Use the fraction, power, root and bracket keys correctly, read the display and round the answer sensibly. It is a Foundation topic, aimed at grade 2. Free questions with answers are on this page. Worked examples show each line before you try the questions.
The calculator will do exactly what you type, including the mistakes. Use the fraction button (or ab/c) for 85, then S⇔D if a decimal is asked. For powers use x2, x3 or the ∧ key; for roots use the matching root key, not trial and improvement.
A fraction bar, a square root and a power are all hidden brackets. 3.6×10 needs the product inside the root. Type (3.6×10) or use the 2D display so the 10 sits under the root with the 3.6.
Write the calculation on paper first. If the display is obviously wrong (2.53 should be a bit more than 8, not 15625), you missed a decimal point or a bracket.
Objectives
A calculator does the keys you press, including a missing bracket.
A bracket makes the calculator do that piece first.
Division and multiplication run left to right.
Key points
Type a whole calculation in one go using brackets where the question has a fraction line or a root over several terms.
Use the fraction key to enter and simplify fractions, and switch between fraction and decimal.
Use the x2, x3, power and root keys.
Write down the full calculator display before rounding.
Worked examples
Example 1
The keys pressed are 2 + 4 × 3. What should the display show?
3 marks
4 × 3 = 12.
12 + 2 = 14.
The result is 14.
Answer: 14
Common slips
Slip: 4 + 3 = 7. That uses addition, but this step needs multiplication.
Slip: 12 − 2 = 10. That uses subtraction, but this step needs addition.
Slip: The result is 18. That does not match the working above it.
Example 2
The keys pressed are (3 + 2) × 5. What should the display show?
3 marks
3 + 2 = 5.
5 × 5 = 25.
The result is 25.
Answer: 25
Common slips
Slip: 3 − 2 = 1. That uses subtraction, but this step needs addition.
Slip: 5 + 5 = 10. That uses addition, but this step needs multiplication.
Slip: The result is 29. That does not match the working above it.
Example 3
The keys pressed are 16 ÷ 4 × 2. What should the display show?
3 marks
16 ÷ 4 = 4.
4 × 2 = 8.
The result is 8.
Answer: 8
Common slips
Slip: 16 × 4 = 64. That uses multiplication, but this step needs division.
Slip: 4 + 2 = 6. That uses addition, but this step needs multiplication.
Slip: The result is 12. That does not match the working above it.
Questions and answers
GCSE Maths using a calculator questions and answers. Try each one, then open the answer. Easy questions come first.
Question 1 Easy2 marks
The keys pressed are 5 + 4 × 3. What should the display show?
Show answer
Answer: 17
4 × 3 = 12.
12 + 5 = 17.
M1 — 4 × 3 = 12.
A1 — Answer 17
Question 2 Easy2 marks
The keys pressed are (6 + 2) × 5. What should the display show?
Show answer
Answer: 40
6 + 2 = 8.
8 × 5 = 40.
M1 — 6 + 2 = 8.
A1 — Answer 40
Question 3 Medium2 marks
The keys pressed are (9 + 2) × 5. What should the display show?
Show answer
Answer: 55
9 + 2 = 11.
11 × 5 = 55.
M1 — 9 + 2 = 11.
A1 — Answer 55
Question 4 Medium2 marks
The keys pressed are 40 ÷ 4 × 2. What should the display show?
Show answer
Answer: 20
40 ÷ 4 = 10.
10 × 2 = 20.
M1 — 40 ÷ 4 = 10.
A1 — Answer 20
Question 5 Hard2 marks
The keys pressed are 52 ÷ 4 × 2. What should the display show?
Show answer
Answer: 26
52 ÷ 4 = 13.
13 × 2 = 26.
M1 — 52 ÷ 4 = 13.
A1 — Answer 26
Question 6 Hard2 marks
The keys pressed are 14 + 4 × 3. What should the display show?
Show answer
Answer: 26
4 × 3 = 12.
12 + 14 = 26.
M1 — 4 × 3 = 12.
A1 — Answer 26
Question 7 Exam-style3 marks
The keys pressed are 17 + 4 × 3. What should the display show?
Show answer
Answer: 29
4 × 3 = 12.
12 + 17 = 29.
The result is 29.
M1 — 4 × 3 = 12.
M1 — 12 + 17 = 29.
A1 — Answer 29
Common mistakes
Most lost marks on this topic are one slip.
Trusting a display that was typed left to right.
Match the keys to the order of operations.
Forgetting a bracket that the question included.
The bracket is part of the calculation.
Squaring the whole product when only one number has the power.
The square key applies to the number that carries it.
Spot the slip
In 2 + 3 × 4, what is pressed as the first operation that should happen?
3 × 4
2 + 3
4 + 2
Show the slip
3 × 4 Multiplication is done before addition.
Exam tips
A calculator is useful here. Show the calculation you typed, not only the final line.
If the question says “show that”, the result is given. The marks are for the steps that reach it.
The method is the same on AQA-style and Edexcel-style papers.
Always write down the full display before rounding; if your rounding is wrong you still keep the method mark.
Check the answer is a sensible size with a quick estimate: 4.520+6 is a bit under 6, so 5.84 is believable.
Printable worksheet
The same questions are in a PDF you can print. Answers start on a later page.