

KU RE

5 cm

(a) How long does his journey take? (1) (b) He has to check-in 1 hour before departure and takes 45 minutes to travel to the airport.

What is the latest time Josh can leave his house in order to check-in on time ? (2) 6. Amanda collects music magazines which are printed monthly. Each magazine is 5 millimetres thick. A shelf, 0⋅3 metres long, is filled with these magazines. (a) Calculate the length of the shelf in millimetres. (2) (b) How many magazines does Amanda have? (2) (c) For how many years has Amanda collected her magazines? (3)

Foundation Mathematics Practice Exam E Marking Scheme - Paper 1

Give 1 mark for each • Illustrations for awarding each mark 1(a) 1(b) 1(c)

• carry out calculation correctly • carry out calculation correctly • carry out calculation correctly

• £32⋅25 • 72 • 115⋅2

3 marks KU2(a) 2(b)

• find missing length • find missing length • know to add lengths • adding correctly • know to divide shape into rectangles • calculate area of first rectangle • calculate area of second rectangle • add areas together (Accept any legitimate method here)

• 2 m • 9 m • 8 + 3 + 2 + 9 + 6 + 12 • 40 m

4 marks KU• • 8 × 3 = 24 m2 • 9 × 6 = 54 m2 • 24 +54 = 78 m2

4 marks RE

3. • know to change grammes into kilogrammes • converting correctly • adding weights correctly • conclusion + reason

• 2500 g = ________ kg • 2⋅5 kg • 33 + 24 + 2⋅5 = 59⋅5 kg • Yes,m as 59⋅5 is less than 60

4 marks RE4(a) 4(b)

• know to calculate l × b × h • know length, breadth & height = 5 cm • calculate volume correctly • changing litres into cm3 • knowing to divide • dividing correctly

• • • 5 × 5 × 5 = 125 cm3

3 marks KU• 2⋅5 litres = 2500 cm3 • 2500 ÷ 125 • 20 glasses

3 marks KU5(a) 5(b)

• subtracting time correctly • knowing to subtract from 1620 • subtracting time correctly

• 50 minutes 1 mark KU

• 1620 - 1hr 45 mins • 1435 or 2⋅35pm

2 marks KU6(a) 6(b) 6(c)

• change to centimetres correctly • change to millimetres correctly • knowing to divide • dividing correctly • changing years to months • knowing to divide • dividing correctly

• 0⋅3 m = 30 cm • 30 cm = 300 mm

2 marks KU• 300 ÷ 5 • 60 magazines

2 marks KU• 1 year = 12 months • 60 ÷ 12 • 5 years

3 marks RE

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Foundation Mathematics - Practice Examination E

MATHEMATICS Standard Grad undation Level

Class


Read Carefully 1. Answer as many2. Write your answe3. Full credit will be4. You may use a

Pegasys 2005


questions as yrs in the space

given only whecalculator

e - FoPaper II

Teacher

Surname


1. Complete the symmetric pattern below: (4) Spare Grid 2. Daniel travels from Motherwell to Cumbernauld on a training course. The course lasts for 4 days and he travels home each day. He receives 12⋅6 pence per mile travelling expences. If the distance between Motherwell and Cumbernauld is 19 miles, how much does he claim for, in pounds? (4)

RE KU

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3. The call charges per minute for John’s phone are shown in the table. John never uses his phone before 6 pm on weekdays. John buys a new £5 call card. He spends 56 minutes, in total, on his phone during the week. From the money left on his phone, what is the maximum amount of time John can

spend on his phone at the weekend? (5) 4. Jessica’s briefcase has a 4-digit security code. • All of the digits are different • All of the digits are less than 9 • The digits add up to 18 • The first digit is a 2 • The second and last digits are odd numbers Complete the table to show all possible codes for Jessica’s briefcase. The first one is done for you. (3)

7 8 1 2

2 p 7 p 30 p

After 6 pm Before 6 pm

Weekdays Weekends

RE KU

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5. The line graph below shows the temperature (oC) each day for a week in April.

0123456789

Monday Wednesday Friday Sunday

Day of Week

Tem

pera

ture

KU RE

(a) Which was the coldest day? (1) (b) Between which two days did the temperature fall the most? (1 ) (c) Calculate the average (mean) temperature for the week. (3 ) 6. Eighty people were asked their favourite country for

Spain 10 going on holiday. The results are shown in the table.

40 Italy 10 France 20 America (a) What fraction of the people preferred America? (2) (b) Complete the pie chart to show the above information. (3 )

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7. Janine noticed an interesting arrangement of blocks in her young brother’s playroom. It consisted of layers of cubes, each layer laid out in the shape of a rectangle. How many cubes are there altogether?

KU RE

(4) 8. The Sunshine Breakfast Company have designed a new logo. The angles at the centre, o, are all equal.

Calculate the size of the angle marked x.

x o

(3)

9. Elizabeth has buried treasure in her garden near some of her favourite objects. (a) Write down the coordinates of the wheel barrow. ( , ) (1) (b) The treasure is south-east of the gnome and west of the flower pot. Mark the treasure on the grid with an × and write down its coordinates. ( , ) (3) 10. Tracy’s wages are spent in the following ways: Rent 30% Food 20% Car 20% Bills 15%

If Tracy earns £1200 each month, calculate the amount of money she has left over. (5)

N

♣ = gnome ♦ = wheel barrow ♥ = flower pot

12

10

8

6

4

2

2 4 6 8 10 12 14 16 0

RE KU

Pegasys 2005

Pegasys 2005

11. Elise likes making square patterns with matches.

She puts a cross in the middle of each square, as shown below.

1 square 2 squares 3 squares (a) Complete the table below: (4)

No. of Squares (S) 1 2 3 4 12 No. of Matches (M) 6 11

KU RE

(b) Find a rule connecting the number of squares and the number of matches. (2) 12. John has made a play-cube for his children.

The cube has sides 95 centimetres long. The door is a rectangle of length 70 cm and breadth 40 cm. (a) Calculate the area of the door. (2)

FRONT 95 cm

(b) Calculate the area of the front of the play-cube, not including the door. (3)

13. Jean’s neighbour wants to borrow some cooking oil. There are two bottles in the cupboard with different amounts of oil in each. How much should Jean pour from bottle A into bottle B so that Jean and her neighbour each have the same amount of oil? (4) (END OF QUESTION PAPER)

750 millilitres 1⋅2 litres

B A

RE KU

Pegasys 2005


Foundation Mathematics - Practice Examination F


Class



Pegasys 2005


questions as yors in the spaces

given only where a calculator

Paper I

Teacher

Surname

u can. provided . e the solution contains appropriate working.

Pegasys 2005

1. Carry out the following calculations. (a) 2⋅47 × 100 (1) (b) 23⋅5 + 1⋅9 (1)

(c) of 96 (2) 41

KU RE

2. Calculate 20% of £280. (2) 3. Harry’s Hypermarket has a special offer on Milky chocolate bars.

Special Offer 3 for £1

Normal price 36p

How much do you save with this offer? (4)

4. Lara practises her trumpet for 45 minutes every day. How many hours does she practise each week? (4)

Pegasys 2005

5. The test marks of 20 pupils are shown below: 2 5 3 4 2 1 4 1 5 4 4 3 2 3 3 3 4 3 2 1 (a) Complete the frequency table: (3)

Mark Tally Frequency 1

2

3

4

5

KU RE

(b) What is the modal mark? (1) 6. The office water cooler holds 9 litres of water, when full. The plastic cups were changed from the 250 ml size to the 200 ml size. How many more cups can now be filled from the cooler. (5) 7. Alex was asked to photocopy some pictures. The numbers of copies are recorded in a book.

Calculate the missing entries for Evan and Alex and complete the table. (3)

Name Number of copies Total

Jim 20 20

John

Evan

Alex

40

35

_______

60

_______

154

END OF QUESTION PAPER

Foundation Mathematics Practice Exam F Marking Scheme - Paper 1


• carry out calculation correctly • carry out calculation correctly • knowing to divide by 4 • carry out calculation correctly

• 247 • 25⋅4 • 96 ÷ 4 • 24

4 marks KU 2. • knowing to work out 5

1 (or otherwise) • answer

• 51 of 280

• £56 2 marks KU

3

• knowing to multiply • multiplying correctly • put into £ (or £1 = 100p) • subtracting

• 36 × 3 • 108 • £1⋅08 • £1⋅08 – £1 = 8p (or 108 – 100)

4 marks RE4.

• changing 45 minutes into hours

• changing 1 week into days • multiplying correctly • writing as a mixed number

• 45 minutes = 43 hour

• 1 week = 7 days • 7 × 4

3 = 421

• 415 hours

4 marks KU45 × 7 = 315 minutes etc. is also acceptable.

5(a) 5(b)

• 1 mark for 2 entries correct • 2 marks for 3 or 4 entries correct • 3 marks for all correct • answer

• mode = 3

4 marks KU

Mark Frequency 1 2 3 4 5

3 4 6 5 2

6

• knowing to change litres into millilitres • knowing to divide 9000 by capacity of both cups • carry out calculation correctly • carry out calculation correctly • answer

• 9 l = 9000 ml • 9000 ÷ 200, 9000 ÷ 250 • 45 cups • 36 cups • 45 – 36 = 9 more cups

5 marks RE7. • calculate total amount for Evan

• knowing to subtract above from 154 • carry out calculation correctly

• 60 + 35 = 95 • 154 – 95 • 59 copies

3 marks RE Total marks: KU 14 RE 12

Pegasys 2005


Foundation Mathematics - Practice Examination F


Paper II Time Allowed - 40 minutes

Class Teacher

First name and initials Surname Read Carefully

1. Answer as many questions as you can. 2. Write your answers in the spaces provided . 3. Full credit will be given only where the solution contains appropriate working. 4. You may use a calculator

Pegasys 2005

Pegasys 2005

1. Erin’s electricity bill is shown below:

Meter Readings (units) Present Previous 8340 8110

KU RE

(a) How many units were used? (2) (b) Each unit costs 16 pence. Find the cost of the units used. (3) 2. The points A(5, 2) and C(5,10 ) are opposite corners of a square, ABCD. y

11 10 9 8 7 6 5 4 3 2

1

x 0 1 2 3 4 5 6 7 8 9 10 (a) Plot A and C on the grid above. (2) (b) Find the coordinates of B and D, the other two corners. (4)

3. Alison has a bag of marbles. There are 5 green, 8 blue and 7 yellow marbles altogether. (a) What fraction of the marbles are yellow? (2)

(b) A white marble is added to the bag.

What fraction of the marbles, now in the bag, are not yellow? (3) Express your fraction in its simplest form. 4. Emma’s mum has to sew around the outside of a letter L to attach it to her school jumper for sports day. Calculate the total length Emma’s mum has to sew. (5)

11 cm

15 cm

9 cm

3 cm

RE KU

Pegasys 2005

Pegasys 2005

5. Edward is flying from Glasgow to Belfast. He must arrive at the airport 1 hours before his flight, and must allow at least 2

1

KU RE

1 hour 20 minutes travelling time from his house.

If his flight is at 16:45 what is the latest time Edward can leave his house? (3)

6. Eileen is buying a new television set. She is going to pay for it by hire purchase. (a) Calculate the deposit Eileen has to pay. (2)

Cash Price £640 Hire Purchase:

20% deposit plus 24 monthly instalments

of £28 (b) Calculate how much extra, in total, Eileen has to pay using hire purchase. (4) (c) Express this extra amount as a fraction of the cash price. (2) Express your answer in its simplest form.

Pegasys 2005

7. Danielle is making patterns out of hexagons.

Pattern 1 (a) Complete the table: (4)

Pattern number 1 2 3 4 5 10 Number of hexagons 7

KU RE

Pattern 2

Pattern 3

(b) Write down a rule for finding the number of hexagons if you know the pattern number. (2)

8. This office flipchart holds size A1 pieces of paper.

A1 paper is double the area of A2 paper. A2 paper is double the area of A3 paper. A3 paper is double the area of A4 paper.

(a) If A4 paper measures 21⋅1 cm by 29⋅7 cm, calculate the area of an A4 piece of paper. (2) (b) Now use the instructions above to help you calculate the area of a sheet of A1 paper. (3)

9. Darren records messages on his dictation machine. The lengths of messages (in minutes) on one of his tapes were: 12 16 23 9 26 2 11 17 Calculate the mean length of message on the tape. (4)

RE KU

Pegasys 2005

10. The dimensions of Brian’s sandwich box are shown: (a) Calculate the volume of his sandwich box. (2) (b) He bought a new box with dimensions 25 cm by 20 cm by 10 cm. Calculate the amount of extra space in Brian’s new box. (3) 11. Jo’s teacher has 3 stampers: a happy face, a sad face and a brilliant stamp. Each day Jo is given a stamp in his jotter. On Monday and Wednesday of one particular week Joe gets the same stamp, and he only gets one unhappy face for the week. Complete the table to show the six possible sets of stamps that could be in Jo's jotter (3) (The first line has been done for you and shows one possible combination)

Monday Tuesday Wednesday Thursday Friday

KU RE

10 cm

15 cm 20 cm

t t

Pegasys 2005

brillian

END OF QUESTION PAP

brillian

ER


Foundation Mathematics - Practice Examination G


Class



© Pegasys 2005


questions as yors in the spaces

given only where a calculator

Paper I

Teacher

Surname

u can. provided . e the solution contains appropriate working.

KU RE 1. Work out the answers to the following: (a) 14⋅6 + 7⋅8 (1) (b) 165⋅4 ÷ 100 (1) (c) 4⋅53 × 6 (1) 2. Ink was spilled on the Cornpops box.

Calculate the amount of breakfast cereal in the special offer box. (3)

Cornpops

Special Offer 25% extra free

g for the

price of 500g

3. Shown is part of a bus timetable. How long, in hours and minutes, does it take for

the bus to travel from Glasgow to Perth, if you don't include the stops? (3) Glasgow 0600

Stirling (arrive) 0700 Stirling (depart) 0725 Perth 0850

© Pegasys 2005

KU RE 4. The water container in a tumble dryer collects 1 litre of water from each wash load. The container is in the shape of a cuboid with dimensions shown.

6 cm 40 cm

30 cm (a) Calculate the volume of the container, in litres. (3)

(b) How many complete wash loads can be done before the container has to be emptied? (1)

5. A man travels in his car for 4 hours at an average speed of 50 mph.

He has to travel a total distance of 260 miles.

How far has he still to travel? (3)

© Pegasys 2005

KU RE 6. In a magic square the totals of each row, column and diagonal are the same. (a) In the magic square below what is this total? (2)

(b) Using the numbers from 3 to 11 complete the magic square. (3) 6 10

7

4 Spare Diagrams 6 6 10 10

7 7

4 4 7. Shown are the marks Janet scored in her Maths test.

Question Score 1 48 2 35 3 40 4

Total 160 (a) Work out Janet’s mark for Question 4. (3) (b) Work out her average mark per question. (2)

© Pegasys 2005 END OF QUESTION PAPER

Foundation Mathematics Practice Exam G Marking Scheme - Paper 1


• carry out calculation correctly • carry out calculation correctly • carry out calculation correctly

• 22⋅4 • 1⋅654 • 27⋅18

3 marks KU2(a)

• knows to calculate 25% of 500 • calculates percentage correctly • knows to add answer on to 500

• by multiplying by 0⋅25 or calculating ¼ • 125 g • 500 + 125 = 625 g

3 marks KU3. • knows to subtract times

• knows to subtract stoppage time • subtracts correctly

• 0600 to 0850 = 2hrs 50min • 0700 to 0725 = 25min • 2hrs 50min – 25min = 2hrs 25min

3 marks RE4(a) 4(b)

• knows to calculate l × b × h • multiplies correctly • changes to litres correctly • correct conclusion

• • 30 × 40 × 6 = 7200 cm3 • 7⋅2 litres

3 marks KU• 7 wash loads

1 mark KU5.

• knows how to calculate distance • calculates correctly • subtracts correctly from 260

• D = S × T • 4 × 50 = 200 miles • 260 – 200 = 60 miles still to travel

3 marks RE6(a) 6(b)

• knows to add up numbers in diagonal • adds correctly • 1 or 2 correct entries • 3 or 4 correct entries • all five correct entries

• 10 + 7 + 4 • 21

2 marks KU

3 marks RE7(a) 7(b)

• knows to add numbers and subtract from 160 • adds correctly • subtracts correctly • knows to divide 160 by 4 • divides correctly (adding the 4 marks and dividing is also acceptable)

• 160 – (48 + 35 + 40) • 160 – 123 • 37

3 marks RE• 160 ÷ 4 • 40 marks

2 marks KU

9 8

3 11

5

4

7

10 6

Total Marks for Paper I : KU 14 RE 12

© Pegasys 2005


Foundation Mathematics - Practice Examination G


Paper II


Class Teacher

First name and initials Surname Read Carefully

1. Answer as many questions as you can. 2. Write your answers in the spaces provided . 3. Full credit will be given only where the solution contains appropriate working. 4. You may use a calculator

© Pegasys 2005

KU RE 1. Complete the symmetry pattern below: (3) Spare Grid 2. A snooker ball bounces off the cushion at the exact same angle as it hits it.

Cushion

22o xo

Calculate the size of the angle marked x. (3)

© Pegasys 2005

KU RE 3. (a) Darren received his water bill. The total number of litres used was 66000. Water is charged at 60 pence per 1000 litres. Calculate Darren’s total water bill, in £. (3) (b) Shane’s bill came to £43⋅20. How many litres of water did Shane use? (3) 4. Sara puts money into her savings account every week. She increases her savings by the same amount each week, as shown in the table.

Week Number (n) 1 2 3 4 5 12 Amount saved (£'s) 8 11 14

(a) Complete the table. (3) (b) Write down a rule for calculating the amount of money Sara saves for any given week. (2) (c) One week in the future she knows she will save £65. Which week number would this be? (2)

© Pegasys 2005

KU RE 5. Customers in a café were asked their favourite kind of soup. The results are shown in the table.

Soup No. of People Tomato Vegetable Chicken Minestrone Oxtail

18 13 8 15 4

Use the table to complete the bar graph below. (2) 20 18 16 14 Number of

people 12 10 8 6

4

2 0

Tomato Minestrone

Oxtail Chicken Vegetable

© Pegasys 2005

KU RE 6. The Smith family are booking a holiday. Adults: £224 each

All children ½ price They see this special offer poster in a shop window. (a) Mr & Mrs Smith have 3 children.

How much will their holiday cost with this offer? (3) (b) Ms Jones is a single parent.

Her holiday cost £672 in total for herself and her children. How many children does she have? (3)

7. A handball court is rectangular in shape and can be built in two sizes:

20 ft by 40 ft or 30 ft by 60 ft. Calculate the difference in area between the two courts. (4)

© Pegasys 2005

KU RE 8. Use the information in the table to put the motorbikes in order according to

their top speed, starting with the fastest. (3)

Make Model Engine size (cc)

Top Speed (mph)

Power (bhp)

Suzuki GSX-R 1000 988 180 160 Aprilia RS 250 249 137 67 Honda CBR 900 954 174 151

Kawasaki ZX 6R 636 162 111 BMW R1150 1130 121 95

Order Make of motorbike

1 2 3 4 5

9. Tanya’s hairdryer has 3 heat settings (1, 2 and 3) and 2 speed settings (High and Low). List all the possible combinations that Tanya can use when drying her hair. (3)

Heat Setting Speed Setting

© Pegasys 2005

KU RE 10. Ryan earns £8 per hour in his part-time job.

Friday 1900 – 2200 Saturday 0900 – 1600 Sunday 1200 – 1700

His hours worked for one week are shown. (a) How many hours did Ryan work in total? (2)

(b) Ryan pays National Insurance at 10% and no income tax. Calculate his net pay. (4)

11. Show one possible way of placing 8 crosses ( X ) in the grid so that every row and

column has the same number of crosses. (3)

Spare Grids

© Pegasys 2005

KU RE 12. Jack designed a treasure hunt in his garden. He marked a starting point in the

ground along with a set of instructions.

Direction Distance East 24 m South 18 m West 10 m North 4 m

(a) Make a scale drawing of the route to find the treasure, starting at the dot ( ).

Use a scale of 1 cm to 2 m. (3)

Mark the treasure with a cross ( ). N

Start (b) Using your diagram measure the distance of the treasure from the starting

point and state how far this is in metres. (2)

(c) If you found the treasure what direction would you have to walk in to return directly to the start? (1)

END OF QUESTION PAPER © Pegasys 2005

Foundation Mathematics - Practice Exam A Marking Scheme

1. For 4 805 .......... (1) [ 1 mark KU ]

7. For 25mph .......... (2) [ 2 marks KU ]

2. For 13

of 39 = £13 .......... (1)

For 39 − 13 .......... (1) For £ 26 .......... (1) [ 3 marks KU ]

3. For 29th July .......... (2) [ 2 marks KU ]

4. For marking 700ml on jug .......... (1) [ 1 mark KU ]

5. For horizontal and vertical lines .......... (1) For diagonal lines .......... (2) [ 3 marks RA ]

6. For Time = 1 hour 5 mins .......... (1) For Charge up to 2 hours .......... (1) For Charge = £1 .......... (1) [ 3 marks KU ]

8. For marking 4 X’s together .......... (1)

For marking 4 X’s together with an end seat .......... (1) [ 2 marks RA ]

9. For 25 + 34 = 59 .......... (1)

For 100 − 59 .......... (1) For 41% .......... (1) [ 3 marks KU ]

Pegasys 2005

11. For 06 : 45 .......... (1) For 17 : 30 .......... (1) [ 2 marks KU ]

12. For 6 cm = 60 mm .......... (1) For 60 ÷ 3 .......... (1) For 20 .......... (1) [ 3 marks RA ]

13. For 4 weeks = 28 days .......... (1) For 30 ÷ 28 .......... (1) For 1 . 071428571 .......... (1) For £1 . 07 .......... (1) [ 4 marks KU ]

14. (a) For 50 × 2.5 + 20 .......... (1) For 145 minutes .......... (1) [ 2 marks KU ] (b) For 2 hours = 120 minutes .......... (1) For strategy .......... (1) For 120 − 20 = 100 .......... (1) For 100 ÷ 50 = 2 kg .......... (1) [ 4 marks RA ]

10. For 40 m2 from whole squares .......... (1) For 10 m2 from half squares .......... (1) 50 m2 [ 2 marks KU ]

15. (a)

.......... (1) [ 1 mark KU ] (b) No. of desks 1 2 3 4 ..... 10 .... 20 No. of people 4 6 8 10 .... 22 .... 42 [ 3 marks RA ] (c) desks times 2 add 2 (or equivalent) .......... (2) [ 2 marks RA ]

Pegasys 2005

16. (a) For calculating double time rate 4.20 × 2 = 8.40 .......... (1) For 8.40 × 6 .......... (1) For £50.40 .......... (1) [ 3 marks RA ] (b) For knowing to divide .......... (1) For 33.60 ÷ 8.40 .......... (1) For 4 hours .......... (1) [ 3 marks RA ]

17. (a) For 50 × 5 .......... (1) For 250 ml .......... (1) [ 2 marks KU ] (b) For 1 litre = 1000 ml .......... (1) For 1000 ÷ 50 .......... (1) For 20 glasses .......... (1) [ 3 marks RA ]

18. (a) For 5% of 6.20 .......... (1) For £ 0 . 31 .......... (1) [ 2 marks KU ] (b) For 5% of 8 .......... (1) For £ 0 . 40 .......... (1) [ 2 marks RA ]

19. (a) For 3.5 × 4 .......... (1) For 14 m2 .......... (1) [ 2 marks KU ] (b) For calculating costs of different carpets .......... (1) Canvas shadows = £ 69 . 86 Jumbo cord = £ 41 . 86 Canvas prints = £ 55. 86 Twist piles = £83 . 86 For can afford Jumbo cord and Canvas print .......... (2) [ 3 marks RA ]

20. (a) For dividing .......... (1) For dividing by 12 .......... (1) For £ 0 . 24 .......... (1) [ 3 marks KU ] (b) For £ 3 . 20 ÷ 16 .......... (2) For £ 0 . 20 .......... (1) PENNYWISE is cheaper .......... (1) [ 4 marks RA ]

R A K U

35 35 Totals

Pegasys 2005

Foundation Mathematics - Practice Exam B Marking Scheme

1. For marking answer .......... (1) [1 KU]

2. 16 50 .......... (2) [2 KU]

3. For treasure marked .......... (2) [2 KU] 4. For 10% is 0⋅10 or 1/10 .......... (1) For 10% of £45 = £4.50 .......... (1) For £49.50 .......... (1) [3 KU] 5. For 12 - 10 = 2 .......... (1) For 12 + 3 + 2 + 6 + 10 + 9 .......... (1) For 42 metres .......... (1) [3 KU] 6. For mans speed is 55 mph .......... (1) For answer ...... daughter will arrive first .......... (1) For daughters speed is quicker (or equivalent) .......... (1) [3 RA] 7. (a) For 3.59 + 3.99 = 7.58 .......... (1) For 10.00 - 7.58 = £2.42 .......... (1) [2 KU] (b) For Yes .......... (1) For 10p 10p 10p 5p 5p 2p (or any combination of 42p from which 35p can be taken) .......... (1) [2 RA] 8. (a) For 0951 .......... (1) [1 KU] (b) For correct train ie. at 1233 .......... (1) For 1233 - 15 minutes .......... (1) For answer ..... 1218 .......... (1) [3 RA]

Pegasys 2005

9.

cap t shirt trousers B R B B B B B Y B Y R B Y B B Y Y B

.......... (3) [3 KU] 10. For 455 - 95 = 360 .......... (1) For 360 ÷9 .......... (1) For £40 .......... (1) [3 KU] 11. (a) For 250 × 125 = 31250 square metres (no marks for rectangle only) For 31250 ÷ 2 .......... (1) For 15625 square metres .......... (1) [2 KU] (b) For 15625 × 0.10 .......... (1) For £1562.50 .......... (1) [2 RA] 12. (a) For 123 × 3.85 .......... (1) For £473.55 .......... (1) [1 KU] (b) For 3 × 75 = 225 and 2 × 50 = 100 .......... (1) For 225 + 100 + 38 = 363 .......... (1) For 473.55 - 363 = 110.55 .......... (1) For Yes £110.55 .......... (1) [4 RA] 13. (a) For 105 ÷ 15 .......... (1) For 7 cars .......... (1) [2 KU] (b) For 105 ÷ 5 ........... (1) For 21 cars ........... (1) [2 KU]

Pegasys 2005

14. (a) For 150 ÷ 3 .......... (1) For 50 teaspoons .......... (1) [2 RA] (b) For 50 ÷ 2 .......... (1) For 25 mugs .......... (1) [2 RA] 15. For 180 - 90 - 42 .......... (1) For 48° .......... (1) [2 KU] 16. (a) For Marie - £1.25 .......... (1) For 2 × 30 = 60p .......... (1) For 1.25 + 0.60 .......... (1) For Sandra - £1.85 .......... (1) [4 RA] (b) For 2.15 - 1.25 = 0.90 .......... (1) For 0.90 ÷ 0.30 = 3 .......... (1) For 5 + 3 = 8 .......... (1) [3 RA] 17. For drawing diagram correctly .......... (3) [3 KU] 18. (a) .......... (1) [1 KU] (b) No Of circles 2 3 4 5 6 10 20 No of lines 7 10 13 16 19 31 61 .......... (3) [3 RA] (c) Circles times 3 add 1 (or equivalent) .......... (2) [2 RA]

Pegasys 2005

19. (a) For 16 ÷ 4 .......... (1) For 4 cm .......... (1) [2 KU] (b) For 3 × 4 .......... (1) For 12 cm .......... (1) [2 RA] 20. (a) For 30 pupils .......... (1) [1 KU] (b) For correct sizes of bars .......... (1) For correct labeling of bars .......... (1) For spaces between bars .......... (1) [3 KU] (c) For 12 + 2 = 14 people liked horror and thriller .......... (1) For No there are 30 people in the class, 14 is less than half (or equivalent) .......... (1) [2 RA] 21. (a) For normal price 2 × 2.50 = £5.00 .......... (1) For 5.00 - 3.00 = £2.00 .......... (2) [3 RA] (b) For Aztec - 2 videos for 2 nights = 2 × 3 = £6.00 .......... (1) For Shop 2 (Akad) is cheaper (£5.75) .......... (1) For By £0.25 (as explanation) .......... (1) [3 RA] 22. For 360 - 60 = 300 .......... (1) For 300 ÷ 10 .......... (1) For £30 .......... (1) [3 RA] R A K U

43 31 Totals

Pegasys 2005

Foundation Mathematics - Practice Exam C Marking Scheme 1. For 7 x 8 ………. (1) For 56 ………. (1) [ 2 marks KU ]

2. For 16:50 ………. (1) [ 1 mark KU ]

3. For 25% ( or 1/4 ) of 200 ………. (1) For 50 ………. (1) For 200 - 50 = 150 ………. (1) [ 3 marks KU ]

4. For BIKER ………. (1) [ 1 mark KU ]

5. For Horizontal lines ………. (1) For long sloping line ………. (1) For short sloping line ………. (1) [ 3 marks RA ]

6. For 12 x £2.90 = £34.80 ………. (1) For 12 x £1.60 = £19.20 ………. (1) For .. + £11.50 = £30.70 ………. (1) For ans …. £4.10 ………. (1) [ 4 marks RA ]

7. (a) For 5.5 x 4 ………. (1) For 22 metres squared ………. (1) [ 2 marks KU ] (b) For 15.20 x 22 ………. (1) For £334.40 ………. (1) [ 2 marks RA ]

8. For 01:50 ( 03.50 - 2 hours ) ………. (1) For 01: 50 - 1 hour 25 min ………. (1)

For

………. (1) [ 3 marks RA ]

00 : 25

Pegasys 2005

9. (a) For 24 x 30.50= £732 ………. (1) [

[

[

[

[

For knowing to add 50 ………. (1) For £782 ………. (1) 3 marks KU ] (b) For 782-749=£33 ………. (1) 1 mark KU ]

10. (a) For 14 x 9 x 9 ………. (1) For 1134 cubic metres ………. (1) 2 marks KU ]

(b) For 1 134 3 ………. (1)

For 378 people ………. (1) 2 marks RA ] (c) For 378 x 3.50 ………. (1) For £1,323 ………. (1) 2 marks KU ]

11. (a) [

For drawing 3 rings & 10 beads (1) 1 mark RA ] (b) No. of 1 2 3 4 5 13 rings No. of 4 7 10 13 16 40 beads 1 mark for each number (4) [

[

4 marks RA ] (c) For times 3 add 1 (2) 2 marks RA ]

12. (a) For 18 degrees C (1) [

[

1 mark KU ] (b) For arrow at - 6 (2) 2 marks KU ]

Pegasys 2005

÷

13. (a) For 39 x 4.70 ………. (1) [

[

[

For £183.30 ………. (1) 2 marks KU ] (b) For 4.70 x 2 = 9.40 ………. (1) For 9.40 x 16 ………. (1) For £150.40 ………. (1) 3 marks RA ] (c) For £183.30 + £150.40 ………. (1) For 333.70 x 9.6 ………. (1) For 3203.52 francs ………. (1) 3 marks RA ]

14. (a) For 10 x 6 = 60 ………. (1)

For 6 0 2 ………. (1)

For 30 ………. (1) [ 3 marks KU ] ………. (b) For perimeter = 32 m ………. (1) For 32 x £22.50 ………. (1) For ans. £720 ………. (1) [ 3 marks RA ]

15. For 1 80 - 48 ………. (1)

For 132 ………. (1) [ 2 marks KU ]

16. (a) For Box A ………. (1) [ 1 mark RA ] ………. ………. (b) For 1kg = 1000g ………. (1) For 1000 - 250 ………. (1) For 750 grams ………. (1) [ 3 marks KU ]

÷

o

Pegasys 2005

Pegasys 2005

17. (a) For 12:17 ………. (1) [ 1 mark KU ] (b) For 12 : 23 - 12 : 04 = ………. (1) 19 minutes ………. (1) [ 2 mark KU ] (c) For 2 : 30 - 25 mins = 02:05 ………. (1) must arrive in Clarkston by at least 2 : 05 For 13 : 37 train ………. (1) [ 2 marks RA ]

18. (a) For 50 x 0.95 = 47.50 ………. (1) For 50 x 1.80 = 90 ………. (1) For 90 - 47.50 = £ 42.50 ………. (1) [ 3 marks KU ] ( b ) For 12 x 0.85 = £10.20 pr ………. (1) For 15 - 11.40 = £ 3.60 pr ………. (1) For difference of £6.60 ………. (1) [ 3 marks RA ]

19. (a) For ( 8, 5 ) ………. (1) 1 for each coordinate [ 1 mark KU ] (b) For Cross at point ( 1, 9 ) ………. (1) 1 for each coordinate [ 1 mark KU ]

TOTALS KU 38 RA 36

Foundation Mathematics Practice Exam D Marking Scheme - Paper 2

Give 1 mark for each • Illustrations for awarding each mark 1(a) 1(b)

• know to change into frames per minute • know to change into frames per hour • know to multiply by 2 • know to divide by 24 to change into seconds • know to divide by 60 to change into minutes • divides correctly • change into hours and minutes

• 24 × 60 = 1440 • 1440 × 60 = 86 400 • 86 400 × 2 = 172 800

3 marks KU• 145 440 ÷ 24 = 6060 seconds • 6060 ÷ 60 • 101 minutes • 1 hour 41 minutes

4 marks RE2 • reduce shape horizontally

• reduce shape vertically • • reduce shape diagonally • completion of diagram

• 2 of 3 lines halved • 2/4 lines halved • • (1 mark if 2 or 3 of 6 lines are halved 2 marks if 4, 5 or 6 lines are halved) • completion of diagram

5 marks RE 3. • multiply both costs by 10 correctly

• know to subtract amounts • subtract correctly • change into £

• 30 × 10 = 300p; 6 × 10 = 60p • 300 - 60 • 240p • £2⋅40

4 marks KU4(a) 4(b)

• know to add and divide by 5 • adding correctly • dividing correctly • know to multiply average by 5 • know to add other 4 days • know to subtract two answers • calculations correct

• stated or implied • 442 • 88⋅4 m3

3 marks KU• 93⋅4 × 5 = 467 • 367⋅4 • 467 - 367⋅4 • 99⋅6

4 marks RE5. • know straight angle = 180o

• know to subtract 37o • subtracting correctly

• • 180 - 37 • 143o

3 marks KU6(a) 6(b)

• calculate cost for 2 adults • calculate cost for 5 children • add together • observe 1 adult • subtract £4⋅75 from £18⋅75 • know to divide by cost of child’s ticket • dividing correctly

• 2 × £4⋅75 = £9⋅50 • 5 × £3⋅50 = £17⋅50 • £27

3 marks KU• 1 × £4⋅75 • 18⋅75 - 4⋅75 = £14 • 14 ÷ 3⋅50 • 4 children

4 marks RE

Pegasys 2005

Pegasys 2005

(Marking Instructions for Foundation Level - Paper 2 .........cont'd)

Give 1 mark for each • Illustrations for awarding each mark 7. • completion of table

• •

• 3 marks for all 7 entries correct 2 marks for 5 or 6 correct 1 mark for 3 or 4 correct

3 marks RE8. • know to change all lengths into centimetres

• know how to find volume • find volume • know how to change into litres

• 1⋅5m = 150cm • V = 150× 40 × 60 • V = 360 000cm3 • V = 360 litres

4 marks KU 9. • find scale factor

• know to multiply by scale factor • multiply correctly

• 24 ÷ 8 = 3 • 10 × 3 • 30cm

3 marks KU10.

• know to find diameter of tyre • counts tyres in length correctly • calculate length

• 2⋅5 × 2 = 5cm • 6 tyres • 6 × 5 = 30cm

3 marks RE11(a) 11(b)

• completion of table • • • • • correct rule

• 3 hexagons - 16 matchsticks • 4 hexagons - 21 matchsticks • • 15 hexagons - 76 matchsticks (award 1 mark for evidence of extended pattern with one mistake)

4 marks RE• • multiply by 5 and add 1 (rule must be correct to obtain these 2 marks i.e. 2 or 0 marks only)

2 marks RE

KU RE

23 29

Totals (both papers) ........... KU 41 RE 40

Foundation Mathematics Practice Exam E Marking Scheme - Paper 2

Give 1 mark for each • Illustrations for awarding each mark 1.

• knows how to reflect horizontal lines • knows how to reflect vertical lines • knows how to reflect diagonal lines • knows how to reflect diagonal lines

• 3 out of 4 horizontal lines correct • 3 out of 4 vertical lines correct • 3 out of 4 (4 × 2) diagonal lines correct • 3 out of 4 (3 × 1) diagonal lines correct

4 marks KU2.

• knows to calculate no. of journeys • knows to calculate no. of miles • knows to multiply by 12⋅6 p • knows how to change into £

• 4 days × 2 = 8 journeys • 8 × 19 = 152 miles • 152 × 12⋅6 = 1915⋅2 p • £19⋅15

4 marks KU3. • knowing to multiply 56 by 7p

• change into £ correctly • knowing to subtract from £5 • knowing to divide £1⋅08 by 2 p • dividing correctly

• 56 × 7 = 392p • £3⋅92 • £5 − £3⋅92 = £1⋅08 • £1⋅08 ÷ 2p • 54 minutes

5 marks RE4(a)

• • • as follows 3 marks for 6 or 7 correct 2 marks for 4 or 5 correct 1 mark for 2 or 3 correct 0 marks for only 1 correct

• • • choose from: 2 3 6 7 2 3 8 5 2 5 4 7 2 5 8 3 2 7 4 5 2 7 6 3 2 7 8 1

3 marks RE5(a) 5(b) 5(c)

• correct answer • correct answer • knowing to add and divide by 7 • adding correctly • dividing correctly

• Sunday 1 mark KU

• Saturday and Sunday 1 mark KU

• (2 + 3 + 7 + 9 + 8 + 5 + 1) ÷ 7 • 35 • 5oC

3 marks KU6(a) 6(b)

• correct fraction • simplifying • correct fraction for Spain & France in pie chart • correct fraction for America in pie chart • correct fraction for Italy in pie chart

• 20/80 • 1/4

2 marks KU• 1/8 • 1/4 • 1/2

3 marks RE

Pegasys 2005

Pegasys 2005

Marking Instructions for Foundation Level - Paper 2 (cont.)


• attempting to calculate no. of cubes in each layer • calculating each layer correctly • knowing to add no. in each layer • adding correctly

• • 2, 6, 12, 20, 30 • 2 + 6 + 12 + 20 + 30 • 70

4 marks RE8.

• knowing straight angle = 180o • knowing to divide by 4 • dividing correctly

• • 180 ÷ 4 • 45o

3 marks KU9(a) 9(b)

• write down coordinates • any point south-east of gnome • any point west of flower pot • correct point written or on grid

• (14, 11) 1 mark KU

• e.g. (6, 6), (7, 5) etc. • e.g. (13, 3), (12, 3) etc. • (9, 3)

3 marks RE10.

• knowing to add percentages and subtract from 100% • adding and subtracting correctly • knows to calculate 15% of £1200 • knows to multiply by 15 and divide by 100 • multiplies and divides correctly

• 100 − (30 + 20 + 20 + 15) • 100 − 85 = 15% • • 15 ÷ 100 × 1200 • £180


• finds missing entry in table • finds missing entry in table • evidence of extended pattern • correct entry in table • • correct rule

• 3 squares = 16 matches • 4 squares = 21 matches • • 12 squares = 61 matches (award 1 mark for evidence of extended pattern with one mistake)

4 marks RE• • multiply by 5 and add 1 (rule must be correct to obtain these 2 marks i.e. 2 or 0 marks only)


• knows how to calculate area of rectangle • calculates area of door correctly • calculates area of square front • knows to subtract answers • all calculations correct

• l × b • 70 × 40 = 2800 cm2 • 95 × 95 = 9025 cm2 • 9025 − 2800 • 6225 cm2

5 marks KU13.

• knows to change litres to millilitres • calculates difference between amounts • knows to half difference • knows to pour this amount into bottle B

• 1⋅2 litres = 1200 ml • 1200 − 750 = 450ml • 450 ÷ 2 = 225 ml • pour 225 ml into bottle B

4 marks RE Total for Papers I and II : KU 44 RE 44

Foundation Mathematics Practice Exam F Marking Scheme - Paper 2

Give 1 mark for each • Illustrations for awarding each mark 1(a) 1(b)

• knowing to subtract • subtracting correctly • knowing to multiply no. of units by cost • multiplying correctly • changing into £

• 8340 – 8110 • 230 • 230 × 16 • 3680 p • £36⋅80

5 marks KU 2(a) 2(b)

• plotting A correctly • plotting C correctly • realising AC is a diagonal • attempting to draw other diagonal at 90o • finding B correctly • finding D correctly

• on grid • on grid

2 marks KU• • • B(1, 6) • D(9, 6) .. or other way around

4 marks RE3(a) 3(b)

• finding total no. of marbles • stating fraction • realises now 21 marbles • finds fraction not yellow • simplifies answer

• 5 + 8 + 7 = 20 marbles • yellow = 20

7 2 marks KU

• 20 + 1 = 21 marbles • 21

14 (or one third yellow therefore …) • 3

2 3 marks KU

4.

• finds missing vertical side • and • finds missing horizontal side • knowing to add all sides together • adding correctly

• 9 + 11 = 20 • 15 – 3 • 12 • 15 + 9 + 12 + 11 + 3 + 20 • 70 cm

5 marks RE5.

• adds times together • knowing to subtract above answer from arrival time • subtracting correctly

• 1 hour 20 minutes + 1⋅ 5 hours = 2 hours 50 minutes • 16:45 – 2 hours 50 minutes • 13:55


• knows how to calculate 20% • answer • knowing how to calculate total instalments • knowing to add on deposit • knowing to subtract cash price • subtracting correctly • knowing to divide interest by cash price • simplify fraction

• 51 of £640 or otherwise

• £128 2 marks KU

• 24 × 28 = £672 • 672 + 128 = £800 • 800 – 640 • £160

4 marks RE• 640

160 • 4

1 2 marks KU

Pegasys 2005

Marking Instructions for Foundation Level - Paper II (cont.) Give 1 mark for each • Illustrations for awarding each mark 7(a) 7(b)

• 1 mark for entries for 2 and 3 correct • 1 mark for entries for 4 and 5 correct • evidence of pattern to 10th entry • correct entry for 10 • and • rule completely correct

• 2 – 13 , 3 – 19 • 4 – 25 , 5 – 31 • continuing pattern • 10 – 61

4 marks RE• and • no. of hexagons = 6 × pattern no. + 1

2 marks RE8(a) 8(b)

• knowing to multiply length by breadth • multiplying correctly • finds area of A3 paper • finds area of A2 paper • finds area of A1 paper

• 29⋅7 × 21⋅1 • 626⋅67 cm2

2 marks KU• 626⋅67 × 2 = 1253⋅34 cm2 • 1253⋅34 × 2 = 2506⋅68 cm2 • 2506⋅68 × 2 = 5013⋅36 cm2

3 marks RE 9.

• knowing to add times together and ÷ by 8 • adding correctly • dividing correctly • all calculations correct

• (12 + 16 + … + 17) ÷ 8 • 116 • 116 ÷ 8 = 14⋅5 • 14⋅5 minutes

4 marks KU10(a) 10(b)

• knowing to multiply length by breadth by height • multiplying correctly • calculating volume of new box • knowing to subtract volumes • subtracting correctly

• 20 × 15 × 10 • 3000 cm3 • 25 × 20 × 10 = 5000 cm3 • 5000 – 3000 • 2000 cm3

5 marks KU11.

• Monday and Wednesday always being same • only one sad face in each combination • all combinations different

• see table below • see table below • see table below

3 marks RE

Monday Tuesday Wednesday Thursday Friday brilliant brilliant brilliant brilliant brilliant brilliant

brilliant brilliant brilliant brilliant brilliant brilliant

Total marks: KU 27 RE 28

Total Marks for Papers I and II: KU 41 RE 40

Pegasys 2005

Foundation Mathematics Practice Exam G Marking Scheme - Paper 2


• one correct line • two correct lines • completed diagram

• • • completed diagram

3 marks KU2.

• marks in or implies angle at cushion = 22o • knows to subtract angles from 180o • answer

• • 180 – (22 + 22) • x = 180 – 44 = 136

3 marks KU3(a) 3(b)

• knowing to multiply 60 by 66 and not 66000 • multiplying correctly • knowing to change to £ • knowing to divide 43⋅20 by 0⋅60 or 4320 ÷ 60 • dividing correctly • knowing to multiply by 1000

• 60 × 66 • 3960 p • £39⋅60

3 marks KU• • 72 • 72000 litres


• entries at 4 and 5 correct • evidence of continuing pattern to 12 • correct answer at 12. • two marks for correct answer • • attempts to continue pattern up to 65 (or uses formula – subtract 5 and ÷ 3, or equivalent) • correct answer

• 4 – 17, 5 – 20 • add 3 each time • 12 – 41

3 marks RE• × 3 and + 5 •

2 marks RE• 41, 44, etc to 65 • week 20

2 marks RE5. • correct height for Minestrone

• correct height for Oxtail

• height at 15 • height at 4

2 marks KU6(a) 6(b)

• knows to find cost for 2 adults • finds cost for 1 child • finds total cost of holiday • knows to subtract • knows to divide by cost of one child • answer

• 2 × 224 = £448

• 224 ÷ 2 = £112 • (112 × 3) + 448 = £784

3 marks KU• 672 – 224 = £448

• 448 ÷ 112 • 4 children

3 marks RE7. • knows to calculate areas of two courts

• calculates areas correctly • knows to subtract areas • subtracts correctly

• 20 × 40; 30 × 60 • 800 ft2; 1800 ft2 • 1800 - 800 • 1000 ft2

4 marks KU

© Pegasys 2005


× ×× × × ×× ×

× × × ×

× × × ×


• identifies fastest motorbike • identifies slowest motorbike • all ordered correctly

• Suzuki • BMW • Suzuki, Honda, Kawasaki, Aprilia, BMW

3 marks RE9.

• 2 or 3 correct combinations • 4 or 5 correct combinations • 6 correct combinations

3 marks RE

Heat Speed 1 High 1 Low 2 High 2 Low 3 High 3 Low

10(a) 10(b)

• identifies number of hours worked for 3 days • adding correctly • calculates gross pay correctly • knows to calculate 10% of £120 • calculates correctly • subtracts from gross pay

• Friday – 3 hrs, Saturday – 7 hrs, Sunday – 5 hrs • 3 + 7 + 5 = 15 hrs

2 marks KU• 15 × 8 = £120 • 10 ÷ 100 × 120 or 1/10 × 120 etc. • £12 • 120 – 12 = £108

4 marks KU11.

• all rows have same number of crosses • all columns have same number of crosses • rows and columns have same number of crosses

Possible solutions:

3 marks RE

© Pegasys 2005



• divides lengths by 2 • lengths correct (± 2mm) • directions correct • measures distance correctly (± 3mm) • converts to metres correctly • for answer

• see diagram below •

• 3 marks KU• 10 cm • 20 m 2 marks RE • NW 1 mark RE

Question 12(a): Total Marks for Paper II : KU 27 RE 25 Total for Papers I and II : KU 41 RE 37

© Pegasys 2005

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