All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2018 Winter Zone 3
Theory
MCQ
01.
Theory 1 Marks
CH1 - Number

Write the number 51 025 in words.

02.
Theory 1 Marks
CH1 - Number

Write down two factors of 12.

03.
Theory 1 Marks
CH1 - Number

Work out.
$7 + \frac{14}{7} - 3$

04.
Theory 1 Marks
CH1 - Number

Work out 5% of 100.

05.
Theory 2 Marks
CH1 - Number

Paulo and his sister share 35 sweets in the ratio 4 : 3. Paulo keeps the larger share.
How many sweets does Paulo keep?

06.
Theory 2 Marks
CH5 - Geometry

Find the value of $x$.
$$x = \text{.....................}$$

07.
Theory 2 Marks
CH11 - Statistics

continuous cumulative discrete random
Wendi is collecting data on apples.
Which of the words in the box above describes the following type of data.
(a) The number of apples on a tree. .............................................. [1]
(b) The weight of an apple. ...................................................... [1]

08.
Theory 4 Marks
CH11 - Statistics

Here are the test scores of five students.
13 \hspace{1cm} 16 \hspace{1cm} 14 \hspace{1cm} 19 \hspace{1cm} 13

(a) Write down the mode. .............................. [1]

(b) Work out the range. .............................. [1]

(c) Work out the mean. .............................. [2]

09.
Theory 3 Marks
CH11 - Statistics

A biased die is rolled 200 times and the number on the top face is recorded.
The results are shown in the table.

[Table_1: | Number on the top face | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 21 | 26 | 19 | 84 | 27 | 23 |]

(a) Write down the relative frequency of rolling a 2. ................................................ [1]

(b) The die is rolled 1000 times.
Work out an estimate of the number of times the top face shows 4. ................................................ [2]

10.
Theory 1 Marks
CH5 - Geometry

Complete the statement.

A quadrilateral with exactly one pair of parallel sides is called a \text{..............................}.

11.
Theory 2 Marks
CH7 - Mensuration

The volume of this cuboid is $6000 \text{ cm}^3$.
The length of the cuboid is $30 \text{ cm}$ and the width of the cuboid is $10 \text{ cm}$.

Find $h$, the height of the cuboid.

............................................ cm

12.
Theory 3 Marks
CH8 - Trigonometry

Alex starts from point $A$ and walks on a bearing of $030^\circ$ to point $B$. He then walks East to point $C$.
Find the bearing of
(a) $B$ from $C$, ................................................ [1]
(b) $A$ from $B$. ................................................ [2]


13.
Theory 1 Marks
CH1 - Number

Find the highest common factor (HCF) of 12 and 30.

14.
Theory 1 Marks
CH1 - Number

Write 134.6 in standard form.

15.
Theory 2 Marks
CH2 - Algebra

The $n^{th}$ term of a sequence is $n^2 - 3$.
Write down the first three terms.

16.
Theory 1 Marks
CH2 - Algebra

Factorise.

$x^2 - 5x$

17.
Theory 2 Marks
CH4 - Coordinate geometry

A line has equation $3x + 2y = 6$.
Write the equation of this line in the form $y = mx + c$.
$y = \text{...................................}$

18.
Theory 2 Marks
CH9 - Sets

U = \{ x \mid x \text{ is an integer and } 1 \leq x < 5 \}
A' = \{ 2, 4 \}
(a) Write down the elements of the universal set.
\{ \text{.....................} \} \ [1]
(b) Write down the elements of the set A.
\{ \text{.....................} \} \ [1]

19.
Theory 2 Marks
CH3 - Functions

The diagram shows the graph of $y = f(x)$.
Write down the equations of the two asymptotes.

20.
Theory 1 Marks
CH3 - Functions

Complete the statement.

The graph of $y = g(x)$ is translated by the vector $\begin{pmatrix} 2 \\ 0 \end{pmatrix}$ onto the graph of $y = \text{.....................}$ [1]

21.
Theory 2 Marks
CH8 - Trigonometry

Write down the value of
(a) $\sin x^\circ$, ........................................................ [1]
(b) $\tan y^\circ$. ........................................................ [1]


22.
Theory 3 Marks
CH5 - Geometry

The diagram shows a chord of length 16 cm inside a circle centre $O$, radius 10 cm.
Work out the length $x$.