MCQ Questions

Question No. 1

A bag of fertiliser is required for a farm of two hectares. How many bags of fertiliser are required for a farm of seven hectares?

Answer :

Question No. 2

To lay the floor of a room, Bako needs four bags of cement. For every one bag of cement, Bako uses three wheelbarrows of sand. Find how many wheelbarrows of sand he will need to lay the floor.

Answer :

Question No. 3

Mr Okonta mixes 2 kg of flour with seven eggs to make enough cake for eight people. If 12 people are visiting him, what proportions of flour and eggs will he mix?

Answer :

Question No. 4

A man is paid ₦50 000 for eight days of work. What is his pay for:

Answer :

a) one day

b) 10 days

c) 22 days

Question No. 5

A car travels 122 km in two hours. How far does it travel in:

Answer :

a) one hour

b) four hours

c) x hours

Question No. 6

Pay & Take sells a pocket of 25 Granny Smith apples for ₦320. Shop More sells their pocket of 16 apples for ₦256. Which is the cheaper option?

Answer :

Question No. 7

Jimo’s Cash & Carry sells Extra Hot Curry Powder at ₦45 for 125 g. Ayoola’s Deli sells the same curry powder at ₦160 for 500 g. Which is the better deal?

Answer :

Question No. 8

Six pencils cost ₦195. What is the cost of eleven of the same type of pencil?

Answer :

Question No. 9

The cost of a train ticket varies according to the distance travelled. It costs ₦250 to travel 320 km.

Answer :

a) Calculate the cost of a journey of 140 km.

b) Calculate how far one can travel for ₦950.

Question No. 10

If 12 tomatoes cost ₦415, what will you pay for 20 tomatoes?

Answer :

Question No. 11

Consider the graph below, and answer the questions that follow.

Answer :

a) What kind of proportion does the graph represent?

b) Give five examples from real life that involve this relationship.

Question No. 12

It costs ₦25 for one minute of prepaid airtime. The graph on the next page shows the relationship between the cost of airtime and duration of calls. Study the graph, and answer the questions that follow.

Answer :

a) Are the call cost and duration of the call directly proportional? Give a reason for your answer.

b) Use the graph to estimate the cost of speaking for 4.5 minutes.

c) Write a rule that can be used to work out the cost of a phone call for each minute.

Question No. 13

The table below shows the cost of petrol for a given distance travelled.

Answer :

a) Calculate the missing values.

b) Describe the relationship between the cost of petrol and the distance travelled.

c) Plot the above points on a graph, with the distance travelled on the x-axis, and the cost of petrol on the y-axis.

Question No. 14

Use the graph below (not drawn to scale) to answer the questions.

Answer :

a) What form of proportion is suggested here?

b) Calculate the value of k.

Question No. 15

The table below shows the height of a candle after burning for a certain amount of time.

Answer :

a) Draw a graph to show the relationship between the height of the candle and time.

b) Use your graph to find the height of the candle after 1.5 hours.

c) How long will it take for the candle to burn down to 12.5 cm?

Question No. 16

The graph below shows the amount of money a man earns against the number of days worked.

Answer :

a) Draw up a table that shows the amount he earned for the first five days worked.

b) Divide the man’s salary by the number of days. What do you notice?

c) Use the graph to predict what the man will earn after eight days of work.

Question No. 17

Biola owns a supermarket and makes a profit of ₦70 000 every week. If the rate of profit remains the same each day, complete the table above to show her profit.

Answer :

a) What is the relationship between the days and the amount of profit?

b) Draw a graph of the relationship between the number of days and profit.

c) Do you think that this graph is useful to Biola to predict her profit? Give a reason for your answer.

Question No. 18

Look at the following tables and say whether x and y are directly proportional, inversely proportional, or neither.

Answer :

a) x: 2, 4, 6, 8 ; y: 7, 14, 21, 28

b) x: 2, 4, 6, 8 ; y: 7, 16, 23, 30

c) x: 5, 10, 20, 40 ; y: 8, 4, 2, 1

Question No. 19

A bag of corn can feed 50 chickens for 12 days.

Answer :

a) For how many days will the same bag feed 40 chickens?

b) How many bags of corn are needed to feed 20 chickens for 30 days?

Question No. 20

Fifteen men build a wall in five days. How long will it take the following number of men to build the wall?

Answer :

a) one man

b) 10 men

c) 20 men

Question No. 21

A 3-year-old girl has six sisters. Her youngest sister is 4 years old.

Answer :

a) How many sisters did she have when she was 1 year old?

b) How many sisters will she have when she is 5 years old?

c) How many sisters will she have when she is 17 years old?

Question No. 22

A piece of land has enough grass to feed eight cows for two days. How long will the feed last:

Answer :

a) for one cow

b) for 12 cows

c) for x cows?

d) If the farmer triples the size of the land, how many cows could he feed for two weeks?

Question No. 23

If it takes Ebhalelame five days to build a house, and it takes Emem seven days to build a house, how long will it take Ebhalelame and Emem to build a house together?

Answer :

Question No. 24

Five builders take 24 days to build a new classroom.

Answer :

a) How long will it take 10 builders to build the classroom?

b) How long will it take one builder to build the classroom?

c) How long will it take to build the classroom, if there are eight builders?

d) How long will it take 20 builders to build the classroom?

Question No. 25

The school kitchen makes sandwiches to sell at break time each day. It takes two people three hours to make the sandwiches.

Answer :

a) How long will it take one person?

b) How long will it take six people?

Question No. 26

The community needs a bridge to be built in two weeks. The workers work every day of the week, except on Sunday. What is the smallest number of workers required to finish the bridge in time?

Answer :

Question No. 27

It takes nine Mathematic teachers five working days to mark the exams. How many teachers would it take to mark the exams in the following times?

Answer :

a) three days

b) four days

c) If it takes 15 days to mark the exams, how many teachers are marking?

d) How long will it take p teachers to mark the exams?

Question No. 28

A man wants to build a rectangular pool with an area of 36 m². He is considering the dimensions he could use.

Answer :

a) Fill in the missing values in the table to help him decide on the possible lengths and breadths he could use. The dimensions are in metres.

b) Draw a graph of the above relationship.

c) What will the breadth of the pool be, if the length is 2.5 m?

Question No. 29

On the next page is a graph of the number of workers against the time taken in days to complete a job.

Answer :

a) What form of proportion is suggested here?

b) How many days will nine men take to complete the job?

c) If it took workers three days to complete the job, how many workers were working?

Question No. 30

The table below shows the relationship between the time it takes for a tennis ball to travel from one side of the court to the other.

Answer :

a) Describe the relationship between the speed and the time taken.

b) Draw a graph of the relationship.

c) How far has the ball travelled after 0.5 seconds? (Distance = speed × time)

d) Complete the table below for 1/speed.

e) Draw a graph of time against 1/speed and describe the relationship between the variables.

Question No. 31

If 24 sweets are shared between four children, each child will receive six sweets. If the sweets are shared by three children, each will receive eight sweets.

Answer :

a) Describe the relationship between the number of children and the number of sweets.

b) The graph below shows the relationship between the number of sweets and the number of children. Draw up a table of values using the graph.

c) Will there be enough sweets for 14 children? Give a reason for your answer.

Question No. 32

Your class is travelling by bus on an educational trip. The bus can seat 20 people and costs ₦8 000.

Answer :

a) Describe the relationship between cost per person for the bus and number of passengers.

b) Complete the table below.

c) Draw a graph to show the relationship between the number of passengers and the cost per person.

Question No. 33

Without using a calculator, find the reciprocals of these numbers.

Answer :

a) 1/8

b) 0.72

c) 37

d) 6

e) 2/5

f) 3/20

g) 0.51

Question No. 34

Use a table to find the reciprocals of the following numbers.

Question No. 35

The sets of numbers in the tables below are directly proportional to each other. Find the constant of proportionality and complete the missing numbers in the tables.

Answer :

a) 3 m² of carpeting that costs ₦20.

b) The average cost of travelling 100 km in my car is ₦530.

c) Ten books that cost ₦430.

d) A six pack of cooldrinks that costs ₦600.

e) If a and b are directly proportional.

Question No. 36

If z is directly proportional to x, and z = 18 when x = 6:

Answer :

a) express z in terms of x

b) calculate the value of z, when x = 15

c) calculate the value of x, when z = 75

Question No. 37

If A ∝ r³, copy and complete the following table.

Answer :

Question No. 38

If y varies directly as the square of x, and y = 12 when x = 4, find y when x = 9.

Answer :

Question No. 39

V varies directly as t + 3. If V = 28 when t = 1, calculate:

Answer :

a) the value of V, when t = 3

b) the value of t, when V = 49

Question No. 40

Given that r ∝ √A, copy and complete the table.

Answer :

Question No. 41

If y – 3 is directly proportional to x² and y = 5 and x = 2, find y when x = 6.

Answer :

Question No. 42

The amount of energy, E, stored in an elastic band varies as the square of the extension, x. When the elastic is extended by 2 cm, the amount stored is 128 joules.

Answer :

a) What is the amount of energy stored when the extension is 8 cm?

b) What is the extension when the amount of stored energy is 32 joules?

Question No. 43

If p and q are inversely proportional, complete the following table.

Answer :

Question No. 44

The table below holds for the relationship ‘y varies inversely as x varies’. Find the values of a and b.

Answer :

a) value of a

b) value of b

Question No. 45

If m is inversely proportional to n, and that m = 2 when n = 5, find:

Answer :

a) the relationship between m and n

b) the value of m, when n = 10

c) the value of n, when m = 6

Question No. 46

p is inversely proportional to q and p = 12 when q = 4.

Answer :

a) Calculate the constant of proportionality, k, and then find the rule relating p and q.

b) Find three more points and plot a graph of the relationship between q and p.

Question No. 47

If y is inversely proportional to x, and y = 2 1/2 when x = 2, find y when x = 4.

Answer :

Question No. 48

If S varies inversely to the square of t, and if S = 8 when t = 2, find S when t = 4.

Answer :

Question No. 49

Given that T varies inversely to √x, if T = 1.2 when x = 100, calculate:

Answer :

a) the value of T when x = 4

b) the value of x when T = 3

Question No. 50

Given that r ∝ 1/√x, copy and complete the following table.

Answer :

Question No. 51

H varies directly with the square of G and inversely with the root of U.

Answer :

a) Given that H = 4 when G = 25, and U = 169, find the value of the constant of proportionality. Then, write the formula that relates the variables.

b) Find H, when G = 7 and U = 81.

c) Find G, when H = 150 and U = 36.

Question No. 52

Y varies directly as the square of B and varies inversely as V.

Answer :

a) Express J in terms of B and V.

b) Calculate the constant of proportionality, when J = 600, V = 150 and B = 30.

c) Calculate B, when J = 800 and V = 40.

Question No. 53

If Y varies directly as G and inversely as the square root of I; and Y = 7, when G = 4, I = 8.

Answer :

a) Determine the relationship between Y, G and I.

b) Find Y, when G = 18 and I = 25.

c) Find G, when Y = 12.5 and I = 81.

d) Find I, when Y = 20 and G = 4.

Question No. 54

F varies directly as the square of H and inversely as the square root of C; F = 48 when H = 4, and C = 25.

Answer :

a) Express F in terms of H and C.

b) Find F, when H = 25 and C = 30.

c) Find C, when F = 12 and H = 7.

Chapter

Enter Your Book Codewwww

Enter Your Book Code

Insert 6 Digit Book Code

Enter the code sent to