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Geometry Review and Reinforcement
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Geometry Review and Reinforcement
Show your working for calculation questions. Include units where needed. Use π = 3.14 unless a question says otherwise.
Measure and calculate
1.A rectangular garden is 8 m long and 5 m wide. What is its perimeter?
- 13 m
- 26 m
- 40 m
- 80 m
2.A triangular sail has a base of 12 cm and a perpendicular height of 8 cm. Calculate its area.
3.A cylindrical rainwater tank has a radius of 3 m and a height of 5 m. Which calculation gives its volume? Then calculate the volume, using π = 3.14.
4.A circular flower bed has a diameter of 6 m. Calculate (a) its area and (b) the length of edging needed around its edge. Use π = 3.14.
Angles and transformations
5.Two angles form a straight line. One angle is shown. Find the size of the other angle.
6.A pair of parallel railway tracks is crossed by a straight road. Select every statement that is true about the angles formed.
- Corresponding angles are equal.
- Alternate angles are equal.
- Co-interior angles add to 180°.
- Vertically opposite angles are equal.
7.A similar shape is enlarged by a scale factor of 3. The original area is 12 cm². What is the area of the enlarged shape?
- 36 cm²
- 108 cm²
- 15 cm²
- 144 cm²
8.Point P has coordinates (−4, 3). It is reflected in the y-axis. State the coordinates of its image and describe the coordinate change.
Apply your geometry
9.A rectangular prism measures 4 cm × 6 cm × 8 cm. Each dimension is doubled. By what factor does its volume increase? Explain using the dimensions or volumes.
10.A garden feature is a rectangle measuring 6 m by 4 m with a semicircle attached along one of its 4 m sides. Find the total area. Give your answer to 2 decimal places, using π = 3.14.
11.True or false: If every side length of a solid is multiplied by 2, its surface area is multiplied by 4 and its volume is multiplied by 8. Explain briefly.
2 printable pages
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