The Advanced Numeracy Test Workbook - Mike Bryon [6]
Later tests provide practice in more complex operations.
Keep revising your mental arithmetic until you are able to complete questions at this level and within this timescale without a calculator.
This is a long test so it is a lot like the real thing in that it is a test of your endurance and stamina as well as your advanced numeracy skills.
Test 1: Key quantitative operations
Test instructions
This test comprises 71 questions.
Allow yourself 45 minutes in which to complete it.
It consists of a series of questions and a number of labelled answers to choose from. Only one of the suggested answers is correct. It is your task to select the suggested answer that you think is correct and record its identifying label in the answer box.
The answer to all questions will be either A, B, C, D or E, depending on the number of suggested answers.
Attempt every question working quickly. If you run out of time, keep working until you have finished all the questions.
Answers and explanations are provided on pages 193–99. An interpretation of your score is offered on pages 242–43.
Remember no calculator is needed.
Do not turn the page until you are ready to begin.
Try to complete the test without interruption.
Q1. Complete the following conversions between fractions, decimals and percentages. Express all fractions in their lowest form.
Fraction Decimal Percentage
¾
0.2
60%
0.375
¼
Q2. Which of the following fractions is an equivalent to 1/4?
A 10/14
B 6/42
C 8/32
D 3/36
Answer
Q3. Which of the following fractions is an equivalent to 2/3?
A 37/45
B 40/55
C 44/66
D 15/27
Answer
Q4. What is the value of n in this pair of equivalent fractions:
N/12, 18/108
A 2
B 3
C 1
D 4
Answer
Q5. Identify 65 as a fraction of 104 in its simplest form.
A 3/5
B 5/8
C 7/9
D 1/2
Answer
Q6. The sum of 1/4 and 2/3 is:
A 1 and 1/12
B 2/12
C 3/7
D 11/12
Answer
Q7. The sum of 3/8 and 5/6 is:
A 1 and 5/24
B 1 and 1/14
C 8/14
D 3/5
Answer
Q8. The sum of 1/2 and 1/6 is:
A 2/12
B 2/3
C 5/6
D 2/8
Answer
Q9. If you subtract 1/4 from 1/3 the answer is:
A 1/6
B –1/12
C –1/6
D 1/12
Answer
Q10. 5/6 minus 3/10 leaves:
A 17/30
B 8/15
C 1/4
D 1/2
Answer
Q11. If you multiply 2/5 by 5/6 you get:
A 1/2
B 1/4
C 1/3
D 1/6
Answer
Q12. If you multiply 2/7 by 3/4 you get:
A 3/14
B 1/4
C 5/7
D 3/7
Answer
Q13. Which number is not a factor of 25?
A 1
B 5
C 12.5
D 25
Answer
Q14. Which of the following is not a common factor of 12 and 18?
A 3
B 2
C 9
D 6
Answer
Q15. The sum when 52 is multiplied with 56 is:
A 512
B 54
C 40
D 58
Answer
Q16. The sum when 66 is divided by 62 is:
A –63
B 64
C 612
D 63
Answer
Q17. What can the formula π × r × r be used to calculate?
A The area of a circle
B The circumference of a circle
C The diameter of a circle
D The volume of a sphere
Answer
Q18. What can the formula Tan θ be used to calculate?
A The length of a cord
B The surface area of a prism
C An angle in a right angled triangle
D An angle in a regular polygon
Answer
Q19. What can the formula ½ × b × h be used to calculate?
A The area of a trapezium
B The area of a triangle
C The area of a rectangle
D The area of a semicircle
Answer
Q20. Which formula would afford the surface area of a cylinder?
Answer
Q21. Which of the following is not a prime number?
A 7
B 11
C 13
D 16
Answer
Q22. How many factors does 20 have?
A 4
B 5
C 6
D 7
Answer
Q23. What is the value of 210?
A 20
B 1,024
C 512
D 2,048
Answer
Q24. Which power has the highest value?
A 27
B 35
C 152
D 64
Answer
Q25. Which is the index form of the value 3 × 3 × 3 × 3 × 3 × 3?
A 35
B 36
C 729
Answer
Q26. Which of the suggestions is not equivalent?
A 62
B 82
C 26
D 43
Answer
Q27. Which number completes the sequence?
1 4 9 ?? 25
A 18
B 16
C 14
D 10
Answer
Q28. Which of the following is a squared number?
A 99
B 130
C 169
D 172
Answer
Q29.