YEAR 9 Mathematics TIME: 1h 30min Main Paper

DEPARTMENT FOR CURRICULUM, LIFELONG LEARNING AND EMPLOYABILITY Directorate for Learning and Assessment Programmes Educational Assessment Unit

Annual Examinations for Secondary Schools 2021

YEAR 9

Mathematics Main Paper

Track 3

TIME: 1h 30min

Quest. 1

2

3

4

5

6

7

8

9

10

11

12

13

Total Main

Non Global Calc Mark

Mark

DO NOT WRITE ABOVE THIS LINE.

Name: _____________________________________

Class: _______________

Answer all questions. Calculators are allowed but all necessary working must be shown.

Mathematics ? Main Paper ? Year 9 ? Track 3 ? 2021

Page 1 of 12

1. (a) Round each number to the nearest whole number and find an approximate value for:

3.822 ? 1.13 20.1 - 11.97

Ans: ______________

(b) Work out the value for (a) using your calculator. Give your answer correct to 2 decimal places.

Ans: ______________

(c) Round the following numbers as indicated in brackets:

(i) 393.4 (2 significant figures)

Ans:______________

(ii) 0.00792 (1 significant figure)

Ans: ______________

2. (a) Expand and simplify: ( + 3)( - 4)

(5 marks)

(b) Simplify:

22 83

Ans: ______________

(c) Factorise completely: 42 - 22

Ans: ______________

Page 2 of 12

Ans: ______________ (5 marks)

Mathematics ? Main Paper ? Year 9 ? Track 3 ? 2021

3. Sam and Herman go to a sweet shop. Sam has a 10c, a 20c, a 50c and a 1 coin in his pocket, while Herman has a 5c, a 10c, a 20c and a 50c coin in his pocket.

They decide to take out one coin each at random from their pockets. They will then buy some sweets with the sum of the two coins picked.

(a) Complete the table below which shows all the possible sums of money of the two coins.

Sam

10c

20c

50c

100c

5c

15

10c

60

20c

40

120

50c

60

70

Herman

(b) What is the probability that the total sum of the two coins is less than 30 cent? Ans: ________

(c) What is the probability that they spend more than 50 cent? Ans: ________

(d) What is the probability that the total sum is a multiple of 10? Ans: ________ (5 marks)

Mathematics ? Main Paper ? Year 9 ? Track 3 ? 2021

Page 3 of 12

4. A retail outlet is closing down and the owner puts a 60% off sale on all the prices. Tania went to check some offers for her new apartment.

(a) The price of the washing machine was 500 before the sale. What is the sale price?

Ans: ______________ (b) The sale price of an oven is marked 140.

What was the price of the oven before the sale?

Ans: ______________ (c) If Tania buys all the three appliances during the sale, she will be given a

further 10% discount on the total sale price. How much will she pay?

Page 4 of 12

Ans: ______________ (7 marks)

Mathematics ? Main Paper ? Year 9 ? Track 3 ? 2021

5. The diagram represents a triangle ABC. A

2 + 1

B

6 + 2

Diagram not drawn to scale

C

(a) The perimeter of the triangle is 84 cm. Form an equation and solve it for .

(b) Work out the length of each side of the triangle.

Ans: = ________

Ans: ______cm, ______cm, ______cm (c) Show that triangle ABC is right-angled.

Mathematics ? Main Paper ? Year 9 ? Track 3 ? 2021

(6 marks)

Page 5 of 12

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