Geometry - JSS3 Mathematics Past Questions and Answers - page 1

1

Which condition defines similar shapes in geometry?

A

Corresponding angles are equal and corresponding sides are proportional.

B

Corresponding angles are equal but corresponding sides may vary.

C

Corresponding sides are equal and corresponding angles may vary.

D

Shapes have identical dimensions.

correct option: a
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2

What does enlarging a figure mean in geometry?

A

Making it smaller while maintaining shape.

B

Making it larger while maintaining shape.

C

Changing its shape while maintaining size.

D

Keeping its size and shape unchanged.

correct option: b
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3

If two rectangles are similar and one has a length of 8 cm and width of 4 cm, while the other has a length of 12 cm, what is its width?

A

6 cm

B

8 cm

C

3 cm

D

5 cm

correct option: a
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4

What happens to the areas of two similar triangles if their scale factor is 3:2?

A

They are in the ratio 9:4.

B

They are in the ratio 3:2.

C

They are equal.

D

They are in the ratio 6:4.

correct option: a
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5

If the volume of a cube is increased by a scale factor of 4, what happens to its surface area?

A

It increases by a factor of 4.

B

It decreases by a factor of 4.

C

It decreases by a factor of 4.

D

It decreases by a factor of 16.

correct option: c
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6

If a circle has a diameter of 6 cm, what would be the diameter of a similar circle with a scale factor of 3:2?

A

3 cm

B

4 cm

C

9 cm

D

8 cm

correct option: d
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7

Two similar triangles have sides of 4 cm and 6 cm. If the scale factor between them is 3:2, what are the corresponding sides of the larger triangle?

A

12 cm and 18 cm

B

6 cm and 9 cm

C

8 cm and 12 cm

D

10 cm and 15 cm

correct option: a
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8

Which property is preserved when two shapes are similar?

A

Perimeter only

B

Area only

C

Volume only

D

All of the above

correct option: b
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9

If the scale factor between two similar squares is 5:3, what is the ratio of their areas?

A

25:9

B

5:3

C

9:25

D

3:5

correct option: a
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10

Two triangles are similar. The lengths of corresponding sides are in the ratio 3:5. If the smaller triangle has a perimeter of 24 cm, find the perimeter of the larger triangle.

Let the scale factor between the triangles be 

𝑘=5/3

Perimeter of the larger triangle =𝑘 × Perimeter of the smaller triangle

Perimeter of the larger triangle 

=5/3×24

Perimeter of the larger triangle 

=40 cm

Answer: Perimeter of the larger triangle is 40 cm.

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