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Geometry Review and Reinforcement
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Geometry Review and Reinforcement
Help plan a small outdoor space. Answer each question, show working where needed, and use π = 3.14 unless a question says otherwise. Give units with measurements.
Measure and calculate
Use geometry to check the plans and materials.
1.A rectangular garden bed is 8 m long and 5 m wide. How much edging is needed to go once around it?
- 13 m
- 26 m
- 40 m
- 80 m
2.A triangular sign has a base of 12 cm and a perpendicular height of 8 cm. Calculate its area.
3.A cylindrical rainwater tank has radius 0.7 m and height 2 m. Calculate its volume to 2 decimal places. Use V = πr²h.
4.Choose all the correct geometry formulas.
- Area of a circle = πr²
- Volume of a rectangular prism = length × width
- Circumference of a circle = 2πr
- Area of a trapezium = ½(a + b)h
Angles and transformations
Reason from angle facts and coordinate rules.
5.Two angles in a triangle measure 65° and 45°. Work out the third angle.
6.Point A has coordinates (3, 2). It is reflected in the y-axis. Give the coordinates of A′ and state the rule used.
7.A rectangular patio is enlarged by a scale factor of 3. By what factor does its area change?
- It stays the same
- It is multiplied by 3
- It is multiplied by 6
- It is multiplied by 9
8.A circular sprinkler has a radius of 1.5 m. What is the distance around its edge? Round to the nearest centimetre.
Design challenge
Combine shapes and scale to solve the final planning problems.
9.A garden bed is a 6 m by 4 m rectangle with a semicircle attached to one 4 m side. Calculate its total area. Use π = 3.14.
10.A cube-shaped planter has volume 64 cm³. It is enlarged by a scale factor of 2. What is the surface area of the enlarged cube?
3 printable pages
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Page 2
Page 3
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