Lemmara logoLemmaraWorked solution

4MA1/2F Jun 2019, Question 1: Further Powers and Roots

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

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Order two sets of numbers from smallest to largest, then evaluate a square root and a cube root.

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

Part (a) · 1 mark

Arrange 3, −8, 1, −5, 0 in ascending order, starting with the smallest.

  1. 1Negatives first: −8 is less than −5
  2. 2Then 0, 1, 3
  3. 3−8, −5, 0, 1, 3

Answer−8, −5, 0, 1, 3

Part (b) · 1 mark

Arrange 2.5, 2.85, 2.082, 2.28, 2.805 in ascending order of size.

  1. 1Compare tenths: 2.0.. < 2.2.. < 2.5.. < 2.8..
  2. 22.805 < 2.850
  3. 32.082, 2.28, 2.5, 2.805, 2.85

Answer2.082, 2.28, 2.5, 2.805, 2.85

Part (c) · 2 marks

Find (i) √196 and (ii) the cube root of 6859.

  1. 1(i) √(196) = 14 since 14 × 14 = 196
  2. 2(ii) ∛(6859) = 19 since 19 × 19 × 19 = 6859

Answer14, 19

Stuck on a step? Read the free lesson: Further Powers and Roots

Practise more further powers and roots 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 further powers and roots

Also searched as: 4MA1 2F June 2019 · 4MA1/2F · 4ma1 jun19 2f · question 1.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.