All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2024 Winter Zone 3
Theory
MCQ
01.
Theory 1 Marks
Natural numbers

From the list of numbers, write down all the factors of 20.
4\ 10\ 15\ 40\ 60
............................. [1]

02.
Theory 1 Marks
Natural numbers

Complete the statement with the correct mathematical name.
In a circle, $\text{..............................} = 2 \times \text{radius.}$

03.
Theory 1 Marks
Natural numbers

Write the number eighty million in figures.

04.
Theory 2 Marks
Natural numbers

This formula is used to find the cost to make a number of chairs.

Work out the cost to make 10 chairs.

05.
Theory 1 Marks
Natural numbers

The cost of one ticket for a show is $7.50.
Work out the cost of 50 tickets.
$\text{.....................} \; [1]$

06.
Theory 1 Marks
Natural numbers

Faris is collecting data about cars.

Write down an example of continuous data that Faris could collect.

07.
Theory 2 Marks
Natural numbers

A box contains 25 centilitres of juice.
Work out the total amount of juice in 10 boxes. Give your answer in litres.
................................ litres

08.
Theory 2 Marks
Natural numbers

Write 85\% as a fraction in its simplest form.

09.
Theory 2 Marks
Natural numbers

Complete the mapping diagram.
[Image showing mapping diagram with pairs: (1, ...), (2, 8), (3, 13), (..., 28), (10, 48)]

10.
Theory 3 Marks
Natural numbers

Sofia records the number of photos she takes each day during her two-week holiday.
18 17 9 12 25 8 21
20 22 9 13 17 9 10
Complete the stem-and-leaf diagram to show this information.

Key ....... | ....... represents .............. photos

11.
Theory 3 Marks
Natural numbers


Work out the total surface area of the cuboid.
................................................ cm$^2$

12.
Theory 3 Marks
Natural numbers

Zara asks 20 people how many times they buy fuel for their car during a two-week period. The table shows this information.

[Table_1]
Number of times | 1 | 2 | 3 | 4
Frequency | 4 | 5 | 8 | 3

(a) Find the mode. ............................................................... [1]
(b) Find the mean. ............................................................... [2]

13.
Theory 2 Marks
Natural numbers

Write down all the integer values of $x$ that satisfy this inequality.
$-1 \leq x < 2$

14.
Theory 2 Marks
Natural numbers

Translate shape A by \( \begin{pmatrix} -3 \\ -2 \end{pmatrix} \).

15.
Theory 1 Marks
Natural numbers

Pia cycles from $Q$ on a bearing of $260^{\circ}$.
Draw a line to show the direction of Pia’s route.



16.
Theory 2 Marks
Natural numbers

U = \{ \text{numbers from 0 to 22} \}
A = \{ \text{multiples of 4} \}
B = \{ \text{square numbers} \}
(a) Write down the elements of $A$. ................................................ [1]
(b) Write down the elements of $A \cap B$. ................................................ [1]

17.
Theory 1 Marks
Natural numbers

Simplify. $\frac{t^6}{t^3}$

18.
Theory 3 Marks
Natural numbers

The $n$th term of a sequence is $3n + k$, where $k$ is a positive integer. The 10th term is 38.

(a) Find the value of $k$.
$$k = \text{........................................}$$ [2]

(b) Find the 5th term of the sequence.
$$\text{........................................}$$ [1]

19.
Theory 3 Marks
Natural numbers

Work out. $$2\frac{2}{11} - 1\frac{3}{5}$$

20.
Theory 1 Marks
Natural numbers

Find the gradient of the line $5y = 3x + 20$.

21.
Theory 3 Marks
Natural numbers

100 students take a biology test. The cumulative frequency curve shows the results.

(a) Use the curve to estimate the median mark.
................................................ [1]
(b) Find how many students gained more than 35 marks.
................................................ [2]