All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2023 Summer Zone 1
Theory
MCQ
01.
Theory 1 Marks
CH1 - Number

Write the number 91 072 in words.

02.
Theory 1 Marks
CH1 - Number

Write down the next term of this sequence.
11, \ 14, \ 17, \ 20, \ldots \ \text{.............} [1]

03.
Theory 2 Marks
CH5 - Geometry

The diagram shows a circle, centre $O$.

an obtusea chorda diameteran acute
parallela rightperpendiculara radius

Complete each statement using words from the list.
Angle $OMB$ is \text{........................................} angle.
Line $ON$ is \text{........................................}.

04.
Theory 2 Marks
CH1 - Number

From the list of numbers, write down

(a) the multiple of 3 .............................................................. [1]

(b) the factor of 52. ................................................................ [1]

7, 13, 25, 29, 33, 47

05.
Theory 1 Marks
CH1 - Number

Write 520.8647 correct to 1 decimal place. \text{.............................} [1]

06.
Theory 1 Marks
CH1 - Number

Work out how many hours there are in 5 days.

07.
Theory 3 Marks
CH1 - Number

The table shows the maximum and minimum temperatures in three villages.

[Table_1]

(a) Write down the village with the lowest maximum temperature.
.................................................... [1]

(b) Complete the table. [2]

08.
Theory 1 Marks
CH10 - Probability

Eight cards are numbered from 1 to 8. One of these cards is picked at random.
Write down the probability the card numbered 3 is picked.

09.
Theory 2 Marks
CH7 - Mensuration

A piece of wood is 2 m long. It is cut into blocks that are each 60 mm long.
Work out the number of these blocks that are cut and the length of wood left over.

Number of blocks ....................................................
Length of wood .............................................. mm [2]

10.
Theory 1 Marks
CH3 - Functions

Complete the mapping diagram.


11.
Theory 2 Marks
CH1 - Number

A snail moves at an average speed of 50 centimetres per minute.
Work out how many minutes the snail takes to move 3 metres. ............................................. min [2]

12.
Theory 2 Marks
CH2 - Algebra

Show the inequality $-1 < x \leq 4$ on the number line.


13.
Theory 2 Marks
CH1 - Number

In a mathematics examination, $\frac{3}{8}$ of the questions test algebra. There are 6 algebra questions.
Work out the total number of questions in the examination.

14.
Theory 1 Marks
CH9 - Sets

A = \{2, 9, 11, 14, 20\}
B \subset A \text{ and } n(B) = 2.
List the elements of one possible set B.

15.
Theory 1 Marks
CH4 - Coordinate geometry

C is the point (1, 8) and D is the point (5, 0).
Find the coordinates of the mid-point of CD.
(.................., ..................)

16.
Theory 2 Marks
CH10 - Probability

A bag contains 2 pink balls and 7 green balls.
One ball is taken at random and then put back in the bag.
Another ball is then taken at random from the bag.
Complete the tree diagram.
[Image]

17.
Theory 1 Marks
CH2 - Algebra

Simplify.
$$ \frac{c}{5} \cdot \frac{1}{d} $$

18.
Theory 2 Marks
CH11 - Statistics

The scatter diagram shows the biology mark and the chemistry mark for each of 10 students.

(a) On the scatter diagram, draw a line of best fit. [1]
(b) Find the number of students with a mark of more than 3 in biology. [1]

19.
Theory 2 Marks
CH1 - Number

The cost of 30 litres of fuel is $27.
Work out the cost of 40 litres of fuel.
$ ...........................................

20.
Theory 3 Marks
CH7 - Mensuration

A sphere has diameter 6 mm.
Calculate the volume of the sphere.
Give your answer in terms of \( \pi \). .................................................. mm\(^3\) [3]

21.
Theory 3 Marks
CH2 - Algebra

Solve the simultaneous equations.

$$2x + 3y = 17$$
$$x - y = -4$$

x = .......................................
y = ....................................... [3]

22.
Theory 2 Marks
CH9 - Sets

Yasmin asks 60 students whether they like cherries (C) or dragon fruit (D). 13 students like both cherries and dragon fruit. 18 students like cherries only. 15 students like neither.

Complete the Venn diagram to show this information.



23.
Theory 2 Marks
CH4 - Coordinate geometry

The equation of line $L$ is $2y = x - 6$.
Line $P$ is parallel to line $L$ and passes through the point $(0, 4)$.
Find the equation of line $P$.