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

  1. Similar shapes are what?

    • Identical in size and shape
    • Same area
    • Same shape but different size
    • Same size but different shape
  2. An enlargement with scale factor 3 means what?

    • Each length is multiplied by 3
    • Each length is divided by 3
    • Each angle is multiplied by 3
    • Each length has 3 added to it
  3. 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
  4. What does a scale factor of one half mean?

    • A reduction to half the size
    • An enlargement by 2
    • A rotation of the shape
    • No change in size
  5. 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
  6. In similar triangles, what is true of corresponding angles?

    • They are equal
    • They are random
    • They add up to 180 degrees
    • They are doubled
  7. 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
  8. 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
  9. What is the centre of enlargement?

    • The midpoint of the longest side of the shape
    • A point that is not on the shape or its image
    • The corner of the shape that is enlarged first
    • The fixed point that lines are scaled from
  10. Which quantity is NOT changed by an enlargement?

    • Areas
    • Angles
    • Lengths
    • Perimeters
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. A triangle with angles 40, 60 and 80 degrees is enlarged. What are its angles now?

    • Doubled to 80, 120 and 160 degrees
    • Still 40, 60 and 80 degrees
    • Halved to 20, 30 and 40 degrees
    • Each becomes 60 degrees
  17. 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
  18. Which two shapes are always similar?

    • Two rectangles
    • Two equilateral triangles
    • Two kites
    • Two parallelograms
  19. 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
  20. 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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