The Advanced Numeracy Test Workbook - Mike Bryon [19]
D Impossible to tell
Answer
Q36. How many possible outcomes are there when a six-sided dice is rolled, a coin is tossed and a counter is drawn from a box of 70 red counters?
A 9
B 82
C 78
D None of these
Answer
Q37. On how many days could it rain in a leap year if the probability of it raining tomorrow is 1/3?
A 122 days
B 366 days
C 244 days
D None of these
Answer
Q38. How many three-digit numbers can you form with the numbers 6, 7, 8?
A 9
B 12
C 27
D 6
Answer
Q39. If the probability of it raining tomorrow is 1/4, what is the probability of it not raining tomorrow?
A 3/4
B 1/4
C 1/2
D None of these
Answer
Q40. P and Q are mutually exclusive events. The probability of P occurring is 2/5 and the probability of Q occurring is 1/2. What is the probability of both P and Q occurring at the same time?
A 1/5
B 9/10
C 1
D None of these
Answer
Q41. P and Q are mutually exclusive events, where the probability of P occurring is 2/5 and the probability of Q occurring is 1/2. What is the probability of either P or Q occurring?
A 1
B 9/10
C 1/5
D None of these
Answer
Q42. Two cards are drawn from a pack of 52. The first card is not returned before the second is drawn. What is the probability of the second card being a queen if the first was an ace of hearts?
A 4/51
B 4/663
C 1/13
D 4/52
Answer
Q43. What is the probability that the first two cards are not queens when drawn from a pack of 52 and the first card is not returned before the second is drawn? Express your answer on a probability scale of 1 to only two decimal points.
A 0.99
B 0.92
C 0.85
D 0.82
Answer
Q44. A restaurant chain’s customer service department has calculated that the probability of a customer returning a meal as unsatisfactory is 0.005. If the average restaurant serves 500 people a day, what is the possibility that two consecutive customers will return their food (assume they are independent events).
A 0.005 + 0.005
B 0.005 × 0.005
C 0.005 divided by 500
D 0.005 × 600
Answer
Q45. In a restaurant belonging to the chain described in Q44, how many times a year would you expect two consecutive customers to return their food? Assume the restaurant is open most if not all days a year.
A Between once and twice
B Between two and three times
C Between three and four times
D Between four and five times
Answer
Q46. Find the mean of the following data:
150, 200, 250, 275, 300, 325
A 1,500
B 250
C 500
D 750
Answer
Q47. Find x minus the mean of x when the value of x is taken as 150.
Answer
Q48. Using a calculator and taking the value of x to be 150, find:
Answer
Q49. Again using a calculator, find:
Answer
Q50. Find the standard deviation(s) for the following data using the formula and a calculator (only work each stage to one decimal place).
Answer
End of test
Tests 6 and 7
Advanced numeracy
This chapter comprises two 50-question tests with question types that are typical of the advanced numerical tests currently in use. Both tests include examples of the following type of question: quantitative reasoning, data sufficiency, data interpretation and comprehension of quantitative terms. In each case the questions start off relatively easy.
These tests are intended as a source of reinforcement for the concepts and operations described elsewhere in this volume and its companion, How to Pass Advanced Numeracy Tests (revised edition Kogan Page, 2008). It is also intended that these tests will provide further valuable practice under realistic test conditions.
Answers and many explanations are provided on pages 220–30 and an interpretation of your score is provided on page 248.
You should only require a calculator to answer a few of these questions. Instead, practise at estimating and rounding sums to more convenient amounts. If you do resort to a calculator, use it in order to understand the operation better or to check your answer.
Test 6: Advanced numeracy test
Test instructions
This test comprises 50 questions. Allow yourself 40 minutes to complete it.
The test