1999 mathematics paper b

1999 MATHS PAPER B

1999 Mathematics Paper BInput your name and press send.

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1999 Mathematics Paper B Q1a

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100– ??? = 38

What is the missing number?

1999 Mathematics Paper B Q1b

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? x ? = 65

What could the missing numbers be?


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? x ? = 65

What could the missing numbers be?

(b) Any two numbers which multiply to make 65, eg 13 × 5Accept fractions and decimals, eg 6.5 × 10 OR 130 × ½.Accept 1 × 65 OR 65 × 1.KISS answer = ?

Keep It Simple Stupid!


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160 ÷ ? = 40


1999 Mathematics Paper B Q2

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Write down two numbers which add up to 150

6 3

7 3

8 3

9 3

6 4

7 4

8 4

9 4

6 6

7 6

8 6

9 6

6 5

7 5

8 5

9 5

6 7

7 7

8 7

9 7


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Write down two numbers which add up to 150

6 3

7 3

8 3

9 3

6 4

7 4

8 4

9 4

6 6

7 6

8 6

9 6

6 5

7 5

8 5

9 5

6 7

7 7

8 7

9 7

63 AND 87 OR 64 AND 861OR 65 AND 85 OR 66 AND 84OR 67 AND 83 OR 73 AND 77OR 74 AND 76


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These are the times letters are collected from a post box.

M o n d a y t o F r i d a y S a t u r d a y S u n d a y

8 a m

2 p m

6 : 3 0 p m

1 1 : 3 0 a mn oc o l l e c t i o n

What is the latest time letters are collected on Wednesday?


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8 a m

2 p m

6 : 3 0 p m


Carla posts a letter at 9 am on Monday.How many hours will it be before it is collected?

1999 Mathematics Paper B Q3c

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8 a m

2 p m

6 : 3 0 p m


Gareth posts a letter on Saturday at 3pm.On what day will it be collected from the post box?

C. MondayD. TuesdayE. WednesdayF. ThursdayG. FridayH. Saturday


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8 a m

2 p m

6 : 3 0 p m


Gareth posts a letter on Saturday at 3pm.At what time on Monday will it be collected from the post box?

XL File


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Millie and Ryan play a number game.What's my number?

Is it under 20? YesIs it a multiple of 3? YesIs it a multiple of 5? Yes

What is the number?


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They play the game again.

Is it under 20? NoIs it under 25 ? YesIs it odd YesIs it a prime number? Yes

What is the number?


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Is it under 20? YesIs it a multiple of 3? YesIs it a multiple of 5? Yes

What is the number?1 2 3 4

5 6 7 8

9 10 11 12

13 14 15 16

17 18 19

Least Common Multiple


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20 21 22 23

24

Is it under 20? NoIs it under 25 ? YesIs it odd YesIs it a prime number? Yes

What is the number?

Defining prime numbers


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Write in the four missing digits.Only one digit is represented by each ? – what is the digit?

?? + ?? = 198


Next PageHere are five shapes on a square grid.

A

E

C

B

D

Which shape has two pairs of parallel sides?


Next PageHere are five shapes on a square grid.

A

E

C

B

D

Which shape is a pentagon?


Next Page AnswersHere are five shapes on a square grid.

A

E

C

B

D

Which shape has reflective symmetry?


Next Page Here are five shapes on a square grid.

A

E

C

B

D

Which shape has reflective symmetry?

Which shape has two pairs of parallel sides?

Which shape is a pentagon?

Pent- means 5 e.g. 5 fingers hold a pen – thanks Rosion


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Tom, Amy and Helen want to go on a boat trip.

There are three boats.

L a r k

5 0 m i n u t et r i p

T i c k e t s£ 2 . 7 5e a c h

H e r o n


T i c k e t s£ 3 . 5 0e a c h

K e s t r e l


T i c k e t s£ 4 . 2 0e a c h

How much does it cost altogether for three people to go on the Lark? Answer using the decimal e.g.

4.25{wrong answer}


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L a r k


T i c k e t s£ 2 . 7 5e a c h

H e r o n


T i c k e t s£ 3 . 5 0e a c h

K e s t r e l


T i c k e t s£ 4 . 2 0e a c h

Tom and Amy go on the Heron.They leave at 2:15pm.

At what time do they return?{Answer like so: 8.45}


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L a r k


T i c k e t s£ 2 . 7 5e a c h

H e r o n


T i c k e t s£ 3 . 5 0e a c h

K e s t r e l


T i c k e t s£ 4 . 2 0e a c h

Helen goes on the Kestrel and gets back at 4:15pm.At what time did the boat leave?

{Answer like so: 8.45}

XL File


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Here is the calendar for August 1998.

2

9

1 6

2 3

3 0

3

1 0

1 7

2 4

3 1

4

1 1

1 8

2 5

5

1 2

1 9

2 6

6

1 3

2 0

2 7

7

1 4

2 1

2 8

1

8

1 5

2 2

2 9

A u g u s t 1 9 9 8S u n M o n T u e s W e d T h u r F r i S a t

Simon's birthday is on August 20th.In 1998 he had a party on the Sunday after his birthday.What was the date of his party in August?


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Here is the calendar for August 1998.

2

9

1 6

2 3

3 0

3

1 0

1 7

2 4

3 1

4

1 1

1 8

2 5

5

1 2

1 9

2 6

6

1 3

2 0

2 7

7

1 4

2 1

2 8

1

8

1 5

2 2

2 9

A u g u s t 1 9 9 8S u n M o n T u e s W e d T h u r F r i S a t Tina's birthday is on

September 9th.On what day of the week

was her birthday in 1998?

C. MondayD. TuesdayE. WednesdayF. ThursdayG. FridayH. Saturday


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Write the number that is nearest to 5000 which uses all the digits

4, 5, 6 and 7.


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This diagram shows the distances of different towns from Birmingham.

R h y lM a n s f i e l d

S t o k e D e r b y

B I R M I N G H A M

C o v e n t r y

H e r e f o r d

S w a n s e a

N e w p o r t

O x f o r d

3 0 m i l e s

7 0 m i l e s

5 0 m i l e s

Which towns are between 30 and 50 miles from Birmingham.

• Rhyl• Mansfield• Stoke• Derby• Coventry• Hereford


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Answer Key



S t o k e D e r b y

B I R M I N G H A M

C o v e n t r y

H e r e f o r d

S w a n s e a

N e w p o r t

O x f o r d

3 0 m i l e s

7 0 m i l e s

5 0 m i l e s

Use the diagram to estimate the distance in miles from Birmingham to Mansfield.


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Answer Key



S t o k e D e r b y

B I R M I N G H A M

C o v e n t r y

H e r e f o r d

S w a n s e a

N e w p o r t

O x f o r d

3 0 m i l e s

7 0 m i l e s

5 0 m i l e s

B Use the diagram to estimate the distance in miles from Birmingham to Mansfield.

A Which towns are between 30 and 50 miles from Birmingham.

(a) Derby OR Stoke(b) Answer in the range 60 to 65 inclusive.


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What number when you cube it gives you 1331?

? X ? X ? = 1331


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Halid makes a sequence of 5 numbers.The first number is 2.The last number is 18.His rule is to add the same

amount each time.What are the missing numbers?

2 18


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2 18


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2 18


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2 18

Try trial and error methods

Add 2 2…4..6..8..18 = too small

Add 3 2…5...8..11..18 = too small

Add 4 2.. 6..10..14..18 = spot on!


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Nicola has £50.She buys 3 flowerpots and a spade.

How much money does she have left?Answer with the decimal e.g. 4.44 {wrong answer}


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Seeds are £1.45 for a packet.Steffan has £10 to spend on seeds.

What is the greatest number of packets he can buy?


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Nicola has £50.She buys 3 flowerpots and a spade.

How much money does she have left?Answer with the decimal e.g. 4.44 {wrong answer}

1 Flowerpot = 12.75

3 flowerpots = 12.75 x 3

12.75

12.75

+ 12.75

38.25

£38.25 + spade

= 38.25

+ 9.65

£47.80 £50 - £47.80 = £2.10


Next Page Seeds are £1.45 for a packet.

Steffan has £10 to spend on seeds.What is the greatest number of packets he can buy?

£10.00 ÷ £1.45 = 6.8965517241379310344827586206897Or 6 and a bit so greatest number = 6


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Here is a drawing of a model car.

0 1 2 3 4 5 6 7 8 9 1 0c m

Give your answer in centimetres, correct to one decimal place.


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0 1 2 3 4 5 6 7 8 9 1 0c m

The height of the model is 2.8 centimetres.The height of the real car is 50 times the height of the model.

What is the height of the real car?Give your answer in metres.


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0 1 2 3 4 5 6 7 8 9 1 0c m

The height of the model is 2.8 centimetres.

The height of the real car is 50 times the height of the

model.What is the height of the

real car?Give your answer in

metres.

2.8cm x 50 = 140cm

140 cm = 1.4m


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Answer Key

Samir spins a fair coin and records the results.

In the first four spins 'heads' comes up each time.

1 s ts p i n

2 n ds p i n

3 r ds p i n

4 t hs p i n

H e a d H e a d H e a d H e a d

Samir says,'A head is more likely than a tail'.

Is he correct?

Give a reason for your answer.

1999 Mathematics Paper B Q15Next Page

Samir spins a fair coin and records the results.

In the first four spins 'heads' comes up each time.

1 s ts p i n

2 n ds p i n

3 r ds p i n

4 t hs p i n

H e a d H e a d H e a d H e a dSamir says,

'A head is more likely than a tail'.

Circling of ‘No’ AND an explanation which implies that every spin offers equally likely outcomes, eg ‘It’s still 50 – 50 no matter how many heads you get’;‘Heads and tails are equally likely because it’s a fair coin’;‘The probability is equal’;‘It’s a fair coin’.Do not award a mark for circling ‘No’ alone.Do not award a mark for the question if: ‘Yes’ is circled;OR neither ‘Yes’ nor ‘No’ is circled; unless the explanation unequivocally implies ‘No’.Do not accept vague or arbitrary explanations such as: ·

‘You can’t tell’;‘Time for tails but heads could still come’;‘It could be either’;‘There are 2 sides to the coin’.


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A shop sells sheets of sticky labels.On each sheet there are 36 rows and 18 columns of labels.

How many labels are there altogether on 45 sheets?

1999 Mathematics Paper B Q

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A shop sells sheets of sticky labels.On each sheet there are 36 rows and 18 columns of labels.

How many labels are there altogether on 45 sheets?

1 sheet = 18 x 36

45 sheets = (18 x 36) x 45

45 x 18 x 36 = 29160


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950.4 ÷ = 49.5


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950.4 ÷ = 49.5

6 ÷ ? = 2

? = 3

What did you do with 6 and 2 to get 3? – You divided them do this with the actual numbers:

950.4 ÷ 49.5 = 19.2

Check: 950.4 ÷ 19.2 = 49.5

Keep It Simple Stupid!


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Harry has six tins of soup.The labels have fallen off.

Here are the labels and tins.

P e a S o u p

P e a S o u p

T o m a t oS o u p

T o m a t oS o u p

C h i c k e nS o u p

M u s h r o o mS o u p

Harry chooses a tin.What is the probability that it is a

tin of Pea Soup?Give your answer as a fraction.


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P e a S o u p

P e a S o u p

T o m a t oS o u p

T o m a t oS o u p



Harry chooses a tin.What is the probability that it is a tin of Pea Soup?Give your answer as a fraction.In it’s simplest form possible, what would the fraction be?The top of the fraction would be?

?

?


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P e a S o u p

P e a S o u p

T o m a t oS o u p

T o m a t oS o u p



Harry chooses a tin.What is the probability that it is a tin of Pea Soup?Give your answer as a fraction.In it’s simplest form possible, what would the fraction be?The bottom of the fraction would be?

1

?

1999 Mathematics Paper B Q18d

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P e a S o u p

P e a S o u p

T o m a t oS o u p

T o m a t oS o u p



Harry chooses a tin.What is the probability that it is not a tin of Tomato Soup?Give your answer as a fraction.In it’s simplest form possible, what would the fraction be?The top of the fraction would be?

?

?

1999 Mathematics Paper B Q18e

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P e a S o u p

P e a S o u p

T o m a t oS o u p

T o m a t oS o u p



Harry chooses a tin.What is the probability that it is not a tin of tomato Soup?Give your answer as a fraction.In it’s simplest form possible, what would the fraction be?The bottom of the fraction would be?

2

?


Next Page Answers



P e a S o u p

P e a S o u p

T o m a t oS o u p

T o m a t oS o u p



Harry chooses a tin.What is the probability that it is a tin of Pea Soup?Give your answer as a fraction.In it’s simplest form possible, what would the fraction be?The bottom of the fraction would be?

1

3

Pea soup = 2 out of 6 or 2/6 in its simplest form =

Probability of something happening = Number of ways it can happen

Total number of outcomes

WWW

http://www.mathsisfun.com/data/probability.html


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Answers

Calculate 7/8 of 5000


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Calculate 7/8 of 5000Two approaches:

Find 1/8 of 5000 then multiply to get 7/8

5000 ÷ 8 = 625

625 x 7 = 4375

Second approach: use decimal fractions 7/8 = 0.875

0.875 x 5000 = 4375


Next Page AnswersLindy has 4 triangles, all the same size.

1 3 c m 1 2 c m

5 c mShe uses them to make a star.

N o t t o s c a l e Calculate the perimeter of the star in cm.


Next Page Final questionLindy has 4 triangles, all the same size.

1 3 c m 1 2 c m

5 c mShe uses them to make a star.

N o t t o s c a l e

Calculate the perimeter of the star in cm.

Perimeter = distance around

4 x 13 = 52 cm

Plus (12 – 5 cm) x 4 = 7 x 4 = 28 cm

52 cm + 28 cm = 80 cm


Next Page Answers

Mr Jones has two sizes of square paving stones.

l a r g es m a l l

He uses them to make a path.

1 . 5 5 m

3 . 7 2 m

The path measures 1.55 metres by 3.72 metres.

Calculate the width of a small paving

stone in cm.


End of paperMr Jones has two sizes of square paving stones.

l a r g es m a l l

He uses them to make a path.

1 . 5 5 m

3 . 7 2 m

The path measures 1.55 metres by 3.72 metres.

Calculate the width of a small paving

stone in cm.

6 small squares = 3.72

3.72m = 372 cm so 372 ÷ 6 = 62cm

1999 Mathematics Paper B Q

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1999 mathematics paper b