1 Numbers and the number system

1.1 Integers

1.2 Fractions

1.3 Decimals

1.4 Powers and roots

1.5 Set language and notation

1.6 Percentages

1.7 Ratio and proportion

1.8 Degree of accuracy

1.9 Standard form

1.10 Applying number

1.11 Electronic calculators

2 Equations, formulae and identities

2.1 Use of symbols

2.2 Algebraic manipulation

2.3 Expressions and formulae

2.4 Linear equations

2.5 Proportion

2.6 Simultaneous linear equations

2.7 Quadratic equations

2.8 Inequalities

3 Sequences, functions and graphs

3.1 Sequences

3.2 Function notation

3.3 Graphs

3.4 Calculus

4 Geometry and trigonometry

4.1 Angles, lines and triangles

4.2 Polygons

4.3 Symmetry

4.4 Measures

4.5 Construction

4.6 Circle properties

4.7 Geometrical reasoning

4.8 Trigonometry and Pythagoras’ theorem

4.9 Mensuration of 2D shapes

4.10 3D shapes and volume

4.11 Similarity

5 Vectors and transformation geometry

5.1 Vectors

5.2 Transformation geometry

6 Statistics and probability

6.1 Graphical representation of data

6.2 Statistical measures

6.3 Probability

IGCSE Math a 1.4 Powers and roots Topic Practice

Edexcel IGCSE Math a 1.4 Powers and roots question practice helps you revise this syllabus point with the course map in view. Use this page to focus on one topic, check the style of questions available, and connect each attempt back to the knowledge area it is testing.

EduNinja keeps Math a practice aligned to Edexcel, so you can move from topic review into exam-style question bank work without losing the syllabus structure. Start with a small set, mark the weak steps, then return to nearby topic links when a definition, graph, calculation, or explanation needs repair.

(a)

Find

[ 2 ]

(i)

the value of $\sqrt{196}$

(ii)

the cube root of 6859

[ 2 ]

Write 600 as a product of powers of its prime factors.
Show your working clearly.

(a)

Write $5^{17} \times 5^{2}$ as a single power of 5

[ 1 ]

(b)

Write 800 as a product of its prime factors. Show your working clearly.

[ 2 ]

[Maximum number: 2]

Write $\frac{7^{8} \times 7^{4}}{7^{3}}$ as a single power of 7

From the numbers in the box, write down

(a)

the square number

(b)

the cube number

Write 1400 as a product of powers of its prime factors.
Show your working clearly.

[Maximum number: 1]

From the numbers in the box, write down

a square number

[Maximum number: 2]

Here is a list of numbers.

\begin{array}{llllll} 9 & 11 & 25 & 27 & 33 & 40 \end{array}

(a)

From the numbers in the list, write down

[ 1 ]

(i)

a cube number

Here are the temperatures, in ${ }^{\circ} \mathrm{C}$ , in Paris at midnight for one week.

[ 1 ]

(b)

Find the square root of 441

Hassan says,
"the sum of two prime numbers is always even"

[ 1 ]

Find the lowest common multiple (LCM) of 45 and 70

Write 880 as a product of powers of its prime factors.
Show your working clearly.

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