Sample Mid-year Examination Paper 1 /50

1. Expand and simplify the following expressions.

(a) 2(x – 4y) – 3(–2x – 5y) [1]

(b) x(5y – 2x) – y(x – 6) [1]

2. Factorise the following.

(a) 3xy + 18y2 [1]

(b) 7m2n2 – 21mn4 + 35m3n3 [1]

3. Solve . [2]

4. Factorise 8xy – 20xy2 – 6 + 15y. [2]

5. A can of worms is sufficient to feed 5 fishes for a week. If 9 more fishes are added to the tank, how long can the can of worms last? [2]

6. Solve the following inequalities and illustrate the solutions on a number line.

(a) 3y – 5 < 19 [1]

(b) 5x – 6 ≥ 2x + 21 [1]

7. It is given that p is inversely proportional to t. When t = 9 and p = 14,

(a) form an equation connecting p and t, [2]

(b) find the value of t when p = 28. [1]

8. Solve . [3]

9. The graph shows two straight lines.

Find the gradients of Line A and Line B. [3]

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4

3

8O

Line B

Line A

x

y

10. (a) A map is drawn to a scale of 1 : n. The actual distance between two cities is 36 km and it is represented by 12 cm on the map. Find the value of n. [2]

(b) Using the same map scale in (a), find the distance represented on the map if the actual distance of a road is 21 km. [1]

11. Factorise 12am + 49bn – 28an – 21bm. [3]

12. The sum of two consecutive odd numbers is 228. Find the product of the two numbers.[2]

13. Simplify (a – 2b) ÷ (4b2 – a2). [3]

14. Answer the whole of this question on a sheet of graph paper.

Using a scale of 1 cm to represent 1 unit on both axes, draw the following lines.

(a) y = x [2]

(b) y = –2 [1]

(c) x = 5 [1]

15. Solve 8x – 53 ≤ 3x + 28. Hence, find the greatest value of x if x is a prime number. [3]

16. Answer the whole of this question on a sheet of graph paper.

Using a scale of 1 cm to represent 1 unit on both axes, plot the following points.

(a) A(5, 2) [1]

(b) B(–2, –3) [1]

(c) C(–1, 4) [1]

17. Factorise the following.

(a) 25x2 – 9y2 [2]

(b) 21x2 – 20x – 25 [2]

18. A park is drawn to a scale of 1 : 40.

(a) The actual distance of a bicycle path is 16 m. Find, in centimetres, the length of the bicycle path represented on the map. [2]

(b) The area of a pond in the park is 128 cm2 on the map. Find, in square metres, the actual area of the pond. [2]

End of Sample Mid-year Examination Paper 1

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