Section A Multiple-choice Questions

1. Express the statement “Divide 15 by the result of subtracting the square of 7d from 5g” in algebraic form.

A. B.

C. D.

2. Given 2 consecutive numbers. If the smaller number is n + 1. Write down the product of these 2 numbers.

A. n2 + n B. n2 + 3n + 2 C. n2 + 2n + 1 D. n2 – 1

3. In the figure, ABCD is a trapezium with AB = 2y cm and DC = 3x and the height is 4p. Then, the area is

A. 8yp + 12xp B. 4yp + 3xp

C. D.

4. A wooden rod is L cm long. Jason cuts 6 small rods of equal length from it. If the remainder is R cm long, what is the length of each small rod?

A. (L – 6R) cm B. ( – R) cm C. (L – ) cm D. cm

5. Find the constant term in 4x + 3y – 1 – (3x + 5y – 8) + 2(y – 7).

A. 1 B. –16 C. 0 D. –7

6. A submarine moved up 30 m from 120 m below the sea-level, then descended by 75 m. Use a directed number to represent the location of the submarine.A. – 5 m B. – 15 m C. – 75 m D. – 165 m

7. Given that . Find the value of p.

A. B. C. –3 D.

8. When 11x – 20 = 5x + 28 , x =

A. 4. B. 6. C. 8. D. 10.

9. It is true that (4t + 5) = 1

2(3t –19) when t =

A. 11. B. 8. C. 8. D. 11.

10. In which of the following is the value of the unknown x the largest?

A. B.

C. D. x x

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11. The angle between the minute-hand and the hour-hand of a watch at 2:30 p.m. is

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A B

CD

A. 60. B. 90.C. 105. D. 120.

12. Which of the following angles is an acute

angle?

A. AOG B. DOF

C. COF D. DOG

13. If a polygon is regular, which of the following must be true?

I. All its interior angles are equal.

II. All its sides are equal.

III. All angles are obtuse.

A. I only B. II only C. III only D. I and II only

14. Which of the following is/are true?

I. 5% 20% = 100%

II. 1 + 5% 2 = 2.1

III. 1 20% = 5

A. I only B. III only C. I and II only D. II and III only

15. 35% of an hour is

A. 21 minutes B. 20 minutes C. 19 minutes D. 18 minutes

Section B Conventional Questions

1. [(–28) – (+15)] 0 – [(–52) – (–3)] (–7) =

2. (–6) [(–4)2 – (–7)2] =

3. (–6) [(–5)2 – (–8)2] =

4. Simplify each of the following.(a) (b) (7x3y2 + 9x2y – 1) – (– 4x3y2 + 6x2y – 3)

5. Solve each of the following.(a)

(b)

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6. Expand each of the following.(a) (3d – 2c)(2d – 3c) (b) 1 – (1 + n)2

7. Solve each of the following.

(a) (b) = 3 –

8. Calculate each of the following:

(a) –12 +7––36 –6) (b) –42 + 2 (–3)2 – 6 (– )

(c) 1 + (– ) + – (–0.5)2 (– ) (d) [–32 2 + (–2)3 3 – 4 (–6)] (–32)

9. Simplify each of the following

(a) (b) 2(a+2b) + 4(-2a-b)

(c) (3ab2 + 6a2b – 9a2b2) 3ab (d) (64v4 – 28v2) 4v

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(e)

10. D = (r2s – 50)(2 + 3rsn), given that r = 4, s = 3 and n = 2, find D.

11. Find the product of and , and arrange the terms in descending powers of y.

12. Given the formula dv u

a

2 2

2. Find the value of d if v = 15, u = 11 and a = 4.

13. Rewrite ‘Subtract half of a from b, then multiply five times the difference by c’ in algebraic form.

14. Find the constant term in the sum of the polynomials .

15. Find the value of Y in each of the following formulas.(a) Y = 4e + 7f, given that e = 5 and f = 6.

(b) Y = , given that j = 5 and k = 2.

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(c) Y = 5pq – , given that p = 6 and q = 3.

(d) Y = mn3, given that m = 3 and n = 4.

16. Find S, if S = [2a + (n – 1)d ], given that n = 16, a = 5 and d = 4.

17. The present temperature is -3C. If it rises by 9C and then drops by 15C, what is the final temperature?

18. The cost of a mango is $1 less than 3 times that of an orange. If the total cost of 4 mangoes and 5 oranges is $98,(a) Find the cost of an orange.

(b) Find the total cost of 3 mangoes and 4 oranges.

19. In a Mathematics test of 20 questions, each question was marked in the following way: Correct answer: 5 marksWrong answers: –2 marksNo answer: –1 mark

(a) Lily answered all questions but got 5 wrong. What was her final score?

(b) Susan answered 18 questions but got 3 wrong. What was her final score?

(c) Who got a higher score?

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20. There are 700 rabbits and chickens in a farm. They have 1900 legs altogether. How many chickens are

there?

21. An adult ticket for a drama show costs $75 while a student ticket costs $30. If the total revenue of the

show is $72 000 and 1200 tickets are sold, how many student tickets have been sold?

22. John’s savings is $300 more than his sister’s. After giving $450 from his savings to his sister, John’s savings

becomes of his sister’s. How much savings do they have altogether?

23. Mrs Wong buys a large cake. Sam eats of the cake and Mary eats 500 g of it. If they eat 1 kg of the cake

altogether, what is the weight of the whole cake?

24. There is a rectangle which short sides are 4 cm less than the longer sides. If the length of longer

sides is 28 cm, find the area of the rectangle.

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25. John has 12 coins which consist of $5 and $1. If the total amount is $28, find the number of $1 coins.

26. The perimeter of a rectangle is 14y cm. If the length of the rectangle is (2y + 3) cm, find in terms of y,

(a) the width of the rectangle;

(b) the area of the rectangle.

27. Martha has 17 stickers and Ruth has a certain number of stickers. If Ruth gives 6 stickers to Martha, then they will have the same number of stickers. How many stickers does Ruth originally have?

28. Find the unknown angles in the following figures.(a) (b)

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29. In the figure, AOD = 90 and COD = 35.

(a) Find the value of AOC.

(b) If AOB = 3

5COD, find the value of BOC.

30. In 1994, the number of students in a school is 1 200 and 662

3% of the students are boys. In

1995, the number of boys is increased by 61

4% and the number of girls remains unchanged.

(a) Find the number of students in 1995.

(b) What percentage of the students are boys in 1995?

END

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