The Advanced Numeracy Test Workbook - Mike Bryon [31]
A Suspend all marketing for a year to establish Cool Mints’ true value in terms of the contribution to revenue
B Decrease marketing expenditure slowly over two years to establish whether revenue decreases
C Increase expenditure on marketing activities one by one to establish which activity, if any, leads to a rise in revenue
D Increase marketing expenditure slowly over a year to see whether revenue increases
Answer
Q28. How much will the product Hard Gums generate in 2006 and 2007 combined, if the target during 2007 is exceeded by a factor of 20?
A $2,730,000
B $2,073,000
C $1,430,000
D $130,000
Answer
Q29. Which product’s 2007 revenue growth target calculated as a percentage of its 2006 revenue is six times greater than the target for Hard Gums’ 2007 revenue growth target calculated as a percentage of its 2006 revenue?
A Fruit Salad
B Sour Cola
C Cool Mints
D Soft Fruit
Answer
Q30. Which of the following statements are valid?
1 Over the three years shown Cool Mints is targeted to generate the most revenue.
2 The figures for Hard Gums in 2007 and 2008 combined give a target revenue increase of 3%.
3 Over the three years shown Sour Cola is targeted to generate the least revenue.
4 The figures for Fruit Salad in 2007 and 2008 combined give a target revenue increase of 3%.
A All four statements are valid
B Three of the four statements are valid
C Two of the four statements are valid
D Only one of the statements is valid
Answer
End of test
Answers and explanations
Test 1: Key quantitative operations
Q1.
Fraction Decimal Percentage
¾ 0.75 75%
1/5 0.2 20%
3/5 0.6 60%
3/8 0.375 37.5%
¼ 0.25 25%
Q2. Answer C.
Explanation Simplifies to ¼, Highest Common Factor (HCF) is 8.
Q3. Answer C.
Explanation HCF is 22.
Q4. Answer A.
Explanation HCF is 6.
Q5. Answer B.
Explanation HCF is 13.
Q6. Answer D.
Explanation 3/12 + 8/12 = 11/12, which does not simplify any further.
Q7. Answer A.
Explanation 9/24 + 20/24 = 29/24 = 1 5/24.
Q8. Answer B.
Explanation 3/6 + 1/6 = 4/6 = 2/3.
Q9. Answer D.
Explanation 4/12 – 3/12 = 1/12.
Q10. Answer B.
Explanation 25/30 – 9/30 = 16/30 = 8/15.
Q11. Answer C.
Explanation Multiply the numerators and the denominators, which gives 10/30 = 1/3, but you can simplify first, ie 2/5 × 5/6 cancels out to 1/1 × 1/3 = 1/3.
Q12. Answer A.
Explanation 2/7 × 3/4 = 6/28 = 3/14.
Q13. Answer C.
Explanation A factor is a whole number that is a multiple without remainder.
Q14. Answer C.
Explanation The factors of 12 are 1, 2, 3, 4, 6, 12. The factors of 18 are 1, 2, 3, 6, 9, 18. So the common factors are 1, 2, 3, 6.
Q15. Answer D.
Explanation To multiply powers with the same base, add the powers.
Q16. Answer B.
Explanation To divide powers with the same base value, subtract the powers.
Q17. Answer A.
Q18. Answer C.
Q19. Answer B.
Q20. Answer D.
Explanation Suggested answer A gives the volume of a square, B the volume of a cylinder.
Q21. Answer D.
Explanation 16 has more factors than 1 and itself. Its factors are 1, 2, 4, 8, 16.
Q22. Answer C.
Explanation They are 1, 2, 4, 5, 10, 20.
Q23. Answer B.
Explanation The base number must be multiplied by itself; then the sum of the first multiplication must be multiplied by the base number again. This must continue for as many times as the index value. The power of 2 sequence is as follows: 4, 8, 16, 32, 64, 128, 256, 512, 1,024.
Q24. Answer D.
Explanation The values are: 27 = 128, 35 = 243, 152 = 225, 64 = 1,296.
Q25. Answer B.
Explanation Suggested answer C is its value not its index form.
Q26. Answer A.
Explanation 82, 26, 43 all share the value 64, while the value of 62 is 36.
Q27. Answer B.
Explanation The sequence is the first 5 square numbers.
Q28. Answer C.
Explanation Square numbers are whole numbers. Learn to recognize the sequence of low