# Immigration Recruitment: NIS Past Questions and Answers – 2023 Updated

NIS Mathematics Questions

1: What is the probability of having an odd number in a single toss of a

fair die?

(a) 1/6

(b) 1/3

(c) ½

(d) 2/3

Answer: C

Use the following information for question 2 and 3

The surname of 40 children in a class was arranged in alphabetical

order,16 of the surnames begin with O and 9 of the surnames begin

with A. 14 letters of the alphabet do not appear as the first letter of a

surname.

2: What is the probability that the surname of a child picked at random

from the class begins with either O or A?

(a) 5/8

(b)7/8

(c)9/16

(d)14/25

Answer: A

3: If more than one surname begins with a letter besides A and O, how

many surnames begin with the letter?

(a) 2

(b) 3

(c) 4

(d) 6

Answer: B

The table gives the score of a group of students in an English language

test.

Scores 2 3 4 5 6 7

No. of Students 2 4 7 2 3 2

4: If a student is chosen at random from the group, what is the

probability that he scored at least 6 marks?

(a) 3/20

(b) 1/5

(c) ¼

(d) 3/10

Answer: C

5: What is the probability that three customers waiting in a bank will be

served in the Sequence of their arrival at the bank?

(a) 1/6

(b) 1/3

(c) ½

(d) 2/3

Answer: A

6: The probability that Kodjo and Adoga pass an examination are ¾ and

3/5 respectively. Find the probability of both boys failing the

examination.

(a) 1/10

(b) 3/10

(c) ½

(d) 2/3

Answer: A

7: The mean of 20 observations in an experiment is 4. If the observed

largest value is 23, Find the mean of the remaining observations.

(a) 4

(b) 3

(c) 2.85

(d) 2.60

Answer: A

8: A group of eleven people can speak either English or French or both.

Seven can speak English and six can speak French. What is the

probability that a person chosen at random can speak both English and

French?

(a) 2/11

(b) 4/11

(c) 5/11

(d) 11/13

Answer: B

If events X and Y are mutually exclusive, P(X) = 1/3 and P(Y) = 2/5, Use

the information to answer questions 9 & 10.

9: P (X n Y) is

(a) 0

(b) 2/15

(c) 4/15

(d) 11/15

Answer: A

10: P (X u Y) is

(a) 0

(b) 2/15

(c) 4/15

(d) 11/15

Answer: A

11: A box contains 2 white and 3 blue identical marbles. If two marbles

are picked at Random, one after the other, without replacement, What

is the probability of picking two marbles of different colours?

(a) 2/3

(b) 3/5

(c) 2/5

(d) 7/20

Answer: D

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