The Advanced Numeracy Test Workbook - Mike Bryon [40]
Q48. Answer D.
Explanation Median = 5; mean = 66/11 = 6; 5 – 6 = –1.
Q49. Answer C.
Explanation 400cm × 450cm.
Q50. Answer D.
Explanation Volume = 4/3πr3, r3 = 27, 4/3 × 3.14 × 27 = = 113.04.
Test 7: Another advanced numeracy test
Q1. Answer C.
Q2. Answer A.
Q3. Answer C.
Explanation 21 times in the experiments 3 (further 100 times) = 63 times.
Q4. Answer A.
Explanation A sphere with a radius of 10cm will have a diameter of 20cm. A cube of 8,000cm3 has sides with a length of 20cm – 20 is the cube root of 8,000 (20 × 20 × 20 = 8,000).
Q5. Answer A.
Explanation = 10.6. Prime numbers to 10.6 = 2, 3, 4, 7. None divide exactly into 113, so it is a prime number.
Q6. Answer B.
Explanation The list is divided into four quarters so the first quartile has three-quarters of the list above it.
Q7. Answer B.
Explanation 595 items; average is 393; so sum = 595 × 393 = 233,835.
Q8. Answer B.
Explanation This is a list of composite (ie non-prime) whole numbers.
Q9. Answer D.
Q10. Answer C.
Explanation Arrange the data into numerical order. The median lies between 0 and 1, given that there are eight items.
Q11. Answer D.
Explanation No relationship between X and Y is the normal expression of the term ‘the null hypothesis’. In practice it means that unless it can be proved otherwise no relationship is assumed.
Q12. Answer A.
Explanation 750/(3 + 2) = 150 × 3 = 450.
Q13. Answer D.
Q14. Answer D.
Q15. Answer A.
Q16. Answer D.
Q17. Answer C.
Explanation Subscripts are used to identify items. In mathematics they are below the line. In computing they are in parentheses.
Q18. Answer B.
Explanation 9/2 = 4.5; therefore the greatest value of x = 4.
Q19. Answer C.
Q20. Answer C.
Q21. Answer B.
Explanation 1,014 – 696 = 318.
Q22. Answer C.
Explanation 60 – 48 = 12/60 × 100 = 20%.
Q23. Answer C.
Explanation (5,180 + 2,900 + 2,556 + 1,014 + 190) – (2,800 + 1,876 + 1,916 + 696 + 172) = 4,380.
Q24. Answer A.
Explanation 5,180 – 2,800 = 2,380/2,800 × 100 = 85%.
85% × 5,180 = 4,403 + 5,180 = 9,583.
Q25. Answer C.
Explanation The percentage change in 2001 was the lowest, at 3%.
Q26. Answer E.
Explanation In 2003 the rate of change in house prices was 12% lower than in 2002.
Q27. Answer C.
Explanation This is obtained by adding the five yearly levels together and dividing this sum by five.
Q28. Answer C.
Explanation A straight trend line should start at around 6½% in 1999, increasing by 3% each year. This line would reach a level of between 20% and 21% if extrapolated to 2004. As this is an estimate, any answer between 17% and 24% would be acceptable.
Q29. Answer C.
Explanation 2,412 – 647 = 1,765.
Q30. Answer D.
Explanation 25 + 20 = 45%.
Q31. Answer D.
Explanation 734/4,318 × 100 = 17%.
Q32. Answer B.
Explanation 525 = 15% of the population; therefore 100% = 525/15 × 100 = 3,500.
Q33. Answer A.
Explanation All the remaining balls must be red, so there is a four in four chance that the seventh ball will be red, which gives a probability of 1.
Q34. Answer B.
Q35. Answer C.
Explanation It is a statistical term used to account for unpredicted observations.
Q36. Answer A.
Explanation Imagine looking down on the Earth from the north as it turns, with the Sun’s position fixed. If the Earth turns anti-clockwise, any point on the circumference of the Earth will approach the Sun from the east.
Q37. Answer C.
Q38. Answer B.
Explanation The standard deviation will be the same as before the wages were increased because the ‘spread’ or deviation of wages has not changed.
Q39. Answer A.
Explanation Points in a straight line are a perfect correlation but it could be positive or negative, as could any direct correlation.
Q40. Answer B.
Explanation 10/20 × 10/20 = 100/400 = 1/4.
Q41. Answer B.
Explanation The probability is the same as in Q40: 10/20 × 10/20 = 100/400 = 1/4.
Q42.