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CAIE IGCSE Mathematics Extended 1 Number Questions

Practise CAIE IGCSE Number through integers, fractions, percentages, ratio, bounds, time, money, indices and standard-form calculations.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Extended

Covered syllabus points

E1.1 Types of numberE1.2 SetsE1.3 Powers and rootsE1.4 Fractions, decimals and percentagesE1.5 OrderingE1.6 The four operationsE1.7 Indices IE1.8 Standard formE1.9 EstimationE1.10 Limits of accuracyE1.11 Ratio and proportionE1.12 RatesE1.13 PercentagesE1.14 Using a calculatorE1.15 TimeE1.16 MoneyE1.17 Exponential growth and decayE1.18 Surds

Question 1

[Maximum number: 2]

Find the highest common factor (HCF) of 36 and 54.

Question 2

[Maximum number: 3]
Figure for Question 2 — CAIE IGCSE Mathematics Extended

n(E)=20,n(A∪B)′=3,n(A)=10\mathrm{n}(\mathscr{E})=20, \mathrm{n}(A \cup B)^{\prime}=3, \mathrm{n}(A)=10 and n(B)=13.
The Venn diagram shows some of this information.

Find

Question (a)

(a)

n(A∩B)\mathrm{n}(A \cap B)

[ 2 ]

Question (b)

(b)

n(A′∩B)\mathrm{n}\left(A^{\prime} \cap B\right).

[ 1 ]

Question 3

[Maximum number: 1]

Calculate.

2.12−1.90.5\frac{2.1^{2}-1.9}{0.5}

Question 4

[Maximum number: 2]

The line y=2 x-5 intersects the line y=3 at the point P.
Find the coordinates of the point P.

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