All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2022 Summer Zone 2
Theory
MCQ
01.
Theory 1 Marks
CH1 - Number

Change $1 \frac{1}{2}$ years into months. \ ...................... months [1]

02.
Theory 1 Marks
CH1 - Number

Write $\frac{10}{100}$ as a percentage. \text{...............................\%} [1]

03.
Theory 2 Marks
CH1 - Number

Suzy hires a car for 5 days.
It cost $35 for the first day and $20 for each extra day.
Work out the total amount Suzy pays.
$..........................................

04.
Theory 1 Marks
CH1 - Number

Change 57 kilograms into grams. $\text{............................ g [1]}$

05.
Theory 3 Marks
CH11 - Statistics

These are the scores of 7 students in a spelling test.
12 8 9 7 13 10 11
(a) Work out the range. ................................................................ [1]
(b) Work out the mean. ................................................................ [2]

06.
Theory 2 Marks
CH10 - Probability

A drawer contains 40 socks. 15 socks are black, 5 socks are grey and 20 socks are white. Samir chooses one sock from the drawer at random.
(a) Write down the colour of sock he is most likely to choose. [1]
(b) Find the probability that the sock is not black. [1]

07.
Theory 1 Marks
CH1 - Number

Work out.
$5 - (-2)$

08.
Theory 2 Marks
CH11 - Statistics

120 people were asked what type of car they own. The results are shown in the pie chart.
[Image_1: Pie chart showing categories of Hybrid, Petrol, Diesel, Electric]
Work out how many people own an electric car.

09.
Theory 2 Marks
CH5 - Geometry

A rectangle measures 10 cm by 30 cm. It is enlarged by a scale factor of 3.
Work out the size of the new rectangle.
...................... cm by ...................... cm

10.
Theory 1 Marks
CH1 - Number

Work out the value of $2^6$.

11.
Theory 1 Marks
CH4 - Coordinate geometry

Find the coordinates of the mid-point of the line joining the points (0, 0) and (4, 6).
(.............., ..................)

12.
Theory 2 Marks
CH7 - Mensuration

A circle has circumference $16\pi$ cm.
Find the radius of this circle.
\underline{\phantom{..........................................}} \text{ cm}

13.
Theory 1 Marks
CH3 - Functions

f(x) = 3 + x^2
Work out f(5).

14.
Theory 2 Marks
CH6 - Vectors and transformations

Reflect the shape in the line $y = 1$.

15.
Theory 2 Marks
CH1 - Number

Find the lowest common multiple (LCM) of 12 and 30.

16.
Theory 3 Marks
CH9 - Sets

A = \{\text{square numbers less than 20}\}
B = \{\text{multiples of 4 less than 20}\}
List the elements of $A \cap B$ and $A \cup B$.
$A \cap B$ = .........................
$A \cup B$ = ............................................

17.
Theory 2 Marks
CH10 - Probability

A bag contains 5 red balls and 3 blue balls. Magda takes one ball at random out of the bag, notes the colour, and replaces it. She then takes another ball at random out of the bag and notes the colour.
Complete the tree diagram.
[Image_1: Tree diagram with probabilities and branches indicating selections from balls]

18.
Theory 2 Marks
CH2 - Algebra

Simplify.
$$ \frac{6b}{a} \cdot \frac{2b}{ac} $$

19.
Theory 1 Marks
CH5 - Geometry

C is the centre of a circle.
A$B$ is a tangent to the circle at $B$.
Write down the value of angle $ABC$.

Angle $ABC$ = ............................................ [1]

20.
Theory 2 Marks
CH1 - Number

A young goat is weighed.
The mass of the goat is 5 kg.
The next time it is weighed, its mass is 7 kg.
Work out the percentage increase in the mass of the goat.

21.
Theory 2 Marks
CH2 - Algebra

Expand and simplify.
\[2(2x-1)+3(3-x)\]
.......................................... [2]

22.
Theory 1 Marks
CH1 - Number

Write 0.00274 in standard form.

23.
Theory 3 Marks
CH2 - Algebra

Solve the simultaneous equations.
$$2a + 6b = 22$$
$$-a + 7b = 9$$
$$a = \text{.................................}$$
$$b = \text{........................................}$$