Calculation problems Quiz (Grade 2)

Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8/9

Topic:

Score: 0 / 10

Calculation problems — Notes & Worked Examples Show / Hide

Explanation:

For multi-step calculation problems, break the question into clear labelled steps so you gain method marks even if you make an arithmetic slip. Check that all money values are in the same units (either all in pounds £ or all in pence p) before adding or subtracting.

In division word problems with remainders, read the context carefully to decide whether to round up (e.g. coaches, boxes, or packs needed so nobody is left behind) or round down (e.g. how many full items you can afford to buy).

Example 1: Cinema tickets cost £8.50 for an adult and £5.25 for a child. Work out the change from £50 for 3 adults and 4 children.

Solution:

• 3 adults: 3 × £8.50 = £25.50

• 4 children: 4 × £5.25 = £21.00

• Total cost: £25.50 + £21.00 = £46.50

• Change: £50.00 − £46.50 = Answer: £3.50

Example 2: 175 students and 14 teachers go on a school trip. Each coach holds 42 people. How many coaches are needed?

Solution:

• Total people: 175 + 14 = 189 people

• Divide by 42: 4 × 42 = 168 (remainder 21)

• 4 coaches only hold 168 people, leaving 21 people behind.

• Round up to cover everyone → Answer: 5 coaches

One Page Guide (PDF) Calculation problems Worksheets

Question 1

[1 mark]

Amir buys 3 notebooks that cost £2.25 each. He pays with a £20 note.
Work out how much change Amir receives.

Worked Solution & Answer

3 × £2.25 = £6.75, so change = £20 - £6.75 = £13.25. B1

Answer: £ £13.25

Question 2

[1 mark]

Amir buys 5 notebooks that cost £2.50 each. He pays with a £20 note.
Work out how much change Amir receives.

Worked Solution & Answer

5 × £2.50 = £12.50, so change = £20 - £12.50 = £7.50. B1

Answer: £ £7.50

Question 3 Practice Set 4 3F Q6

[3 marks]

Two shops, Food Mart and Jim’s Store, both sell Kreemy Yoghurts.

At which shop are Kreemy Yoghurts the better value for money?
You must show all your working.

Worked Solution & Answer

Food Mart: 180p ÷ 5 = 36p per yoghurt M1
Jim’s Store: 105p ÷ 3 = 35p per yoghurt M1
Jim’s Store is better value. A1

Answer: Jim’s Store (35p per yoghurt vs 36p at Food Mart)

Question Paper (PDF) • Mark Scheme (PDF)

Question 4 Eduqas Nov 2023 1F Q8

[3 marks]

A shop sells the same brand of lemonade in two different-sized bottles.

Which bottle is the better value for money?
[ ] The 1000 ml bottle [ ] The 300 ml bottle
You must show all your working.

Worked Solution & Answer

1000 ml bottle: 250p / 10 = 25p per 100 ml. 300 ml bottle: 81p / 3 = 27p per 100 ml. 25p < 27p, so 1000 ml is better value. M2 C1

Answer: The 1000 ml bottle

Question Paper (PDF) • Mark Scheme (PDF)

Question 5 Eduqas Nov 2017 1F Q4

[4 marks]

Theo and Anya are buying food and drink for a picnic.

(a) Theo buys a salad and five identical packs of chicken sandwiches.
The salad costs £3.
Theo’s total bill is £18.03.
Theo says,
‘This bill must be wrong.’
Explain why Theo is correct. [1 mark]

(b) Anya needs 4 bottles of cola and 5 cans of lemon fizz.
A can of lemon fizz costs £1.05.
She pays £9.45.
How much does a bottle of cola cost? [3 marks]

Worked Solution & Answer

(a)

Cost of 5 packs of sandwiches = £18.03 – £3 = £15.03.
£15.03 ÷ 5 = £3.006, which is not an exact amount of money in pence. C1

Answer (a): £18.03 – £3 = £15.03, which does not divide by 5 to give a whole number of pence (gives £3.006).

(b)

Under the deal, 4 bottles of cola give 4 cans of lemon fizz free M1
She needs 5 cans of lemon fizz, so she pays for 1 can: 1 × £1.05 = £1.05 M1
Remaining cost for 4 bottles of cola = £9.45 – £1.05 = £8.40
Cost of 1 bottle of cola = £8.40 ÷ 4 = £2.10. A1

Answer (b): £ £2.10

Question Paper (PDF) • Mark Scheme (PDF)

Question 6 Eduqas Jun 2018 1F Q3

[5 marks]

Georgia has exactly £20 in her purse and goes shopping for art supplies.
She buys a sketch pad, a packet of pencils and an eraser, as shown below.

(a) How much does Georgia pay for her art supplies? [3 marks]

(b) Georgia then goes to a different shop and buys paint costing £2.75.
How much money does Georgia have left in her purse after she buys the paint? [2 marks]

Worked Solution & Answer

(a)

Sketch pad = £6.50 M1
Pencils = £4.29 M1
Art eraser half price = £2.10 ÷ 2 = £1.05
Total = £6.50 + £4.29 + £1.05 = £11.84 A1

Answer (a): £ £11.84

(b)

Remaining before paint = £20 - £11.84 = £8.16 M1
After paint = £8.16 - £2.75 = £5.41 A1

Answer (b): £ £5.41

Question Paper (PDF) • Mark Scheme (PDF)

Question 7 Practice Set 3 2F Q6

[5 marks]

Here is a café menu.

(a) Work out the total cost. [2 marks]

(b) Does Tyler have enough money?
Give reasons for your answer. [3 marks]

Worked Solution & Answer

(a)

£1.65 + £0.80 = £2.45 M1 A1

Answer (a): £ 2.45

(b)

2 × £1.40 + £0.75 + £0.80 = £2.80 + £1.55 = £4.35 < £5.00 M2 A1

Answer (b): Yes, the total cost is £4.35 which is less than £5

Question Paper (PDF) • Mark Scheme (PDF)

Question 8 Practice Set 2 1F Q13

[5 marks]

A charity made an appeal for money.
The charity put the information shown below on a poster.

(a) Work out the cost of one of the meals.
Give your answer in pence. [2 marks]

(b) Work out the cost of buying lunch for one school child for one day. [3 marks]

Worked Solution & Answer

(a)

300p ÷ 5 = 60p M1 A1

Answer (a): 60 p

(b)

80 × 5 = 400 lunches. £100 ÷ 400 = £0.25 = 25p M2 A1

Answer (b): 25p (or £0.25)

Question Paper (PDF) • Mark Scheme (PDF)

Question 9 OCR Nov 2018 1F Q15

[5 marks]

Tea bags of similar quality are sold in three different sized packs:

(a) Which pack is the best value for money?
Show how you decide. [4 marks]

(b) Explain why someone may buy a pack which is not the best value for money. [1 mark]

Worked Solution & Answer

(a)

Cost per tea bag: M1
Small: 210 ÷ 80 = 2.625p per bag M1
Medium: 355 ÷ 150 = 2.367p per bag M1
Large: 525 ÷ 220 = 2.386p per bag.
**Medium pack** is the best value because it has the lowest cost per tea bag A1

Answer (a): Medium pack (2.37p per bag vs 2.625p Small and 2.386p Large)

(b)

They may not have enough money for a larger pack, or they live alone and only want a small pack C1

Answer (b): E.g. They may only have £2.10 or only need a small number of tea bags

Question Paper (PDF) • Mark Scheme (PDF)

Question 10 Eduqas Jun 2024 2F Q1

[5 marks]

A shop sells bracelets.
Words can be engraved on the bracelet and charms can be added.
The price list is shown below.

(a) Rhian buys a bracelet with a five-letter word engraved on it.
She also buys a heart charm.
What is the total cost of these items? [2 marks]

(b) Huw spent £187.70 on star charms.
How many star charms did he buy? [1 mark]

Caitlyn bought one bracelet and four flower charms using the voucher.
How much cheaper is it to buy these items using the voucher than paying the usual price?

Worked Solution & Answer

(a)

Bracelet: £45 M1
Heart charm: £13.20
Engraving (5 letters): 5 × £0· 84 = £4· 20
Total cost = 45 + 13· 20 + 4· 20 = £62· 40. A1

Answer (a): £ £62.40

(b)

187· 70 ÷ 37· 54 = 5 charms. B1

Answer (b): 5

(c)

Usual price: £45 + 4 × £18 = 45 + 72 = £117 M1
Voucher price: £95
Saving = 117 - 95 = £22. A1

Answer (c): £ £22

Question Paper (PDF) • Mark Scheme (PDF)

Score: 0 / 10 (0 / 37 marks)

Calculation problems Worksheets Next: Using a calculator →

Grade 2 Quizzes

19 Topics

2A - Calculation problems	2B - Using a calculator
2C - Systematic listing	2D - Fraction of an amount
2E - FDP	2F - Simplifying algebra
2G - Writing an expression	2H - Function machines
2J - Solving one step equations	2K - Angles
2L - Area and perimeter	2M - Reading scales
2N - Probability & Probability Scale	2P - Frequency polygons
2Q - Unitary method	2R - Bar charts
2S - Pie charts	2T - Averages
2U - Stem and leaf diagrams