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Geometry Review and Reinforcement
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Geometry Review and Reinforcement
Show your working for calculations. Use π = 3.14 where needed, and include units in your answers.
Area, Perimeter and Volume
1.A rectangular orchard storage shed measures 7.4 m by 5.6 m. Find the area of its floor.
2.A circular water tank lid has a radius of 3.5 m. Calculate the circumference of the lid. Use π = 3.14.
3.Which expression gives the volume of a cylinder with radius r and height h?
- πr²h
- 2πrh
- πr²
- πrh
4.A rectangular prism-shaped crate is 9 cm long, 4 cm wide and 6 cm high. Work out its volume.
5.A triangular sign has a base of 12 cm and a perpendicular height of 7 cm. Find its area.
Angles and Transformations
6.A triangle has angles of 52° and 71°. Calculate the size of its remaining angle.
7.Two parallel lines are crossed by a transversal. Select every angle relationship that guarantees equal angles.
- Corresponding angles
- Alternate interior angles
- Co-interior angles
- Vertically opposite angles
8.Point P is at (−2, 5). It is translated 4 units right and 3 units down. Write the coordinates of P′.
9.A shape is enlarged by a scale factor of 3. By what factor does its area change?
- It is multiplied by 3
- It is multiplied by 6
- It is multiplied by 9
- It does not change
10.A point Q at (3, −1) is reflected in the x-axis. Give the coordinates of its image Q′.
Geometry Problem Solving
11.A rectangular orchard pond is 15 m long and 9 m wide. A path 1.5 m wide is built all the way around the outside. Calculate the area of the path alone.
12.A cylinder has a volume of 1,256 cm³ and a height of 10 cm. Find its radius, using π = 3.14.
13.A rectangle is 8 cm by 5 cm. It is enlarged by a scale factor of 1.5. Find the perimeter of the enlarged rectangle.
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