Geometry - JSS3 Mathematics Past Questions and Answers - page 1
1
Which condition defines similar shapes in geometry?
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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.
2
What does enlarging a figure mean in geometry?
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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.
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?
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A
6 cm
B
8 cm
C
3 cm
D
5 cm
4
What happens to the areas of two similar triangles if their scale factor is 3:2?
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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.
5
If the volume of a cube is increased by a scale factor of 4, what happens to its surface area?
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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.
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?
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A
3 cm
B
4 cm
C
9 cm
D
8 cm
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?
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A
12 cm and 18 cm
B
6 cm and 9 cm
C
8 cm and 12 cm
D
10 cm and 15 cm
8
Which property is preserved when two shapes are similar?
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A
Perimeter only
B
Area only
C
Volume only
D
All of the above
9
If the scale factor between two similar squares is 5:3, what is the ratio of their areas?
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A
25:9
B
5:3
C
9:25
D
3:5
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.
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