Lesson G19
G19 Lengths, areas and volumes in similar figures Quiz: AQA Maths, Unit 4
20 questions
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Lesson G19, Lengths, areas and volumes in similar figures: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 4: Geometry and measures, written with Revision Ninja.
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The 20 questions
-
What two properties must congruent shapes have in common?
- Size and perimeter
- Shape and size
- Shape and area
- Angles and area
-
Which property is identical in all similar 2D shapes?
- Corresponding lengths
- Surface areas
- Perimeters
- Corresponding angles
-
Two similar triangles have corresponding sides of 3 cm and 12 cm. What is the scale factor from the smaller to the larger?
- 4
- 9
- 0.25
- 3
-
A map has scale 1:50 000. A road measures 6 cm on the map. What is its real length?
- 0.3 km
- 300 km
- 3 km
- 30 km
-
(H) Two similar shapes have a length scale factor of 5. What is the scale factor for their areas?
- 125
- 10
- 25
- 5
-
(H) Two similar solids have a length scale factor of 2. What is the scale factor for their volumes?
- 6
- 8
- 16
- 4
-
(H) Two similar prisms have volumes 27 cm^3 and 216 cm^3. What is the length scale factor from the smaller to the larger?
- 4
- 8
- 2
- 3
-
(H) Two similar rectangles have areas 9 cm^2 and 36 cm^2. What is the length scale factor from the smaller to the larger?
- 1.5
- 3
- 4
- 2
-
(H) A shape is enlarged by a scale factor of 3. Its original area is 5 cm^2. What is the area of the enlargement?
- 25 cm^2
- 15 cm^2
- 45 cm^2
- 9 cm^2
-
A model of a bridge is made at scale 1:200. The real bridge is 60 m long. How long is the model?
- 0.3 cm
- 300 cm
- 30 cm
- 12 cm
-
(H) Two similar cones have heights 4 cm and 12 cm. What is the ratio of the volume of the larger cone to the volume of the smaller cone?
- 9 : 1
- 12 : 1
- 3 : 1
- 27 : 1
-
(H) Two similar shapes have an area scale factor of 49. What is the length scale factor?
- 24.5
- 49
- 14
- 7
-
(H) Two similar solids have surface areas 16 cm^2 and 64 cm^2. What is the length scale factor from the smaller to the larger?
- 2
- 4
- 8
- 1.5
-
(H) Two similar solids have a volume scale factor of 125. What is the length scale factor?
- 15
- 5
- 25
- 62.5
-
(H) Two similar cylinders have a length scale factor of 4. How many times greater is the volume of the larger cylinder?
- 16
- 64
- 8
- 12
-
Which set of conditions is NOT enough alone to prove two triangles congruent?
- ASA
- SAS
- SSS
- AAA
-
(H) Two similar solids have volumes 135 cm^3 and 40 cm^3. What is the ratio of their corresponding lengths?
- 27:8
- 81:16
- 9:4
- 3:2
-
(H) A cylinder of height 10 cm has volume 250 cm^3. A similar cylinder has height 4 cm. What is its volume?
- 16 cm^3
- 100 cm^3
- 40 cm^3
- 6.25 cm^3
-
(H) Two similar prisms have surface areas 80 cm^2 and 320 cm^2. The smaller prism has volume 50 cm^3. What is the volume of the larger prism?
- 400 cm^3
- 200 cm^3
- 100 cm^3
- 1600 cm^3
-
(H) Two similar shapes have areas in the ratio 49:9. What is the length scale factor from the smaller to the larger?
- 7/3
- 49/9
- 3/7
- 9/49
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