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Geometry Assessment Preparation
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Geometry Assessment Preparation
Tane and Mere are preparing designs for a library makerspace. Solve each challenge. Show working for calculations, include units, and use π = 3.14 where needed.
Plan and Calculate
Use geometry to check the makerspace designs.
1.Mere is cutting a trapezium-shaped panel with parallel sides 8 cm and 14 cm, and perpendicular height 6 cm. Which calculation gives its area?
- ½ × (8 + 14) × 6
- 8 × 14 × 6
- ½ × 8 × 14
- (8 + 14) × 6
2.A cylindrical container for tools has radius 4 cm and height 10 cm. Select the correct formula and calculate its volume using π = 3.14.
3.Tane designs a regular pentagonal badge. What is the sum of the five interior angles?
4.A storage box is a rectangular prism measuring 8 cm by 5 cm by 12 cm. Find its volume.
5.A round tabletop has radius 7 m. Calculate its area using π = 3.14. Give your answer to one decimal place.
Angles and Scale
Read the angle diagram and explain your reasoning where asked.
6.Two parallel shelf supports are crossed by a brace. In the angle diagram, the marked angle is 65°. What is the size of the alternate angle?
7.A right-angled support has shorter sides of 9 cm and 12 cm. Use Pythagoras’ theorem to find the length of its hypotenuse.
8.A square design has side length 6 cm. It is enlarged by a scale factor of 3. What are the new side length and new area?
9.True or false? If two parallel lines are crossed by a transversal, co-interior angles always have equal measures. Correct the statement if it is false.
TrueFalse
10.A makerspace panel is a trapezium with parallel sides 8 cm and 14 cm and height 6 cm. The panel is enlarged by a scale factor of 3. Find the area of the enlarged panel and explain how the scale factor affects area.
2 printable pages
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