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

Write down the square root of 36.

02.
Theory 2 Marks
CH1 - Number

From the list of numbers write down
(a) the triangle number, ............................... [1]
(b) the even number. ............................... [1]
Numbers given are: 9, 11, 15, 22, 27, 33

03.
Theory 1 Marks
CH1 - Number

Work out $\frac{4}{7}$ of 42. .................................................... [1]

04.
Theory 1 Marks
CH1 - Number

Insert one pair of brackets to make this statement correct. $3 - 2 \times 5 + 1 = 6$

05.
Theory 1 Marks
CH5 - Geometry

Measure angle $x$.


06.
Theory 2 Marks
CH5 - Geometry


Complete the statements.

Diagram .................... shows perpendicular lines.
Diagram .................... shows a reflex angle.

07.
Theory 1 Marks
CH5 - Geometry

Find the perimeter of this rectangle.
......................... cm [1]

08.
Theory 3 Marks
CH5 - Geometry

(a) Complete the diagram above so that the dotted line is a line of symmetry. [1]
(b) (i) On the grid, plot and label the point $C(3, 1)$. Join the points to form triangle $ABC$. [1]
(ii) A shape is made from two congruent triangles $ABC$ and $ABD$. The shape has rotational symmetry of order 2 and no lines of symmetry. On the grid draw triangle $ABD$. [1]

09.
Theory 3 Marks
CH1 - Number

Look at this train timetable.
[Table]

(a) A train goes from Bunley to Tim Spa without stopping.

Write down the time this train leaves Bunley.

.................................................. [1]

(b) Find which train takes the longest time to travel from Bunley to Wester.

.................................................. [2]

10.
Theory 2 Marks
CH5 - Geometry

The diagram shows a triangle $ABC$ and a straight line $BD$.
Find the size of angle $x$.

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

11.
Theory 1 Marks
CH1 - Number

Change 45 g into kilograms. \text{...............................} \text{kg} [1]

12.
Theory 1 Marks
CH2 - Algebra

Simplify:
$$4m + m - 3m$$

13.
Theory 2 Marks
CH1 - Number

A = \{x \mid x \text{ is a factor of 30 and } x \leq 10\}
List the elements of set A. \{ \text{.....................} \}

14.
Theory 3 Marks
CH11 - Statistics

These are the marks of 11 students in a mathematics test.

23 43 17 8 21 23 41 6 15 11 34

Draw an ordered stem and leaf diagram for these marks.

[Image_1: Stem and Leaf template]

Key ....... | ....... represents ...............

15.
Theory 1 Marks
CH1 - Number

A cyclist travels 120 km in 6 hours.

Calculate his average speed. ......................... km/h [1]

16.
Theory 1 Marks
CH1 - Number

$4^3 = 64$
Find the value of $4^4$.

17.
Theory 1 Marks
CH2 - Algebra

Factorise $2x^2 + 5x$.

18.
Theory 1 Marks
CH8 - Trigonometry


Put a ring around the correct expression for the distance $x$.
30 tan 37°
30 sin 53°
30 cos 53°
30 cos 37°

19.
Theory 3 Marks
CH7 - Mensuration

The diagram shows a pyramid with vertical height 30 cm. The horizontal base of the pyramid is a square with side 7 cm.
Work out the volume of the pyramid.
................................... cm$^3$

20.
Theory 2 Marks
CH8 - Trigonometry

The bearing of Town X from Town Y is 045°.
Find the bearing of Town Y from Town X.

21.
Theory 1 Marks
CH3 - Functions

f(x) = (x + 2)(x - 1)
Work out f(5).

22.
Theory 4 Marks
CH6 - Vectors and transformations

(a) On the grid, draw the image of shape A after an enlargement by scale factor 2 about centre C. [2]
(b) Shape $S$ is the image of a shape after a translation by the vector $\begin{pmatrix} 2 \\ 3 \end{pmatrix}$.
On the grid, draw the original shape. [2]

23.
Theory 2 Marks
CH11 - Statistics

The cumulative frequency table shows the marks, $x$, of 100 students in a science test.

[Table_1]

Mark $(x)$ | Cumulative Frequency
0 < $x \leq$ 20 | 18
0 < $x \leq$ 40 | 54
0 < $x \leq$ 60 | 78
0 < $x \leq$ 80 | 100

On the grid, draw a cumulative frequency curve to show this information.