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Edexcel IGCSE Math A Foundation 1.4 Powers and Roots Questions

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

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

Question 2

[Maximum number: 1]

Find the square root of 1296

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 ]

Question 4

[Maximum number: 1]

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

Question 5

[Maximum number: 4]

Question (a)

(a)

Write 720 as a product of its prime factors. Show your working clearly.

[ 3 ]

Question (b)

(b)

Find the smallest whole number that 720 can be multiplied by to give a square number.

[ 1 ]

Question 6

[Maximum number: 1]

Find the highest common factor (HCF) of 21 and 35

All question bank results loaded