Shape and space · Ages 6–7

Semicircles and quarter circles worksheet

Part of: Solids, flat shapes and position

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Shape and space · Ages 6–7

Numsprite
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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.How many semicircles are in the picture?
Answer:
2.How many whole circles can 4 equal semicircles make?
Answer:
3.Chi-keung has 20 equal quarter circles. How many whole circles can they make?
Answer:
4.How many whole circles can 16 equal semicircles make?
Answer:
5.May has 8 equal quarter circles. How many whole circles can they make?
Answer:
6.How many whole circles can 8 equal semicircles make?
Answer:
7.Tsz-ching has 12 equal quarter circles. How many whole circles can they make?
Answer:
8.The picture has semicircles and quarter circles.
Fill in each blank
Answer:

13.Each pizza is cut into 4 equal quarter circles. Ming's family buys 3 pizzas. How many slices is that?
Working:
Answer:
14.Ka-yan cuts out the semicircles and quarter circles in the picture, all from the same size of circle, and uses every one to make whole circles. How many circles can be made?
Working:
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15.At the Mid-Autumn Festival, May cuts every mooncake in half and gets 12 semicircle pieces. How many whole mooncakes were there?
Working:
Answer:
16.Each pizza is cut into 4 equal quarter circles. Ka-yee's family buys 4 pizzas. How many slices is that?
Working:
Answer:
17.At the Mid-Autumn Festival, Chi-keung cuts every mooncake in half and gets 14 semicircle pieces. How many whole mooncakes were there?
Working:
Answer:
18.Tsz-hin cuts out the semicircles and quarter circles in the picture, all from the same size of circle, and uses every one to make whole circles. How many circles can be made?
Working:
Answer:

Show the answers and working

Semicircles and quarter circles worksheet: Answers and working

1. 1
A semicircle has one straight edge and one curved edge. Check each shape, marking the ones you count.
A semicircle has one straight edge and one curved edge and is half a circle: pick them out one by one, 1 in all.
2. 2
Two semicircles make one circle. Put the 4 semicircles into pairs.
2 semicircles make 1 circle: 4 semicircles in twos make 2 circles.
3. 5
Four quarter circles make one circle. Put the 20 into groups of four.
4 quarter circles make 1 circle: 20 in fours make 5 circles.
4. 8
Two semicircles make one circle. Put the 16 semicircles into pairs.
2 semicircles make 1 circle: 16 semicircles in twos make 8 circles.
5. 2
Four quarter circles make one circle. Put the 8 into groups of four.
4 quarter circles make 1 circle: 8 in fours make 2 circles.
6. 4
Two semicircles make one circle. Put the 8 semicircles into pairs.
2 semicircles make 1 circle: 8 semicircles in twos make 4 circles.
7. 3
Four quarter circles make one circle. Put the 12 into groups of four.
4 quarter circles make 1 circle: 12 in fours make 3 circles.
8. 2, 1
Count each shape's straight edges: one means a semicircle, two means a quarter circle.
One straight edge: a semicircle, 2 of them. Two straight edges: a quarter circle, 1 of them.

9. B. A quarter circle
Count how many straight edges the shape has.
Count the straight edges: none is a circle, one is a semicircle, two with a curved edge is a quarter circle.
10. B
A quarter circle has two straight edges and one curved edge. Count the straight edges of each.
A quarter circle has two straight edges and one curved edge, the straight edges meeting at the centre.
11. True
Two quarter circles make a semicircle. How many make 3 semicircles? Then compare with 6.
2 quarter circles make 1 semicircle, so 3 semicircles need 6 quarter circles.
12. True
Two quarter circles make a semicircle. How many make 6 semicircles? Then compare with 12.
2 quarter circles make 1 semicircle, so 6 semicircles need 12 quarter circles.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 12 slices
Each pizza has 4 slices. Count in fours, 3 times.
4 slices a pizza: count in fours 3 times, 12 slices.
14. 1 circle
A semicircle is two quarter circles. Count every semicircle as two quarters, then count them all.
A semicircle is 2 quarter circles: count each semicircle as two quarters, then group in fours: 1 circles.
15. 6 mooncakes
Two halves make one mooncake. Put the 12 pieces into pairs.
2 halves make 1 mooncake: 12 halves in twos make 6.
16. 16 slices
Each pizza has 4 slices. Count in fours, 4 times.
4 slices a pizza: count in fours 4 times, 16 slices.
17. 7 mooncakes
Two halves make one mooncake. Put the 14 pieces into pairs.
2 halves make 1 mooncake: 14 halves in twos make 7.
18. 2 circles
A semicircle is two quarter circles. Count every semicircle as two quarters, then count them all.
A semicircle is 2 quarter circles: count each semicircle as two quarters, then group in fours: 2 circles.

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