2006 mathematics paper b

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2009 MATHS PAPER B

Transcript of 2006 mathematics paper b

Page 1: 2006 mathematics paper b

2009 MATHS PAPER B

Page 2: 2006 mathematics paper b

2006 Mathematics Paper B2006 Mathematics Paper BInput your name and press send.Input your name and press send.

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Page 3: 2006 mathematics paper b

2006 mathematics Paper B Q1

35 x ? = 140

What is the missing number?

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Page 4: 2006 mathematics paper b

2006 mathematics Paper B Q1

633 - ? = 34

What is the missing number?

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Page 5: 2006 mathematics paper b

2006 mathematics Paper B Q2a

Draw one line from each calculation on the left to the correct box on the right.One has been done for you. (2 Marks).

Next Page4 0 0 0 5 0

1 1 1 1

4

5 6 + 2 7 + 1 7

8 3 5 – 7 4 5

g r e a t e r t h a n 1 0 0

l e s s t h a n 1 0 0

e q u a l t o 1 0 0

5 6

Is 4 x 5 x 6?

B. Greater than 100

C. Less than 100

D. Equal to 100

Page 6: 2006 mathematics paper b

2006 mathematics Paper B Q2b

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4 0 0 0 5 0

1 1 1 1

4

5 6 + 2 7 + 1 7

8 3 5 – 7 4 5

g r e a t e r t h a n 1 0 0

l e s s t h a n 1 0 0

e q u a l t o 1 0 0

5 6

Is 56 + 27 + 17?

B. Greater than 100

C. Less than 100

D. Equal to 100

Page 7: 2006 mathematics paper b

2006 mathematics Paper B Q2c

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4 0 0 0 5 0

1 1 1 1

4

5 6 + 2 7 + 1 7

8 3 5 – 7 4 5

g r e a t e r t h a n 1 0 0

l e s s t h a n 1 0 0

e q u a l t o 1 0 0

5 6

Is 835 -745?

B. Greater than 100

C. Less than 100

D. Equal to 100

Page 8: 2006 mathematics paper b

2006 mathematics Paper B Q2d

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4 0 0 0 5 0

1 1 1 1

4

5 6 + 2 7 + 1 7

8 3 5 – 7 4 5

g r e a t e r t h a n 1 0 0

l e s s t h a n 1 0 0

e q u a l t o 1 0 0

5 6

Is 4000 ÷ 50?

B. Greater than 100

C. Less than 100

D. Equal to 100

Page 9: 2006 mathematics paper b

2006 mathematics Paper B Q3

Class 6 did a survey of their favourite types of story book. Here are their results.

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1 0

8

6

4

2

0a n i m a l h u m o u r a d v e n t u r e f a n t a s y

T y p e o f b o o k

N u m b e r o fc h i l d r e n

How many more children chose adventure books than fantasy books?

Page 10: 2006 mathematics paper b

2006 mathematics Paper B Q3

Class 6 did a survey of their favourite types of story book. Here are their results.

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1 0

8

6

4

2

0a n i m a l h u m o u r a d v e n t u r e f a n t a s y

T y p e o f b o o k

N u m b e r o fc h i l d r e n

Five girls chose animal books.How many boys chose animal books?

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2006 mathematics Paper B Q4

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1. Each missing digit in this sum is a 9 or a 1Write in the missing digits.

+ + = 2011 mark

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2006 mathematics Paper B Q5

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Here is a baby’s drinking cup.

2 0 0 m l

1 0 0 m l

How many millilitres of water are in the cup?

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2006 mathematics Paper B Q6a

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These are the prices in a shoe shop.

How much more do the boots cost than the trainers?{Answer using the decimal e.g. £2.10}

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2006 mathematics Paper B Q6b

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These are the prices in a shoe shop.

Rosie buys a pair of trainers and a pair of sandals.How much change does she get from £50?

{Answer using the decimal e.g. £2.10}

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2006 mathematics Paper B Q7

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Complete these shapes using the Yes and No buttons. The first one has been done for you.

S h a p e I t i s a q u a d r i l a t e r a l

I t h a s o n eo r m o r e r i g h t a n g l e s

Is this shape a quadrilateral?

Page 16: 2006 mathematics paper b

2006 mathematics Paper B Q7

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Complete these shapes using the Yes and No buttons. The first one has been done for you.

S h a p e I t i s a q u a d r i l a t e r a l

I t h a s o n eo r m o r e r i g h t a n g l e s

Does this shape have one or more right angles?

Page 17: 2006 mathematics paper b

2006 mathematics Paper B Q7

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Complete these shapes using the Yes and No buttons. The first one has been done for you.

S h a p e I t i s a q u a d r i l a t e r a l

I t h a s o n eo r m o r e r i g h t a n g l e s

Is this shape a quadrilateral?

Page 18: 2006 mathematics paper b

2006 mathematics Paper B Q7

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Complete these shapes using the Yes and No buttons. The first one has been done for you.

S h a p e I t i s a q u a d r i l a t e r a l

I t h a s o n eo r m o r e r i g h t a n g l e s

Does this shape have one or more right angles?

Page 19: 2006 mathematics paper b

2006 mathematics Paper B Q7

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Complete these shapes using the Yes and No buttons. The first one has been done for you.

S h a p e I t i s a q u a d r i l a t e r a l

I t h a s o n eo r m o r e r i g h t a n g l e s

Is this shape a quadrilateral?

Page 20: 2006 mathematics paper b

2006 mathematics Paper B Q7

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Complete these shapes using the Yes and No buttons. The first one has been done for you.

S h a p e I t i s a q u a d r i l a t e r a l

I t h a s o n eo r m o r e r i g h t a n g l e s

Does this shape have one or more right angles?

Page 21: 2006 mathematics paper b

2006 mathematics Paper B Q8a

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Forest School sells badges for charity.

For each badge sold, £1.20 is given to a charity.How much does the charity get when 12 badges are sold?

{Answer using the decimal e.g. £2.10}

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2006 mathematics Paper B Q8b

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Forest School sells badges for charity.

If the charity got £24, how many badges were sold?

For each badge sold, £1.20 is given to a charity.

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2006 mathematics Paper B Q9

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A, B, C and D are the vertices of a rectangle.A and B are shown on the grid.

7

6

5

4

3

2

1

1 2 3 4 5 6 7 8 90

y

x

A

B

D is the point ( 3, 4)Write the coordinates of point C.

The first coordinate is?

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2006 mathematics Paper B Q9

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A, B, C and D are the vertices of a rectangle.A and B are shown on the grid.

7

6

5

4

3

2

1

1 2 3 4 5 6 7 8 90

y

x

A

B

D is the point ( 3, 4)Write the coordinates of point C.The second coordinate is?

Page 25: 2006 mathematics paper b

2006 mathematics Paper B Q10a

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Here is a number sentence. + 27 > 85

Which of the numbers below will make the number sentence correct?

30 40 50 60 70

Will this one?

Page 26: 2006 mathematics paper b

2006 mathematics Paper B Q10b

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Here is a number sentence. + 27 > 85

Which of the numbers below will make the number sentence correct?

30 40 50 60 70

Will this one?

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2006 mathematics Paper B Q10c

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Here is a number sentence. + 27 > 85

Which of the numbers below will make the number sentence correct?

30 40 50 60 70

Will this one?

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2006 mathematics Paper B Q10d

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Here is a number sentence. + 27 > 85

Which of the numbers below will make the number sentence correct?

30 40 50 60 70

Will this one?

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2006 mathematics Paper B Q10e

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Here is a number sentence. + 27 > 85

Which of the numbers below will make the number sentence correct?

30 40 50 60 70

Will this one?

Page 30: 2006 mathematics paper b

2006 mathematics Paper B Q11

Next Page Answer Key

Here is a number line.Estimate the number marked by the arrow.

0 1 0 0

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2006 mathematics Paper B Q11

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Here is a number line.Estimate the number marked by the arrow.

0 1 0 0

Answer in the range 65 to 75 inclusive.

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2006 mathematics Paper B Q12

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The numbers in this sequence increase by the same amount each time.What is the first missing number?

1 1 3

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2006 mathematics Paper B Q12

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The numbers in this sequence increase by the same amount each time.What is the second missing number?

1 1 3

Page 34: 2006 mathematics paper b

2006 mathematics Paper B Q13

Next Page Answer Key

Here is a sorting diagram with four sections, A, B, C and D.

  multiple of 10not a

multiple of 10

multiple of 20 A B

not amultiple of 20 C D

Write a number that could go in section C.

Section B can never have any numbers in it.Explain why.

Page 35: 2006 mathematics paper b

2006 mathematics Paper B Q13

Next Page Answer Key

Here is a sorting diagram with four sections, A, B, C and D.

  multiple of 10not a

multiple of 10

multiple of 20 A B

not amultiple of 20 C D

Write a number that could go in section C.

Any odd numbered multiple of 10, ie 10 OR 30 OR 50 OR 70 OR 90 OR 1any number ending with any of the pairs of digits above.

Page 36: 2006 mathematics paper b

2006 mathematics Paper B Q13

Next PageHere is a sorting diagram with four sections, A, B, C and D.

  multiple of 10not a

multiple of 10

multiple of 20 A B

not amultiple of 20 C D

Section B can never have any numbers in it.Explain why.

An explanation which recognises that all multiples of 20 are also multiples 1of 10, eg: U1· ‘Because all the numbers in the 20 times table are also in the 10 times table’· ‘Because all multiples of 20 are multiples of 10’· ‘Because 20 is in the 10 times table’· ‘All multiples of 20 go in box A because 10 goes into them’· ‘20 is a multiple of both 20 and 10, and so is 40, 60, etc’· ‘Because if it’s not a multiple of 10, it can’t be a multiple of 20’· ‘Because if it is a multiple of 20, it has to be a multiple of 10’· ‘Because 10 is a factor of 20’.

Do not accept vague or arbitrary explanations, eg:· ‘Because 40 is a multiple of 10’· ‘Because they would be in box A instead’· ‘Because all the multiples of 10 are multiples of 20’· ‘Because 10 is a multiple of 20’.

Page 37: 2006 mathematics paper b

2006 mathematics Paper B Q14

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Calculate ¾ of £15

Answer {Answer using the decimal e.g. £2.10}

Page 38: 2006 mathematics paper b

2006 mathematics Paper B Q15

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Here is a triangle drawn on a square grid.Draw a rectangle on the grid with the same area as the triangle.

Use a ruler.

Page 39: 2006 mathematics paper b

2006 mathematics Paper B Q16

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Here is a cube.The cube is shaded all the way round so that the top half is grey and the bottom half is blue.

Here is the net of the cube.Complete the shading

Page 40: 2006 mathematics paper b

2006 mathematics Paper B Q16

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Here is a cube.The cube is shaded all the way round so that the top half is grey and the bottom half is blue.

Here is the net of the cube.Complete the shading

WWW

Page 41: 2006 mathematics paper b

2006 mathematics Paper B Q17

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Answer Key

Lin has five blocks which are all the same.She balances them on the scale with two weights.

5 0 0g r a m s

8 0 0g r a m s

Calculate the weight of one block.How many grams would one block weigh?(2 marks).

Page 42: 2006 mathematics paper b

2006 mathematics Paper B Q17

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Lin has five blocks which are all the same.She balances them on the scale with two weights.

5 0 0g r a m s

8 0 0g r a m s

Calculate the weight of one block.How many grams would one block weigh?(2 marks).

Award TWO marks for the correct answer of 60up to 2If the answer is incorrect, award ONE mark for

evidence of appropriate method, eg800 – 500 = 300300 ÷ 5

Answer need not be obtained for the award of ONE mark.

Page 43: 2006 mathematics paper b

2006 mathematics Paper B Q18

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This graph shows the temperature in a greenhouse. Green gr

4 0

3 0

2 0

1 0

01 p m 2 p m 3 p m 4 p m

T e m p e r a t u r ei n C°

T i m e

Use the graph to find the time when the temperature was 25°C.

Page 44: 2006 mathematics paper b

2006 mathematics Paper B Q18

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This graph shows the temperature in a greenhouse. Green gr

4 0

3 0

2 0

1 0

01 p m 2 p m 3 p m 4 p m

T e m p e r a t u r ei n C°

T i m e

What is the difference between the temperature at 2 pm and the temperature at 4 pm?

Page 45: 2006 mathematics paper b

2006 mathematics Paper B Q19

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David and his friends prepare a picnic.Each person at the picnic will get:

3 sandwiches2 bananas1 packet of crisps

The children pack 45 sandwiches.How many bananas do they pack?

(2 Marks).

Page 46: 2006 mathematics paper b

2006 mathematics Paper B Q20

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Write the answer to each of these calculations rounded to the nearest whole number.One has been done for you.

 To the nearestwhole number

75.7 × 59 4466

7734 ÷ 60

772.4 × 9.7

20.34 × (7.9 – 5.4)

What is this to the nearest whole number?

Page 47: 2006 mathematics paper b

2006 mathematics Paper B Q20

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Write the answer to each of these calculations rounded to the nearest whole number.One has been done for you.

 To the nearestwhole number

75.7 × 59 4466

7734 ÷ 60 129772.4 × 9.7

20.34 × (7.9 – 5.4)

What is this to the nearest whole number?

Page 48: 2006 mathematics paper b

2006 mathematics Paper B Q20

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Write the answer to each of these calculations rounded to the nearest whole number.One has been done for you.

 To the nearestwhole number

75.7 × 59 4466

7734 ÷ 60 129772.4 × 9.7 749220.34 × (7.9 – 5.4)

What is this to the nearest whole number?

Page 49: 2006 mathematics paper b

2006 mathematics Paper B Q21

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Here is a pattern on a grid.

What percentage of the grid is shaded?(All squares are equal in size).

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2006 mathematics Paper B Q22

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Here is some flour on a weighing scale.

0 1 2 3

K i l o g r a m s

How many grams of flour are on the scale?

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2006 mathematics Paper B Q23

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A. 29

B. 39

C. 49

D. 59

E. 69

Which are the two prime numbers?

Page 52: 2006 mathematics paper b

2006 mathematics Paper B Q24

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Answers

Here is a triangle on a square grid.The triangle is translated so that point A moves to point B.

Draw the triangle in its new position.Use a ruler.

A

B

Page 53: 2006 mathematics paper b

2006 mathematics Paper B Q24

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Here is a triangle on a square grid.The triangle is translated so that point A moves to point B.

Draw the triangle in its new position.

A

B

Everything has been translated 3 across and one down

Page 54: 2006 mathematics paper b

2006 mathematics Paper B Q25

Answers

Four large circles and five small circles fit exactly inside this rectangle.

?

1 7 . 5c m

The diameter of a large circle is 17.5 centimetres.What is the diameter of a small circle in cm?.

Page 55: 2006 mathematics paper b

2006 mathematics Paper B Q25

End of paper

Four large circles and five small circles fit exactly inside this rectangle.

?

1 7 . 5c m

The diameter of a large circle is 17.5 centimetres.What is the diameter of a small circle in cm?.

4 large circles = 5 small circles

4 large circles = 17.5 * 4 = 48cm

48cm = 5 small circles so…

48cm ÷ 5 = diameter of one small circle = 9.6cm