CAIE IGCSE Mathematics Core Number Question Bank

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

Covered syllabus points

C1.1 Types of number C1.2 Sets C1.3 Powers and roots C1.4 Fractions, decimals and percentages C1.5 Ordering C1.6 The four operations C1.7 Indices I C1.8 Standard form C1.9 Estimation C1.10 Limits of accuracy C1.11 Ratio and proportion C1.12 Rates C1.13 Percentages C1.14 Using a calculator C1.15 Time C1.16 Money

[Maximum number: 12]

(a)

Write the number 845024 in words.

[ 1 ]

(b)

Write these numbers in order, starting with the smallest.

$\frac{7}{18}$ 39% $\frac{15}{40}$ 0.388

................ < ................ < ................ < ................
smallest

[ 2 ]

$\frac{15}{40}$ , 0.388, $\frac{7}{18}$ , 39%

B1 for 3 in the correct order
OR M1 for 0.389 or 0.3888 or 0.3889, and 0.39, and 0.375

(c)

Find the value of

[ 3 ]

(i)

$4^{5}$

[ 1 ]

(ii)

$6^{0}$

[ 1 ]

(iii)

$\sqrt{16} \times \sqrt{49}$ .

[ 1 ]

(d)

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of

\frac{2.7 \times 42.4}{8.6-4.3}

You must show all your working.

[ 2 ]

$\frac{3\times40}{9-4}$ M1

24 A1

If 0 scored, SC1 for 3 correct from 3, 40, 9 and 4 or for all correct but with trailing zeros

(e)

$3^{5} \times 3^{x}=3^{20}$

Find the value of x.
x=

[ 1 ]

(f)

A boat to town A leaves a port every 16 minutes.

A boat to town B leaves the same port every 34 minutes.
Both boats leave the port at 0730.
Work out the next time both boats leave the port together.

[ 3 ]

12 02

B2 for 272 or 4 h 32 mins
or M1 for 272k, or $2\times2\times2\times2\times17$ oe, or $[16=]2\times2\times2\times2$ and $[34=]2\times17$ , or 2 correct factor trees/tables of both 16 and 34

OR

M2 for listing times/multiples of both 16 and 34 to at least 1202 or 272
or M1 for listing at least the next 2 of each or 1 full list

[Maximum number: 3]

(a)

The Venn diagram shows information about the number of students in a class who like apples ( A ) and bananas ( B ).

Figure for Question (a) — CAIE IGCSE Mathematics Core

[ 1 ]

(i)

Work out the number of students who like bananas.

[ 1 ]

(b)

The mass, m grams, of a banana is 115 g, correct to the nearest 5 g.
Complete the statement about the value of m.

___ $\leqslant m <$ ___

[ 2 ]

$112.5 \leqslant m < 117.5$
B1 for each.
If 0 scored, SC1 for both correct but reversed.

[Maximum number: 9]

(a)

Write one hundred and twenty thousand and twenty in figures.

[ 1 ]

(b)

Figure for Question (b) — CAIE IGCSE Mathematics Core

[ 1 ]

(i)

Write down the fraction of the rectangle that is shaded.

[ 1 ]

$\frac{5}{8}$

(c)

Write these numbers in order, starting with the smallest.

27 \% \quad \frac{5}{17} \quad 0.268 \quad \frac{7}{29}

< < <

[ 2 ]

$\frac{7}{29}$ , 0.268, 27\%, $\frac{5}{17}$
B1 for 3 in the correct order, or M1 for .27, .29..., [.268], .24...

(d)

Write 0.3728 correct to 1 decimal place.

[ 1 ]

(e)

Write down the value of $19^{0}$ .

[ 1 ]

(f)

The height, h metres, of a tower is 128 m, correct to the nearest metre.

Complete the statement about the value of h.

[ 2 ]

(g)

Write down an irrational number with a value between 6 and 7 .

[ 1 ]

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Covered syllabus points

1. Number question 1

Question (a)

Question (b)

Question (c)

Question (i)

Question (ii)

Question (iii)

Question (d)

Question (e)

Question (f)

1. Number question 2

Question (a)

Question (i)

Question (b)

1. Number question 3

Question (a)

Question (b)

Question (i)

Question (c)

Question (d)

Question (e)

Question (f)

Question (g)