Numerical Reasoning Practice Test 3 Solutions Booklet 1 www.assessmentday.co.uk

Q1 Of all pregnancies during 2001, what percentage was from women aged 30 and over? 12.8% 14.5% 32.8% 42.6% For 2001, the number of pregnancies in women aged 30 and over is: 30-40 = 20,000 40+ = 20,000 Sum = 40,000. And the number of pregnancies from all women was: Others = 8,000 18-20 = 14,000 20-25 = 26,000 25-30 = 34,000 30-40 = 20,000 40+ = 20,000 Sum = 122,000. So the percentage is simply 40,000 ÷ 121,000 = 32.79% (and to save time you can obviously just work out 40 ÷ 121 without the thousands). 2 www.assessmentday.co.uk

Q2 During which period did the number of pregnancies in the Over 40s increase the most? 2000 – 2001 2001 – 2002 2002 – 2003 2003 – 2004 By studying the graph for Over 40s, we can quickly see that between 2001 and 2002 pregnancies increased by two markers on the scale, whereas all the other years either stayed steady or increased by only one scale mark. We don’t need to actually work out the numerical values to see this, although it is 4,000 for the period 2001-2002. Q3 The number of pregnancies for 25-30 year olds was projected to rise by 9% every year between 2001 and 2003. If this had been the case, approximately how many more pregnancies would have occurred in 2003 for the 25-30 age bracket? 690 395 1,114 1,160 In 2001 we see that pregnancies for 25-30 year olds is 34,000. For an increase of 9% each year, this would mean in 2002 there would have been 34,000 x 1.09 = 37,060. In 2003 there would have been 37,060 x 1.09 = 40,395.4. This compares with the actual figure of 40,000. So the difference is 395. It is good practice at this point to check that we have indeed calculated the projected figure to be higher than the actual, as suggested in the question. If we had not, we know we have made an error. 3 www.assessmentday.co.uk

Q4 Which city’s population had the highest percentage of 18-28 year olds in 2006? A B C D There is no short-cut; you just have to work this out for each city. City A: 20.4 / 129.2 = 15.79% City B: 16.9 / 118.0 = 14.32% City C: 7.3 / 72.4 = 10.08% City D: 6.3 / 25.1 = 25.10% Q5 Relative to population, which city had the lowest rate of offenders in 2006? A B C D Work out the percentage (or ratio) of offenders to total population for each city. City A: 380 / 129.2 = 2.94 – This city had the lowest ratio of offenders to population. City B: 392 / 118.0 = 3.32 City C: 273 / 72.4 = 3.77 City D: 166 / 25.1 = 6.61 4 www.assessmentday.co.uk