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?
Show worked solution
A square has 4 lines of symmetry.
2 How many lines of symmetry does a rectangle (that is not a square) have?
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Only the two through the middles of opposite sides work, so 2. The diagonal folds do not match up.
3 An arrow points up. Which way does it point after a half turn?
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A half turn points it the opposite way: down.
Level 2 · Core
4 How many quarter turns bring a shape back to exactly where it started?
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Four quarter turns make a full turn, so 4.
5 A shape is slid 3 squares to the right. Does its size or shape change?
Show worked solution
No — a slide changes only position, never size or shape.
6 How many lines of symmetry does an equilateral triangle (all sides equal) have?
Show worked solution
One from each of the 3 corners: 3 lines of symmetry.
Level 3 · Challenge
7 How many lines of symmetry does a regular hexagon have?
Show worked solution
3 corner-to-corner and 3 side-to-side: 6 lines of symmetry.
8 An arrow points north. It is turned three quarter turns clockwise. Which direction does it point now?
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North → east → south → west.
9 A shape is flipped over a vertical line and then flipped back over the same line. Where does it end up?
Show worked solution
The second flip undoes the first, so the shape ends up where it started.
⭐ Bonus Challenge · only if the rest felt easy
10 How many lines of symmetry does a regular hexagon have?
Show worked solution
Three lines join opposite corners and three more join the middles of opposite sides: 6 lines of symmetry.