IGCSE Edexcel Paper 4H June 2014 Quiz

1) In the 2012 Paralympic Games, the total number of gold and silver medals won by Brazil
was 35
The ratio of the number of gold medals that Brazil won to the number of silver medals
that Brazil won was 3 : 2
How many silver medals were won by Brazil?

2) Sarah has a biased 4-sided spinner.
The spinner can land on 1, 2, 3 or 4
The probability that the spinner will land on 1, 2 or 4 is given in the table.

(a) Work out the probability that the spinner will land on 3

Ryan is going to spin the spinner 80 times.
(b) Work out an estimate for the number of times he should expect the spinner to land on 2.

3)

(a) A circle has a radius of 7.6 cm.
Work out the area of the circle.
Give your answer correct to 3 significant figures.

The radius, 7.6 cm, is correct to 1 decimal place.
(b) (i) Write down the upper bound of the radius.

(ii) Write down the lower bound of the radius.

4) In a sale, all normal prices are reduced by 15%.
(a) The normal price of a washing machine is 270 dollars.
Work out the sale price of the washing machine.

(b) The normal price of a food processor is reduced by 13.50 dollars.
Work out the normal price of the food processor.

5) Work out the size of each exterior angle of a regular polygon with 15 sides.

6) Jalin lives in England.
He does a search on the internet and sees the same type of camera on sale in
France and in America.
In France, the camera costs 126 euros.
In America, the camera costs $165.24
Jalin finds out these exchange rates.

How much cheaper is the camera in America than in France?
Give your answer in pounds (£).

7) Use ruler and compasses to construct the bisector of angle ABC.
You must show all your construction lines.

8)

Calculate the length of AC.
Give your answer correct to 3 significant figures.

9) (a) Solve 7x - 6 = 2x + 17
Show clear algebraic working.

(b) Expand and simplify fully (x + 8)(x + 2)

10) The table shows information about the times, in minutes, taken by 50 people to get to
work.

Work out an estimate for the mean time taken to get to work.

11 (a) Complete the table of values for y = x² + 2x - 3

(b) On the grid, draw the graph of y = x² + 2x - 3 for values of x from -4 to 2.

12) The diagram shows triangle ADC.



E is a point on AD and B is a point on AC so that EB is parallel to DC.
AB = 14 cm.
EB = 16 cm.
DC = 20 cm.
Calculate the length of BC.

13) The line L passes through the points (0, -2) and (6, 1)
(a) Find an equation of the line L.

(b) Find an equation of the line that is parallel to L and which passes through
the point (4, -2)

14 (a) Write 1.2 × \[10^{-5}\] as an ordinary number.

(b) Work out 7.9 × \[10^{5}\] + 6 × \[10^{4}\]
Give your answer in standard form.

15) Solve the simultaneous equations
3x + 2y = 7
4x - 3y = 15
Show clear algebraic working.

16)

(a) P, Q and R are points on a circle, centre O.
Angle OPR = 36°
Work out the size of angle PQR.

(b) G, H, J and K are points on a circle.
KJ is a diameter of the circle.
Angle KGH = 124°
Work out the size of angle HKJ.

17) F is inversely proportional to the square of x.
F = 0.8 when x = 5
(a) Find a formula for F in terms of x.

(b) Work out the positive value of x when F = 320

18) (a) Solve 5x² - 6x - 2 = 0
Give your solutions correct to 3 significant figures.
Show your working clearly.

(b) Solve the inequality m\[\frac{m² + 3}{4}\] > 21
Show clear algebraic working.

19) Amberish plays two games of tennis.
Each time he plays a game of tennis, the probability that he will win is \[\frac{2}{7}\]
(a) Complete the probability tree diagram.

(b) Calculate the probability that Amberish wins at least one of the two games of tennis.

20) Use algebra to show that the recurring decimal 0.38 = \[\frac{7}{18}\]

21) A sphere has a surface area of 81π cm²
Work out the volume of the sphere.
Give your answer correct to 3 significant figures.

22) The table shows information about the times, in minutes, that 100 shoppers spent in a
supermarket.

Draw a histogram to show this information.

23)

ABCDEF is a triangular prism.
AB = 9 cm, BC = 15 cm and AE = 12 cm.
Angle ABC = 90°
M is the midpoint of CD.
Calculate the size of the angle between AM and the plane BCDF.
Give your answer correct to 1 decimal place.

24) Given that
 
express n in terms of x and y.

25 Simplify fully \[\frac{5}{2x - 6}\] - \[\frac{x + 2}{x² - 4x + 3}\]