MCQ Questions

Question No. 1

Have a ruler and a pair of scissors handy for this exercise. Your teacher will give you an enlarged copy of the quadrilaterals below.

Answer :

a) Cut out the shapes neatly.

b) Investigate the unique properties of each figure, by comparing them and by measuring the angles, the sides and the diagonals.

c) Complete the table of properties on the next page by placing ticks in the correct blocks.

Question No. 2

Study the shapes below.

Answer :

a) a rhombus

b) a trapezoid

c) a shape that is a parallelogram and a rectangle

d) a shape that is a square and a parallelogram

Question No. 3

On a piece of dot paper, draw five different parallelograms. Explain why each parallelogram is different.

Answer :

Question No. 4

You are given the following attributes of quadrilaterals: two pairs of opposite sides are equal; two pairs of opposite angles are equal; the diagonals bisect each other. Use dotted paper to sketch and name as many quadrilaterals as you can, that have each attribute.

Answer :

Question No. 5

From the box below find the best name used to describe each of the following shapes.

Answer :

a) …

b) …

c) …

d) …

e) …

Question No. 6

Name the quadrilateral that fits the description below.

Answer :

a) A quadrilateral with two pairs of adjacent sides equal

b) A quadrilateral with diagonals of equal length

c) A quadrilateral where the diagonals bisect at 90°

d) A quadrilateral where only one diagonal is bisected

e) A quadrilateral where the diagonals bisect both opposite angles

f) A quadrilateral with two pairs of opposite sides parallel

g) A quadrilateral with two pairs of opposite sides equal

h) A quadrilateral where all the sides are equal

Question No. 7

Is a trapezium a parallelogram? Give a reason for your answer.

Answer :

Question No. 8

Consider the shape below.

Answer :

a) What quadrilateral is shown in the picture?

b) One of the properties of the shape is shown in the picture. Name all the other properties of this shape.

c) If the angles of the rhombus were 90°, what is the name of this shape?

d) What can you say about the diagonals of the shape named in (c)?

Question No. 9

Say whether the following statements are true or false.

Answer :

a) The diagonals of a rectangle are equal and they bisect each other.

b) The diagonals of a kite bisect at 90°.

c) In a parallelogram where all the sides are equal, the angles are also all equal.

d) The diagonals of a rhombus are all equal and they bisect each other.

e) A parallelogram where all the angles are 90° and the diagonals are equal, can only be a rectangle.

Question No. 10

Use the properties of the quadrilaterals to find x in the following.

Answer :

a) PQRS is a rectangle.

b) TVYZ is a trapezium.

c) PQRS is a rhombus.

d) ABCD is a kite. Find x and y.

Question No. 11

Complete the table below by giving your own example of each of the shapes in everyday life.

Answer :

Trapezium

Kite

Parallelogram

Square

Rectangle

Question No. 12

The picture below shows a traditional Navaho Indian design. Name all the shapes that you can see in the design.

Answer :

Question No. 13

Design your own quilt by colouring in the template below. Your teacher will provide you with a copy of the template. Your quilt has to include:

Answer :

a) Either two isosceles trapeziums or a polygon with more than four sides

b) Parallelogram

c) Square or rhombus

d) Rectangle

Question No. 14

The drawing below is the design for a carpet. Choose, from the labelled shapes in the design, the following:

Answer :

a) a square: F

b) a trapezium: B

c) a kite: A

d) a parallelogram that is not a rectangle or a rhombus: C

e) a rhombus, of which the diagonals are not equal: E

Question No. 15

The diagram below is a scale drawing of a butterfly. What is the size of the butterfly’s wingspan in real life?

Answer :

Question No. 16

Find the length of the following objects and the scale factor:

Answer :

a) 0.5 cm = 1.5 m

b) 5 cm = 5 m

Question No. 17

A house plan is drawn using a scale of 1 : 75.

Answer :

a) If the front door measures 2.4 cm on the plan, how tall is the door in reality?

b) The plot of land on which the house will be built is 24 m wide. What is the corresponding length on the plan?

Question No. 18

A man has a plan for his new house drawn to a scale of 1 : 50. He draws the simplified diagram below with the measurements taken from the scale plan. Calculate, in metres, the height of the roof.

Answer :

Question No. 19

Given that the scale of a map is 1 : 100 000, what will a length of 450 cm on the map represent in:

Answer :

a) cm?

b) m?

c) km?

Question No. 20

The scale of a map is 1 : 20 000. What area does 16 cm² represent?

Answer :

Question No. 21

The floor plan of a first-floor addition to Okwute and Olabisi’s house is shown below.

Answer :

a) How many doors are shown on this plan?

b) The measurements of the bathroom is 2 cm by 2 cm. Calculate actual measurements in m.

c) Okwute and Olabisi are going to place a bed (1.8 m long by 1.8 m wide) in Bedroom 1, below the window. Make a scale drawing of the bed.

Question No. 22

Ms Dbia has the following floor plan for a new house that she wants to have built. The outer dimensions of Bedroom 2 are 3.45 m × 3.45 m. Measure the dimensions of Bedroom 2 on the plan and determine the scale used.

Answer :

a) Measure the dimensions of Bedroom 2 on the plan.

b) Determine the scale used.

Question No. 23

Use a scale of 1 : 100 to draw scale drawings of the heights and lengths of the following animals.

Answer :

TABLE

Question No. 24

Hassana goes to Egypt and sees a model of a triangular pyramid. The dimensions of the model is shown below. She enlarges it using a scale factor of 1 : 2. Make a scale drawing of the enlarged shape, showing all measurements.

Answer :

DIAGRAM

Question No. 25

Adaoma walks from home to church. The distance is 750 m. She turns right and walks to school that is 450 m away. After school, she turns 90° and walks 600 m back home. Make a scale drawing of her journey. Use a scale of 1 : 10 000.

Answer :

Question No. 26

Measure, to an appropriate degree of accuracy, all relevant lengths, and then choose a suitable scale, and draw plans for the following:

Answer :

a) your classroom

b) your bedroom

c) the playground

Question No. 27

Draw a scale diagram of a room, with a width of 20 cm and length of 25 cm. Make scale drawings of the furniture shown in the table below, and place them in the room.

Answer :

Question No. 28

Your school is staging a concert and asks you to design the décor for the stage. The stage is 12 m by 8 m. Make a scale drawing of the stage using a scale of 1 : 200.

Answer :

Question No. 29

Complete the table below.

Answer :

Question No. 30

The distance on a map between a farm and the nearest town is 55 mm. The scale on the map is 1 : 22 500. Use the scale to calculate the actual distance in kilometres. (1 km = 1 000 000 mm.)

Answer :

Question No. 31

A distance between two points on a map is 3 cm. The actual distance between the two points is 15 km. Determine the scale used on the map.

Answer :

Question No. 32

Use the map below to answer the following questions. The scale on the map is 2.5 cm to 200 km.

Answer :

a) What is the distance, in km, from Benin City to Abuja?

b) Osarogie drives from Benin City to Abuja at an average speed of 110 km/h. How long will the journey take? Use the formula time = distance / speed.

c) Osarogie’s car uses 11 ℓ of petrol per 100 km. How much fuel does she need for the journey?

Question No. 33

The map below shows the Trans-African highway from Lagos to Mombasa.

Answer :

a) After leaving Lagos, what will the first country be that you enter, if travelling along the highway?

b) The entire length of the highway is 6 259 km. If the scale on the map is 1 : 50 000 000, what will the measurement of the highway be on the map in cm?

Question No. 34

Mfoniso is a Nigerian medical student on an exchange programme to South Africa. He is based at the Polokwane Hospital, but will also spend time at the Pietersburg Medi-Clinic. Use the map on the next page of the centre of Polokwane in Limpopo to answer the following questions.

Answer :

a) The Pietersburg Medi-Clinic takes up a whole block. Write down the names of the streets around the Medi-Clinic (with its entrance in Hospital Street), to the Pietersburg Medi-Clinic (with its entrance in Burger Street).

b) Give Mfoniso directions to travel from Polokwane Hospital (with its entrance in Hospital Street), to the Pietersburg Medi-Clinic (with its entrance in Burger Street).

c) On the map, the distance between the Polokwane Hospital and the Pietersburg Medi-Clinic is 50 mm. The scale is 1 : 40 500. Use the scale to give Mfoniso this distance in kilometres.

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