MCQ Questions

Question No. 1

Write down the base of each number.

Answer :

k) 211₃

l) 3 122₄

m) 434₇

n) 3 006₄

o) 625₅

j) 89

a) 5₆

b) 15

c) 11₂

d) 17₈

e) 28₉

f) 49₁₂

g) 14

h) 11₂

i) 46₇

Question No. 2

Expand the numbers in their respective bases.

Answer :

a) 11₅

b) 211₃

c) 3 122₄

d) 51 361₇

e) 1 111₉

Question No. 3

Write down the value of the digit 5 in these numbers.

Answer :

a) 105₈

b) 512₇

c) 125

d) 1 520

Question No. 4

Write 3 245₆ in the base 6 place value system. Explain the meaning of each digit.

Answer :

Question No. 5

Write 51 362₇ in the base 7 place value system. Explain the meaning of each digit.

Answer :

Question No. 6

Change these numbers to base 8 numbers.

Answer :

a) 66

b) 54

c) 77

d) 778

e) 999

Question No. 7

Change each number to a base 6 number.

Answer :

a) 67

b) 55

c) 78

d) 779

e) 1000

Question No. 8

Change each number to a base 5 number.

Answer :

a) 68

b) 56

c) 79

d) 780

e) 1001

Question No. 9

Change each number to a base 7 number.

Answer :

a) 69

b) 57

c) 80

d) 781

e) 1002

Question No. 10

Convert the following binary numbers to base 10 numbers.

Answer :

a) 111

b) 110101

c) 1100001

d) 1001011

e) 11000

f) 11110

g) 1110

h) 100001

Question No. 11

Convert the following base 10 numbers to binary numbers.

Answer :

a) 710

b) 1910

c) 5810

d) 12310

e) 19510

f) 10410

g) 9110

Question No. 12

Convert the following numbers to base 2 numbers.

Answer :

a) 112₉

b) 131₆

c) 1566₈

d) 22₄

e) 102₃

f) 64₆

Question No. 13

Convert 10101010₂, first to a decimal number and then to a number in base 3.

Answer :

Question No. 14

A certain binary number has three digits.

Answer :

a) What is the smallest and the largest numbers possible?

b) Convert these numbers to base 10.

Question No. 15

Calculate the difference between the base 10 number 11111 and the binary number 11111 and give your answer in base 10.

Answer :

Question No. 16

“Flip a coin” Prediction for most frequent outcome: Heads/Tails

Answer :

Question No. 17

“Roll 1 die” Prediction for most frequent outcome: 1 2 3 4 5 6

Answer :

Question No. 18

“Pick a card colour” Prediction for most frequent outcome: Red/Black

Answer :

Question No. 19

“Pick a card suit” Prediction for most frequent outcome: Clubs (♣)/Spades (♠)/Diamonds (♦)/Hearts (♥)

Answer :

Question No. 20

“Pick an exact card”

Answer :

Question No. 21

In which game of chance were your predictions most accurate?

Answer :

Question No. 22

Complete the table below, writing down the probability for each event. Use the results from your experiments in Questions 1 to 5 to calculate the experimental probabilities.

Answer :

Question No. 23

Compare the theoretical and experimental probabilities for each game of chance. Were the theoretical and experimental probabilities in your experiments close to each other?

Answer :

Question No. 24

Consider the spinner below.

Answer :

a) What is the probability of choosing an odd number?

b) What is the probability of choosing an even number?

c) What is the probability of choosing a prime number?

d) What is the probability of choosing 1 or 5?

e) What is the probability of choosing 3 or 4?

Question No. 25

There are 5 white balls, 8 red balls, 7 yellow balls and 4 green balls in a container. A ball is chosen at random. Give all your answers as a fraction, a decimal and a percentage.

Answer :

a) What is the probability of choosing red?

b) What is the probability of choosing green?

c) What is the probability of choosing either red or white?

d) What is the probability of choosing neither white nor green?

e) What is the probability of choosing other than yellow?

f) What is the probability of choosing black?

Question No. 26

Identify more likely, less likely, equally likely, sure and impossible events.

Answer :

a) Selecting of a white ball from a box with 5 white balls, 8 red balls and 10 yellow balls.

b) Selecting of a black card from a deck of cards.

c) The chance of getting an even number when a die is rolled.

d) Selecting of a red marble from a box with 12 white marbles.

e) Selecting of a red marble from a box with 12 white balls.

f) Selecting a boy for a field trip from a group of 35 students, of which 12 are girls.

Question No. 27

A month is chosen from a year.

Answer :

a) Find the probability of selecting a month with 31 days.

b) Find the probability of selecting a month ending with the letter Y.

c) Find the probability of selecting a month ending with the letter R.

d) Find the probability of choosing a month either starting with the letter J or ending with the letter Y.

e) Find the probability of selecting a month that starts with the letter J and ends with the letter Y.

Question No. 28

A die, numbered 1 to 6, is rolled once. What is the probability that a 5 is gotten?

Answer :

Question No. 29

A wardrobe contains 3 blue shirts and 4 white shirts. A shirt is selected at random from the wardrobe. Find the probability that a white shirt is selected.

Answer :

Question No. 30

A box has 6 packets of chewing gum. A packet is selected at random from the box. Find the probability that it is a chocolate.

Answer :

Question No. 31

The probability of an event happening is: Find the probability of the event failing to happen in each case.

Answer :

a) 3/4

b) 7/8

c) 12/17

d) 4/31

e) 17/19

Question No. 32

A bag contains 11 green balls and 14 yellow balls. A ball is selected at random from the bag. Find the probability that it is:

Answer :

a) green

b) yellow

Question No. 33

Mayowa has a bag containing 10 oranges and 7 apples. He selects a fruit at random from the bag. What is the chance of it being an apple?

Answer :

Question No. 34

A number is selected at random from the set (1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Find the probability that it is:

Answer :

a) odd

b) even

Question No. 35

From the set of numbers 1 to 20, a number is selected. Find the probability that it is:

Answer :

a) odd

b) even

Question No. 36

A letter is selected at random from the English alphabet. Find the probability that it is:

Answer :

a) a vowel

b) a consonant.

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