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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: 2]

Find the value of 642364^{\frac23}.

Question 4

[Maximum number: 7]

Question (a)

(a)

One year, a farmer makes a profit of $ 24730 selling eggs.

Write this profit

[ 2 ]

Question (i)

(i)

correct to 2 significant figures
$

[ 1 ]

Question (ii)

(ii)

in standard form.
$

[ 1 ]

Question (b)

(b)

On a farm, there are 500 hens, correct to the nearest 10 .

[ 5 ]

Question (i)

(i)

In one year, the mean number of eggs laid per hen was 320 eggs, correct to the nearest 20 .

Calculate the upper bound for the total number of eggs all the hens lay in that year.

[ 3 ]

Question (ii)

(ii)

Another farm has 800 hens, correct to the nearest 20 .

Calculate the lower bound for the difference between the number of hens on the two farms.

[ 2 ]
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