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Rotate, Reflect & Identical Shapes

Quiz · Maths · Y4 OC Prep · Year 4 OC
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Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.

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Level 1 · Warm-up

1 A quarter turn is how many degrees?
Show worked solution
360 ÷ 4 = 90 degrees.
2 This arrow points up. After a half turn, which way does it point? (up, down, left or right)
Show worked solution
A half turn turns up into down.
3 Clockwise is the way clock hands move. You face north and make a quarter turn clockwise. Which way do you face?
Show worked solution
A quarter turn clockwise from north faces east.

Level 2 · Core

4 Columns A to F, rows 1 to 4. The dashed line is the mirror line. One square is shaded. What is the grid reference of its reflection?ABCDEF4321
Show worked solution
B is 2 columns from the line, so the twin is 2 columns past it, in E. Same row: E2.
5 A shape is turned a half turn. Does the result look the same as the shape's mirror image?
Show worked solution
No — a half turn keeps the shape's handedness; a mirror image changes it. Try it with an F.
6 How many quarter turns clockwise give the same result as one quarter turn anticlockwise?
Show worked solution
Going three quarters of the way round one way lands where one quarter the other way does: 3.

Level 3 · Challenge

7 An L-shape is 3 squares tall and 2 squares wide along its base. After a quarter turn clockwise, is it 3 squares wide or 3 squares tall? (wide/tall)
Show worked solution
Its 3-square arm now lies sideways, so the shape is 3 squares wide.
8 Turning only, no flipping: can shape 1 be turned to match shape 2?shape 1shape 2
Show worked solution
Shape 1 is an S and shape 2 is a Z — each is the mirror image of the other, and no turn makes one into the other: no.
9 A figure is reflected in a vertical mirror line, and the result is then reflected again in the same line. Compared with the start, is the final figure the same, or flipped? (same/flipped)
Show worked solution
The second reflection undoes the first, so the figure is back where it started: same.