All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2018 Summer Zone 1
Theory
MCQ
01.
Theory 2 Marks
CH1 - Number

From the list of numbers write down

(a) a common factor of 9 and 18, ...................................................... [1]

(b) a common multiple of 6 and 12. ...................................................... [1]

List of numbers: 3, 6, 12, 15, 18, 36

02.
Theory 1 Marks
CH1 - Number

Work out $\frac{3}{10}$ of 120.

03.
Theory 1 Marks
CH1 - Number

Write down the value of $\sqrt[3]{64}$.

04.
Theory 1 Marks
CH1 - Number

Write down a prime number between 20 and 30.

05.
Theory 1 Marks
CH1 - Number

Insert one pair of brackets to make this calculation correct. $5 + 10 \times 3 - 1 = 25$

06.
Theory 1 Marks
CH5 - Geometry

Write down the number of lines of symmetry of this sector.

07.
Theory 3 Marks
CH11 - Statistics

The table shows the number of students in each year group at a school.

[Table_1]

Write down

(a) the number of boys in Year 4, ................................................. [1]

(b) the total number of students in Year 2, ................................................ [1]

(c) the year group in which there are more boys than girls. ................................................ [1]

08.
Theory 2 Marks
CH11 - Statistics

Adele is collecting data about the people who live in Paris.
(a) Write down a type of discrete data that Adele could collect. ............................................................. [1]
(b) Write down a type of continuous data that Adele could collect. ............................................................. [1]

09.
Theory 1 Marks
CH5 - Geometry


The diagram shows a circle, centre $O$, and a straight line $AB$.
Write down the mathematical name of the line $AB$.

10.
Theory 1 Marks
CH5 - Geometry


Write down the letters for all the shapes that are congruent.

11.
Theory 1 Marks
CH1 - Number

Use one of the symbols $>$, $<$ or $=$ to make the following statement correct.
$$\frac{7}{25} \text{.....................} \frac{1}{5}$$

12.
Theory 2 Marks
CH2 - Algebra

Simplify.
$5e - 4f - e + 3f$

13.
Theory 2 Marks
CH11 - Statistics

The table shows the favourite football team of each of 30 students.

[Table_1]

Paula draws a pie chart to show this information.
Work out the sector angle for Liverpool.

14.
Theory 5 Marks
CH4 - Coordinate geometry

The diagram shows a point A and the line $y = \frac{3}{2}x + 3$.

(a) Write down the co-ordinates of point A.
(\text{...................., ....................}) [1]

(b) Plot and label the point $B(-1, -3)$. [1]

(c) Draw the line $x = 4$. [1]

(d) Write down the co-ordinates of the point where the line $y = \frac{3}{2}x + 3$ crosses the x-axis.
(\text{...................., ....................}) [1]

(e) Write down the gradient of the line $y = \frac{3}{2}x + 3$.
\text{..............................................} [1]


15.
Theory 5 Marks
CH6 - Vectors and transformations

(a) Reflect triangle $P$ in the $y$-axis. Label the image $Q$. [1]
(b) Rotate triangle $P$ through $90^\circ$ clockwise about the origin. Label the image $R$. [2]
(c) Describe fully the single transformation that maps triangle $Q$ onto triangle $R$. [2]
.......................................................................................................................................

16.
Theory 2 Marks
CH9 - Sets


Write down the elements in $A \cap B'$. {\text{.....................}} [2]

17.
Theory 2 Marks
CH1 - Number

Omar runs at an average speed of 12 km/h.
Find the time he will take to run 18 km.
............................. hours [2]

18.
Theory 1 Marks
CH3 - Functions

f(x) = 5\sqrt{x}
Work out f(36).

19.
Theory 3 Marks
CH2 - Algebra

(a) Solve the equation.
$5x = 35$
$x = \text{.................................}$ [1]

(b) Solve the equation.
$5(y - 7) = 10$
$y = \text{.................................}$ [2]

20.
Theory 3 Marks
CH2 - Algebra

Solve the simultaneous equations.

\(x - 2y = 1\)
\(3x + y = 10\)

\(x = \text{.............................}\)
\(y = \text{.............................}\) [3]