COLOMBO
INTERNATIONAL SCHOOL 10
End of Year Examination A
June 2021
YEAR 10
~ MATHEMATICS – A ~
Paper 1
DATE: Friday 18th June 2021 TIME: 08.00 – 09.00 (1 hour)
NAME : CLASS :
0 NAME : (Place a tick in front of your teacher’s name)
TEACHER’S
Mrs. Dananji Chandradasa Mr. Suranjith Sanjeewa
Mr. Pasindu Sankalpa
Instructions to Candidates: Information for Candidates:
Use black ink or ball-point pen. The total mark for this paper is 50.
Answer all questions, in the spaces provided. There are 14 questions in this paper
Maintain an orderly presentation in your answers. There are 9 pages in this paper
Electronic calculators are permitted for this paper.
Advice for Candidates:
Read each question carefully before you start to answer it.
Check your answers if you have time at the end.
Without sufficient working, correct answers may be awarded no marks.
~ Good luck with your examination ~
1
Answer ALL FOURTEEN questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
9.5 3.7
1. Use your calculator to work out the value of
1.3 2.4
Write the value on the calculator display to three significant figures.
………………………….
(Total for Question 1 is 2 marks)
2. Solve 𝟕(𝟑𝒙 + 𝟏 ) = 𝟒𝟐
Write the answer in lowest terms.
………………………..
(Total for Question 2 is 3 marks)
5 1
3. Work out 8
6 18
Give your answer as a fraction in its simplest form.
………………………..
(Total for Question 3 is 3 marks)
2
4. (a) Factorise 𝟗𝒑 + 𝟏𝟓
………………………..
(1)
(b) Factorise 𝒒𝟑 − 𝟒𝒒
………………………..
(2)
(c) Factorise 𝒙𝟐 − 𝟑𝒙 − 𝟏𝟎
………………………..
(2)
(Total for Question 4 is 5 marks)
5. The probability that a person chosen at random has brown eyes is 0.55
The probability that a person chosen at random has green eyes is 0.14
(a) Work out the probability that a person chosen at random has either brown eyes or
green eyes.
………………………..
(2)
250 people are to be chosen at random.
(b) Work out an estimate for the number of people who will have green eyes.
………………………..
(2)
(Total for Question 5 is 4 marks)
3
6.
Quadrilaterals ABCD and LMNP are mathematically similar.
Angle A = angle L
Angle B = angle M
Angle C = angle N
Angle D = angle P
Work out the length of LP
………………………..
(Total for Question 6 is 3 marks)
7. n is a positive integer.
Find the set of possible values of n which satisfy the inequality 𝟐𝒏 − 𝟑 < 𝟓
………………………..
(Total for Question 7 is 3 marks)
4
8. The size of each exterior angle of a regular polygon is 90
(a) Work out how many sides the polygon has.
………………………..
(2)
(b) Work out the sum of the interior angles of the polygon.
………………………..
(2)
(Total for Question 8 is 4 marks)
√𝒑
9. Make p the subject of the formula 𝒉 =
𝒒
………………………..
(Total for Question 9 is 3 marks)
5
10. ABC is a triangle.
(a) Work out the area of triangle ABC.
Give your answer correct to 3 significant figures.
………………………..
(2)
(b) Work out the length of the side AB.
Give your answer correct to 3 significant figures.
………………………..
(3)
(Total for Question 10 is 5 marks)
6
11.The diagram shows a path around a pond.
The pond is in the shape of a rectangle with length 7 m and width 4 m.
The path is 3 m wide.
Nelson is going to cover the path with gravel.
One bag of gravel will cover 10 m2 of the path.
How many bags of gravel does Nelson need to buy?
You must show your working.
………………………..
(Total for Question 11 is 4 marks)
7
𝒙𝟐 −𝟏𝟔
12. Simplify
𝟐𝒙𝟐 −𝟓𝒙−𝟏𝟐
………………………..
(Total for Question 12 is 3 marks)
13. 𝝃 = {𝟏, 𝟐, 𝟑, 𝟒, 𝟓, 𝟔, 𝟕, 𝟖, 𝟗, 𝟏𝟎}
𝑨 = {𝟏, 𝟐, 𝟑, 𝟒, 𝟓, 𝟔}
𝑩 = {𝒐𝒅𝒅 𝒏𝒖𝒎𝒃𝒆𝒓𝒔}
(a) Find 𝒏(𝑨 ⋃ 𝑩)
………………………..
(1)
C is a set such that 𝑨 ∩ 𝑪 = {𝟒, 𝟓}
The set C has 4 members.
(b) List the members of one possible set C.
………………………..
(2)
(Total for Question 13 is 3 marks)
8
14.
A, B and C are 3 villages.
B is 6.4 km due east of A.
C is 3.8 km from A on a bearing of 2100
(a) Calculate how far village B is from village C.
Give your answer correct to 3 significant figures.
(b) Calculate the bearing of B from C.
Give your answer correct to the nearest degree.
………………………..
(Total for Question 14 is 5 marks)
END OF EXAM
9
[Total marks: 50]
