Entrance test for
Westminster International University in Tashkent
Mathematics
March 2015
Time allowed: One hour ten minutes
Answer all questions.
It is advised that you work quickly and that you leave behind
questions that are taking you too long to answer.
You should only bring in: pens, pencils, erasers, rulers,
protractors.
No calculators are allowed.
All your working must be presented. Answers with no
evidence of calculations will not score any marks.
Write your answers in the spaces below the questions.
Nothing should be removed from the exam room.
Candidate Name:
All questions on this paper must be answered.
Write the answers in the space below each question.
Show
ALL
working for each question.
1.
In this diagram C is the centre of the circle and PT is a tangent to the circle.
CT = 5 cm and PT = 12 cm.
What is the length of CP?
Total 4 marks
2. The length of the shadow of an object at noon (12:00) is directly proportional to
the height of the object. A lamppost of height 5.0m has a shadow of length 2.0m at
noon.
Work out the length of the shadow at noon of a woman of height 1.6m.
Total 4 marks
3
.
There are 5 x 10
9
red blood cells in 1ml of blood.
Calculate in standard form the number of red blood cells in 3.25 litres of blood.
Total 5 marks
4. Mansoor is p years of age.
a)
(2 marks)
b) Write down an equation in p to show this information.
(2 marks)
c)
(2 marks)
Total 6 marks
5. Solve these equations
a)
(3 marks)
b)
(3 marks)
Total 6 marks
6. The diagram shows a garden in the shape of a rectangle.
All measurements are in meters.
The perimeter of the garden is 40 meters.
Work out the length of the shorter side
Total 5 marks
7.
Max and Aziz cycle around a cycle track.
Each lap Max cycles takes him 21 seconds.
Each lap Aziz cycles takes him 35 seconds.
Max and Aziz start cycling at the same time from the start line.
Work out how many laps they will each have cycled when they are next at the start line
together.
Total 2 marks
8. Solve these simultaneous equations
a)
г хн їІј г
о
х н
(4 marks)
b)
г к
о
їІј г м х п
(4 marks)
c) Solve
н х о г й
м
н г уо
(2 marks)
Total 10 marks
9.(a)
n the grid, draw the parabola of y = x + 2 clearly showing the minimum point.
(3 marks))
(b) Use the same axes and draw the line of y= 2x +5
(3 marks)
(c) From the graphs, find the values of x and y that satisfy these equations:
y= x +2 and y = 2x + 5
marks)
marks)
Total 10 marks
10. The normal price of a laptop is reduced (lowered) by 25% in a sale.
The sale price of the laptop is $270.
Work out the normal price of the laptop.
Total 3 marks
11. The nth term of a number sequence is (
).
a) Find the values of the first four terms of this sequence.
(2 marks)
b) Find the value of the 10
th
term of this sequence.
(1 mark)
c)What is the eleventh term of the geometric sequence 3, 6, 12, 24.... ?
(3 marks)
Total 6 marks
12. The diameter of a bicycle wheel is 67 cm.
a) Work out the circumference of the wheel.
(Use 3.14 as the value
(2 marks)
b) Work out the distance the bicycle travels when the wheel makes 300 complete
turns. Give your answer in meters.
(3 marks)
Total 5 marks
13. The table shows some exchange rates.
1 is worth 1.80 American
dollars
1 is worth 200 Japanese yen
Shoira buys a camera in America and pays 270 dollars. Sherzod buys a similar
camera in Japan and pays 20 000 yen. In which country is the camera cheaper and
by how much? Give your answer in GBP
( ).
Total 4 marks
END OF TEST
Do'stlaringiz bilan baham: |