All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2019 Summer Zone 2
Theory
MCQ
01.
Theory 1 Marks
CH1 - Number

Write 123.456 correct to the nearest 10.

02.
Theory 1 Marks
CH1 - Number

Work out how many days there are in \(5\) weeks. \(\underline{\hspace{2cm}}\) days \([1]\)

03.
Theory 1 Marks
CH1 - Number

Find 10\% of 300.

04.
Theory 2 Marks
CH5 - Geometry

Draw all the lines of symmetry on the diagram.

05.
Theory 2 Marks
CH4 - Coordinate geometry

On the grid, plot and label the points A (-4, 3) and B (5, -2).

06.
Theory 1 Marks
CH5 - Geometry

Complete the statement.
An angle that is more than 180\degree\ but is less than 360\degree\ is called \text{.............................}

07.
Theory 2 Marks
CH7 - Mensuration


A square of side 3 cm is removed from the corner of a square of side 12 cm.
Find the area of the remaining shape.
..................................... cm^2 [2]

08.
Theory 2 Marks
CH2 - Algebra

$P = R + 5T$
Find the value of $P$ when $R = 7$ and $T = 6$.
$P = \text{..............................}$ [2]

09.
Theory 1 Marks
CH8 - Trigonometry

The diagram shows two towns, $A$ and $B$, on a map.
Measure the bearing of $B$ from $A$.

10.
Theory 2 Marks
CH3 - Functions

Complete the mapping diagram.


11.
Theory 2 Marks
CH4 - Coordinate geometry

The diagrams A, B, C and D each show the graph of a straight line.
Write down the letter of the diagram which shows the line
(a) $x = 3$, ............................................................. [1]
(b) $y = 2x - 1$. ............................................................. [1]


12.
Theory 2 Marks
CH7 - Mensuration

A circle has radius 3.5 cm.
Find the circumference of the circle.
Leave your answer in terms of $\pi$.

13.
Theory 1 Marks
CH3 - Functions

The diagram shows the graph of a function that has two asymptotes.
The equation of one asymptote is $y = 0$.
On the diagram, draw the other asymptote.

14.
Theory 1 Marks
CH2 - Algebra

Factorise $4p - 14$.

15.
Theory 1 Marks
CH3 - Functions

f(x) = \frac{1}{3}x^2
Find f(-6)

16.
Theory 2 Marks
CH8 - Trigonometry

Use the information to work out the value of $x$.



The diagram shows a right-angled triangle with an angle of $40^{\circ}$, a hypotenuse of $10 \text{ m}$, and an adjacent side labeled as $x \text{ m}$. The table provides trigonometric values:

[Table_1]

| $\sin 40^{\circ}$ | $\cos 40^{\circ}$ | $\tan 40^{\circ}$ |
|---|---|---|
| 0.643 | 0.766 | 0.839 |

Calculate $x$ using the appropriate trigonometric ratio.

17.
Theory 2 Marks
CH11 - Statistics

The marks of 200 students in a mathematics test are recorded in the table below.
[Table_1]
Complete the following cumulative frequency table.
[Table_2]

18.
Theory 2 Marks
CH10 - Probability

A bag contains 5 red balls and 3 green balls. Two balls are chosen at random. Complete the diagram.
First ball
$\frac{5}{8}$ Red ---------------------------------- $\cdots\cdots\cdots\cdots\cdots\cdots$
$\cdots\cdots\cdots\cdots\cdots\cdots$ Green
Second ball
$\cdots\cdots\cdots\cdots\cdots\cdots$
$\frac{3}{7}$ Red
$\frac{5}{7}$ Green
$\cdots\cdots\cdots\cdots\cdots\cdots$
Red
Green

19.
Theory 4 Marks
CH2 - Algebra

Solve the simultaneous equations.

$5x + 2y = 1$
$2x + 3y = 7$

$x = \text{........................}$
$y = \text{........................}$ [4]

20.
Theory 3 Marks
CH5 - Geometry

The interior angle of a regular polygon is 160°.
Find the number of sides of the polygon.

21.
Theory 5 Marks
CH9 - Sets

U = \{ x | 3 \le x \le 10, \text{ where } x \text{ is an integer} \}
A = \{ x | x \text{ is a multiple of 3 or 5} \}
B = \{ x | 3x + 2 < 20 \}

(a) List the members of set $B$.
\{ \text{...............................................} \} [2]

(b) Complete the Venn diagram.
[2]

(c) List the members of $A \cap B$.
\{ \text{...............................................} \} [1]