Lemmara logoLemmaraWorked solution

4MA1/2F Jun 2018, Question 7: Square Numbers

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Four short number tasks: express a repeated multiplication as a power, demonstrate that 64 is both a square and a cube, evaluate 11³, and evaluate √98.01.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Rewrite the product of five 7s using exponent notation with base 7.

  1. 1There are five 7s multiplied together, so the power is 5: 7⁵

Answer7⁵

Part (b) · 2 marks

Give reasons showing 64 can be written as an integer squared and also as an integer cubed.

  1. 18 × 8 = 64, so 64 is a square number
  2. 24 × 4 × 4 = 64, so 64 is a cube number
  3. 364 = 8² and 64 = 4³

Answer64 = 8² and 64 = 4³

Part (c) · 1 mark

Work out the value of 11 cubed.

  1. 111³ = 11 × 11 × 11
  2. 211 × 11 = 121 and 121 × 11 = 1331

Answer1331

Part (d) · 1 mark

Work out the square root of 98.01.

  1. 1√98.01 = 9.9

Answer9.9

Stuck on a step? Read the free lesson: Square Numbers

Practise more square numbers questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on square numbers

Also searched as: 4MA1 2F June 2018 · 4MA1/2F · 4ma1 jun18 2f · question 7.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.