All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2016 Summer Zone 1
Theory
MCQ
01.
Theory 1 Marks
CH1 - Number

Shade \( \frac{2}{3} \) of this shape.

02.
Theory 2 Marks
CH5 - Geometry

Draw a sector inside this circle.
Draw a chord inside this circle.

03.
Theory 2 Marks
CH1 - Number

Write down all the factors of 21.

04.
Theory 2 Marks
CH1 - Number

Work out.

(a) $16 + 8 \times 4$ ....................................................... [1]

(b) $16 - 8 \div 4$ ....................................................... [1]

05.
Theory 1 Marks
CH3 - Functions

Complete the mapping diagram.


06.
Theory 2 Marks
CH1 - Number

Jenny shares $40 between her two sons in the ratio 3:1.
Work out how much each son receives.
$ ......................... and $ .........................

07.
Theory 2 Marks
CH5 - Geometry

Tick the shapes that have both line symmetry and rotational symmetry.
[Image_1: Shapes labeled Rectangle, Kite, Parallelogram, Rhombus, Isosceles Triangle]

08.
Theory 3 Marks
CH7 - Mensuration

The diagram shows a child’s solid building block in the shape of a cuboid 2 cm by 5 cm by 10 cm.
Find the total surface area of the cuboid. ............................................................. cm^2

09.
Theory 2 Marks
CH2 - Algebra

Write down the next two terms in the sequence.
18, 18, 16, 12, 6, ...

10.
Theory 6 Marks
CH9 - Sets

The Venn diagram shows two sets $A$ and $B$.
$U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$
[Image_1: Venn diagram]
(a) Complete the following.
(i) $A = \{ \text{..............................................................} \}$ [1]
(ii) $B' = \{ \text{..............................................................} \}$ [1]
(iii) $A \cap B = \{ \text{..........................................................} \}$ [1]
(b) What is the mathematical name given to the numbers in set $A$?
\text{.................................................................} [1]
(c) Circle the statements which are correct for this Venn diagram.
$A \cup B = U \quad \boxed{7 \notin A} \quad n(B) = 4 \quad A \cap B' = \{4\}$ [2]

11.
Theory 3 Marks
CH5 - Geometry

Find the value of $r$.


12.
Theory 2 Marks
CH1 - Number

A car travels 100 metres in 8 seconds. Find its speed in kilometres per hour. .................................................. km/h

13.
Theory 2 Marks
CH3 - Functions

Describe the single transformation that maps $y = f(x)$ onto $y = f(x) + 3$.

14.
Theory 1 Marks
CH10 - Probability

An archer hits the target with probability $\frac{7}{10}$.
He takes 50 shots at the target.
How many times does he expect to hit the target?

15.
Theory 2 Marks
CH1 - Number

Write down all the integers that satisfy the following inequality.
$$-3 \leq x < 2$$

16.
Theory 4 Marks
CH2 - Algebra

(a) Factorise.
(i) $3x + 6$ [1]
..............................................................
(ii) $p^2 + pq$ [1]
..............................................................
(b) Expand the brackets and simplify. $x - 3(2x - 7)$ [2]
..............................................................

17.
Theory 3 Marks
CH2 - Algebra

Solve the following simultaneous equations.

$2x + y = 8$
$3x + 2y = 12$

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

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