The Advanced Numeracy Test Workbook - Mike Bryon [38]
Q35. Answer B.
Explanation The sum carries over to three digits so the range must begin with 100. The highest value each two-digit number can have is 99 so the highest value in the range must be 198.
Q36. Answer D.
Explanation 6 × 2 × 70 = 840. Although the counters are all the same colour, there are still 70 possible outcomes as any one of these could be drawn.
Q37. Answer B.
Explanation There are 366 days in a leap year and given that the chance of rain is 1/3 it would probably rain on 122 of them, but this question is asking about the number of possible outcomes not the probability of the outcome and it is possible that it could rain every day through the year (although this is unlikely).
Q38. Answer D.
Explanation They are 678, 786, 876, 687, 867, 768.
Q39. Answer A.
Explanation The probability of all possible events must equal 1.
Q40. Answer D.
Explanation Mutually exclusive events cannot happen at the same time. An example is tossing a coin where heads and tails are mutually exclusive events.
Q41. Answer B.
Explanation In the case of mutually exclusive events the fractions can be added together to get the probability.
Q42. Answer A.
Explanation Because the first card is not returned the outcome of the second event is dependent on the outcome of the first. Probability of the second event being a queen (if first not a queen) = 4/51.
Q43. Answer C.
Explanation Given that there are 4 queens, first event = 48/52. The second event is slightly more probable, as there are still 4 queens but only 51 cards = 47/51. So probability that the first two cards are not queens = 48/52 × 47/51 = 0.9230 × 0.9215 = 0.85 (to two decimal points).
Q44. Answer B.
Explanation For independent events the multiplication rule applies: 0.005 × 0.005 = 0.000025.
Q45. Answer B.
Explanation Probability =
We know the probability from the previous question and can calculate the number of possible outcomes (assume 365 days a year × 250 possible outcomes a day = 91,250).
0.000025
Forecast event = 2.28125 times (even if the restaurant was open less than every day, B is the most likely answer).
Q46. Answer B.
Explanation 1,500/6 = 250.
Q47. Answer A.
Explanation From the previous question we saw that the mean of x is 250 so x minus the mean of x = 150 – 250 = –100.
Q48. Answer C.
Explanation Simply use the x2 function on a calculator to get the answer.
Q49. Answer D.
Explanation This is simply the sum of column 3.
Q50. Answer C.
Explanation = 3,541.6; = 59.5.
Test 6: Advanced numeracy test
Q1. Answer B.
Explanation An interpolation is an estimate of an unknown number between two known points.
Q2. Answer C.
Explanation 5cm3 = 125.
Q3. Answer D.
Q4. Answer A.
Explanation A reciprocal of a number is found by dividing it into 1.
Q5. Answer B.
Explanation = 12.6. Prime numbers to 12.6 = 2, 3, 5, 7, 11. 7 divides exactly 23 times into 161, so 161 is not a prime number.
Q6. Answer A.
Q7. Answer B.
Explanation Suggested answer D is a forecasting technique.
Q8. Answer A.
Q9. Answer A.
Explanation 521 items, average 370. Sum = 521 × 370 = 192,770.
Q10. Answer D.
Explanation It would depend on the subject of the population. The number of shirts of all colours and cuts in a store is a finite population. All outcomes in successive rolls of the dice would be infinite.
Q11. Answer A.
Explanation 162 + 726 = 888/2 = 444.
Q12. Answer A.
Explanation Statistical sampling is a process that makes possible description or the drawing of inferences.
Q13. Answer C.
Explanation Simple Pythagorean equation, where a2 = c2 – b2:
a2 = 82 – 32 = 55;
a = = 7.4.
Q14. Answer D.
Explanation The term is a common one in market research.
Q15. Answer D.
Explanation The difference between quantitative and qualitative research is that the first deals with mathematically measurable items while the second deals with the quality of items.
Q16. Answer B.
Explanation Z will