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