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Year 7 Geometry Pre-Assessment
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Year 7 Geometry Pre-Assessment
Finn, Nikau and Mere are setting up a bike repair shop. Solve each geometry task to help them plan the space and check the equipment. Show working where you can.
Angles and 2D Shapes
1.A bike stand opens to an angle of 112°. Is this angle acute, right, obtuse or straight?
- Acute
- Right
- Obtuse
- Straight
2.A triangular sign has angles of 47° and 68°. Calculate its third angle. Show your calculation.
3.Which statements must be true of an isosceles triangle? Select all that apply.
- It has two equal sides
- It has two equal angles
- It has three equal sides
- All its angles are 60°
4.The shop’s workbench top has four right angles and opposite sides equal. What is its most specific name if its adjacent sides are different lengths?
5.Draw and label one acute angle, one right angle and one obtuse angle. Include a degree measure for each.
3D Shapes and Transformations
6.Nikau is packing a cube-shaped box for spare parts. Draw a possible net for the box using six equal squares.
7.Looking straight down at the open top of a cylindrical container of bike grease, what 2D shape do you see?
- Rectangle
- Circle
- Triangle
- Square
8.A wheel-shaped logo is reflected across a mirror line. What happens to its size and shape, and what happens to its orientation?
9.On a coordinate grid, a wheel marker turns 90° clockwise about the origin. Describe the turn and state what happens to its distance from the origin.
Position, Direction and Angle Reasoning
10.On a coordinate grid, a point is at (3, −2). It moves 4 units north and 2 units west. What are its new coordinates?
11.Mere faces south while standing in the shop. Which direction is on her left?
- East
- West
- North
- South
12.A frame is shaped like a triangle. Two interior angles are 65° and 48°. Find the third angle and explain the rule you used.
3 printable pages
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