The Advanced Numeracy Test Workbook - Mike Bryon [43]
Q23. Answer D.
Explanation The per capita income of Mozambique is $81 and of Nepal is $179. Find $179 as a percentage increase on $81. An increase of 221% = 179.01 and is the closest of the suggested answers.
Q24. Answer D.
Explanation The data set states that there are 400,000 dollar millionaires in France but their total net worth is unknown as each may be worth considerably more than a million dollars.
Q25. Answer B.
Explanation There are 8,400,000 dollar a day labourers in Nepal and a total population of 28,000,000. Find 8.4 as a percentage of 28 = 30%.
Q26. Answer A.
Explanation The population in 2007 was 37 million and 4,440 million divided by 37 = $120 per capita income or $35 less than the per capita income in 2009.
Q27. Answer D.
Explanation We have no specific information about the number of Brazilian dollar millionaires. Although we can calculate the number of all new dollar millionaires as 580,198, this is not useful as we are not then able to break the number down by country.
Q28. Answer C.
Explanation In 2009 there were 10,249,998 dollar millionaires and 427,000 of these were from China. Find 427,000 as a fraction of 10,249,998 = approximately 1/24 .
Q29. Answer A.
Explanation Somalia has the highest percentage of dollar a day labourers: 55% (4,675,000 as a percentage of 8,500,000). The next highest percentage is found in Mozambique: 45%.
Q30. Answer A.
Explanation The yearly income in Mozambique in 2009 = 21 1/3 million × $81 = $1,728 million × 5 = $8,640 million ÷ 427,000 (the number of Chinese millionaires) = $20,234.
Test 9: Another data interpretation test
Q1. Answer D.
Explanation In 2008 the population was 305 million. Multiply by 80.8% to find the urban living population and divide by 4 to establish the urban population under 18 years of age = 61.61 million.
Q2. Answer B.
Explanation Of the 305 million population, 1/4 are under 18 years of age and 1/8 are 65 or more years of age. 1/4 + 1/8 = 3/8, leaving 5/8 of the population aged 18–64 years. 305 million divided by 8 = 38,125,000 × 5 = 190,625,000.
Q3. Answer C.
Explanation The population in 2050 is forecast to be 459,025,000, 40% of whom will be male and 72% of whom will live in states other than Texas or California (100 – 28). 459,025,000 × 40% = 183,610,000 × 72% = 132,199,200.
Q4. Answer D.
Explanation The population was forecast to grow from 305 million to 459.025 million. To find this percentage start with subtraction, 459.025 – 305 = 154.025, then divide 305 by 100 = 3.05 and divide 154.025 by 3.05 = 50.5. The world population is forecast to grow by 37%. 50.5 – 37 = 13.5 or 13.5%.
Q5. Answer D.
Explanation Divide 459.025 by 5.1 to find 1% of world population in 2050 and multiply by 100 to find total world population = 9000.49019607. If world population in 2050 is approximately 9 billion and has grown from 2008 by 37%, to find the 2008 world population: 9 ÷ 137 = 0.0659 × 100 = 6.57007 or 6.570 billion.
Q6. Answer A.
Explanation Output is defined as labour hours, multiplied by units per hour per machine, multiplied by number of machines. The production plant in Bangladesh is plant 2 and team A so the output = 120 × 50 × 15 = 90,000 units. The output for Poland is 144 × 45 × 10 = 64,800. The difference is therefore 25,200.
Q7. Answer D.
Explanation Capital productivity is defined as output divided by the number of machines. Output from the plant in Poland = 144 × 45 × 10 (the number of machines is 10) so capital productivity = 144 × 45 = 6,480. Capital productivity of the plant in Bangladesh = 120 × 50 × 15 (the number of machines is 15) = 6,000, so the difference is 480.
Q8. Answer B.
Explanation Labour productivity is defined as output divided by labour hours. Labour productivity at the plant in Bangladesh is 90,000 ÷ 120 = 750. At the plant in Poland, labour productivity is 64,800 ÷ 144 = 450, so the difference is 300.
Q9. Answer D.
Explanation The information on maximum production is incomplete so you must surmise the most likely