Lesson T4.4.3
T4.4.3 Similarity and enlargement Quiz: KS3 Maths, Unit 4
20 questions
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Lesson T4.4.3, Similarity and enlargement: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 4: Geometry and measures, written with Revision Ninja.
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The 20 questions
-
What defines shapes that are mathematically similar to each other?
- Same area
- Same perimeter
- Same shape
- Same size
-
An enlargement with a scale factor of 3 does what to a shape?
- Triples lengths
- Adds three
- Rotates three
- Triples area
-
A rectangle 4 cm by 6 cm is enlarged by scale factor 2. What are its new dimensions?
- 6 cm by 8 cm
- 8 cm by 12 cm
- 12 cm by 18 cm
- 2 cm by 3 cm
-
What does an enlargement with a scale factor of one half mean?
- Halves lengths
- Halves angles
- Removes half
- Doubles size
-
A triangle with sides 3, 4 and 5 cm is enlarged by scale factor 3. What are the new sides?
- 6, 7 and 8 cm
- 9, 4 and 5 cm
- 3, 12 and 15 cm
- 9, 12 and 15 cm
-
In any pair of mathematically similar triangles, what is true of corresponding angles?
- They are equal
- They are proportional
- They add to 360
- They are halved
-
A length of 4 cm on one shape becomes 10 cm on a similar shape. What is the scale factor?
- 0.4
- 40
- 6
- 2.5
-
A length of 12 cm is scaled by 0.25. What is the new length?
- 3 cm
- 12.25 cm
- 48 cm
- 0.3 cm
-
During an enlargement, what name is given to the fixed scaling reference point?
- Pivot point
- Midpoint
- Origin point
- Centre of enlargement
-
Which quantity is NOT changed by an enlargement?
- Areas
- Angles
- Lengths
- Perimeters
-
A map has scale 1 cm to 20 m. A path is 7 cm long on the map. What is its real length?
- 1400 m
- 140 m
- 27 m
- 2.8 m
-
A photo is 6 cm wide and is enlarged by scale factor 4. What is the new width?
- 24 cm
- 10 cm
- 1.5 cm
- 2.4 cm
-
A shape has area 5 cm². It is enlarged by scale factor 2. What is the new area?
- 20 cm²
- 25 cm²
- 10 cm²
- 7 cm²
-
Triangle A has a side of 5 cm and a similar triangle B has the matching side 8 cm. What is the scale factor from A to B?
- 1.6
- 13
- 3
- 0.625
-
Shape A has area 9 cm². A similar shape B has a scale factor of 3 for lengths. What is the area of B?
- 9 cm²
- 81 cm²
- 27 cm²
- 3 cm²
-
A triangle with angles 40, 60 and 80 degrees is enlarged by scale factor 2. What are its new angles?
- 80, 120 and 160 degrees
- 40, 60 and 80 degrees
- 20, 30 and 40 degrees
- 90, 60 and 30 degrees
-
A rectangle is 4 cm by 10 cm. A similar rectangle has width 6 cm. What is its length?
- 16 cm
- 6.67 cm
- 60 cm
- 15 cm
-
Which two shapes are always similar?
- Two rectangles
- Two equilateral triangles
- Two kites
- Two parallelograms
-
A model car is made at a scale of 1 to 20. The real car is 4 m long. How long is the model?
- 20 cm
- 2 cm
- 5 cm
- 80 cm
-
A shape is enlarged by scale factor 2 from a fixed centre. A point is 3 cm from the centre. What is its new distance from the centre?
- 5 cm
- 1.5 cm
- 6 cm
- 9 cm
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