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Edexcel IGCSE Math A 1.4 Powers & roots Question Bank

Practise powers, roots, index laws, prime factor form, HCF, LCM and surds through calculation and show-that questions.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Foundation

Exam points

  • apply index laws to products and quotients, including negative powers in a single base
  • use prime factors to find products of powers, HCF or LCM for integers
  • manipulate surds by simplifying roots or rationalising denominators into a required form

Covered syllabus points

1.4.A Square numbers and cube numbers1.4.B Squares, square roots, cubes and cube roots1.4.C Index notation and index laws1.4.D Prime factor decomposition1.4.E Highest common factors (HCF) and lowest common

1.4 Powers and roots question 1

[Maximum number: 1]

Here is a list of numbers.

289182428\begin{array}{llllll} 2 & 8 & 9 & 18 & 24 & 28 \end{array}

From the numbers in the list, write down

a cube number

1.4 Powers and roots question 2

[Maximum number: 1]

Find the square root of 1296

1.4 Powers and roots question 3

[Maximum number: 3]

Question (a)

(a)

Find the value of 3.423.4^{2}

[ 1 ]

Question (b)

(b)

Find the cube root of 373248

[ 1 ]

Question (c)

(c)

Write 7×7×7×7×7÷77 \times 7 \times 7 \times 7 \times 7 \div 7 as a single power of 7

[ 1 ]
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