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.
Level 1 · Warm-up
1 How many lines of symmetry does a square have?
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4 lines of symmetry.
2 Write the number of lines of symmetry for a regular pentagon, and for a regular octagon.
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5 and 8.
3 How many lines of symmetry does an isosceles triangle have?
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1.
Level 2 · Core
4 Which of these has no lines of symmetry?
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A has 2, B has 1 and D has 3. C — a parallelogram that is not a rectangle has none.
5 A row of 7 squares is symmetrical about its middle square. Write the position that partners position 2, and the position that partners position 1.
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Position 2 partners 6, and position 1 partners 7.
6 How many lines of symmetry does a regular hexagon have?
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6.
Level 3 · Challenge
7 Think about the digits 0 to 9 written plainly.1 0, 1, 3 and 8 all fold across the middle.
2 3 folds down the middle as well.
3 The largest two-digit number that folds across the middle is 88.
Which statements are correct?
2 3 folds down the middle as well.
3 The largest two-digit number that folds across the middle is 88.
Which statements are correct?
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0, 1, 3 and 8 all fold across (1 ✓). A 3 does not fold down the middle (2 ✗). The largest from those digits is 88 (3 ✓). 1 and 3.
8 A pattern of 6 squares must be symmetrical about the fold line shown. Write how many squares still need colouring, and the colour that position 6 must be, using the number of its partner.
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3 squares still need colouring, and position 6 must match position 1.
9 A shape has 12 sides and all its sides and angles are equal. How many lines of symmetry does it have?
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12.