Shape and space · Ages 8–9
Rotational symmetry: turn it and it looks the same worksheet
Part of: Symmetry
In the print window, choose “Save as PDF” to download it. The answers print on the last page.
Rotational symmetry: turn it and it looks the same worksheet
Shape and space · Ages 8–9
Numsprite
numsprite.com
Name:Date:Score:／44
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.Turn this windmill one whole turn about its centre. How many times on the way (counting the return to the start) does it look exactly as it did at the start?
Answer:
2.Turn this flag one whole turn about its centre. How many times does it look exactly as it did at the start (colours too)?
Answer:
3.This windmill has 4 blades of the same shape, some in another colour. Turn it one whole turn about its centre. How many times does it look exactly as at the start (colours too)?
Answer:
4.This windmill has 6 blades of the same shape, some in another colour. Turn it one whole turn about its centre. How many times does it look exactly as at the start (colours too)?
Answer:
5.This windmill has 8 blades of the same shape, some in another colour. Turn it one whole turn about its centre. How many times does it look exactly as at the start (colours too)?
Answer:
6.This windmill has 12 blades of the same shape, some in another colour. Turn it one whole turn about its centre. How many times does it look exactly as at the start (colours too)?
Answer:
7.This windmill has 10 blades of the same shape, some in another colour. Turn it one whole turn about its centre. How many times does it look exactly as at the start (colours too)?
Answer:
8.This windmill has 7 blades of the same shape, some in another colour. Turn it one whole turn about its centre. How many times does it look exactly as at the start (colours too)?
Answer:
Part B: Choose, or true or false (2 marks each)
9.Turn this letter half round (upside down): it looks exactly as it did before.
True or false?
Answer:
10.Which letter looks exactly the same after half a turn?
- A
- B
- C
- D
Choose the right picture
Answer:
Part C: Word problems (4 marks each)
11.A ceiling fan has 4 blades all alike. It turns 3 whole turns. How many times in that time (not counting the start) does it look exactly as it did at the start?
Working:
Answer:
12.Ka-yan turns each of these letter cards half round, upside down. How many cards look exactly the same after turning?
Working:
Answer:
13.May's spinner has 3 petals all alike. Each time it turns to where the next petal was, it looks the same as before. May turns it like this 6 times. How many whole turns is that?
Working:
Answer:
14.Chi-keung's spinner has 3 petals all alike. Each time it turns to where the next petal was, it looks the same as before. Chi-keung turns it like this 9 times. How many whole turns is that?
Working:
Answer:
15.A ceiling fan has 4 blades all alike. It turns 5 whole turns. How many times in that time (not counting the start) does it look exactly as it did at the start?
Working:
Answer:
16.Chi-keung turns each of these letter cards half round, upside down. How many cards look exactly the same after turning?
Working:
Answer:
Show the answers and working
Rotational symmetry: turn it and it looks the same worksheet: Answers and working
Part A: Working out and filling in
1. 8 times
Count the windmill's matching blades. It looks the same each time a blade reaches the next one's place.
It has 8 blades alike, and it looks the same each time a blade reaches the next one's place: 8 times in a whole turn.
2. 2 times
Try a quarter, a half and three quarters of a turn: do the colours land where they were? Count the return to the start too.
Try a quarter turn and a half turn, and count the return to the start too: 2 times.
3. 2 times
The 4 blades are the same shape, but the colours must line up too. First see how the coloured blades are spread.
The colours must land where they were too: just 2 times in a whole turn.
4. 3 times
The 6 blades are the same shape, but the colours must line up too. First see how the coloured blades are spread.
The colours must land where they were too: just 3 times in a whole turn.
5. 1 time
The 8 blades are the same shape, but the colours must line up too. First see how the coloured blades are spread.
The colours must land where they were too: just 1 times in a whole turn.
6. 6 times
The 12 blades are the same shape, but the colours must line up too. First see how the coloured blades are spread.
The colours must land where they were too: just 6 times in a whole turn.
7. 5 times
The 10 blades are the same shape, but the colours must line up too. First see how the coloured blades are spread.
The colours must land where they were too: just 5 times in a whole turn.
8. 1 time
The 7 blades are the same shape, but the colours must line up too. First see how the coloured blades are spread.
The colours must land where they were too: just 1 times in a whole turn.
Part B: Choose, or true or false
9. True
Imagine turning the paper half round: the top row goes to the bottom and left and right swap. Compare square by square.
Imagine turning the paper half round: the top row ends up at the bottom and left and right swap too. Compare square by square.
10. D
Imagine turning each letter half round, so top and bottom and left and right all swap. Then compare square by square.
Half a turn sends the top row to the bottom and swaps left and right: only this one still matches square by square.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
11. 12 times
With 4 matching blades, how many times does one whole turn look the same? It turns 3 whole turns.
Each whole turn looks the same 4 times: 4 × 3 = 12.
12. 1 card
Imagine turning each card half round: the top row goes to the bottom and left and right swap. Compare with how it was.
Half a turn sends the top row to the bottom and swaps left and right: card by card, 1 look the same.
13. 2 turns
With 3 petals, how many moves to the next petal make one whole turn?
3 of those make one whole turn: 6 ÷ 3 = 2.
14. 3 turns
With 3 petals, how many moves to the next petal make one whole turn?
3 of those make one whole turn: 9 ÷ 3 = 3.
15. 20 times
With 4 matching blades, how many times does one whole turn look the same? It turns 5 whole turns.
Each whole turn looks the same 4 times: 4 × 5 = 20.
16. 1 card
Imagine turning each card half round: the top row goes to the bottom and left and right swap. Compare with how it was.
Half a turn sends the top row to the bottom and swaps left and right: card by card, 1 look the same.
Numsprite · numsprite.com/en/worksheets/symmetry/turn-symmetry
Practise it in the gameRotational symmetry: turn it and it looks the same · Unlimited questions, no download