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

Work out.

$6 + 24 \div 3$
\text{..............................} \text{[1]}

02.
Theory 2 Marks
CH1 - Number

By rounding each number to one significant figure, estimate the value of $3.17 \times 4.8$.

03.
Theory 1 Marks
CH1 - Number

Work out $\frac{2}{3}$ of 21.

04.
Theory 1 Marks
CH1 - Number

Find 20\% of 200.

05.
Theory 1 Marks
CH1 - Number

Write down a square number between 12 and 18.

06.
Theory 2 Marks
CH1 - Number

(a) Write $2 \times 2 \times 2$ as a power of 2.
............................... [1]
(b) Work out $3^2$.
............................... [1]

07.
Theory 1 Marks
CH7 - Mensuration

The diagram shows a triangle on a $1 \text{ cm}^2$ grid.
Find the area of the triangle.
..................................................... $\text{cm}^2$ [1]


08.
Theory 2 Marks
CH7 - Mensuration

The length of this rectangle is 9 cm.
The perimeter of this rectangle is 30 cm.
Work out the width of this rectangle.


09.
Theory 2 Marks
CH1 - Number

1 kg of bananas and 2 kg of pears cost $5.95 in total. Pears cost $1.80 per kilogram.
Work out the cost of 1 kg of bananas.
$ ext{.........................} [2]

10.
Theory 2 Marks
CH1 - Number

Find the lowest common multiple (LCM) of 12 and 16.

11.
Theory 2 Marks
CH4 - Coordinate geometry

(a) Write down the co-ordinates of point A. (...........................,..........................) [1]
(b) Plot the point (-3, 1). Label this point B. [1]


12.
Theory 2 Marks
CH5 - Geometry


Find the values of $x$ and $y$.
$x = \text{.................................}$
$y = \text{.................................}$

13.
Theory 2 Marks
CH4 - Coordinate geometry

The point $P$ has co-ordinates $(2, 12)$ and the point $Q$ has co-ordinates $(10, 8)$.
Find the co-ordinates of the midpoint of $PQ$.
(\text{....................., .....................})

14.
Theory 4 Marks
CH11 - Statistics

The list shows the mark for each of ten students in an examination.
7 9 5 5 8 2 6 4 4 9
(a) Find the median. ............................................. [2]
(b) Find the mean. ............................................ [2]

15.
Theory 2 Marks
CH9 - Sets

A = \{2, 3, 4, 5, 6, 7\}
B = \{2, 3, 5, 8\}

(a) Write down n(A). .......................................... [1]

(b) Write down the elements of $A \cup B$. \{ .......................................... \} [1]

16.
Theory 1 Marks
CH4 - Coordinate geometry

The equations of some straight lines are shown below.

$x = 4$   $y = 3x - 3$   $y = 4x - 3$
$y = 4x + 7$   $y = 4$   $y = -3x - 3$

Write down the equations of the two lines that are parallel.
............................ and ............................ [1]

17.
Theory 2 Marks
CH6 - Vectors and transformations

On the grid, draw the image of triangle $A$ after a reflection in the line $y = 1$.

18.
Theory 2 Marks
CH3 - Functions

Describe the single transformation that maps $y = f(x)$ onto $y = f(x) - 2$.

19.
Theory 2 Marks
CH3 - Functions

f(x) = x^2 + 3
Find the range of f(x) when the domain is \{-2, 0, 2, 3\}.
\{ ..................... \}

20.
Theory 2 Marks
CH2 - Algebra

Simplify fully.
$$ \frac{2e}{5} \times \frac{f}{3e} $$
\text{.....................}

21.
Theory 2 Marks
CH1 - Number

Write down all integer values of \( x \) that satisfy
\(-3 < x \leq 1\).

22.
Theory 2 Marks
CH2 - Algebra

Solve the simultaneous equations.
$$\begin{align} 5x - y &= 7 \\ 4x - y &= 5 \end{align}$$
x = ....................................................
y = ....................................................