N.E. LINCS. PRIMARY SCHOOLS’

MATHEMATICS CHALLENGE 2005

N.E. LINCS. PRIMARY SCHOOLS’ MATHEMATICS

CHALLENGE 2005How to use the presentation

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• A mouse will appear on the slide - click once

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Printing slides for children’s use.

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Which number will make this number sentence correct?

5 x 4 x ? = 140

Which number will make this number sentence correct?

5 x 4 x ? = 1405 x 4 x 7 = 140

Answer

Which numbers complete this sequence?

-13

3 19 27 35

Which numbers complete this sequence?

-13

3 19 27 35-5 11

The sequence is - add 8 to the previous number.

To discover the sequence you may have to work backwards and subtract 8.

Answer

What decimal fraction of this shape is shaded red?

What decimal fraction of this shape is shaded red?

Ans. 0.25

As a vulgar (ordinary) fraction the answer would be two-eighths or ¼. This is then changed into a

decimal.

Answer

Emily has three regular hexagons like the one below.

Each side is 5cm long.

She joins them to make a new shape.

What is the perimeter of her new shape?

Emily has three regular hexagons like the one below.

Each side is 5cm long.

She joins them to make a new shape.

What is the perimeter of her new shape?

70 cmThe answer may be found by counting round each line of the

shape in 5cm blocks.

OR

Each hexagon has a perimeter of 30cm. This makes 90 cm altogether. When they are joined 10cm of perimeter is hidden.

They are joined twice,

90cm - 20cm = 70cm.

10 cm hidden here

10 cm hidden here

Answer

Each shape stands for a number.Use the information to work out the value of

each shape.

=

=

=

x

-

÷ 8

2

36

Each shape stands for a number.Use the information to work out the value of

each shape.

=

=

=

x

-

÷ 8

2

366 6

648

4850

Answer

Find the four shapes hidden in the word search

CYLINDER KITE SPHERE RHOMBUS

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Find the four shapes hidden in the word search

CYLINDER KITE SPHERE RHOMBUS

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Answer

Which of the blue shapes below has the same area as the shape on the grid?

A

CD

B

E

Which of the blue shapes below has the same area as the shape on the grid?

A

CD

B

E

18

18

D

Answer

Which five consecutive even numbers add up to 30?

Which five consecutive even numbers add up to 30?

2, 4, 6, 8, 10

Answer

Estimate the size if this angle.N.b.this is a sketch of the original and may not be exact size if reproduced.

Estimate the size of this angle.

900

250

1150

Leeway 1100 to 1200

Answer

The recipe makes 6 Yorkshire puddings.Adjust it for 8 Yorkshire puddings

240 g Flour

3 Eggs

360 ml Water

120 ml Milk

The recipe makes 6 Yorkshire puddings.Adjust it for 8 Yorkshire puddings

240 g Flour

3 Eggs

360 ml Water

120 ml Milk

320 g Flour

4 Eggs

480 ml Water

160 ml Milk

Answer

Two extra people is one third of six people.

Find one third of each item and add it to the original amount.

A Calculate half of a quarter of 48.

B A train leaves the station at 12:35. It arrives after travelling for 100 minutes. What time does it arrive.

Answer in 24 hour clock.

C Jack receives £3.70 change from £10. He buys 2 items. One cost 50p. What did the other item cost?

A Calculate half of a quarter of 48.

B A train leaves the station at 12:35. It arrives after travelling for 100 minutes. What time does it arrive.

Answer in 24 hour clock.

C Jack receives £3.70 change from £10. He buys 2 items. One cost 50p. What did the other item cost?

6

14:15

£5.80Answer

Each cube weighs the same.The cylinder weighs 0.6 Kg.

What is the weight of 1 cube?

2Kg6Kg

Each cube weighs the same.The cylinder weighs 0.6 Kg.

What is the weight of 1 cube?

2Kg6Kg

800 grams

Total weight is 3Kg or 3000 g (on scale)

Cylinder weighs 600g (0.6 Kg)

Three cubes weigh 3 000g - 600g = 2 400 g altogether.

One cube weighs 800g

One cube weighs 2 400 g ÷ 3

800 grams

800 grams

Answer

TRUE OR FALSE?

All odd numbers are prime numbers.

All rectangles are quadrilaterals.

A litre of water weighs 1 Kilogram.

All 3-digit numbers are divisible by three without a remainder.

TRUE OR FALSE?

All odd numbers are prime numbers.

All rectangles are quadrilaterals.

A litre of water weighs 1 Kilogram.

All 3-digit numbers are divisible by three without a remainder.

FALSE

TRUE

FALSE

TRUE

Answer

Jack multiplies 24 by 15 on his calculator.He presses the wrong digits and gets the answer

495 on the display.What is the difference between the correct

answer and the one Jack sees on the calculator display?

Jack multiplies 24 by 15 on his calculator.He presses the wrong digits and gets the answer

495 on the display.What is the difference between the correct

answer and the one Jack sees on the calculator display?

495 - 360 = 135

24 x 15 = 360

Answer

Use the information given to put the heights of the five children in order starting with the

smallest child.

Tom is 8 cm smaller than Jack.

Jack is 2 cm taller than Ben.

Ben is 1.5 m tall.

Jack is 4 cm smaller than Emily.

Amy is 10 cm smaller than Ben.

Use the information given to put the heights of the five children in order starting with the

smallest child.

Tom is 8 cm smaller than Jack.

Jack is 2 cm taller than Ben.

Ben is 1.5 m tall.

Jack is 4 cm smaller than Emily.

Amy is 10 cm smaller than Ben.

AMY 140 cmTOM 144 cmBEN 150 cmJACK 152 cmEMILY 156 cm

Answer

HINT: Work in cm.

Both shapes are regular and have the same perimeter.

How long is one side of the triangle?

12 cm

Both shapes are regular and have the same perimeter.

How long is one side of the triangle?

12 cmPerimeter of

equilateral triangle is 60 cm.

1 side is 60 ÷ 3 = 20 cm.

Perimeter of regular pentagon is

5 x 12 cm = 60cm

Answer

The numbers in the pyramid are calculated by adding the two numbers immediately below.

Complete the pyramid.

2 3 11

16

The numbers in the pyramid are calculated by adding the two numbers immediately below.

Complete the pyramid.

2 3 11

16

13

15

14

31

30

61

Answer

Each cube has a surface area of 6 square units. The shape below is made from similar cubes

What is the total surface area of the new shape?

Each cube has a surface area of 6 square units. The shape below is made from similar cubes

What is the total surface area of the new shape?

18 square units.

Total surface area is 6 x 4 = 24.

Each join takes away 2 faces or 2 square units. There are three joins so the new area is 24 - 6 = 18 square units

2 square units hidden here

2 square units hidden here and

here

Answer

Or you could just count

It takes 3 of the middle container to fill the large one.

It takes six of the small one to fill the middle one.How many millilitres does the small container

hold?

450 ml

It takes 3 of the middle container to fill the large one.

It takes six of the small one to fill the middle one.How many millilitres does the small container

hold?

450 ml

÷3

÷6

150 ml

25 ml

Answer

Each line in the drawing adds up to 1000.Complete the boxes to make the target total for

each line.

550

375 250

150

Each line in the drawing adds up to 1000.Complete the boxes to make the target total for

each line.

550

375 250

150

375

475

75

Answer

Amy makes rectangular shapes by linking three similar rectangles.

How many rectangles can you count altogether in Amy’s drawing?

Amy makes rectangular shapes by linking three similar rectangles.

How many rectangles can you count altogether in Amy’s drawing?

11

3 2

24Answer

Below is an EQUATION

3n + 9 = 30

What does n equal?

Below is an EQUATION

3n + 9 = 30

What does n equal?

3n = 30 - 9

3n = 21

n = 7

Answer

A house is bought for £175 000.A year later the house is sold for 10% more than

it cost originally.

What is the new price?

A house is bought for £175 000.A year later the house is sold for 10% more than

it cost originally.

What is the new price?

10% 0f £175 000 is £17 500.

Add together £175 000 and £17 500.

New price £192 500.

Answer

The box is as wide as it is tall.

What is the volume of the box?

12 cm

5 cm

The box is as wide as it is tall.

What is the volume of the box?

12 cm

5 cm

5 cm

Volume = l x b x h

12cm x 5cm x 5cm = 300cm3

Answer

Ben says that a x a x a = a3

a3 = 125

What does a equal?

Ben says that a x a x a = a3

a3 = 125

What does a equal?

a = 5

5 x 5 x 5 = 125

Answer

The number completing this number sentence is the same for each box.

Which number completes the sentence?

175 = + 45 + 40 + +

The number completing this number sentence is the same for each box.

Which number completes the sentence?

175 = + 45 + 40 + +

30 30 30

Another 90 needs to be added to 45 + 40 to make 175.

As each box is the same amount the answer is 30

Answer

BONUS ROUND

All three questions must be answered correctly to score bonus points

A. Six similar sweets cost a total of £2.40.

How much does 1 sweet cost?

B. Two boxes weigh 100 g altogether.

One weighs 10 g more than the other.

How much does each box weigh?

C. How many minutes are there between 9:25 a.m. and 11:15 a.m.?

BONUS ROUND

All three questions must be answered correctly to score bonus points

A. Six similar sweets cost a total of £2.40.

How much does 1 sweet cost?

B. Two boxes weigh 100 g altogether.

One weighs 10 g more than the other.

How much does each box weigh?

C. How many minutes are there between 9:25 a.m. and 11:15 a.m.?

0.40p

55 g & 45

g

110 min.

Answer

Amy has some jumbled mathematical shapes.

Can you sort them out?

A. LY IN RED C

B. GO ON ACT

C. RING A TEL

Amy has some jumbled mathematical shapes.

Can you sort them out?

A. LY IN RED C

B. GO ON ACT

C. RING A TEL

CYLINDER

OCTAGON

TRIANGLE

Answer

Draw any two lines of symmetry on the shape below

Draw any two lines of symmetry on the shape below

Answer

What percentage of this shape is not shaded red?

What percentage of this shape is not shaded red?

15 squares out of 20 are not red.

This is ¾ of the shape = 75%

25% of the squares are red.

100% - 25% = 75% not red

Answer

Estimate the length of a given curved line in mm.

[There is a leeway for the answer]

Estimate the length of a given curved line in mm.

[There is a leeway for the answer]

A line of this configuration was

given.

The answer was between 140 and 160

mm.

Answer

Which two decimal fractions are shown on the number line?

2.0 4.0

A B

Which two decimal fractions are shown on the number line?

2.0 4.0

A B

A = 1.7 B = 3.4

Answer

How many cubes are needed to build this shape?

(Look and think carefully)

How many cubes are needed to build this shape?

(Look and think carefully)

14 cubesThe arrows show where hidden cubes must be placed to

make the shape stand up.

Answer

Emily uses five digit cards.She makes the smallest 3-digit odd number and

makes a note of it.She then makes the largest 3-digit even number.

She subtracts her two answers.What is her result?

983 7 4

Emily uses five digit cards.She makes the smallest 3-digit odd number and

makes a note of it.She then makes the largest 3-digit even number.

She subtracts her two answers.What is her result?

983 7 4

3 74

9 8 4

SMALLEST 3-DIGIT ODD NUMBER

LARGEST 3-DIGIT EVEN

NUMBER

9 8 4

3 74-

3 76Answer

The coins show Jack’s change from £10. Which item did he buy?

£5.45 £4.45£6.45 £4.55£4.65

The coins show Jack’s change from £10. Which item did he buy?

£5.45 £4.45£6.45 £4.55£4.65

The money totals £5.45.

The plant at £4.55 added to the change gives Jack’s original total of £10

Answer

The vertical lines of the square pass through the centres of the circles.

The radius of each circle is 5.5 cm.What is the perimeter of the square?

The vertical lines of the square pass through the centres of the circles.

The radius of each circle is 5.5 cm.What is the perimeter of the square?

The radius of the circle is 5.5 cm

The diameter of the circle is 11 cmThe sides of the square and the diameter are the same length = 11 cm

11 cm

4 x 11 cm = 44 cm

Answer

The advert shows holiday prices to Costa Packet.

COSTA PACKETThe ideal

family holiday

14 Nights at the Hotel Fawlty

Half board

Under 16’s 50% reduction.

Under fives go for £20

£240pp

Mr. and Mrs. Smith take grandma, baby Jake [3 years old] and Lucy [15 years old]

on holiday.

How much does the holiday cost altogether?

The advert shows holiday prices to Costa Packet.

COSTA PACKETThe ideal

family holiday

14 Nights at the Hotel Fawlty

Half board

Under 16’s 50% reduction.

Under fives go for £20

£240pp

Mr. and Mrs. Smith take grandma, baby Jake [3 years old] and Lucy [15 years old]

on holiday.

How much does the holiday cost altogether?

£890

Answer

The graph shows how a number of children travel to school

2 CHILDREN

A. How many more children walked than came by bus?

B. 60 children took part in the survey. How many came to school on a bicycle?

WALK

CAR

BICYCLE

TAXI

BUS

The graph shows how a number of children travel to school

2 CHILDREN

A. How many more children walked than came by bus?

B. 60 children took part in the survey. How many came to school on a bicycle?

WALK

CAR

BICYCLE

TAXI

BUS

21

8

21 - 8 = 13

60 - 47 = 13

15

3

Answer

40% 0f a number is 60.

What is the number?

40% 0f a number is 60.

What is the number?

If 40% is 60 then 10% of the number is 60 ÷ 4 = 15.

100% is 10 x 15 = 150100% is [2 x 40%] + 20%.

2 x 40% = 120

20% of the number is 30

The number is 120 + 30 = 150

Answer

a

BONUS ROUND - All three questions must be answered correctly.

The triangle is equilateral. Calculate angle a

Each square on the grid represents 1cm2. What is the area of the shape drawn on the grid?

The area of the large square is 36cm2.

What is the area of the blue square?

a

BONUS ROUND - All three questions must be answered correctly.

The triangle is equilateral. Calculate angle a

Each square on the grid represents 1cm2. What is the area of the shape drawn on the grid?

The area of the large square is 36cm2.

What is the area of the blue square?

14cm2

9cm2

180o - 60o = 1200

Answer

Jack’s parents’ car weighs 1.2 tonnes

Jack’s bicycle weighs 24 000 grams.

What is the weight of the car and bicycle altogether in Kilograms?

Jack’s parents’ car weighs 1.2 tonnes.

Jack’s bicycle weighs 24 000 grams.

What is the weight of the car and bicycle altogether in Kilograms?

1 200 Kg

24 Kg

1 2 24 Kg

Answer

Ben thinks of two numbers.

Their total is 5000.

Number A is 1200 smaller than number B.

What is the value of each number?

Ben thinks of two numbers.

Their total is 5000.

Number A is 1200 smaller than number B.

What is the value of each number?

Number A is 1900 number B is 3100

Answer

Both shapes below are regular and have the same perimeter.

The length of one side of shape B is 120 cm.

What is the length of one side of shape A?

A B

Both shapes below are regular and have the same perimeter.

The length of one side of shape B is 120 cm.

What is the length of one side of shape A?A B

480 cm ÷ 5 = 96 cm

Perimeter 480cm

( 4 x 120cm)

Answer

The chart shows the cost of making telephone call.

Listeners Telephone Co.Charges

Standing Charge £25Local calls 5p per minuteNational calls 20p per minute Emily’s phone bill is £53.

She makes 110 minutes of national calls.

How many minutes of local calls did she make?

The chart shows the cost of making telephone call.

Listeners Telephone Co.Charges

Standing Charge £25Local calls 5p per minuteNational calls 20p per minute Emily’s phone bill is £53.

She makes 110 minutes of national calls.

How many minutes of local calls did she make?

120 minutesAnswer

King’s Park Rovers win a home football match 2-1.

What are the possible half-time scores at the game?

King’s Park Rovers win a home football match 2-1.

What are the possible half-time scores at the game?

0-0

1-0

2-0

2-1

1-1

0-1

Answer

Emily earns 50p one day.The next day she earns £1.

Her wages double each day from the day before.How much does she earn altogether in eight

consecutive days?

Emily earns 50p one day.The next day she earns £1.

Her wages double each day from the day before.How much does she earn altogether in eight

consecutive days?

Day 1 50p

Day 2 £ 1

Day 3 £ 2

Day 4 £ 4

Day 5 £ 8

Day 6 £16

Day 7 £32

Day 8 £64

£127.50

Answer

The drawing shows a string belt around two circular drums.

The circumference of drum A is 60 cm.

The circumference of drum B is half as much again as drum A.

Using all the information available calculate how much string isused for the belt.

A B

55 cm

The drawing shows a string belt around two circular drums.

The circumference of drum A is 60 cm.

The circumference of drum B is half as much again as drum A.

Using all the information available calculate how much string isused for the belt.

A B

55 cm

185 cmAnswer

30cm 45cm

55cm

N.E. LINCSPRIMARY SCHOOLS’

MATHEMATICS CHALLENGE 2005

N.E. LINCS. PRIMARY SCHOOLS’ MATHEMATICS

CHALLENGE 2005How to use the presentation

• Each question is presented twice.

• Slides with a red square in the top right corner are the tasks to be performed and are printable for child use.

• Click to the duplicate slide to display the answer.

• A mouse will appear on the slide - click once

• The slide will then process the answer automatically and where appropriate present a strategy for solving the problem.

• When the process is complete a green arrow will appear.

• Click the green arrow and the slide will move to the next problem.

Printing slides for children’s use.

• Select the numbers of slides to be printed

• Select Ctrl P.

• Type slide numbers in the appropriate box.

• Suggest select:

Pure black and white

Frame slides

Scale to fit paper

• Select print what:

• Highlight number of slides per page, (handouts 2 slides per page) works well.

• Select number of copies.

• Click OK.

Which three numbers from this list make 200 when added together?

99 61 80 21 39

Which three numbers from this list make 200 when added together?

99 61 80 21 39

Which three numbers from this list make 200 when added together?

99 61 80 21 39

Which three numbers from this list make 200 when added together?

99 61 80 21 39

Answer

The local zoo receives a delivery of tropical spiders and snakes.They are all in the same box.

The zoo keeper counts 64 legs and 23 heads.

How many snakes are there?

The local zoo receives a delivery of tropical spiders and snakes.They are all in the same box.

The zoo keeper counts 64 legs and 23 heads.

How many snakes are there?15 SNAKES [23 - 8

= 15]

[The 64 legs belong to 8 spiders because it is very difficult to count snakes ‘legs’]

Answer

Three of the five drawings below show nets of aclosed cube.

The other two do not.Which of the three nets will make a cube?

A B

C

DE

A B

C

DE

Three of the five drawings below show nets of aclosed cube.

The other two do not.Which of the three nets will make a cube?

Answer

x 30

6005 30

Complete the grid and write the answer to the calculation

x 30

6005 30

6

12015

0

20

Complete the grid and write the answer to the calculation

36 x 25 = 900

Answer

BONUS ROUND.

Answer all the three questions correctly in any one try.

1. Emily has 30p left after spending 45p. Tom has four 10p coinsleft after spending 50p. How much did they start withaltogether?

2. Which 2 numbers come next in this sequence?

27 24 20 15 ? ?

3. Jody is 1m 25cm tall. How many millimeters is this?

BONUS ROUND.

Answer all the three questions correctly in any one try.

1. Emily has 30p left after spending 45p. Tom has four 10p coinsleft after spending 50p. How much did they start withaltogether?

2. Which 2 numbers come next in this sequence?

27 24 20 15 ? ?

3. Jody is 1m 25cm tall. How many millimeters is this?

165p or £1.65

9 2

1250 mm

Answer

-3 -4 -5 -6 -7

The scale shows the total weight of three parcels.Parcel C weighs twice as much as parcel A.

What are the individual weights of parcels A and C?

1Kg

3Kg

A C1200g

The scale shows the total weight of three parcels.Parcel C weighs twice as much as parcel A.

What are the individual weights of parcels A and C?

1Kg

3Kg

A C1200g

800g 1600g

Answer

This is a pattern of counters in a long line.Two black, four white and so on.

A. What colour will the 38th counter be?

B. What position will the 15th white counter be in the whole line?

This is a pattern of counters in a long line.Two black, four white and so on.

A. What colour will the 38th counter be?

B. What position will the 15th white counter be in the whole line?

23rd in line

Answer

The sketch map shows the road leading to the local school.

Amy lives 345 metres away from the school gates.Ben’s house is 95 metres closer to the school gates than Amy’s

house.Ben’s house is 235 metres from Tom’s house.How far apart are Amy’s and Ben’s houses?

Ben’shouse

Amy’shouse

School

Church Tom’shouse

The sketch map shows the road leading to the local school.

Amy lives 345 metres away from the school gates.Ben’s house is 95 metres closer to the school gates than Amy’s

house.Ben’s house is 235 metres from Tom’s house.How far apart are Amy’s and Ben’s houses?

Ben’shouse

Amy’shouse

School

Church Tom’shouse

595 m

345m

250m

Answer

How many right angles are there in the drawingbelow?

How many right angles are there in the drawingbelow?

16

Answer

Which of the sketches below reflects this shape in the dotted mirror line?

A B C D E F

Which of the sketches below reflects this shape in the dotted mirror line?

A B C D E FE

Answer

Below is a number grid.

Look at each pair of corner numbers in turn and subtract one from the other.

Write your answers in the box below.All answers are positive integers.

9 1 8 4

12

2 3 15

16

7 11

6

18

20

5 10

Below is a number grid.

Look at each pair of corner numbers in turn and subtract one from the other.

Write your answers in the box below.All answers are positive integers.

9 1 8 4

12

2 3 15

16

7 11

6

18

20

5 10

5, 6, 8, 9, 14, 1

Answer

The area of the square is 121 cm2

The dotted triangle is equilateral.

What is the perimeter of the triangle?

The area of the square is 121 cm2

The dotted triangle is equilateral.

What is the perimeter of the triangle?

Perimeter = 33 cm

11 cm11 cm

Answer

The dotted lines show how Emily ties a parcel up with string.

If she uses an extra 35 cm for tying the parcel how much string doesshe use altogether?

15 cm

15 cm

45 cm

The dotted lines show how Emily ties a parcel up with string.

If she uses an extra 35 cm for tying the parcel how much string doesshe use altogether?

15 cm

15 cm

45 cm 215 cm

Answer

0

100

200

300 The graph shows the

number of tyres sold at a garage over six

days.

Mon

Tue

Wed

Thurs

Fri Sat

A. How many more tyres were sold on Monday than Tuesday?

B. On Wednesday, Thursday and Friday 475 tyres were sold altogether. How many tyres were sold on Thursday?

C. A tyre costs on average £40. What was the value of tyres sold on Friday altogether?

0

100

200

300 The graph shows the

number of tyres sold at a garage over six

days.

Mon

Tue

Wed

Thurs

Fri Sat

A. How many more tyres were sold on Monday than Tuesday?

B. On Wednesday, Thursday and Friday 475 tyres were sold altogether. How many tyres were sold on Thursday?

C. A tyre costs on average £40. What was the value of tyres sold on Friday altogether?

50

125

£4 000

Answer

The mathematical words below are only half shown.Work out which words are shown and write them in the answer box.

D I A G O N A L

P A R A L L E L

F R A C T I O N

The mathematical words below are only half shown.Work out which words are shown and write them in the answer box.

D I A G O N A L

P A R A L L E L

F R A C T I O N

D I A G O N A L

P A R A L L E L

F R A C T I O N

Answer

Jack has two shelves each 120 cm long.

Each book is 3.0 cm wide.

The bottom shelf is full.

The top shelf has nine books on it.

How many books are on the two shelvesaltogether?

Jack has two shelves each 120 cm long.

Each book is 3.0 cm wide.

The bottom shelf is full.

The top shelf has nine books on it.

How many books are on the two shelvesaltogether?

49 books

Answer

The gauge shows petrol in a car’s fuel tank.

The tank is ¾ full.The car travels 8 Km on every litre of fuel.

How much fuel is left in the tank after a journey of 76Km?

Petrol in litres

60 L

0 L

E F

The gauge shows petrol in a car’s fuel tank.

The tank is ¾ full.The car travels 8 Km on every litre of fuel.

How much fuel is left in the tank after a journey of 76Km?

Petrol in litres

60 L

0 L

E F

A journey of 76Km use 9.5 Litres of fuel.

¾ of the tank is 45 Litres of fuel

45 L - 9.5L = 35.5L

Answer

Amy has two bars of chocolate like the one below.Amy, Jack and Ben eat all the chocolate.

Amy gives Ben one third of the chocolate.Jack eats 4 more squares than Amy.

How many squares of chocolate does each child eat?

C CCC C C

C CCC C C

Amy has two bars of chocolate like the one below.Amy, Jack and Ben eat all the chocolate.

Amy gives Ben one third of the chocolate.Jack eats 4 more squares than Amy.

How many squares of chocolate does each child eat?

C CCC C C

C CCC C C

Ben eats 8 pieces, Amy eats 6 pieces, Jack eats 10 pieces

Answer

Amy, Ben, Jack and Emily each round a three digit number tothe nearest hundred.

They all have the same answer of 400.Which of the four numbers from the list below could they have

chosen?

451 374 344 1399 489

401 349 466 351 3420

333 2400 444 501 299

451 374 344 1399 489

401 349 466 351 3420

333 2400 444 501 299

Amy, Ben, Jack and Emily each round a three digit number tothe nearest hundred.

They all have the same answer of 400.Which of the four numbers from the list below could they have

chosen?

Answer

True or false.

Three of these statements are true.Underline the correct statements.

A. An isosceles triangle has two equal angles.

B. The sum of the digits of all four-digit numbers is always even.

C. All rectangles have four lines of symmetry.

D. A cone has a circular base.

E. The prefix HEX means six.

F. All prime numbers are greater than 2.

True or false.

Three of these statements are true.Underline the correct statements.

A. An isosceles triangle has two equal angles.

B. The sum of the digits of all four-digit numbers is always even.

C. All rectangles have four lines of symmetry.

D. A cone has a circular base.

E. The prefix HEX means six.

F. All prime numbers are greater than 2.

Answer

Change this fraction into a decimal number.

58

Change this fraction into a decimal number.

58

5 ÷ 8 = 0.625

Answer

Ben bought a new car in 2003.

It cost £12 800.

He sold it after 2 years at 15% less than he paid for it.

What price did he sell the car for?

Ben bought a new car in 2003.

It cost £12 800.

He sold it after 2 years at 15% less than he paid for it.

What price did he sell the car for?

10% of £12 800 = £1 280

5% of £12 800 = £640

15% of £12 800 = £1 920

Selling price = £12 800 - £1 920 = £10 880

Answer

How many minutes are there in 240 hours?

How many minutes are there in 240 hours?

24 x 60 = 1 440 min [24 hours]

1440 x 10 = 14 440 min [240 hours]

Answer

Each line of numbers adds up to 100.

Which three numbers are missing?

Write your answers in the answer boxes.

36 28

52

29

Each line of numbers adds up to 100.

Which three numbers are missing?

Write your answers in the answer boxes.

36 28

52

29

13

51 20

Answer

Amy is investigating which shapes will tessellate [fittogether] like the regular hexagons below.

She finds that some will tessellate on their own and othersneed another shape to complete the pattern

Amy has some regular octagons and finds that she needsanother shape to fit into a pattern.

Which other shape does she need?

Amy is investigating which shapes will tessellate [fittogether] like the regular hexagons below.

She finds that some will tessellate on their own and othersneed another shape to complete the pattern

Amy has some regular octagons and finds that she needsanother shape to fit into a pattern.

Which other shape does she need?

Square

Answer

Jack has a number pyramid.

The numbers above are found by multiplying thetwo numbers immediately below.

Which numbers does Jack need to complete hispyramid?

1 2 2 3

8

Jack has a number pyramid.

The numbers above are found by multiplying thetwo numbers immediately below.

Which numbers does Jack need to complete hispyramid?

1 2 2 3

8

2 4 6

24

192

Answer

Ben has two fractions on a number line shown by thearrows.

He adds the two fractions together.What is his answer?

1 4

Ben has two fractions on a number line shown by thearrows.

He adds the two fractions together.What is his answer?

1 4

1 34

5

1

5

14

5 31

5+ = 5

Answer

E m i l y g o e s s h o p p i n g w i t h £ 2 0 .

W h e n s h e h a s fi n i s h e d s h e h a s £ 8 . 4 5 l e f t .

S h e b u y s tw o i t e m s f r o m th e s e l e c t i o n b e l o w . W h i c h t w o d i ds h e b u y ?

£ 8 . 4 5

£ 2 . 3 0£ 1 1 . 5 5 £ 9 . 2 5

£ 6 . 1 5

E m i l y g o e s s h o p p i n g w i t h £ 2 0 .

W h e n s h e h a s fi n i s h e d s h e h a s £ 8 . 4 5 l e f t .

S h e b u y s tw o i t e m s f r o m th e s e l e c t i o n b e l o w . W h i c h t w o d i ds h e b u y ?

£ 8 . 4 5

£ 2 . 3 0£ 1 1 . 5 5 £ 9 . 2 5

£ 6 . 1 5

Emily spends £20 - £8.45 = £11.55

Answer

Draw a rectangle on the grid that has an area of18 square units and a perimeter of 18 units.

Draw a rectangle on the grid that has an area of18 square units and a perimeter of 18 units.

Any 6 x 3 rectangle [oblong] in any orientation

18units2

Perimeter 18 units

Answer

The sum of the digits of the number 15 is 6.

Find all the other 2-digit numbers that have adigit total of 6.

[Hint; there are less than you possibly think and there is apattern.]

The sum of the digits of the number 15 is 6.

Find all the other 2-digit numbers that have adigit total of 6.

15, 24, 33, 42, 51, 6015, 24, 33, 42, 51, 60

Answer

The opposite faces on a 1 to 6 dice add up to7.

The net below will fold to make a die (dice).

Write in the missing numbers in their correctplace on the net.

6 2

4

The opposite faces on a 1 to 6 dice add up to 7.

The net below will fold to make a dice.

Write in the missing numbers in their correctplace on the net.

6 2

4

3

1 5

Answer

Amy is cutting squares from sheets of paper.Some are shown in red.

The incomplete drawing will help you to calculate how manysquares might be cut from one whole sheet with nothing left

over.Amy has 15 sheets.

How many squares of paper will she have altogether?

Amy is cutting squares from sheets of paper.Some are shown in red.

The incomplete drawing will help you to calculate how manysquares might be cut from one whole sheet with nothing left

over.Amy has 15 sheets.

How many squares of paper will she have altogether?

Complete one vertical and horizontal line to help youThe grid is 5 x 9

She can cut 45 squares from one sheet.

From 15 sheets she will cut

45 x 15 = 675 squares

Answer

Ben is playing golf.

He is playing the par 4 third hole, a distance of 348metres.

His first shot travels 163 m, his second 119 m and hisfourth shot a putt is 8m.

What was the length of his third shot?

348m - [163m + 119m + 8m]

348m - 290m = 58m

Ben is playing golf.

He is playing the par 4 third hole, a distance of 348metres.

His first shot travels 163 m, his second 119 m and hisfourth shot a putt is 8m.

What was the length of his third shot?

Answer

A. 250 people attend a concert. They each pay £10.50 for aticket. How much is this altogether?

B. How many 100gram bars of chocolate can be made from4.5 Kg of chocolate?

C. Calculate angle a.850 a

A. 250 people attend a concert. They each pay £10.50 for aticket. How much is this altogether?

B. How many 100gram bars of chocolate can be made from4.5 Kg of chocolate?

C. Calculate angle a.850 a

£2 625

45 bars

1800 - 850 = 950

Answer

Emily has a recording tape that lasts for 3 hours.

She records two programmes and has 1¼ hours lefton the tape.

One programme lasts for 50 minutes.

How long was the second programme?

Emily has a recording tape that lasts for 3 hours.

She records two programmes and has 1¼ hours lefton the tape.

One programme lasts for 50 minutes.

How long was the second programme?

Two programmes last 180min. - 75min. = 105min.

The second programme lasts

105min - 50min, = 55min.

Answer

The lock to Jack’s briefcase has a combination of 3 digits.

The tens digit is greater than 7.

He units digit is odd and less than 5.

The hundreds digit is an even prime number.

What are the possible combinations for his lock?

The lock to Jack’s briefcase has a combination of 3 digits.

The tens digit is greater than 7.

He units digit is odd and less than 5.

The hundreds digit is an even prime number.

What are the possible combinations for his lock?

271, 273, 281, 283

Answer

The drawing shows squares inside squares.The area of the middle square is 3cm2.

What is the area of the outermost square?

The drawing shows squares inside squares.The area of the middle square is 3cm2.

What is the area of the outermost square?

The outer squares are double the area of the

one inside

3cm2

6cm212cm224cm248cm2

Answer

A sequence of shapes makes this pattern.

Number of

squares

Number of

circles

1 3

2 5

3 7

How many squares will there be in a pattern that has 25 circles?

A sequence of shapes makes this pattern.

Number of

squares

Number of

circles

1 3

2 5

3 7

How many squares will there be in a pattern that has 25 circles?

The pattern is - number of squares equals the number of circles subtract one then halve your answer.

25 - 1 = 24

Half of 24 is 12 squares

Answer

In a code the letters of the alphabet are represented by numbers.

A is 26, B is 25, C is 24 ………………… Y is 2 and Z is 1

Which mathematical words are shown by these combinations ofnumbers?

11

2 9 26

14

18

23

8 24

26

15

22

13

22

11

9 12

23

6 24

7

In a code the letters of the alphabet are represented by numbers.

A is 26, B is 25, C is 24 ………………… Y is 2 and Z is 1

Which mathematical words are shown by these combinations ofnumbers?

11

2 9 26

14

18

23

8 24

26

15

22

13

22

11

9 12

23

6 24

7

P Y R A M I D

S C A L E N E

P R O D U C T

Answer

The yellow rectangle has a perimeter of 30 cm.

What is the area of the blue square?

10 cm

The yellow rectangle has a perimeter of 30 cm.

What is the area of the blue square?

10 cm

The square and rectangle have a common side 5cm long

The area of the square is 5cm x 5cm = 25cm2

5cm

Answer

The difference between two positive numbers is350.

One number is a quarter of 800.

What are the two numbers?

The difference between two positive numbers is350.

One number is a quarter of 800.

What are the two numbers?

One number is 800 ÷ 4 = 200.

The other number is 350 more than this number.

The two numbers are 550 and 200

Answer

Books in a library are arranged by the Dewey system ofdecimal numbers. E.g. book 256.231 comes before book

361.087.

There are six books below. Put them in order as they might beon a shelf starting with the lowest number.

Book A

852.259

Book B

825.955

Book C

582.529

Book D

852.529

Book E

825.928

Book F

851.016

Books in a library are arranged by the Dewey system ofdecimal numbers. E.g. book 256.231 comes before book

361.087.

There are six books below. Put them in order as they might beon a shelf starting with the lowest number.

Book A

852.259

Book B

825.955

Book C

582.529

Book D

852.529

Book E

825.928

Book F

851.016

C E B F A D

Book C

582.529

Book E

825.928

Book B

825.955

Book F

851.016

Book A

852.259

Book D

852.529

Answer

Amy and Jack are both saving for a digital camera costing £175.

Amy has saved £97 and Ben has saved £108.

How much more do they each have to save?

£175

Amy and Jack are both saving for a digital camera costing £175.

Amy has saved £97 and Ben has saved £108.

How much more do they each have to save?

£175

Amy needs £175 - £97 = £78

Ben needs £175 - £108 = £67

Answer

Draw the reflection of this shape accurately in the mirror line

Draw the reflection of this shape accurately in the mirror line

Answer

What is the value of ‘n’ in this number statement?

5n + 6 = 66

What is the value of ‘n’ in this number statement?

5n + 6 = 66

5n = 66 - 6

5n = 60

n = 60 ÷ 5 = 12

Answer

The range of a set of numbers is 45.9

The largest number in the set is 98.4.

What is the smallest number in the set?

The range of a set of numbers is 45.9

The largest number in the set is 98.4.

What is the smallest number in the set?

The smallest number is 45.9 less than 98.4.

98.4 - 45.9 = 52.5

52.5 98.4

Answer

What fraction of the square is shadedred?

Give your answer in lowest terms.

What fraction of the square is shadedred?

Give your answer in lowest terms.

One-eighth

Two-sixteenths = one eighth

Answer

420

ARSENAL

MAN. UTD.

EVERTON

CHELSEA

LIVERPOOL

The chart shows how many children support the top 5 Premiership football teams 2005

15 children supported Arsenal. How many supported Chelsea?

420

ARSENAL

MAN. UTD.

EVERTON

CHELSEA

LIVERPOOL

The chart shows how many children support the top 5 Premiership football teams 2005

15 children supported Arsenal. How many supported Chelsea?

7 children 15 children = 900

1 child = 60

So 420 = 7 childrenAnswer