Where can I download free calculation problems PDF worksheets with answers?

On this MathsLinks page you can download free printable calculation problems PDF worksheets (Qs) and full worked solutions or mark schemes (Ans) from Ken Stafford, Maths Genie, Maths4EveryOne, Metatutor, GCSE Maths Rocket, plus a printable one-page calculation problems revision guide.

What GCSE grade is calculation problems (2A)?

Calculation problems (topic code 2A) is a Grade 2 number topic in GCSE Maths for Edexcel, AQA, OCR, Eduqas and IGCSE specifications.

Free Calculation problems Worksheets (PDF) with Answers — GCSE Maths

Free Calculation problems PDF Worksheets & Answers

Grade 2 • Topic 2A

Resource	Questions	Answers
Ken Stafford GCSE past paper questions & solutions	Qs	Ans
Maths Genie Graded exam questions & solutions	Qs	Ans
Maths4EveryOne KS2 SATs questions & solutions	Qs	Ans
Metatutor Topic worksheet & worked solutions	Qs	Ans
Metatutor (1) Topic worksheet & worked solutions	Qs	Ans
GCSE Maths Rocket Practice questions & answers	Qs	Ans
GCSE Maths Rocket (1) Practice questions & answers	Qs	Ans
E Classroom GCSE topic booklet & answers	Qs	Ans
PMT (Edxl) Edexcel GCSE topic questions & solutions	Qs	Ans
PMT (AQA) AQA GCSE topic questions & solutions	Qs	Ans
PMT (IGCSE) Edexcel IGCSE topic questions & solutions	Qs	Ans

Grade 2 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

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

Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Calculation problems Questions & Answers

10-Question Interactive Quiz More Past Paper Questions

Past Paper Example 1 Eduqas Jun 2024 2F Q1 5 marks

Full Paper (PDF) • Mark Scheme (PDF)

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 & Mark Scheme (5 marks)

Part (a) Solution:

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

Part (b) Solution:

187· 70 ÷ 37· 54 = 5 charms. B1

Answer (b): 5

Part (c) Solution:

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

Answer (c): £ £22

Past Paper Example 2 Eduqas Jun 2018 1F Q3 5 marks

Full Paper (PDF) • Mark Scheme (PDF)

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 & Mark Scheme (5 marks)

Part (a) Solution:

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

Part (b) Solution:

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

Answer (b): £ £5.41

Past Paper Example 3 Eduqas Nov 2017 1F Q4 4 marks

Full Paper (PDF) • Mark Scheme (PDF)

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 & Mark Scheme (4 marks)

Part (a) Solution:

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).

Part (b) Solution:

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

← 1R 3D shapes

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Calculation problems

Free Calculation problems PDF Worksheets & Answers

Guide to Calculation problems: Explanation, Diagrams & Worked Examples

GCSE Past Paper Calculation problems Questions & Answers