2005 mathematics paper b

2005 MATHS PAPER B

2005 Mathematics Paper B2005 Mathematics Paper BInput your name and press send.Input your name and press send.

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2005 Mathematics Paper B Q12005 Mathematics Paper B Q1

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Write these prices in order from smallest to largest.

A B

C D E


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A.64

B.32

C.16

D.8

E.4

Which three numbers will add up to 100?

2005 Mathematics Paper B Q3

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Here is a shape.

Which of the shapes below is the same as the one above.

AB C

D E

Word file

2005 Mathematics Paper B Q4a2005 Mathematics Paper B Q4a

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These are the prices of coconuts and bananas.

Josh buys one coconut and half a kilogram of bananas.How much does he spend altogether?

{Answer using the decimal}.


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These are the prices of coconuts and bananas.

Josh buys one coconut and half a kilogram of bananas.How much does he spend

altogether?

(a) Award TWO marks for the correct answer of £1.38

If the answer is incorrect, award ONE mark for evidence of appropriate method, eg

78 + ( ½ x 1.20)Accept for ONE mark £138p OR £138 as evidence of an appropriate method.Answer need not be obtained for the award of ONE mark.


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Oranges cost 25p each.

How many oranges can Josh buy for £1.50?

2005 Mathematics Paper B Q2005 Mathematics Paper B Q

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This grid is made of hexagons.Use the pen tool to draw the reflection of the shaded shape on the grid.


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Each missing digit in these calculations is 2, 5 or 7Write in the missing digits.

You may use each digit more than once.

What is this digit?

2005 Mathematics Paper B Q6b2005 Mathematics Paper B Q6b

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You may use each digit more than once.What is this digit?

2005 Mathematics Paper B Q6c2005 Mathematics Paper B Q6c

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You may use each digit more than once.What is this digit?

2005 Mathematics Paper B Q6d2005 Mathematics Paper B Q6d

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What is this digit?

2005 Mathematics Paper B Q6e2005 Mathematics Paper B Q6e

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What is this digit?

2005 Mathematics Paper B Q6f2005 Mathematics Paper B Q6f

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What is this digit?

2005 Mathematics Paper B Q6g2005 Mathematics Paper B Q6g

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What is this digit? Xl FILE


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This table shows information about four solid shapes.Complete the table.

One has been done for you.

number of

flat surfacesnumber ofcurved surfaces

sphere 0 1

cone

cuboid

cylinder

What number should go here?


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number of

flat surfacesnumber of

curved surfaces

sphere 0 1

cone

cuboid

cylinder


2005 Mathematics Paper B Q7c2005 Mathematics Paper B Q7c

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number of


curved surfaces

sphere 0 1

cone

11 11

cuboid

cylinder


2005 Mathematics Paper B Q7d2005 Mathematics Paper B Q7d

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number of


curved surfaces

sphere 0 1

cone

11 11

cuboid

cylinder



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number of


curved surfaces

sphere 0 1

cone

11 11

cuboid

66 00

cylinder



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Answers



number of


curved surfaces

sphere 0 1

cone

cuboid

cylinder



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number of


curved surfaces

sphere 0 1

cone

11 11

cuboid

66 00

cylinder

22 11



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A shop sells different kinds of greeting cards.

This pictogram shows how many they sold in a week.

Estimate how many Birthday cards were sold.


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Answer Key



Estimate how many more Thank You cards than Get Well cards were sold.




Estimate how many more Thank You cards than Get Well cards were sold.

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Estimate how many Birthday cards were sold.

(a) Answer in the range 340 to 360 inclusive.(b) Answer in the range 240 to 260 inclusive.


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Here is part of a number line.What is the missing number?


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First of all work out how much each “mark” is worth on the scale.

The difference between 960 and 980 is 20 and there are…

4 steps in between so 20 divided by 4 = 5

Write in the values on each mark


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First of all work out how much each “mark” is worth on the scale.

The difference between 960 and 980 is 20 and there are…

4 steps in between so 20 divided by 4 = 5

Write in the values on each mark

960-5=955

980+5=985

985+5=990

990+5=995

995+5=1000

1000+5=1005

1005+5=1010


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1. Here is a spinner which is a regular octagon.Write 1, 2 or 3 in each section of the spinner so that

1 and 2 are equally likely to come up and3 is the least likely to come up.



1. Here is a spinner which is a regular octagon.Write 1, 2 or 3 in each section of the spinner

so that1 and 2 are equally likely to come up and

3 is the least likely to come up.

Accept for TWO marks any arrangement using one of the following up to 2sets of eight numbers:

1, 1, 1, 2, 2, 2, 3, 3OR1, 1, 1, 1, 2, 2, 2, 2eg

Numbers may be written in any order.If the answer is incorrect, award ONE mark for an

arrangement such that:· the number of 1s and 2s is equal

OR· the number of 3s is less thanthe number of 2s ANDthe number of 3s is less than the number of 1s.

Do not accept answers that leave sections blank or include numbers other than 1, 2 or 3.


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Josh thinks of a number.

He adds 4He multiplies his result by 3

Then he takes away 9His final answer is 90

What number did Josh start with?


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Josh thinks of a number.

He adds 4He multiplies his result by 3

Then he takes away 9His final answer is 90

What number did Josh start with?

What is happening mathematically?

Unknown number + 4 =

Result1 x 3 =

Result2 – 9 =

90 Working backwards: 90 + 9 = Result2 = 99

Result2 ÷ 3 = 99 ÷ 3 = Result1 = 33

Result1 – 4 = 33 – 4 = 29 XL file


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Here is a 1cm square grid.Some of the grid is shaded.

What is the area that is shaded in cm sq?

Mark of with pen tool


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Sapna and Robbie have some biscuits.Altogether they have 14 biscuits.

Sapna has 2 more biscuits than Robbie.How many biscuits does Sapna have?


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Sapna and Robbie have some biscuits.Altogether they have 14 biscuits.

Sapna has 2 more biscuits than Robbie.How many biscuits does Robbie have?

Click for a solution

SapnaSapna

(R + 2)(R + 2)

RobbieRobbie Total Total biscuitsbiscuits

22 00 22

33 11 44

44 22 66

55 33 88

66 44 1010

77 55 1212

88 66 1414


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1. This pattern is made by turning a shape clockwise through 90° each time.Draw the two missing triangles on the last shape.

Pen toolWord file


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The diagram shows two identical squares.

A is the point (10,10)What are the coordinates of B and C?

Firstly, what is the first value for B?


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Firstly, what is the second value for B?

B = (0,?)


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Firstly, what is the first value for C?

B = (0,10)

C = (?,_)


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Firstly, what is the second value for C?

B = (0,10)

C = (10,?)

Co-ord. PPT


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Choose all the factors of 30 which are also factors of 20

A.1

B.2

C.4

D.5

E.6

F.10


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Choose all the factors of 30 which are also factors of 20

A.1

B.2

C.4

D.5

E.6

F.10

Factors are numbers which share into another number without any remainder e.g. the factors of 6 are:

1 2 3


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17 multiplied by itself gives a 3-digit answer.

What is the smallest 2-digit number that can be multiplied by itself to give a 4-digit answer?

XL file


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All the children at Park School chose their favourite soup.The graph shows the results.

How many more children chose chicken soup than mushroom soup?



All the children at Park School chose their favourite soup.The graph shows the results.

Robbie says,‘More than half of the children chose tomato soup’.Is he correct?Yes or No.Explain how you can tell from the graph.


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Robbie says,‘More than half of the children chose tomato soup’.Is he correct? Yes or No. Explain how you can tell from the graph.

How many more children chose chicken soup than mushroom soup?

(a) Answer in the range 14 to 16 inclusive.

(b) An explanation which recognises that the bar for tomato is shorter than the other two bars added together, eg

· ‘Because there are 300 children altogether and only 135 chose tomato’;· ‘Because 165 is more than 135’;· ‘Because double 135 is 270 and there are more children than that altogether’;· ‘Because half of 300 is 150’;· ‘Because tomato is less than mushroom add chicken’.

No mark is awarded for writing ‘No’ alone.Do not accept vague or arbitrary explanations, eg· ‘Because most of the children chose tomato’;· ‘Because 135 children chose tomato’;· ‘Because 75 + 135 + 90 = 300’.If ‘Yes’ is circled but a correct, unambiguous explanation is given then award the mark.


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Sapna makes a fruit salad using bananas, oranges and apples.For every one banana, she uses 2 oranges and 3 apples.Sapna uses 24 fruits.How many oranges does she use?


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Sapna makes a fruit salad using bananas, oranges and apples.For every one banana, she uses 2 oranges and 3 apples.Sapna uses 24 fruits.How many oranges does she use?

Award TWO marks for the correct answer of 8 up to 2If the answer is incorrect, award ONE mark for

evidence of an appropriate method, eg

1 + 2 + 3 = 624 ÷ 6 = 44 x 2OR6 fruits 2 oranges12 fruits4 oranges18 fruits6 oranges24 fruitswrong answer

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

XL File


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Which two of these numbers, when multiplied together, have the answer closest to 70?

A. 7.4

B. 8.1

C. 9.4

D. 10


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Which two of these numbers, when multiplied together, have the answer closest to 70?

A. 7.4

B. 8.1

C. 9.4

D. 10

7.4 x 9.4 = 69.56


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Here is an isosceles triangle.

Calculate the size of angle x - do not use a protractor (angle measurer).


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Relevant facts:

In all triangles the internal angles add up to?


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Relevant facts:


In an isosceles triangle how many sides are equal to each other?


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Relevant facts:


In an isosceles triangle how many sides are equal to each other?

x = x (shown above)

So internal angles = 180º

180º = 110º + xº + xº

Therefore xº + xº = 70º

xº = 35º

Investigation – are two of the internal angles in an isosceles triangle always equal?

Internet activity


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On Monday all the children at Grange School each play one sport.They choose either hockey or rounders.

There are 103 children altogether in the school.

27 girls choose hockey.Write all this information in the

table.Then complete the table.

hockey rounders Total

boys 22

girls 53

Total

What number goes here?


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boys 22

girls 2727 53

Total



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boys 22

girls 2727 53

Total

103103



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boys 22 5050

girls 2727 53

Total

103103



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boys 22 5050

girls 2727 2626 53

Total

103103



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boys 22 2828 5050

girls 2727 2626 53

Total

103103



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boys 22 2828 5050

girls 2727 2626 53

Total

5454 103103



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boys 22 2828 5050

girls 2727 2626 53

Total

4949 5454 103103

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30% of 60 is


Next page Answer KeyNext page Answer Key

30% of is 60?


Next page – methods of solving 22aNext page – methods of solving 22a

30% of is 60?


30% of 60 is

(a) 18Do not accept 18%(b) 200Do not accept 200%If the answer for 23a is 18% AND the answer for 23b is 200%, awardONE mark only in the 23b box.

Next page – methods of solving 22bNext page – methods of solving 22b


30% of 60 is

(a) 18Do not accept 18% Method 1: use decimal fractions & calculator

30% = 0.30

0.30 x 60 = 18

Method 2: Find 1% and multiply

1% of 60 = 0.6

30 lots of 1% = 30 x 0.6 = 18

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(b) 200Method 1: use decimal fractions & calculator

30% = 0.30

0.30 x ?? = 60 rearrange 0.30 x 60 = ?? = 200

Method 2: Find 1% and multiply

30% = 60 so 10% = 20 and 1% = 2

100 lots of 1% = 2 x 100 = 200

30% of is 60?


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Here is a rectangle with a width of 15.7 centimetres.

The perimeter of this rectangle is 85 centimetres.Calculate the length of the rectangle in cm.

2005 Mathematics Paper B Q242005 Mathematics Paper B Q24Next Page

Here is a rectangle with a width of 15.7 centimetres. The perimeter of this rectangle

is 85 centimetres.Calculate the length of the

rectangle in cm.

Rectangle Facts:

opposite sides are equal;

perimeter = distance all the way round = (width x 2)+(length x 2)

85 cm = (15.7cm + 15.7cm) +(length x 2)

85cm = 31.4cm + (length x 2)

85cm – 31.4cm = length x 2

53.6cm = length x 2 so half of 53,6cm = length = 26.8cm


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A box contains 220 matches and weighs 45 grams.

The empty box weighs 12 grams.Calculate the weight of one match.


End of paper

A box contains 220 matches and weighs 45 grams.

The empty box weighs 12 grams.Calculate the weight of one match.

Total weight = box + matches

Matches = total weight – box

Matches = 45g – 12g = 33g

220 matches = 33g

1 match = 33g ÷220 = 0.15g