Number Operations (OCR GCSE Maths: Foundation): Exam Questions

Exam code: J560

1 hour32 questions

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1
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1 mark

Given that 38 cross times 41 equals 1558

Write down the value of 3.8 cross times 41

2
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2 marks

Amir has two coins.
When a coin is thrown it can land on either 'heads' or 'tails'.
Amir throws one coin and then throws the second coin.

Write down all the different ways that the two coins could land.

3
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3 marks

Simone buys:

one book costing £6.99,
one greetings card costing £1.49,
three identical pencils each costing 12p.

Simone pays with a £10 note.

Work out how much change Simone receives.

4a
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1 mark

Edelgard tries to calculate fraction numerator 68 plus 18 over denominator 9 minus 5 end fraction

She types into her calculator 68 plus 18 divided by 9 minus 5.

Explain why this does not give Edelgard the correct answer.

4b
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1 mark

Work out the correct answer to fraction numerator 68 plus 18 over denominator 9 minus 5 end fraction.

5
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1 mark

Work out   48 divided by 3 minus 5 cross times 2

6
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2 marks

Calculate 1.09 space plus space fraction numerator 7.85 over denominator 6.21 minus 4.37 end fraction

Give your answer correct to 1 decimal place.

7
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1 mark

Calculate open parentheses 3 plus 2 close parentheses cross times 6 minus 8

8
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1 mark

Calculate 7 open parentheses 2 cross times 4 close parentheses plus 8 open parentheses 2 plus 6 close parentheses

9a
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1 mark

Work out.

-3 + 8

9b
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1 mark

Work out.

-3 \times -4

10
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2 marks

A box of 12 pencils costs £3.60.

All of the pencils cost the same price.

Work out the cost of one pencil.

1
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1 mark

Given that  297 space cross times space 45 space equals space 13 space 365

Write down the value of  2.97 space cross times space 4.5

2
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2 marks

There are 2 boys (Abel and Ben) and 3 girls (Annabeth, Barbara and Caitlin) in a group.

List the different ways that 1 boy and 1 girl can be chosen from the group.

3
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3 marks

Caoimhe decides to spend her pocket money on 

one toy costing £2.35
two packets of sweets costing 68p each
and four identical marbles

Caoimhe pays with a £5 note and receives 25p in change.

How much does each marble cost?

4
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1 mark

Insert one pair of brackets into this statement to make it correct.

7   ×   5   –   2   +   3   =   42

5
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2 marks

Maya is filling jars with sweets.

Each jar can hold 24 sweets.

Maya has 175 sweets.

Maya says that 7 jars are enough to hold all of the sweets.

Is Maya correct? Show how you decide.

6a
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1 mark

Put one pair of brackets into the calculation to make it correct.

8  +  6  -  2  cross times  5  =  28

6b
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1 mark

Put one pair of brackets into the calculation to make it correct.

8  +  6  -  2  cross times 5  =  60

7a
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1 mark

Work out.

6.42 - 1.85

7b
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1 mark

Work out.

0.7 \times 0.6

7c
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3 marks

Work out \left(1.8 + \dfrac{2}{5}\right) \div 0.4.

Give your answer as a decimal.

8
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1 mark

Insert one pair of brackets to make this statement correct.

4 space space cross times space space 6 space space minus space 2 space space plus space space 1 space space equals space space 17

9
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3 marks

Lila buys 4 books at £6.50 each.

She also buys 2 magazines at £2.95 each.

Lila pays with a £40 note.

Work out how much change Lila gets.

10a
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1 mark

Subtract 123 from 1 million.

10b
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1 mark

Subtract 9 from 2.

11a
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4 marks

A gym offers two types of membership.

  • Standard membership: £35 per month, with no joining fee.

  • Premium membership: £25 per month, plus a £80 joining fee paid only once.

Calculate the total cost of each type of membership over 6 months.

11b
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4 marks

Find the smallest number of complete months for which the total cost of Premium membership is less than the total cost of Standard membership.

12
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5 marks

i) Two numbers are added together to give the number in the box immediately above.

q1bi-058033-mayjune2019-cie-igcse-maths-core

Complete the diagram.

[2]

ii) Two numbers are multiplied together to give the number in the box immediately above.

q1bii-058033-mayjune2019-cie-igcse-maths-core

Complete the diagram.

[3]

13
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1 mark

Insert one pair of brackets to make this statement correct.

3 space space plus space space 2 space space cross times space space 12 space space minus space space 4 space space equals space space 19

1
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6 marks

A lawn is in the shape of a parallelogram.

A parallelogram drawn horizontally with the longer pair of sides at top and bottom. The base is labelled "12 m". The slant side (left or right) is labelled "17 m". A dashed vertical line drops from one of the upper vertices down to the base, with this perpendicular height labelled "15 m". A small right-angle (square) symbol is drawn where the dashed perpendicular meets the base. Floating text top-right says "Not to scale". No other labels.
  • One bag of fertiliser covers 40 \text{ m}^2.

  • Each bag of fertiliser costs £7.50.

You can only buy whole bags of fertiliser.

Work out the total cost of the fertiliser needed to cover the lawn.

You must show your working.

2
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3 marks

Using the information that

  space 3.9 space cross times space 76 space equals space 296.4

find the value of

i)  3.9 space cross times space 760

[1]

ii) 39 space cross times space 0.76

[1]

iii)  2964 space divided by space 7.6

[1]

3
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2 marks

A restaurant has a special offer for a three course menu.

There are 2 options for the starter, 3 possible choices for the main and 2 different desserts.

A person wants to order one starter, one main course and one dessert for their meal. Write down the number of different combinations that the person could choose from the menu.

4a
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3 marks

Nathaniel created a game for his school fair.
The price of one play on the game is 50p or you can have three plays for £1.20.

Roger has £5.90 available to spend on the game. 

How many times can Roger play the game?

4b
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2 marks

The prize for winning a play is 25p.

If Roger wins half of the games that he plays, how much money will he have left after playing?

5a
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1 mark

Put one pair of brackets in each statement to make it correct.

16 space space space divided by space space 8 space space plus space space 4 space space cross times space space 2 space space equals space space 1

5b
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1 mark

16 space space divided by space space 8 space space plus space space 4 space space cross times space space 2 space space equals space space 12

6
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2 marks

Put one pair of brackets into each calculation to make it correct.

i) 24 space space divided by space space 6 space space plus space space 2 space space cross times space 3 space space equals space space 9

[1]

ii) 24 space space divided by space space 6 space space plus space space 2 space space cross times space space 3 space space equals space space 2

[1]

7a
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1 mark

Insert one pair of brackets in the following to make the statement correct.

5 space plus space 3 space cross times space 10 space minus space 1 space equals 32

7b
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1 mark

Insert one pair of brackets in the following to make the statement correct.

3 space cross times space 2 space minus space 4 space minus space 7 space equals space 9

8
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1 mark

Calculate 18 divided by open parentheses 10 minus 4 close parentheses minus 11 cross times 4 plus 9 open parentheses 6 plus 1 close parentheses

9
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3 marks

Jamie has incorrectly tried to calculate: 
3 cross times 2 cubed plus square root of 25 open parentheses 3 squared cross times 2 plus 3 close parentheses

His working is shown below.

3 cross times 2 cubed plus square root of 25 open parentheses 3 squared cross times 2 plus 3 close parentheses
3 cross times 2 cubed plus square root of 25 open parentheses 40 close parentheses
6 cubed plus 5 open parentheses 40 close parentheses
216 plus 200
416

Identify the two mistakes that have been made, and find the correct final answer.