Queen S College 07/08 S.1 Maths Paper II
Total Page：16
File Type：pdf, Size：1020Kb
Queen’s College 07/08 S.1 Maths Paper II Half-yearly examination Page 1
QUEEN’S COLLEGE Half-yearly Examination, 2007-2008 Mathematics Paper II Secondary 1 Date: 9th Jan, 2008. Time: 10:30-11:30 Maximum Marks: 80
1. Write down the information required in the spaces provided in the Answer Sheet.
2. When told to open this question paper, check that all the questions are there. Look for
the words “END OF PAPER” after the last question.
3. Answer all questions. All the answers should be marked on the answer sheet
provided.
4. Note that you may mark only ONE answer to each question. Two or more answers will
score no marks.
5. There are 40 questions in this paper. All questions carry equal marks.
6. The diagrams in this paper are not necessarily drawn to scale.
7. Calculator is not allowed in this paper. Queen’s College 07/08 S.1 Maths Paper II Half-yearly examination Page 2
[Multiple Choice questions]
c 1. ‘Subtract a from 2b, then multiply the difference by ’ may be written as 2
(2ba)c (a 2b)c A. b – 2ac. B. . C. a2bc . D. . 2 2
2. 1800 =
A. 24 ´ 32 ´ 5 B. 23 ´ 33 ´ 5 C. 22 ´ 34 ´ 5 D. 23 ´ 32 ´ 52
3. Find the next term of the sequence
1, 3, 9, 27
A. 81 B. 30 C. 80 D. 54
4. Which of the following is NOT an equation?
A. 0.7a = 2.8 B. 5a – 1 = 11 12 a C. 16 = D. 7a + 3 5
5. Which of the following is NOT true when r = –2 ?
A. 1 – r = 3 B. -2r = 4 6 C. 5r = 2r – 6 D. + 1 = 4 r
6. For the equation 2(3y + 1) – 3(y + 2) = 2, y =
4 1 A. . B. –1. C. 2. D. . 3 3 Queen’s College 07/08 S.1 Maths Paper II Half-yearly examination Page 3
1 1 7. (4k + 3) = (3k –5) , 3 2 then k =
A. 21. B. 16. C. 8. D. -21.
m m m 8. If 1 m 1, then m = 2 4 8
16 8 1 A. 8. B. . C. . D. . 15 9 7
9. If a = 3 and b = -4, then a2 – b2 =
A. -7. B. 20. C. 14. D. -2.
1 1 1 1 10. 6 8 4 3
1 1 1 1 A. 3 B. 3 C. D. 2 2 14 2
11. If x is positive and y is negative, which of the following statements must be true?
I. x – y is positive. II. x + y is negative. III. (x + y)2 is positive.
A. I and III only B. II only C. III only D. I and II only
12. A pack of 4 dozen postcards is 4.2cm thick.
Estimate the thickness of each postcard.
A. 1.05cm B. 0.35cm C. 0.875mm D. 0.155mm Queen’s College 07/08 S.1 Maths Paper II Half-yearly examination Page 4
13. Alan has $x and Jacky has twice as much money as Alan. If Jacky spends $15 and gives
half of the remainder to his brother, how much does Jacky still have?
1 x 1 1 A. $ 15 B. $ (2x 15) C. $ (2x 15) D. $(4x – 60) 2 2 2 2
14. The cost ($C) of producing n radio sets per day is given by the formula
1 C = n (n + 100) + 50. Find the cost of producing 30 radio sets per day. 2
A. $600 B. $2000 C. $1900 D. $3950
15. Find the distance between A and G.
A B C D E F G H
7 6 5 4 3 2 1 0 1 2 3 4 5 6
A. +10 B. +8 C. 2 D. +2
16. Evaluate 22 (3) 2 (4) 2 (2)2 .
A. 52 B. -52 C. 32 D. 40
54 3(x 2) 17. Solve the equation 6 . 7
A. 2 B. 3 C. 6 D. 7
2 3 8 4 7 18. Find the largest number in , , , and. 3 4 11 5 8
2 7 4 1 A. B. C. D. 3 8 5 2 Queen’s College 07/08 S.1 Maths Paper II Half-yearly examination Page 5
1 1 19. Evaluate [4 ( )] . 2 3
5 1 5 5 A. 4 B. 4 C. 3 D. 3 6 6 6 6
20. Which of the following is NOT equal to 0?
A. 4 – 3 ´ 2 + 2 B. 4 – 3 – 2 ¸ 2 C. (4 + 3) ´ (2 – 2) D. (4 – 3) ¸ (2 – 2)
2 32 3 21. Evaluate [ ] ( ) . 0 (3) 2 (7) 2 1 A. 49 B. +14 C. +49 D. 9 3
1 22. When the numbers 0.3, 22.5%, are arranged in descending order of magnitude, 4 the result is
1 1 A. 0.3, 22.5%, . B. , 0.3, 22.5%. 4 4 1 1 C. 22.5%, , 0.3. D. 0.3, , 22.5%. 4 4
(2) (6) 23. Evaluate . (3) (7)
4 2 A. B. C. 1 D. +1 5 5 Queen’s College 07/08 S.1 Maths Paper II Half-yearly examination Page 6
24. Which of the following is the best estimate of 2018 7.96 5.03 ?
A. 300 B. 3000 C. 3200 D. 3500
25. 5% of Y is 19, find the value of Y. A. 380 B. 0.95 C. 3.8 D. 18.05
26. In F.1, 7 students failed in a mathematics test, which is 2.8% of the students in F.1. Find the number of students in F.1. A. 25 B. 250 C. 196 D. 20
27. If a number is decreased by 20% and then increased by 25%, what percentage is the final value in compared with the original one?
A. 100% B. 105% C. 95% D. 5%
28. The length of each side of a square is 20 cm. If the length of each side is increased by 5%, find the percentage increase in the area of the square.
1 1 1 1 A. 20 % B. 5 % C. 15 % D. 10 % 4 4 4 4
29. A pair of shoes which is marked at $120 is sold at 25% off. Find the selling price. A. $85 B. $90 C. $100 D. $110
30. In a cake shop, one can buy 7 cakes and get 1 extra cake for free.
Find the discount percent.
A. 10% B. 7.5% C. 12.5% D. 20% Queen’s College 07/08 S.1 Maths Paper II Half-yearly examination Page 7
31. A shop manager has bought 320 glasses at $2 112, in which 5% of them are broken. The rest are sold at $9.2 each. What is the profit/loss?
A. Loss $640 B. Loss $684.8 C. Profit $684.8 D. Profit$1 964.8
32. According to the diagram, find the values of P and Q.
8 units
14 units
P 3 Q A. P = -9, Q = 5 B. P = 5, Q = 11
C. P = -11, Q = 3 D. P = 5, Q = 9
33. If m = 5, n = 2 and p = 20, find the value of (m + n)2 p.
A. 39 B. 19 C. 6 D. 29
34. What is the simple interest on $1800 at 4% p.a. for 2 years?
A. $72 B. $144 C. $288 D. $1944
35. represents an apple; represents a pineapple.
Observe the diagram carefully, and find out the weight of an apple.
200 g 1 000 g
A. 160 g B. 200 g C. 240 g D. 300 g Queen’s College 07/08 S.1 Maths Paper II Half-yearly examination Page 8
36. In the following diagram, the length and the width of the rectangle ABCD are 2x cm and x cm respectively. The length of each side of the square PQRS is 6 cm. If the perimeters of the rectangle ABCD and the square PQRS are equal, find the value of x.
A D A D x c m x c m B C 2 x c m C B 2 x c m P S P S 6 c m
Q R 6 c m Q R A. 6 B. 24 C. 4 D. 18
37. Given A = 80 and B = 100. Which of the following is true?
A. A is smaller than B by 25%. B. A is greater than B by 25%. C. B is smaller than A by 25%. D. B is greater than A by 25%.
38. Mr. Chan paid $160 for 100 ball pens. If he sells them at $2 each, what is the profit per cent?
A. 4% B. 20% C. 25% D. 40%
39. A book marked at $M was sold at a discount of 20%. If the selling price of the book is $120, then M =
A. 150. B. 96. C. 100. D. 144.
40. An article is marked by an increase of 40% on the cost. It is then sold at a discount of 40%. On the whole,
A. there is no profit or loss. B. there is a profit of 1.6%. C. there is a profit of 16%. D. there is a loss of 16%.
END OF PAPER. Queen’s College 07/08 S.1 Maths Paper II Half-yearly examination Page 9
QUEEN’S COLLEGE Half-yearly Examination, 2007-2008 Mathematics Paper II
Question Question Number A B C D Number A B C D 1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 31 12 32 13 33 14 34 15 35 16 36 17 37 18 38 19 39 20 40 Total 10 9 11 10