All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2024 Winter Zone 2
Theory
MCQ
01.
Theory 1 Marks
Natural numbers

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

02.
Theory 1 Marks
Natural numbers

Complete the statement with the correct mathematical name.

In a circle, .................................................... = 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.
$$\text{cost in dollars} = 5 \times \text{number of chairs} + 30$$
Work out the cost to make 10 chairs.
\$................................ [2]

05.
Theory 1 Marks
Natural numbers

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

06.
Theory 1 Marks
Natural numbers

Faris is collecting data about cars.
Write down an example of continuous data that Faris could collect.
....................................................... [1]

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.


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 [3]

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.

Number of times1234
Frequency4583

(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.
$\frac{t^6}{t^3} = \text{.....................}$

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]