MCQ Questions

Question No. 1

Draw a graph for a range from 0 to 100 miles to convert miles to kilometres, given that 1 m = 1.60 km. Draw the miles-axis horizontally and calibrate it from 0 to 100 m, and draw the km-axis vertically, calibrated from 0 to 160. Use 2 cm to represent 20 units. Use your graph to find:

Answer :

a) how many km are equivalent to 70 m

b) how many m are equivalent to 100 km

Question No. 2

Draw a graph to convert temperatures from the Celsius scale (°C) to the Fahrenheit scale (°F). Draw the °C-axis horizontally and label it from 0 to 100, using a scale of 2 cm to represent 20 units. Draw the °F-axis vertically and label it from 0 to 220, using a scale of 2 cm to represent 20 units. When the temperature is 0 °C, it is 32 °F, so plot a point at (0; 32). This is the temperature at which water freezes. When the temperature is 100 °C, it is 212 °F, so plot a point at (100; 212). This

Answer :

a) °F when it is 20 °C, 65 °C and 95 °C

b) °C when it is 200 °F, 195 °F and 98.4 °F

Question No. 3

Construct a conversion graph for changing marks in a test out of 60 to percentages. Use your graph to find:

Answer :

a) what percentages are equivalent to the marks 45, 39 and 20 out of 60?

b) what marks out of 60 give the percentages 64, 80 and 20?

Question No. 4

Suppose the exchange rate between ₦ and the South African rand (R) is ₦14 = R1.

Answer :

a) Complete the table below.

b) Draw a graph to convert between ₦ and rands.

c) Use the graph to find out the value of R60 in ₦.

d) How much is ₦550 in rands?

Question No. 5

Ayanti started walking from home at 9:00 a.m. Her home is a distance of 3 km from the library. The graph below shows her journey.

Answer :

a) Calculate her walking speed.

b) What distance had she travelled at 11:00 a.m.?

c) What does the straight-line graph tell us about her walking speed?

d) Write the equation of this line in the form d = mt + c, where d is the distance, m is Ayanti’s speed of walking, and c is the intercept on the distance axis.

e) What does m represent on this graph? Relate this to the general form of the gradient of a line, Δy/Δx.

Question No. 6

Graphs (i) and (ii) show the distance–time graphs of two journeys.

Answer :

a) Which of these graphs represents an impossible situation? Explain your answer.

b) Describe what is happening in the other graph.

Question No. 7

The graph below shows the journeys of two children, Chimezie and Tayo. They leave their homes at different times and travel 6 km to a supermarket to buy their school supplies. Chimezie walks and the line PQRS shows his journey. Tayo rides her bicycle and the line AS shows her journey. Answer the following questions from the graph:

Answer :

a) At what times did Chimezie and Tayo leave home?

b) How long did it take Chimezie to walk the part PQ of the journey?

c) When did Chimezie stop to rest?

d) During part RS, how far did Chimezie walk?

e) How far was Chimezie from Tayo at 10:45 a.m. and where was Tayo at this time?

f) At what time did Tayo arrive at the supermarket and what was her speed for the journey as shown by the line AS?

g) How far apart were the children at 11:15 a.m.?

Question No. 8

A cyclist cycles at 18 km/h from Points A to B, a distance of 108 km.

Answer :

a) If he leaves Point A at 9 a.m., what time will he reach Point B, assuming he does not stop on the way?

b) How far will the cyclist be from Point A at: i) 10 a.m.; ii) 11 a.m.; iii) 12 p.m.; iv) 1 p.m.

c) Meanwhile a car leaves Point A at 12 p.m. and travels towards Point B at 45 km/h. Represent the cyclist’s and the car’s journeys as graphs on the same axes.

d) What can you say about the point where the two lines meet?

Question No. 9

This graph shows the velocity of an airplane in km/min. Answer the questions using the graph.

Answer :

a) How long did it take the airplane to reach a velocity of 10 km/min?

b) How long did it take the airplane to reach the maximum velocity?

c) Is the velocity increasing or decreasing at 18 minutes?

d) Calculate the distance travelled at the constant speed of 20 km/min.

e) Calculate the acceleration and deceleration in km/min.

f) Calculate the total distance travelled.

g) Calculate the average velocity for the whole journey.

Question No. 10

Interpret this velocity–time graph.

Answer :

Question No. 11

A train accelerates uniformly from rest and reaches a maximum velocity of 4 km/min in 2 minutes. It then maintains this velocity for 3 minutes and then takes another 3 minutes to come to rest. Draw a velocity–time graph of the train and use it to answer the following questions:

Answer :

a) How long did it take the train to reach a velocity of 3 km/min?

b) Calculate the distance the train travelled at the steady velocity of 4 km/min.

c) Find the distance travelled after decelerating from this steady velocity to come to rest in the last 3 minutes.

d) Calculate the total distance the train travelled.

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