The Advanced Numeracy Test Workbook - Mike Bryon [17]
Answer
Q30. If the radius of the circle is 5cm, how long is the arc marked on its circumference? As usual, treat π as 3.14.
Answer
Q31. What is the surface area of a cylinder with a radius of 5cm and a height of 6cm (treat π as 3.14)?
A 219.8cm2
B 204.1cm2
C 345.4cm2
D None of these
Answer
Q32. What is the area of square x?
A 34cm2
B 5.8cm2
C 16cm2
D 8cm2
Answer
Q33. Calculate the length of the hypotenuse of a right-angled triangle where the sum of the square of the other two sides equals 25cm2:
A 6cm
B 5cm
C 4cm
D 3cm
Answer
Q34. Calculate the length of x in the illustrated right-angled triangle:
A 5cm
B 4cm
C 7cm
D 6cm
Answer
Q35. Calculate the length of the line drawn on a centimetre-squared grid.
A 4cm
B 7cm
C 8cm
D 5cm
Answer
Q36. Calculate the distance between the following points on the same centimetre-squared grid:
(3,2) (8,14)
A 12cm
B 5cm
C 13cm
D 9cm
Answer
Q37. What is the circumference of the circle? Work to no more than two decimal places.
A 18.63cm
B 22.63cm
C 20.63cm
D None of these
Answer
Q38. Is the following a right-angled triangle?
A Yes
B No
C Cannot tell
Answer
Q39. If angle a is given, which ratio would you use to find the length of x?
A Sine
B Cosine
C Tangent
Answer
Q40. If angle a is given, which ratio would you use to find the length of x?
A Sine
B Cosine
C Tangent
Answer
Q41. Which of the following would give you the size of angle a?
A Sin a–1 7/11
B Cos a–1 7/11
C Tan a–1 7/11
Answer
Q42. Find the length of x:
A 5cm
B 3cm
C 6cm
D 10cm
Answer
Q43. Find the length of y:
A 5.19cm
B 5cm
C 4.22cm
D 3cm
Answer
Q44. What is the circumference of semicircle x? Work to no more than three decimal places and take π as 3.14. Express your answer to the nearest whole cm.
A 236cm
B 138cm
C 150cm
D 387cm
Answer
Q45. Calculate the circumference of the circle. Work to two decimal places. Take π as 3.14.
A 8.164cm B 28.07cm
C 18.98cm D 4.47cm
Answer
Q46. What is the angle between the planes A,B,C,D and A,F,G,D?
A 29° B 52°
C 61° D 45°
Answer
Q47. For the box illustrated in Q46 find the length of the diagonal AG. Take the length of side BC to be 25cm.
A 32.05cm
B 37.15cm
C 35.41cm
D 44.78cm
Answer
Q48. Island A is 3 miles due east of island B and 4 miles due south of island C. What is the distance between islands B and C?
A 5 miles
B 12 miles
C 3 miles
D 4 miles
Answer
Q49. Calculate the size of a, using the cosine rule (not the same as ratio).
A 3.80cm
B 4.58cm
C 19.49cm
Answer
Q50. What is the length of the perimeter of the triangle?
A 26.40cm
B 11.52cm
C 28.32cm
D 12.32cm
Answer
End of test
Test 5: A further test of quantitative operations
Test instructions
This test consists of 50 questions.
You are allowed 40 minutes in which to complete it.
The test consists of a series of questions and labelled suggested answers to choose from. You are required to select one of the suggested answers as the correct one and to record that answer’s identifying label in the answer box.
Example question
Convert 44% into a fraction and express it in its lowest form:
A 44/100
B 22/50
C 11/25
D None of these
Answer C
Only use a calculator when absolutely necessary! Instead practise rounding figures to more convenient sums and estimating.
Attempt all questions in the allowed time and work without interruption or pause.
Do not turn the page until you are ready to begin the test.
Q1. Convert 3/8 into a percentage:
A 57.1%
B 16.6%
C 37.5%
D 33.3%
Answer
Q2. Convert the ratio 1:3:5 into a percentage. Work to only one decimal place.
A 11%:33.3%:55.5%
B 22%:66.6%:111%
C 10%:30%:60%
Answer
Q3. Convert 5/16 into a percentage (work to one decimal place):
A 29.3%
B 31.2%
C 33.3%
D 30.3%
Answer
Q4. Convert 4/7 into a percentage (work to one decimal point):
A 60.0%
B 55.3%
C 51.9%
D 57.1%
Answer
Q5. Is 23 a prime number?
A Yes
B No
Answer