All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2022 Winter Zone 1
Theory
MCQ
01.
Theory 1 Marks
CH1 - Number

Work out how many days there are in 12 weeks. ................................. days

02.
Theory 1 Marks
CH1 - Number

Write 6847 correct to the nearest hundred.

03.
Theory 1 Marks
CH5 - Geometry

!(attachment:image_circle.png)
On the circle, centre $O$, draw a radius.

04.
Theory 1 Marks
CH1 - Number

Find 10\% of 950.

05.
Theory 1 Marks
CH1 - Number

Draw Pattern 2 in this sequence.

Pattern 1
Pattern 2
Pattern 3
Pattern 4

06.
Theory 1 Marks
CH3 - Functions

Complete the mapping diagram.


07.
Theory 1 Marks
CH2 - Algebra

Simplify.
$12f - 2f + 4f$

08.
Theory 2 Marks
CH1 - Number

In a class of 42 students, $\frac{2}{7}$ are girls.
Work out the number of boys in the class.

09.
Theory 1 Marks
CH1 - Number

Write down the integer that is nearest to \( \sqrt{39} \).

10.
Theory 1 Marks
CH2 - Algebra

Work out. $$(10 - 15) \times -4$$

11.
Theory 5 Marks
CH11 - Statistics

The marks for 19 students in a test are recorded below.
72 84 75 100 87 95 81 72 90 89
98 87 74 100 79 85 91 76 93

(a) Complete an ordered stem-and-leaf diagram.

$$\begin{array}{c|c} \text{7} & \text{} \\ \hline \text{8} & \text{} \\ \hline \text{9} & \text{} \\ \hline \text{10} & \text{} \end{array}$$
Key ............ | ............ represents ................
[3]

(b) How many students scored less than 84?
...................................................... [1]

(c) Write down the median.
...................................................... [1]

12.
Theory 1 Marks
CH3 - Functions

h(x) = \frac{5x - 1}{2}
Work out h(2).

13.
Theory 2 Marks
CH1 - Number

Work out.
$\frac{2}{5} + \frac{9}{20}$

14.
Theory 1 Marks
CH2 - Algebra

Simplify.
$\frac{y}{y}$ .......................................... [1]

15.
Theory 2 Marks
CH5 - Geometry

The diagram shows a triangle of base 20 cm and height 3 cm attached to a rectangle with sides of length 20 cm and 12 cm.

Find the total area of the shape.

............................................ \text{cm}^2

16.
Theory 2 Marks
CH9 - Sets

U= \{3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}
M = \{\text{multiples of 3}\}
(a) Complete the Venn diagram.

[1]
(b) Write down n(M).
[1]

17.
Theory 2 Marks
CH4 - Coordinate geometry

Find the equation of the line parallel to the line $y = 2x + 5$ that passes through the point $(0, -3)$.
y = ............................................. [2]

18.
Theory 2 Marks
CH6 - Vectors and transformations

Describe fully the \textbf{single} transformation that maps triangle $D$ onto triangle $E$.


19.
Theory 2 Marks
CH10 - Probability

A fair 6-sided die is numbered 1, 2, 3, 4, 5 and 6. The die is thrown twice.
Find the probability that the die lands on 4 both times.

20.
Theory 1 Marks
CH1 - Number

Find the highest common factor (HCF) of 26 and 78.

21.
Theory 2 Marks
CH2 - Algebra

Solve.
$5x + 7 \geq -3$ .............................................. [2]

22.
Theory 2 Marks
CH2 - Algebra

These are the first five terms in a sequence.

-2   2   6   10   14

Find the $n^{th}$ term.

23.
Theory 3 Marks
CH1 - Number

Idris runs at an average speed of 5 m/s.
Find how long he takes to run 3 km.
............................... seconds [3]

24.
Theory 2 Marks
CH2 - Algebra

Solve the simultaneous equations.

$x - 2y = 4$
$x + 3y = -1$

$x = \text{....................................}$
$y = \text{....................................}$ [2]