MCQ Questions

Question No. 1

Convert each binary number to a decimal number

Answer :

a) 101₂

b) 10 110₂

Question No. 2

Convert each decimal number to a binary number

Answer :

a) 25₁₀

b) 83₁₀

Question No. 3

Convert each number to a decimal number

Answer :

a) 20₁₃

b) 3 120₄

c) 3 412₅

d) 67 ₄₈

Question No. 4

Convert 137₁₀ to each of the following bases

Answer :

c) base 5

d) base 8

a) base 3

b) base 4

Question No. 5

The relationship between speed, distance and time is shown in these diagrams: Distance = Speed × Time

Answer :

a) If a motorist travels at a constant speed, what kind of proportionality is there between distance and time? Give a reason for your answer.

b) If a motorist has to cover a given distance, what kind of proportionality is there between time and speed? Give a reason for your answer.

Question No. 6

Each student in an SS1 class has been asked to bring five items to school for recycling. Let x be the number of students who each bring five items to school and y be the total number of items.

Answer :

a) Write an equation to express y in terms of x.

b) What kind of proportionality is there between x and y?

c) What is the constant of proportionality in this case?

Question No. 7

The students in an SS1 class have been asked to raise funds for a fan for their classroom. The fan will cost ₦12 000. Let x be the number of students who are prepared to take part in this fund-raising event and let y be the amount of money that each student must raise.

Answer :

a) Write an equation to express y in terms of x.

b) What kind of proportionality is there between x and y?

c) What is the constant of proportionality in this case?

Question No. 8

Write down the reciprocal of each number.

Answer :

a) 4/5

b) 1/6

c) −5/13

d) 17/2

e) 3

f) −0.25

Question No. 9

If a given amount earns simple interest at a fixed interest rate, what kind of proportionality is there between SI and n? Give a reason for your answer.

Answer :

Question No. 10

Jire wants to invest ₦500 000 for 6 years. Bank A offers her 9% simple interest p.a., while Bank B offers her 8.5% compound interest p.a.

Answer :

a) How much interest will Jire’s investment earn if she invests her money in Bank A?

b) How much interest will Jire’s investment earn if she invests her money in Bank B?

c) Which option should Jire choose? Give a reason for your answer.

Question No. 11

If Jire was borrowing the money at the same rates as stated in question 2, which option should she choose? Give a reason for your answer.

Answer :

Question No. 12

If the value of a tractor depreciates by 12.5% p.a., how many years will it take for the value of the tractor to halve? (Hint: trial-and-improvement.)

Answer :

Question No. 13

If 1 ℓ of milk costs ₦400 and the inflation rate is constant at 8.5% p.a., what will 1 ℓ of milk cost in 10 years’ time?

Answer :

Question No. 14

Say if each number is rational or irrational. Give a reason for your answer.

Question No. 15

Tunde constructed a circle with a radius of 6 cm. He measured the circumference of the circle and found it to be 37.7 cm, correct to the nearest millimetre. From this he deduced that the value of π must be 3.1416.

Answer :

a) Explain, by calculation, how Tunde arrived at the number of 3.1416 for π.

b) As a result of this experiment, Tunde claims that π is a rational number. What is the flaw in his argument?

Question No. 16

Factorise each expression.

Question No. 17

Without using a calculator, evaluate the following: 57² − 53²

Answer :

Question No. 18

Solve for x.

Answer :

a) x/3 + x/5 = 4

b) 5 − x/3 = x/2

c) (5x − 1)/3 = (x + 4)/4

d) (3x − 4)/2 = (4x + 5)/3 − (x − 1)/6

e) 1 − ½(x + 3) = ¾(2x − 1)

f) 6 = 18/(4 − x)

g) (x + 1)/(x − 2) = (x − 1)/(x − 3)

h) (2x − 4)/(x + 1) = (2x + 1)/(x + 2)

Question No. 19

Make h the subject of the formula V = l b h.

Answer :

Question No. 20

Make r the subject of the formula C = 2 π r.

Answer :

Question No. 21

Make P the subject of the formula A = P (1 + r/100)^n.

Answer :

Question No. 22

Make b the subject of the formula A = 2 ( l h + l b + b h ).

Answer :

Question No. 23

Make s the subject of the formula V = s³.

Answer :

Question No. 24

Make b₁ the subject of the formula A = ½ h ( b₁ + b₂ ).

Answer :

Question No. 25

Make a the subject of the formula S = (n/2) [ 2 a + (n − 1) d ].

Answer :

Question No. 26

Use elimination to solve for x and y in each pair of equations.

Answer :

a) y − x = 1 and x + y = −35

b) y − x = 5 and y − 2x = 0

c) 3x + 5y = 11 and 4x − 3y = 34

Question No. 27

Use substitution to solve for x and y in each pair of equations.

Answer :

a) x + y = 3 and y = x + 1

b) x = y + 3 and x + y = 13

c) x = −y and x − y = 10

Question No. 28

Use any method that you like to solve for x and y in each pair of equations.

Answer :

a) x = y − 2 and x + y = 8

b) y = 1 − x and y = −2x + 7/4

c) x + y = 0.6 and y = −4x

d) y = 5/4 x and x + y = 1

e) y = 1 − x and y = 3x + 1/5

f) x + y = −0.125 and y = −1.5x

Question No. 29

Use the trigonometric tables on pages 286 to 291 or a calculator to calculate each of the following, correct to two decimal places.

Answer :

a) sin 33°

b) cos 15.6°

c) tan 88.2°

d) sin 67.3°

Question No. 30

Use the trigonometric tables or a calculator to calculate the value of θ in each of the following, correct to one decimal place.

Answer :

a) cos θ = 0.93

b) tan θ = 1.6

c) sin θ = 0.69

d) cos θ = 0.27

Question No. 31

In the diagram below, a hiker is standing at point H, 70 m from the base of a vertical cliff MN. She spots a monkey sitting on the edge of the cliff at point M. The angle of elevation from the hiker to the monkey is 35.5°. She then walks a distance of 25 m in a straight line towards the base of the cliff. The angle of elevation from this new point, K, to the monkey is θ.

Answer :

a) Calculate the height of the cliff (MN), correct to the nearest metre.

b) Calculate the size of angle θ, correct to the nearest degree.

c) Use your answer to questions a) and b) to calculate the straight-line distance KM, correct to the nearest metre.

Question No. 32

The bearing of point B from point A is 113°. Draw a rough sketch and calculate the bearing of point A from point B.

Answer :

Question No. 33

Sumbo constructed a circle with a radius of 15 cm and then shaded a sector of the circle, with an angle of 75° at the centre. Calculate each of the following, correct to two decimal places.

Answer :

a) the circumference of the whole circle

b) the area of the whole circle

c) the circumference of the shaded sector

d) the area of the shaded sector

Question No. 34

A traffic warden counted the number of people in vehicles passing by. She summarised her data in this frequency table.

Answer :

a) Write down the numbers and tallies that are missing in the table.

b) How many vehicles are represented in the frequency table?

c) How many people are represented in the frequency table?

d) Draw a bar graph of the data in the frequency table.

Question No. 35

The manager at a hotel in Lagos made a list of the foreign guests who were booked into the hotel for the weekend. He wanted to represent this data in a pie chart. He started off doing his calculations in the table below.

Answer :

a) Check the manager’s calculations of the percentages. Note that he has rounded the percentages off to the nearest whole number.

b) Check his calculations of the sector angle for the French tourists. Note that he has rounded the angle off to the nearest whole number.

c) Calculate the angles for each of the other sectors.

d) Calculate the total for all the angles. Does your total equal 360°? If not, check your calculations again.

e) Draw a pie chart of this data. Write the name of each nationality inside its sector.

Question No. 36

Find i) the mean, ii) the median, iii) the mode and iv) the range of each of these data sets.

Answer :

a) 3, 3, 4, 3, 5, 5, 2, 4, 7

b) 4, 26, 2, 25, 13, 27, 12, 13, 2, 11

c) −23, −21, 9, −30, −40, 38, −34, 20, −14, 28, −32

Question No. 37

Find all the data values in the data set for which you are given the following clues: There are five data values in the data set. The median is 9. The mode is 6. The range is 12. The mean is 11.

Answer :

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