All Questions: Cambridge IGCSE Mathematics - International - 0607 - Advanced Paper 2 2017 Winter Zone 3
Theory
MCQ
01.
Theory 1 Marks
CH1 - Number

27 39 49 51 53 55 58
From this list write down the prime number.

02.
Theory 2 Marks
CH6 - Vectors and transformations

A is the point (1, 3) and B is the point (4, 9).
Find \( \overrightarrow{AB} \).
\( \overrightarrow{AB} = \left( \begin{array}{c} \text{ } \end{array} \right) \) [2]

03.
Theory 2 Marks
CH5 - Geometry


AB = AC.
Find the value of x.
x = ................................................

04.
Theory 2 Marks
CH1 - Number

$144 is shared in the ratio 1 : 7.
Find the value of the smaller share.
$ \text{............................................} \ [2]$

05.
Theory 3 Marks
CH1 - Number

Ciara buys 6 red pens and 4 blue pens for a total cost of $3.90.
Blue pens cost $0.45 each.

Find the cost of one red pen.

$\text{.....................}$ [3]

06.
Theory 2 Marks
CH1 - Number

Write each number in standard form.
(a) 58000 .............................................................. [1]
(b) 0.00809 .............................................................. [1]

07.
Theory 3 Marks
CH5 - Geometry

The interior angle of a regular polygon is 160°.
Find the number of sides of this polygon.

08.
Theory 3 Marks
CH2 - Algebra

Solve the equation.

$45 - \frac{90}{x} = 15$

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

09.
Theory 2 Marks
CH1 - Number

The mean of two numbers is 46.
The difference between the two numbers is 12.
Find the two numbers. ........................ and ....................... [2]

10.
Theory 3 Marks
CH2 - Algebra

Solve the equation.
$x^2 - 5x - 24 = 0$
$x = \text{.....................}$ or $x = \text{.....................}$ [3]

11.
Theory 2 Marks
CH2 - Algebra

Rationalise the denominator and simplify your answer.
$$\frac{32}{\sqrt{8}}$$

12.
Theory 2 Marks
CH7 - Mensuration

The volume of a sphere is $\frac{32}{3\pi}$ cm$^3$.
Find the radius of the sphere.

13.
Theory 4 Marks
CH4 - Coordinate geometry

A is the point (1, 8) and B is the point (5, 0). Find the equation of the perpendicular bisector of AB in the form $y = mx + c$. \[y = \text{...........................................} \text{ [4]}\]

14.
Theory 3 Marks
CH2 - Algebra

Rearrange the formula to make $x$ the subject.
$A = \frac{3x}{2x - 5}$
$x = \text{..................................................}$

15.
Theory 3 Marks
CH2 - Algebra

Factorise completely.

$5x^2 - 12y^2$

16.
Theory 3 Marks
CH10 - Probability

The probability that it rains today is 0.3. If it rains today, the probability that it will rain tomorrow is 0.4. If it does not rain today, the probability that it will rain tomorrow is 0.15. Find the probability that it will rain tomorrow.