All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2023 Winter Zone 2
Theory
MCQ
01.
Theory 1 Marks
CH5 - Geometry

Write down the mathematical name for a line joining the centre of a circle to its circumference. ............................................... [1]

02.
Theory 1 Marks
CH1 - Number

Work out how many complete weeks there are in 60 days.

03.
Theory 1 Marks
CH2 - Algebra

Write down the rule for continuing this sequence.

3, 6, 12, 24, 48, ...

04.
Theory 1 Marks
CH1 - Number

A person has a mass of 83000 grams.
Find the mass of the person in kilograms.
................................. kg

05.
Theory 2 Marks
CH1 - Number

It costs 50 cents to post one letter.
Work out the cost, in dollars, of posting 160 letters.
$\text{.........................}$

06.
Theory 1 Marks
CH1 - Number

Write down the value of the cube root of 1000.

07.
Theory 2 Marks
CH11 - Statistics

The table shows examples of types of data collected about members of a gym. Put a tick (✔) in each row to show whether the data is Discrete or Continuous.
[Table_1: | Type of data | Discrete | Continuous |
-------------------------------- | ------------------------ | ------------------- |
Height | | |
Total time spent at gym | | |
Number of visits to gym | | |
Cost of membership | | |]

08.
Theory 1 Marks
CH3 - Functions

Complete the mapping diagram.


09.
Theory 1 Marks
CH1 - Number

Work out.
$15 \div (4 - 9)$

10.
Theory 2 Marks
CH7 - Mensuration

A cuboid has dimensions 10 cm, 4 cm and 2 cm.
Work out the volume of the cuboid.
......................... cm^3

11.
Theory 1 Marks
CH9 - Sets

U = \{ x \ | \ x \text{ is an even number where } 2 < x < 10 \}
List the elements of the set U.

12.
Theory 2 Marks
CH11 - Statistics

These are the ages in years of 10 people.
28   32   33   33   34   35   36   37   41   45
Find the interquartile range. ..................................... years [2]

13.
Theory 2 Marks
CH1 - Number

Orange paint is made by mixing 2 litres of red paint with 10 litres of yellow paint. Jasmine uses 3 litres of red paint to make orange paint. Work out the number of litres of yellow paint she uses.

14.
Theory 2 Marks
CH1 - Number

Tom invests $400 at a rate of 2% per year simple interest.
Work out the total value of the investment at the end of one year.
$ ext{........................................} [2]

15.
Theory 2 Marks
CH5 - Geometry

The interior angles of a polygon add up to 720°.
Find the number of sides of the polygon.

16.
Theory 2 Marks
CH11 - Statistics

The scatter diagram shows the relationship between the number of branches and the heights of 15 trees.

The mean height of a tree is 3.2 m and the mean number of branches is 120.
Use this information to draw the line of best fit.

17.
Theory 2 Marks
CH2 - Algebra

Solve.
$5 - 3x = 4x + 19$
$x = \text{.....................}$ [2]

18.
Theory 1 Marks
CH1 - Number

The area of the European continent is $1.02 \times 10^7$ km².
Write this area as an ordinary number.
.................... km² [1]

19.
Theory 2 Marks
CH6 - Vectors and transformations

Point $A$ is translated to point $B$ by the vector $\begin{pmatrix} c \\ d \end{pmatrix}$.
Find the value of $c$ and the value of $d$.

$c = \text{.................................}$
$d = \text{.................................}$

20.
Theory 2 Marks
CH9 - Sets

120 students are asked what they eat for lunch.
30 students eat sandwiches.
40 students eat fruit.
70 students did not eat sandwiches and did not eat fruit.
Complete the Venn diagram.


21.
Theory 2 Marks
CH10 - Probability

An unbiased 6-sided spinner, numbered 1, 2, 3, 4, 5, 6, is spun twice.
Find the probability that the spinner lands on the number 4 both times.
.................................................. [2]

22.
Theory 2 Marks
CH2 - Algebra

Solve the simultaneous equations.

$$3x + y = 5$$
$$4x - y = 9$$

$$x = \text{.....................}$$
$$y = \text{.....................}$$

23.
Theory 3 Marks
CH1 - Number

A train leaves station X at 11 10 and travels at an average speed of 200 km/h. The train arrives at station Y at 11 22.
Work out the distance between station X and station Y.

24.
Theory 2 Marks
CH2 - Algebra

Write as a single fraction.
$$\frac{3a}{8} + \frac{a}{4}$$