The Advanced Numeracy Test Workbook - Mike Bryon [39]
Q17. Answer B.
Q18. Answer C.
Q19. Answer C.
Q20. Answer D.
Q21. Answer C.
Q22. Answer D.
Explanation The original amount = the new amount ÷ (100 + J)/100)
Q23. Answer E.
Explanation Statement (1) gives us an absolute value that can describe the advantage Horse A has over Horse B during part of the race. Statement (2) describes a proportional advantage that Horse B has over Horse A during a separate part of the race. Individually neither statement indicates that either horse will complete the course faster than the other. Since an absolute lead cannot be conclusively compared with a proportional lead, the combination of the two statements also gives insufficient information to solve the question.
Q24. Answer C.
Explanation Statement (1) gives us the information required to work out the probability of a ball being drawn by determining the range of possibilities. Statement (2) is necessary as we need to eliminate the possibility that number 7 was one of the first two balls drawn.
Q25. Answer A.
Explanation Statement (1) tells us that the average speed of both aircraft is the same. As we already know that the aircraft cover the same distance we can deduce that the duration of both flights will be the same as time is a function of distance and speed. There is no such relationship between the weight of the aircraft and the time taken, as other factors such as wind conditions could affect the duration of each flight. This means that statement (2) does not contain sufficient information to answer the question.
Q26. Answer C.
Explanation In this year the minimum wage only increased by 10 pence.
Q27. Answer A.
Explanation The minimum wage has increased from £3.60 to £4.80 over this period – an increase of £1.20. The percentage increase is calculated from × 100, which rounds to 33%.
Q28. Answer D.
Explanation This is obtained by adding the five values in the second chart.
Q29. Answer D.
Explanation 130 + 270 + 440 = 840.
Q30. Answer A.
Explanation Total hotels = 2,300; 23% of 2,300 = 529.
Q31. Answer B.
Explanation 529 single beds + 1,081 twins (= 2,162 people) + 437 doubles (= 874 people) + 207 families (= 621) + 46 dormitories (= 184) = 4,370.
Q32. Answer B.
Explanation 20% of 47% = 9.4% of 550 3-star hotels = 51.7 × £65 = £3,360.50.
Q33. Answer D.
Explanation (4,001 + 1,219) – (2,552 + 2,156) = 512.
Q34. Answer C.
Explanation (4,001 + 2,552)/(4,001 + 1,219 + 2,552 + 2,156) = 0.66 × 100 = 66%.
Q35. Answer D.
Explanation 852 + 102 = 954/6,553 × 100 = 14.5%.
Q36. Answer B.
Explanation Simply read from the two pie charts. (This is not the greatest sector for either gender.)
Q37. Answer C.
Explanation Each number in the sequence is the sum of the previous number and a number that increments by 1 as the sequence progresses:
10 + 5 = 15;
15 + 6 = 21;
21 + 7 = 28;
28 + 8 = 36;
36 + 9 = 45.
Q38. Answer A.
Explanation Tracing the progression backwards:
10 is the 4th number in the sequence;
10 – 4 = 6 is the 3rd number in the sequence;
6 – 3 = 3 is the 2nd number in the sequence.
Q39. Answer B.
Explanation There is a 5 in 10 chance that the first ball is blue, which simplifies to a 1 in 2 chance or a probability of 0.5.
Q40. Answer D.
Explanation Be sure you note when the question requires you to calculate the surface area as distinct from the volume.
Q41. Answer A.
Explanation 6 × 6 × 6 = 216 × 3 = 648cm3.
Q42. Answer C.
Q43. Answer B.
Q44. Answer C.
Explanation x = 60/10 = 6.
s = 6 × = 6 × 17.3 = 103.8 = 104.
Q45. Answer C.
Explanation: Total reduction = 50 + 10 + 20 = 80%; therefore £12.50 = 20% of the original price; 12.5/20 = 0.625 × 100 = 62.50.
Q46. Answer D.
Explanation Number of faces per die = six; two dice, therefore 6 × 6 = 36 possible face combinations. There are four possible combinations to get 5: (1,4), (4,1), (2,3), (3,2); 4/36 = 1/9.
Q47. Answer A.
Explanation The mode is the answer that is most frequently given