Quelpr

CSEC Mathematics · January 2013 · Paper 1

59 multiple-choice items from this paper. Open one to see it in full, then practise it on Quelpr and get it marked against the mark scheme.

  1. Q11 mark · multiple choiceWhat percentage of 30 is 6?
  2. Q21 mark · multiple choiceThe exact value of 6 \div (0.003) is
  3. Q31 mark · multiple choice\sqrt{17^2 - 15^2}
  4. Q41 mark · multiple choice0.386 \times 0.06
  5. Q51 mark · multiple choiceAnn and Betty shared a sum of money in the ratio 2:3 respectively. Ann received $120. What was Betty's share?
  6. Q61 mark · multiple choiceIf 60% of a number is 90, what is the number?
  7. Q71 mark · multiple choiceThe number 301 can be written as
  8. Q81 mark · multiple choiceWhat is the Highest Common Factor of the set of numbers \{54, 72, 90\}?
  9. Q91 mark · multiple choiceThe LARGEST prime number that is less than 100 is
  10. Q101 mark · multiple choiceWhat is the LEAST number of plums that can be shared equally among either 6, 9 or 12 children
  11. Q111 mark · multiple choiceIf P = \{2, 3, 5, 7\}, Q = \{2, 3, 6\} and S = \{2, 4, 5\} then P \cap Q \cap S =
  12. Q121 mark · multiple choiceIf U = \{1, 3, 5, 6, 8\} and A = \{3, 6\}, then the number of elements in A' is
  13. Q131 mark · multiple choiceIn the Venn diagram above, the shaded area represents
  14. Q141 mark · multiple choiceIn the Venn diagram, n(X) = 5, n(Y) = 9 and n(X \cup Y) = 10. What is n(X \cap Y)?
  15. Q151 mark · multiple choiceA plot of land is valued at 18\,000. Land tax is charged at the rate of 0.70 per $100. What is the TOTAL amount of tax to be paid for the land?
  16. Q161 mark · multiple choice3\frac{1}{4}\% of $500 is
  17. Q171 mark · multiple choiceSusan bought a calculator for 120. She paid a sales tax of 10% on the price. How much change should she receive from 140?
  18. Q181 mark · multiple choiceThe exchange rate for one United States dollar (US1.00) is two dollars and seventy cents in Eastern Caribbean currency (EC2.70). What is the value of US$4.50 in EC currency?
  19. Q191 mark · multiple choiceA salesman is paid 5% of his sales as commission. His sales for last month were $2\,020. How much commission was he paid?
  20. Q201 mark · multiple choiceThe cash price of a television set is 350. When bought on hire-purchase, a deposit of 35 is required, followed by 12 monthly payments of $30. How much money is saved by paying cash?
  21. Q211 mark · multiple choiceA man pays 60 cents for every 200\text{ m}^3 of gas used, plus a fixed charge of 13.75. How much does he pay when he uses 55\,000\text{ m}^3$ of gas?
  22. Q221 mark · multiple choiceA loan of 8\,000 was paid back in 2 years in monthly payments of 400.00. The percentage profit on the loan was
  23. Q241 mark · multiple choiceAlthea saves \x each month; but in June she saved 4 more than twice her usual amount. In June Althea saved
  24. Q251 mark · multiple choiceThe expression -2(x - 4) is the same as
  25. Q261 mark · multiple choice5(x + y) - 3(x - y) =
  26. Q271 mark · multiple choiceIf m * n = \sqrt{mn - n^2} then 5 * 3 =
  27. Q281 mark · multiple choiceWhen 6 is added to a number and the sum is divided by three the result is four. this statment written in mathematical symbol is.
  28. Q291 mark · multiple choiceGiven that 3(x - 1) - 2(x - 1) = 7, the value of x is
  29. Q301 mark · multiple choiceGiven that 3 * 6 = 12 and 2 * 5 = 9, then a * b may be defined as
  30. Q311 mark · multiple choiceThe sum of two numbers, x and y, is 18, and their difference is 14. Which pair of equations below describes the above statement?
  31. Q321 mark · multiple choiceIn the circle above, with centre O, the circumference is 20 cm. The length of the minor arc AB, in centimetres, is
  32. Q331 mark · multiple choiceThe volume of a cube of edge 10 cm is
  33. Q341 mark · multiple choiceIf it took a speed-boat 9 hours to travel a distance of 1080 km, what was its average speed?
  34. Q351 mark · multiple choiceThe distance around the edge of a circular pond is 88 m. The radius, in metres is
  35. Q361 mark · multiple choiceThe lengths of the sides of a triangle are x, 2x and 2x centimetres. If the perimeter is 20 centimetres, what is the value of x?
  36. Q371 mark · multiple choiceAOB is a sector of a circle such that angle AOB = 72^\circ and OB is r units long. The area of AOB is
  37. Q381 mark · multiple choiceThe area of a triangle is 30\text{ cm}^2 and its base is 10 cm. What is the perpendicular height, in cm, of the triangle?
  38. Q391 mark · multiple choiceAn aircraft leaves A at 16:00 hrs and arrives at B at 19:30 hrs, travelling at an average speed of 550 kilometres per hour. A and B are in the same time zone. The distance from A to B, in kilometres, is
  39. Q401 mark · multiple choiceThe number of boys who chose football is
  40. Q411 mark · multiple choiceHow many boys participated in cricket?
  41. Q421 mark · multiple choiceA bag contains 60 marbles of different colours. The probability of randomly selecting a red marble is \frac{5}{12}. How many red marbles does the bag contain?
  42. Q431 mark · multiple choiceThe heights, in cm, of ten students are 150, 152, 155, 153, 170, 160, 156, 165, 158, 155. The range is
  43. Q441 mark · multiple choiceIf the mean of the four numbers 4, 8, x and 12 is 10, then x is
  44. Q451 mark · multiple choiceEach of the letters of the word 'CHANCE' is written on a slip of paper similar in size and shape. The slips of paper are then placed in a bag and thoroughly shaken. What is the probability of drawing a letter 'C'?
  45. Q461 mark · multiple choiceThe graph of the inequality in the diagram is defined by
  46. Q471 mark · multiple choiceThe relationship that BEST describes the mapping in the diagram is
  47. Q481 mark · multiple choiceWhich of the following points lies on the line y = 2x - 3?
  48. Q491 mark · multiple choiceWhich of the following represents the graph of a function?
  49. Q501 mark · multiple choiceThe maximum point of y = 4x - x^2 is
  50. Q511 mark · multiple choiceThe values of x at the points where y = 4x - x^2 intersects y = 0 are
  51. Q521 mark · multiple choiceIn the right-angled triangle, \tan \theta is
  52. Q531 mark · multiple choiceIn the diagram AB and CD are parallel. Which of the following BEST describes the relation between x and y?
  53. Q541 mark · multiple choiceWhich of the following BEST describes the properties of an equilateral triangle? I. All sides are equal. II. All angles are equal. III. Only two sides are equal. IV. Only two angles are equal.
  54. Q551 mark · multiple choiceIn the diagram, the translation by which AB is mapped onto A'B' is represented by
  55. Q561 mark · multiple choiceThe length of MO, in centimetres, is
  56. Q571 mark · multiple choiceThe diagram, not drawn to scale, shows the angle of depression of a point X from Z is 30^\circ. If X is 10 metres from Y, the height of YZ, in metres, is
  57. Q581 mark · multiple choiceHow far up the wall does the ladder reach?
  58. Q591 mark · multiple choiceIn the diagram, if the line y = x is rotated anti-clockwise about O through 90^\circ, what is its image?
  59. Q601 mark · multiple choiceIn the diagram, ABC is a triangle in which AD = BD = CD. The angle ABC is

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