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AQA GCSE Maths

Topic questions Number The four operations

The four operations

191 questions · 578 marks · about 11 hours

The four operations questions

AQA 8300 The four operations 191 questions

Paper 1: Non-calculator June 2025 Foundation tier, Question 1 4 marks

(a)

Write down the next number in the sequence

1 4 7 10

[1]
Reveal mark scheme Mark scheme for question 1(a)
(b)

Write down the next number in the sequence

2 4 8 16

[1]
Reveal mark scheme Mark scheme for question 1(b)
(c)

Write down the next number in the sequence

20 14 8 2

[1]
Reveal mark scheme Mark scheme for question 1(c)
(d)

Work out 3 × (– 6)

[1]
Reveal mark scheme Mark scheme for question 1(d)

Paper 1: Non-calculator June 2025 Foundation tier, Question 6 3 marks

Quin buys 200 toys for £4 each. He sells the toys for £5 each.

What is the least number of toys he must sell to make a profit?

[3]
Reveal mark scheme Mark scheme for question 6

Paper 1: Non-calculator June 2025 Foundation tier, Question 7 4 marks

Vinyl records cost £25 each.

Offer Buy one and get another for half price

Arif wants to buy two vinyl records. He saves £8 every Saturday.

(a)

Assume the offer is permanent.

How many Saturdays does Arif need to save for? You must show your working.

[3]
Reveal mark scheme Mark scheme for question 7(a)
(b)

In fact, the offer is only for 1 week and there are no new offers.

What does this mean about the number of Saturdays he needs to save for? Tick one box.

Figure for question 7
[1]
Reveal mark scheme Mark scheme for question 7(b)

Paper 2: Calculator June 2025 Foundation tier, Question 5 2 marks

Jenny walks

• 400 metres to the shop

• 250 metres to the park

• 380 metres home.

Show that Jenny walks more than 1 kilometre.

[2]
Reveal mark scheme Mark scheme for question 5

Paper 2: Calculator June 2025 Foundation tier, Question 22 4 marks

A group of adults and students go to a theme park. Here are the prices.

Adult £24.50 Student £16.25

One adult free with every 5 students

In the group there are 48 students. The total price for the group is £927

How many adults are in the group?

[4]
Reveal mark scheme Mark scheme for question 22

Paper 3: Calculator June 2025 Foundation tier, Question 4 4 marks

Here is a number machine.

Figure for question 4
(a)

Work out the output when the input is 4

[1]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Work out the input when the output is 19

[2]
Reveal mark scheme Mark scheme for question 4(b)
(c)

Complete this number machine.

Figure for question 4
[1]
Reveal mark scheme Mark scheme for question 4(c)

Paper 3: Calculator June 2025 Foundation tier, Question 7 5 marks

A mobile phone company has two different plans.

Figure for question 7
(a)

Show that the total cost of Plan A for 24 months is £764

[2]
Reveal mark scheme Mark scheme for question 7(a)
(b)

During a sale, the total cost of Plan B is reduced by 10%

Which plan is cheaper for 24 months during the sale?

Question 7, shown as an image
Figure for question 7

Show working to support your answer.

[3]
Reveal mark scheme Mark scheme for question 7(b)

Paper 3: Calculator June 2025 Foundation tier, Question 8 3 marks

One burger costs £3.80 Two burgers and three hotdogs cost £15.85

Work out the cost of one hot dog.

[3]
Reveal mark scheme Mark scheme for question 8

Paper 3: Calculator June 2025 Higher tier, Question 16 3 marks

x is a positive even number. y = (x – 3)(x – 5)(x + 6)

Without expanding brackets, explain why there is only one value of x for which y is negative.

[3]
Reveal mark scheme Mark scheme for question 16

Paper 1: Non-calculator November 2024 Foundation tier, Question 6 4 marks

Sally buys two hats and three scarves. The total cost is £28.50 Each hat costs £4.50

Work out the cost of each scarf.

[4]
Reveal mark scheme Mark scheme for question 6

Paper 1: Non-calculator November 2024 Foundation tier, Question 20, also on the Higher paper 3 marks

(a)

Complete this number machine so that y = 4 x + 5

Figure for question 20
[1]
Reveal mark scheme Mark scheme for question 20(a)
(b)

Complete this number machine so that y = 3 x – 24

Figure for question 20
[1]
Reveal mark scheme Mark scheme for question 20(b)
(c)

Complete this number machine so that y = x

Figure for question 20
[1]
Reveal mark scheme Mark scheme for question 20(c)

Paper 1: Non-calculator November 2024 Higher tier, Question 2, also on the Foundation paper 3 marks

(a)

Complete this number machine so that y = 4 x + 5

Figure for question 2
[1]
Reveal mark scheme Mark scheme for question 2(a)
(b)

Complete this number machine so that y = 3 x – 24

Figure for question 2
[1]
Reveal mark scheme Mark scheme for question 2(b)
(c)

Complete this number machine so that y = x

Figure for question 2
[1]
Reveal mark scheme Mark scheme for question 2(c)

Paper 2: Calculator November 2024 Foundation tier, Question 2 3 marks

Here is a price list.

Soap£2.00
Candle£4.55
Lip scrub£1.75
Body cream£3.80
(a)

Work out the cost of three candles.

[1]
Reveal mark scheme Mark scheme for question 2(a)
(b)

Sal has £7.50 He wants to buy one soap and one body cream.

Does he have enough money to also buy one lip scrub? Tick a box.

Figure for question 2

Show working to support your answer.

[2]
Reveal mark scheme Mark scheme for question 2(b)

Paper 2: Calculator November 2024 Foundation tier, Question 7 3 marks

The table shows information about the packs of juice a family has.

Number of packsNumber of cartons in a pack
58
163

The family drinks 4 cartons of juice each day.

In total, how many days will their packs last?

[3]
Reveal mark scheme Mark scheme for question 7

Paper 3: Calculator November 2024 Foundation tier, Question 3 4 marks

Also involves Ratio · Proportion

(a)

3 apples cost 96p

Work out the cost, in pounds (£), of 12 of these apples.

[2]
Reveal mark scheme Mark scheme for question 3(a)
(b)

In total, the cost of 40 cartons of apple juice and 20 cartons of orange juice is £21.50

Work out the cost of

4 cartons of apple juice and 2 cartons of orange juice.

[2]
Reveal mark scheme Mark scheme for question 3(b)

Paper 3: Calculator November 2024 Foundation tier, Question 7 2 marks

Tyler has £20 A notepad costs £1.30

Work out the greatest number of notepads he can buy.

[2]
Reveal mark scheme Mark scheme for question 7

Paper 3: Calculator November 2024 Foundation tier, Question 11 6 marks

Here is a diagram.

Figure for question 11
(a)

Complete this diagram.

Figure for question 11
[1]
Reveal mark scheme Mark scheme for question 11(a)
(b)

Complete this diagram.

Figure for question 11
[2]
Reveal mark scheme Mark scheme for question 11(b)
(c)
Figure for question 11

Work out the value of b.

[3]
Reveal mark scheme Mark scheme for question 11(c)

Paper 1: Non-calculator June 2024 Foundation tier, Question 4 4 marks

(a)

Here is a list of four numbers.

6.92 7.27 7.18 7.14

Use one number from the list to complete each statement.

Question 4, shown as an image
Question 4, shown as an image
[2]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Here is a list of six numbers.

– 10 – 5 – 2 4 6 10

Use two numbers from the list to complete each statement.

Question 4, shown as an image
Question 4, shown as an image
[2]
Reveal mark scheme Mark scheme for question 4(b)

Paper 1: Non-calculator June 2024 Foundation tier, Question 8 4 marks

Apples25p each
Oranges60p each

Salma has £10 to buy apples and oranges. She buys 9 apples and as many oranges as possible.

How many oranges does she buy?

[4]
Reveal mark scheme Mark scheme for question 8

Paper 1: Non-calculator June 2024 Foundation tier, Question 14 4 marks

Here is a multiplication table.

×61636567
613721384339654087
633843396940954221
653965409542254355
674087422143554489

Use the table to answer the following questions.

(a)

Work out 3843 ÷ 63

[1]
Reveal mark scheme Mark scheme for question 14(a)
(b)

Work out 6.1 × 6.7

[1]
Reveal mark scheme Mark scheme for question 14(b)
(c)

Work out 63 × 66

[2]
Reveal mark scheme Mark scheme for question 14(c)

Paper 1: Non-calculator June 2024 Foundation tier, Question 23 3 marks

Each day, Erik drinks fraction of a pint of milk in the morning and fraction of a pint of milk in the afternoon.

How many pints of milk does he drink in 30 days?

[3]
Reveal mark scheme Mark scheme for question 23

Paper 2: Calculator June 2024 Foundation tier, Question 4 2 marks

(a)

One lettuce costs £1.29

How much do seven of these lettuces cost?

[1]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Five cucumbers cost £6.40 in total.

How much do two of these cucumbers cost?

[1]
Reveal mark scheme Mark scheme for question 4(b)

Paper 2: Calculator June 2024 Foundation tier, Question 5 5 marks

A company sells three types of bottle. The pictogram shows how many bottles they sold one week.

Figure for question 5
(a)

The company sold more plastic bottles than glass bottles that week.

How many more?

[2]
Reveal mark scheme Mark scheme for question 5(a)
(b)

The company sells each steel bottle for £17.50

Work out the total amount of money made from selling steel bottles that week.

[3]
Reveal mark scheme Mark scheme for question 5(b)

Paper 2: Calculator June 2024 Foundation tier, Question 8 5 marks

There are 56 cubes in a box. The cubes are green, red, blue or white. 17 cubes are green. There are an equal number of red, blue and white cubes.

(a)

How many red cubes are in the box?

[2]
Reveal mark scheme Mark scheme for question 8(a)
(b)

24 more cubes are added to the box. A cube is picked at random. The probability that the cube is green is 0.4

How many of the 24 cubes added to the box are green?

[3]
Reveal mark scheme Mark scheme for question 8(b)

Paper 2: Calculator June 2024 Foundation tier, Question 10 6 marks

(a)

Leema buys 2 metres of linen at £8.50 per metre. She also buys 5 metres of cotton. The total cost is £38

What is the cost of one metre of cotton?

[4]
Reveal mark scheme Mark scheme for question 10(a)
(b)

Buttons cost 65p each. The greatest number of buttons Leema can buy with £5 is 7 She says, “The greatest number of buttons I can buy with £10 is 14 because £10 is double £5”

Figure for question 10

Show working to support your answer.

[2]
Reveal mark scheme Mark scheme for question 10(b)

Paper 3: Calculator June 2024 Foundation tier, Question 7 4 marks

(a)

Here is a number machine.

Figure for question 7

Complete the number machine.

[1]
Reveal mark scheme Mark scheme for question 7(a)
(b)

Here is a different number machine.

Figure for question 7

Complete the number machine.

[1]
Reveal mark scheme Mark scheme for question 7(b)
(c)

Here is a different number machine.

Figure for question 7

When x = 5 y = 13 and when x = 10 y = 28

Complete the number machine.

[2]
Reveal mark scheme Mark scheme for question 7(c)

Paper 3: Calculator June 2024 Foundation tier, Question 16 5 marks

Tins of beans are sold in shop A and shop B.

Figure for question 16

10% reduction in price on all packs

At which shop is it cheaper to buy 20 tins? State how much cheaper.

[5]
Reveal mark scheme Mark scheme for question 16

Paper 1: Non-calculator November 2023 Foundation tier, Question 9 3 marks

Put the whole numbers 1 to 12 into the boxes to make the calculations correct. Only use each number once.

Figure for question 9 Figure for question 9 Figure for question 9 Figure for question 9
[3]
Reveal mark scheme Mark scheme for question 9

Paper 1: Non-calculator November 2023 Foundation tier, Question 11 5 marks

Last week, Erik worked for 10 hours. He paid no tax and received £90

(a)

This week, Erik works for 15 hours. He assumes he will be paid at the same rate and pay no tax.

How much does he expect to receive this week?

[3]
Reveal mark scheme Mark scheme for question 11(a)
(b)

In fact, this week, Erik is paid an extra 50p per hour pays £8.90 tax.

What does this tell you about the amount he receives? Tick one box.

Figure for question 11

Show working to support your answer.

[2]
Reveal mark scheme Mark scheme for question 11(b)

Paper 1: Non-calculator November 2023 Foundation tier, Question 24, also on the Higher paper 4 marks

A music company releases 10 albums.

The scatter graph shows, for each album, the number of downloads on the first day and the number of CDs sold on the first day. A line of best fit has been drawn on the scatter graph.

Figure for question 24
(a)

The scatter graph shows positive correlation.

Describe the relationship between number of downloads and number of CDs sold.

[1]
Reveal mark scheme Mark scheme for question 24(a)
(b)

The company earns £2.50 for each download and £3 for each CD sold. The company releases another album. On the first day it has 9000 downloads.

Estimate the total amount the company earns from downloads and CDs of the album that day.

[3]
Reveal mark scheme Mark scheme for question 24(b)

Paper 1: Non-calculator November 2023 Higher tier, Question 6, also on the Foundation paper 4 marks

A music company releases 10 albums.

The scatter graph shows, for each album, the number of downloads on the first day and the number of CDs sold on the first day. A line of best fit has been drawn on the scatter graph.

Figure for question 6
(a)

The scatter graph shows positive correlation.

Describe the relationship between number of downloads and number of CDs sold.

[1]
Reveal mark scheme Mark scheme for question 6(a)
(b)

The company earns £2.50 for each download and £3 for each CD sold. The company releases another album. On the first day it has 9000 downloads.

Estimate the total amount the company earns from downloads and CDs of the album that day.

[3]
Reveal mark scheme Mark scheme for question 6(b)

Paper 2: Calculator November 2023 Foundation tier, Question 6 3 marks

Also involves Personal finance

Complete the bank statement.

DateDescriptionCredit (£)Debit (£)Balance (£)
01/11/2021Starting balance736.28
05/11/2021Rent450.00
14/11/2021Refund25.00
27/11/2021Wages1830.29
[3]
Reveal mark scheme Mark scheme for question 6

Paper 2: Calculator November 2023 Foundation tier, Question 14 5 marks

A golf club is organising a trip for 42 people. The costs are shown in the table.

Figure for question 14

Each minibus can hold 15 people.

Each person will play 2 games of golf.

The cost of the trip will be shared equally by the 42 people.

Work out the cost per person.

[5]
Reveal mark scheme Mark scheme for question 14

Paper 2: Calculator November 2023 Foundation tier, Question 23, also on the Higher paper 5 marks

Three shops sell the same type and size of lip balm stick.

Figure for question 23

Which shop is the best value for 8 sticks and what is the total cost in that shop? Show working to support your answer.

Question 23, shown as an image
[5]
Reveal mark scheme Mark scheme for question 23

Paper 2: Calculator November 2023 Higher tier, Question 5, also on the Foundation paper 5 marks

Three shops sell the same type and size of lip balm stick.

Figure for question 5

Which shop is the best value for 8 sticks and what is the total cost in that shop? Show working to support your answer.

Question 5, shown as an image
[5]
Reveal mark scheme Mark scheme for question 5

Paper 3: Calculator November 2023 Foundation tier, Question 10 4 marks

Sanjit buys 1.75 kg of potatoes and 4 kg of leeks. The total cost is £9.03 The potatoes cost 84p per kg

Work out the cost per kg of the leeks.

Answer £ per kg

[4]
Reveal mark scheme Mark scheme for question 10

Paper 1: Non-calculator June 2023 Foundation tier, Question 1 4 marks

Here is a list of numbers. 14 9 20 29 3 45 33

(a)

Which number in the list is a multiple of 4 ?

[1]
Reveal mark scheme Mark scheme for question 1(a)
(b)

Which number in the list is a square number?

[1]
Reveal mark scheme Mark scheme for question 1(b)
(c)

Which two numbers in the list have a total of 43 ?

[1]
Reveal mark scheme Mark scheme for question 1(c)
(d)

Work out largest number in the list ÷ smallest number in the list

[1]
Reveal mark scheme Mark scheme for question 1(d)

Paper 1: Non-calculator June 2023 Foundation tier, Question 3 4 marks

(a)

Work out (– 4) × (– 3)

[1]
Reveal mark scheme Mark scheme for question 3(a)
(b)

Work out 6 × (– 5)

[1]
Reveal mark scheme Mark scheme for question 3(b)
(c)

Work out (–8)2

[1]
Reveal mark scheme Mark scheme for question 3(c)
(d)

Work out 103

[1]
Reveal mark scheme Mark scheme for question 3(d)

Paper 1: Non-calculator June 2023 Foundation tier, Question 5 4 marks

At a shop the normal price of one pen is 24p the normal price of one calculator is £7 The shop has these special offers.

Figure for question 5

Work out the total price of 5 pens and 1 calculator using the special offers.

[4]
Reveal mark scheme Mark scheme for question 5

Paper 1: Non-calculator June 2023 Foundation tier, Question 10 3 marks

Here are two calculations, A and B.

A8 × 3 + 2
B21 – (15 – 4)

Work out answer to A × answer to B

[3]
Reveal mark scheme Mark scheme for question 10

Paper 1: Non-calculator June 2023 Higher tier, Question 1 3 marks

(a)

Work out 0.7 × 0.5

[1]
Reveal mark scheme Mark scheme for question 1(a)
(b)
Question 1, shown as an image
[1]
Reveal mark scheme Mark scheme for question 1(b)
(c)

Work out 27 ÷ 0.6

[1]
Reveal mark scheme Mark scheme for question 1(c)

Paper 2: Calculator June 2023 Foundation tier, Question 5 6 marks

(a)

A shop sells bottles of orange juice. Each bottle costs 75p Work out the greatest number of bottles that can be bought with £5

[2]
Reveal mark scheme Mark scheme for question 5(a)
(b)

Two shops sell bottles of apple juice.

Figure for question 5

At which shop is it cheaper to buy 24 bottles? Show working to support your answer.

[4]
Reveal mark scheme Mark scheme for question 5(b)

Paper 2: Calculator June 2023 Foundation tier, Question 9 5 marks

(a)

The cost of a TV streaming service is £6 per month for the first 4 months then £11 per month for the rest of the year. Work out the total cost for the year.

[2]
Reveal mark scheme Mark scheme for question 9(a)
(b)

A TV series has ten episodes. Nine episodes are each 50 minutes long. One episode is 1 hour 42 minutes long. Work out the total length of the series. Give your answer in hours and minutes.

Question 9, shown as an image
[3]
Reveal mark scheme Mark scheme for question 9(b)

Paper 2: Calculator June 2023 Foundation tier, Question 11 4 marks

Here is a Venn diagram. ξ = 60 people H = people who own a gaming headset W = people who own a smart watch

Figure for question 11
(a)

15 of the people own a smart watch. Complete the Venn diagram.

[2]
Reveal mark scheme Mark scheme for question 11(a)
(b)

One of the 60 people is chosen at random. What is the probability that they own both a gaming headset and a smart watch?

[1]
Reveal mark scheme Mark scheme for question 11(b)
(c)

Marek is going to buy a gaming headset that costs £35 He already has £19 He plans to save the rest in two equal amounts over the next two weeks. He uses this method to work out in pounds how much to save each week.

Figure for question 11

What is wrong with his method?

[1]
Reveal mark scheme Mark scheme for question 11(c)

Paper 3: Calculator June 2023 Foundation tier, Question 5 4 marks

(a)

The term-to-term rule for a sequence is subtract 1 then multiply by 5 The 1st term is 4 Work out the 3rd term.

[2]
Reveal mark scheme Mark scheme for question 5(a)
(b)

The term-to-term rule for a different sequence is add 20 then divide by 2 The 2nd term is 50 Work out the 1st term.

[2]
Reveal mark scheme Mark scheme for question 5(b)

Paper 3: Calculator June 2023 Foundation tier, Question 7 4 marks

This week, Liam works 25 hours at £10.20 per hour and extra hours at the weekend at £11.80 per hour. Here are the extra hours he works at the weekend.

Figure for question 7

In total, how much is he paid this week?

[4]
Reveal mark scheme Mark scheme for question 7

Paper 3: Calculator June 2023 Foundation tier, Question 12 4 marks

(a)

c maths symbol 4 d maths symbol 4 c – d = 6 Work out a possible pair of values for c and d.

Question 12, shown as an image
[2]
Reveal mark scheme Mark scheme for question 12(a)
(b)

w is greater than 1 and less than 2 x is greater than 0 and less than 1

Figure for question 12

Work out a possible pair of values for w and x.

Question 12, shown as an image
[2]
Reveal mark scheme Mark scheme for question 12(b)

Paper 3: Calculator June 2023 Foundation tier, Question 15 4 marks

Popcorn is sold in bags. 8 small bags have a total mass of 496 g 5 small bags and 2 large bags have a total mass of 638 g Work out the mass of a large bag.

[4]
Reveal mark scheme Mark scheme for question 15

Paper 1: Non-calculator November 2022 Foundation tier, Question 10 2 marks

Here is a calculation.

Figure for question 10

Use the calculation to help answer the following questions.

(a)

Write down the answer to 12 840 ÷ 428

[1]
Reveal mark scheme Mark scheme for question 10(a)
(b)

Circle the answer to 214 × 30

1284 3210 6420 25 680

[1]
Reveal mark scheme Mark scheme for question 10(b)

Paper 1: Non-calculator November 2022 Foundation tier, Question 11 8 marks

A shop sells notebooks and pencils.

Figure for question 11
(a)

Marek buys some packs of notebooks. The cost is £60 In total, how many notebooks does he buy?

[2]
Reveal mark scheme Mark scheme for question 11(a)
(b)

Work out the cheapest cost of 10 pencils.

[3]
Reveal mark scheme Mark scheme for question 11(b)
(c)

The shop also sells folders for £3.20 each. The shop has this offer.

Figure for question 11

Work out the cost of 4 folders using the offer.

[3]
Reveal mark scheme Mark scheme for question 11(c)

Paper 2: Calculator November 2022 Foundation tier, Question 6 4 marks

(a)

Write a number in the box to make the calculation correct.

Figure for question 6
[1]
Reveal mark scheme Mark scheme for question 6(a)
(b)

Write a number in the box to make the calculation correct.

Figure for question 6
[1]
Reveal mark scheme Mark scheme for question 6(b)
(c)

Write a fraction in the box to make the calculation correct.

Figure for question 6
[1]
Reveal mark scheme Mark scheme for question 6(c)
(d)

Write the same number in both boxes to make the calculation correct.

Figure for question 6
[1]
Reveal mark scheme Mark scheme for question 6(d)

Paper 2: Calculator November 2022 Foundation tier, Question 9 4 marks

Hamish has saved 295 coins. Each one is a 20p coin. He gives an equal number of 20p coins to each of his 8 grandchildren. He gives them as many coins as possible. How much, in £, does he have left?

[4]
Reveal mark scheme Mark scheme for question 9

Paper 2: Calculator November 2022 Foundation tier, Question 10 2 marks

Here are two sets of numbers. Set A 2 12 13 27 Set B 1 15 16 30 One number from Set A is swapped with one number from Set B. The total of the numbers in each set is now the same. Which two numbers are swapped?

[2]
Reveal mark scheme Mark scheme for question 10

Paper 2: Calculator November 2022 Foundation tier, Question 14 5 marks

To travel to a festival, a group of people will hire a minibus. This formula has all costs in £

Question 14, shown as an image
(a)

With 12 people in the group, the cost of the minibus will be £567 Work out the cost per person.

[2]
Reveal mark scheme Mark scheme for question 14(a)
(b)

With 15 people in the group, they will hire a different minibus. The cost per person will be £50 Work out the cost of this minibus.

[3]
Reveal mark scheme Mark scheme for question 14(b)

Paper 2: Calculator November 2022 Foundation tier, Question 18 6 marks

A football team plays two matches.

(a)

For the first match, 40 000 tickets are sold. Assume that each ticket costs £38.50 Work out the total amount of money from ticket sales for this match.

[2]
Reveal mark scheme Mark scheme for question 18(a)
(b)

In fact, for the first match, some of the tickets cost less than £38.50 and some of the tickets cost more than £38.50 What does this mean about the total amount of money from ticket sales for this match? Tick one box.

Figure for question 18
[1]
Reveal mark scheme Mark scheme for question 18(b)
(c)

For the second match, the number of tickets sold increases from 40 000 to 55 000 Is the increase in tickets sold more than 35% ? You must show your working.

[3]
Reveal mark scheme Mark scheme for question 18(c)

Paper 3: Calculator November 2022 Foundation tier, Question 10 3 marks

Also involves Disproof by counter example

(a)
Figure for question 10

Give one example to show that this is correct.

[1]
Reveal mark scheme Mark scheme for question 10(a)
(b)
Figure for question 10

Give one example to show that this is correct.

[1]
Reveal mark scheme Mark scheme for question 10(b)
(c)
Figure for question 10

Give one example to show that this is not correct.

[1]
Reveal mark scheme Mark scheme for question 10(c)

Paper 3: Calculator November 2022 Foundation tier, Question 18 4 marks

11 identical full tins of red paint hold a total of 3630 ml All the paint from 4 of these tins is poured into an empty bucket. The bucket can hold 2500 ml Tins of white paint each hold 140 ml Can all the white paint from 9 tins be added to the bucket? You must show your working.

[4]
Reveal mark scheme Mark scheme for question 18

Paper 1: Non-calculator June 2022 Foundation tier, Question 1 3 marks

(a)

Circle the answer to 150 ÷ 5

3 30 300 3000

[1]
Reveal mark scheme Mark scheme for question 1(a)
(b)

Circle the answer to 5 – 7

– 12 – 2 2 12

[1]
Reveal mark scheme Mark scheme for question 1(b)
(c)

Circle the answer to – 3 × 3

– 9 – 6 6 9

[1]
Reveal mark scheme Mark scheme for question 1(c)

Paper 1: Non-calculator June 2022 Foundation tier, Question 6 4 marks

(a)

Which statement is correct? Tick one box.

Figure for question 6

Show working to support your answer.

[2]
Reveal mark scheme Mark scheme for question 6(a)
(b)

Work out 60 ÷ 2 + 4

[2]
Reveal mark scheme Mark scheme for question 6(b)

Paper 1: Non-calculator June 2022 Foundation tier, Question 7 4 marks

Cost of 100 grams
Cereal49p
Pasta14p

Leah buys 400 grams of cereal and 250 grams of pasta. Work out the total cost in £

[4]
Reveal mark scheme Mark scheme for question 7

Paper 1: Non-calculator June 2022 Foundation tier, Question 11 5 marks

Companies A and B sell insurance for mobile phones. The table shows the monthly costs for two types of cover, Damage and Loss.

CompanyDamageLoss
A£8.65£12.20
B£7.25£14.10
(a)

Work out the difference in monthly cost for the two types of cover with Company A.

[2]
Reveal mark scheme Mark scheme for question 11(a)
(b)

Ben wants Damage cover with Company B. How much in total will he pay for one year ?

[3]
Reveal mark scheme Mark scheme for question 11(b)

Paper 1: Non-calculator June 2022 Higher tier, Question 6 4 marks

Also involves Indices

(a)
Question 6, shown as an image

Give your answer as a whole number.

[2]
Reveal mark scheme Mark scheme for question 6(a)
(b)

Simplify 8 × 26 × 24 Give your answer as a power of 2

[2]
Reveal mark scheme Mark scheme for question 6(b)

Paper 1: Non-calculator June 2022 Higher tier, Question 9 2 marks

(a)

In each box, write a fraction less than 1 to make a correct calculation.

Figure for question 9
[1]
Reveal mark scheme Mark scheme for question 9(a)
(b)

In each box, write a decimal less than 1 to make a correct calculation.

Figure for question 9
[1]
Reveal mark scheme Mark scheme for question 9(b)

Paper 2: Calculator June 2022 Foundation tier, Question 9 4 marks

Also involves Standard units and compound measures

(a)

Ali revises each day for five days. On each of the first four days he revises from 5 pm to 8 pm On the fifth day he starts revising at 1 pm He finishes when he has revised for a total of 18 hours for the five days. What time does he finish on the fifth day?

[3]
Reveal mark scheme Mark scheme for question 9(a)
(b)

Sofia is revising for Maths. She tries to work out 3 × (4 + 2) Here is her working.

Figure for question 9

What mistake has she made?

[1]
Reveal mark scheme Mark scheme for question 9(b)

Paper 2: Calculator June 2022 Foundation tier, Question 13 4 marks

Steve and Molly each buy 480 tea bags.

Figure for question 13

Steve buys only small packs. Molly buys only large packs. In total, how much more than Molly does Steve pay?

[4]
Reveal mark scheme Mark scheme for question 13

Paper 2: Calculator June 2022 Foundation tier, Question 14 3 marks

Match each expression on the left with one on the right. One has been done for you.

Figure for question 14
[3]
Reveal mark scheme Mark scheme for question 14

Paper 1: Non-calculator November 2021 Foundation tier, Question 8 4 marks

A travel company is taking some passengers on a trip. They can use coaches or minibuses. Each coach can carry 53 passengers. Each minibus can carry 12 passengers. The passengers going on the trip would exactly fill 3 coaches. If the company uses only minibuses, how many will they need?

[4]
Reveal mark scheme Mark scheme for question 8

Paper 1: Non-calculator November 2021 Foundation tier, Question 15 4 marks

Here is a calculation.

Figure for question 15

You can use the calculation to help answer the following questions.

(a)

Work out 2604 ÷ 84

[1]
Reveal mark scheme Mark scheme for question 15(a)
(b)

Work out 3.1 × 8.4

[1]
Reveal mark scheme Mark scheme for question 15(b)
(c)

Work out 31 × 85

[2]
Reveal mark scheme Mark scheme for question 15(c)

Paper 3: Calculator November 2021 Foundation tier, Question 5 3 marks

Complete the bank statement.

DateDescriptionCredit (£)Debit (£)Balance (£)
01/05/2020Starting balance670.43
08/05/2020Salary2156.75
11/05/2020Water bill48.97
18/05/2020Mortgage payment1642.49
[3]
Reveal mark scheme Mark scheme for question 5

Paper 3: Calculator November 2021 Foundation tier, Question 9 2 marks

School A has 72 tutor groups. Each group has 28 students. School B has 16 tutor groups. Each group has 18 students.

Question 9, shown as an image
[2]
Reveal mark scheme Mark scheme for question 9

Paper 1: Non-calculator November 2020 Foundation tier, Question 9 3 marks

Harry will pay income tax if he earns more than £12 500 in a year. After 8 months he has earned a total of £7600 For the rest of the year he earns £1200 each month. Will he pay income tax? You must show your working.

[3]
Reveal mark scheme Mark scheme for question 9

Paper 1: Non-calculator November 2020 Foundation tier, Question 11 3 marks

(a)

Circle the answer to 50 × 0.2

1 10 100 1000

[1]
Reveal mark scheme Mark scheme for question 11(a)
(b)

Work out 3.65 ÷ 5 Give your answer as a decimal.

[2]
Reveal mark scheme Mark scheme for question 11(b)

Paper 2: Calculator November 2020 Foundation tier, Question 11 2 marks

Here are two calculations.

Figure for question 11

Which calculation has the smaller answer? You must show the answer to each calculation.

[2]
Reveal mark scheme Mark scheme for question 11

Paper 2: Calculator November 2020 Foundation tier, Question 18 4 marks

Kim buys pet food in 1.5 kg packs. Her pet needs 0.8 kg of food each week. She wants to have enough food for the next 14 weeks. She already has two 1.5 kg packs. Work out the smallest number of packs she needs to buy. You must show your working.

[4]
Reveal mark scheme Mark scheme for question 18

Paper 3: Calculator November 2020 Foundation tier, Question 5 3 marks

Here are three number cards.

Figure for question 5
(a)

Use all three cards to make the answer to this calculation a multiple of 10

Figure for question 5
[1]
Reveal mark scheme Mark scheme for question 5(a)
(b)

Use all three cards to make the answer to this calculation a single-digit number.

Figure for question 5
[1]
Reveal mark scheme Mark scheme for question 5(b)
(c)

Use all three cards to make this a correct calculation.

Figure for question 5
[1]
Reveal mark scheme Mark scheme for question 5(c)

Paper 3: Calculator November 2020 Foundation tier, Question 13 3 marks

Milly has an equal number of 20p coins and 50p coins. The value of her 20p coins is £2.80 Work out the total value of her 20p and 50p coins.

[3]
Reveal mark scheme Mark scheme for question 13

Paper 3: Calculator November 2020 Foundation tier, Question 14 7 marks

Here are ticket prices for a theme park.

Single tickets Adult £48 Child £26 Special offer tickets 1 adult and 2 children £82 2 adults and 2 children £120

(a)

Freya buys tickets for 3 adults and 4 children. She pays the cheapest possible total cost. How much does she save compared to buying all single tickets?

[4]
Reveal mark scheme Mark scheme for question 14(a)
(b)

Leroy buys 5 single adult tickets. He uses a voucher that reduces the price of tickets by a quarter. In total, how much does he pay?

[3]
Reveal mark scheme Mark scheme for question 14(b)

Paper 1: Non-calculator November 2019 Foundation tier, Question 8 4 marks

Here are four number cards.

Figure for question 8
(a)

Choose two of the cards to make the answer to this calculation a whole number. Include the answer to the calculation.

Figure for question 8
[2]
Reveal mark scheme Mark scheme for question 8(a)
(b)

Choose two of the cards to make the answer to this calculation as large as possible. Include the answer to the calculation.

Figure for question 8
[2]
Reveal mark scheme Mark scheme for question 8(b)

Paper 1: Non-calculator November 2019 Foundation tier, Question 9 2 marks

Figure for question 9

Jenny buys 5 rulers and 2 pens. She works out how much she should pay.

Figure for question 9

Jenny’s total is wrong. What mistake has she made? Include the correct total in your answer.

[2]
Reveal mark scheme Mark scheme for question 9

Paper 2: Calculator November 2019 Foundation tier, Question 6 3 marks

A shop has this offer.

£5 reduction if you spend more than £100 or £10 reduction if you spend more than £150 or £20 reduction if you spend more than £200

At the shop, dresses cost £42 each. Amira buys 3 dresses. Bobbi buys 5 dresses. How much more than Amira does Bobbi pay?

[3]
Reveal mark scheme Mark scheme for question 6

Paper 1: Non-calculator June 2019 Foundation tier, Question 10 6 marks

Coaches take people to a festival. Each coach can take 50 people.

(a)

From one city there are 820 people. How many coaches are needed?

[3]
Reveal mark scheme Mark scheme for question 10(a)
(b)

From a different city 13 coaches are needed. Each coach costs £450 to hire. Work out the total cost of hiring 13 coaches.

[3]
Reveal mark scheme Mark scheme for question 10(b)

Paper 1: Non-calculator June 2019 Foundation tier, Question 24 2 marks

Also involves Rearranging formulae

(a)

a + b = 0 Which of these is equal to b ? Circle your answer.

Question 24, shown as an image
[1]
Reveal mark scheme Mark scheme for question 24(a)
(b)

c × d = 1 Which of these is equal to d ? Circle your answer.

Question 24, shown as an image
[1]
Reveal mark scheme Mark scheme for question 24(b)

Paper 3: Calculator June 2019 Foundation tier, Question 6 5 marks

Josh downloads album A. A has 11 tracks. Each track on A costs the same. The total cost of downloading A is £8.80

Josh also downloads album B. B has 14 tracks.

(a)

Work out the total cost of downloading B. Assume each track costs the same as a track on A.

[3]
Reveal mark scheme Mark scheme for question 6(a)
(b)

In fact, compared to the cost of each track on A the cost of 6 tracks on B is more by 5p each the cost of 8 tracks on B is less by 5p each.

What does this tell you about your answer to part (a)? Tick one box.

Figure for question 6

Give a reason for your decision.

[2]
Reveal mark scheme Mark scheme for question 6(b)

Paper 3: Calculator June 2019 Foundation tier, Question 8 3 marks

Four positive whole numbers add up to 84 One of the numbers is a multiple of 17 The other three numbers are equal.

What are the four numbers?

[3]
Reveal mark scheme Mark scheme for question 8

Paper 3: Calculator June 2019 Foundation tier, Question 9 4 marks

Jim wants to buy 10 rolls of wallpaper. He sees these prices.

Figure for question 9

What is the cheapest price for 10 rolls?

[4]
Reveal mark scheme Mark scheme for question 9

Paper 3: Calculator June 2019 Foundation tier, Question 22 3 marks

Here is a formula.

Question 22, shown as an image
(a)

Work out T when n = 5

[1]
Reveal mark scheme Mark scheme for question 22(a)
(b)

Why is T always positive when n is negative?

[2]
Reveal mark scheme Mark scheme for question 22(b)

Paper 2: Calculator November 2018 Foundation tier, Question 6 4 marks

(a)

Complete the bank statement.

Figure for question 6
[3]
Reveal mark scheme Mark scheme for question 6(a)
(b)

Write down the meaning of ‘Debit’ as used in the bank statement.

[1]
Reveal mark scheme Mark scheme for question 6(b)

Paper 3: Calculator November 2018 Foundation tier, Question 7 3 marks

Here are two groups of numbers, A and B.

Figure for question 7

One number is moved from A to B. The sum of the numbers in B is now 20 more than the sum of the numbers in A. Which number is moved? You must show your working.

[3]
Reveal mark scheme Mark scheme for question 7

Paper 3: Calculator November 2018 Foundation tier, Question 8 5 marks

Also involves Forming and solving equations

Beth sells hot dogs at a market. Each hot dog is a sausage in a bread roll.

Figure for question 8

The table shows her costs.

Fee paid to market£240
Bread rolls42p per pack of 6
Sausages£2.50 per jar of 10
Other costs£57

Beth sells the hot dogs for £3 each. She sells 300 hot dogs. Work out her total profit.

[5]
Reveal mark scheme Mark scheme for question 8

Paper 1: Non-calculator June 2018 Foundation tier, Question 11 6 marks

300 passengers go on a coach trip. Each coach takes 50 passengers. Each passenger pays £25 The table shows the costs for the coach company.

Cost for each coach
Pay for driver£90
Fuel70p per mile

Each coach travels 200 miles. Work out the total profit the company makes from this trip.

[6]
Reveal mark scheme Mark scheme for question 11

Paper 3: Calculator June 2018 Foundation tier, Question 6 3 marks

Saj wants to go to all 19 home games at a football club. For each game, a ticket costs £28 A season ticket costs £379 and gives entry to all 19 home games. In total, how much does Saj save by buying a season ticket?

[3]
Reveal mark scheme Mark scheme for question 6

Paper 3: Calculator June 2018 Foundation tier, Question 12 6 marks

Also involves Fractions, decimals and percentages

A takeaway sells 10-inch pizzas and 12-inch pizzas. Here is some information about the numbers sold in two weeks.

Question 12, shown as an image
Figure for question 12
(a)

In each week a proportion of the pizzas sold were 10-inch. In which week was this proportion greater? Show working to support your answer.

[2]
Reveal mark scheme Mark scheme for question 12(a)
(b)

The table shows the profit or loss the takeaway makes on each pizza.

Normal price Offer price
10-inch£3.74 profit 51p loss
12-inch£5.29 profit 4p loss

In week 1 the total profit was £1895.55 At the end of week 1 the takeaway spent £175 on adverts. Was the increase in profit in week 2 more than the cost of the adverts? You must show your working.

[4]
Reveal mark scheme Mark scheme for question 12(b)

Paper 3: Calculator June 2018 Foundation tier, Question 18 1 mark

A competition took place in 1983 takes place every six years. Circle the year in which it will also take place.

2083 2036 2049 2023

[1]
Reveal mark scheme Mark scheme for question 18

Paper 1: Non-calculator November 2017 Foundation tier, Question 8 3 marks

A library book was due to be returned on 27 September. It was actually returned on 14 October. There is a fine of 8p for every day the book is late. Work out the total fine.

[3]
Reveal mark scheme Mark scheme for question 8

Paper 1: Non-calculator November 2017 Foundation tier, Question 16 3 marks

Complete the grid so that when you multiply the three numbers in any column, row or diagonal the answer is 1

Figure for question 16
[3]
Reveal mark scheme Mark scheme for question 16

Paper 2: Calculator November 2017 Foundation tier, Question 8 4 marks

A dry cleaning shop has the following offers.

Figure for question 8

Work out the total price for 2 suits and 6 dresses.

[4]
Reveal mark scheme Mark scheme for question 8

Paper 3: Calculator November 2017 Foundation tier, Question 16 5 marks

A train has 1 first-class carriage and 6 standard carriages. The first-class carriage has 64 seats.

Question 16, shown as an image

Each standard carriage has 78 seats. fraction in each carriage are being used. Are more than half the seats on the train being used? You must show your working.

[5]
Reveal mark scheme Mark scheme for question 16

Paper 1: Non-calculator June 2017 Foundation tier, Question 8 6 marks

Nadia has £5 to buy pencils and rulers.

Prices
Pencils8p each
Rulers30p each

She says, “I will buy 15 pencils. Then I will buy as many rulers as possible. With my change I will buy more pencils.” How many pencils and how many rulers does she buy?

Question 8, shown as an image
[6]
Reveal mark scheme Mark scheme for question 8

Paper 1: Non-calculator June 2017 Foundation tier, Question 13 3 marks

2 + 0 + 1 + 7 = 10 Make the following calculations correct. Use only the symbols +, –, ×, ÷ and ()

2 0 1 7 = – 4

2 0 1 7 = 0

Question 13, shown as an image
[3]
Reveal mark scheme Mark scheme for question 13

Paper 2: Calculator June 2017 Foundation tier, Question 9 2 marks

Complete the bank statement.

DateDescriptionCredit (£)Debit (£)Balance (£)
13/12/2016Starting balance212.48
14/12/2016Council tax128.39
15/12/2016Salary856.21
[2]
Reveal mark scheme Mark scheme for question 9

Paper 2: Calculator June 2017 Foundation tier, Question 18 6 marks

Ellen works for a company that sells cars. Her monthly pay is

• a salary of £1470

• 28% of the total profit the company makes from her sales

• a £250 bonus if she sells at least 15 cars.

The table shows information about the cars she sold last year.

Total cost to the companyTotal income for the companyNumber of months when she sold at least 15 cars
£464 500£538 0003

Was Ellen’s total pay for the year more than £40 000? You must show your working.

[6]
Reveal mark scheme Mark scheme for question 18

Paper 3: Calculator June 2017 Foundation tier, Question 11 3 marks

A television channel shows 12 minutes of adverts in each half hour. How many minutes of adverts does it show from 5 am to 11 pm?

[3]
Reveal mark scheme Mark scheme for question 11

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