Shape and space · Ages 6–7

Halves and quarters 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 equal parts is this shape cut into?
Answer:
2.40 sweets shared into two equal parts: each part is a half, sweets. Into four equal parts: each is a quarter, sweets.
Fill in each blank
Answer:
3.4 sweets shared into two equal parts: each part is a half, sweets. Into four equal parts: each is a quarter, sweets.
Fill in each blank
Answer:
4.32 sweets shared into two equal parts: each part is a half, sweets. Into four equal parts: each is a quarter, sweets.
Fill in each blank
Answer:
5.24 sweets shared into two equal parts: each part is a half, sweets. Into four equal parts: each is a quarter, sweets.
Fill in each blank
Answer:
6.20 sweets shared into two equal parts: each part is a half, sweets. Into four equal parts: each is a quarter, sweets.
Fill in each blank
Answer:
7.36 sweets shared into two equal parts: each part is a half, sweets. Into four equal parts: each is a quarter, sweets.
Fill in each blank
Answer:

13.A chocolate bar has 4 squares. Tsz-hin eats half of it, and Ka-lok eats half of what is left. How many squares does Ka-lok eat?
Working:
Answer:
14.Ming has 12 cards and shares them into 4 equal parts, giving 1 part to Ka-yee. How many does Ka-yee get?
Working:
Answer:
15.May and Ka-yee want to share a square cake equally. May says cut once corner to corner; Ka-yee says cut once straight down the middle. Which cut shares it equally?
- A. Neither
- B. Only May's
- C. Both cuts
- D. Only Ka-yee's
Choose the right answer
Working:
Answer:
16.Ming and Ka-yan share 4 cookies equally, half each. How many does each get?
Working:
Answer:
17.A chocolate bar has 8 squares. Tsz-hin eats half of it, and Tsz-ching eats half of what is left. How many squares does Tsz-ching eat?
Working:
Answer:
18.Chi-keung and Ka-yan want to share a square cake equally. Chi-keung says cut once corner to corner; Ka-yan says cut once straight down the middle. Which cut shares it equally?
- A. Both cuts
- B. Only Chi-keung's
- C. Neither
- D. Only Ka-yan's
Choose the right answer
Working:
Answer:

Show the answers and working

Halves and quarters worksheet: Answers and working

1. 4 parts
First check that the parts are the same size, then count them.
The parts are the same size; count them: 4.
2. 20, 10
Hand the 40 sweets out one at a time to two people: how many each? Then think about four people.
Hand them out one at a time to 2 people: 20 each. To 4 people: 10 each (half of a half).
3. 2, 1
Hand the 4 sweets out one at a time to two people: how many each? Then think about four people.
Hand them out one at a time to 2 people: 2 each. To 4 people: 1 each (half of a half).
4. 16, 8
Hand the 32 sweets out one at a time to two people: how many each? Then think about four people.
Hand them out one at a time to 2 people: 16 each. To 4 people: 8 each (half of a half).
5. 12, 6
Hand the 24 sweets out one at a time to two people: how many each? Then think about four people.
Hand them out one at a time to 2 people: 12 each. To 4 people: 6 each (half of a half).
6. 10, 5
Hand the 20 sweets out one at a time to two people: how many each? Then think about four people.
Hand them out one at a time to 2 people: 10 each. To 4 people: 5 each (half of a half).
7. 18, 9
Hand the 36 sweets out one at a time to two people: how many each? Then think about four people.
Hand them out one at a time to 2 people: 18 each. To 4 people: 9 each (half of a half).

8. C
First check each picture's parts are equal, then see how many of the parts are shaded.
A half is 1 of 2 equal parts (or 2 of 4 equal parts): first check the parts are the same size.
9. False
Equal parts are the same size. Imagine laying one part on the other: would they match exactly?
Equal parts are the same size. Lay one part on the other: only if they match exactly are they two equal parts.
10. D. A half
First count how many equal parts the shape is cut into, then how many are shaded.
4 equal parts, 2 shaded: 1 of 2 or 2 of 4 is a half; 1 of 4 is a quarter.
11. B
A quarter is one of four equal parts. Check the parts are equal, then count the shaded ones.
A quarter is 1 of 4 equal parts: the parts the same size, and just 1 shaded.
12. True
Equal parts need only be the same size, not the same shape. Compare the size of each part.
Equal parts need only be the same size, not the same shape: compare the size of each part.

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

13. 1 square
First work out how many squares are left after Tsz-hin eats half.
Then split what is left into two equal parts.
Half is 2; half of the 2 left is 1, since 1 + 1 = 2.
14. 3 cards
Share the 12 into 4 equal parts by putting them into the 4 parts one at a time, in turn.
Four equal parts: dealing them out one at a time, each part gets 3, and 3 + 3 + 3 + 3 = 12.
15. C. Both cuts
Equal shares only need to be the same size, not the same shape. Picture what each cut gives.
The two cuts give different shapes (triangles or rectangles), but in each the parts are the same size: halves.
16. 2 cookies
Sharing equally means the same for each. Hand the 4 out one at a time, taking turns.
Hand them out one each in turn: each ends up with 2, and 2 + 2 = 4.
17. 2 squares
First work out how many squares are left after Tsz-hin eats half.
Then split what is left into two equal parts.
Half is 4; half of the 4 left is 2, since 2 + 2 = 4.
18. A. Both cuts
Equal shares only need to be the same size, not the same shape. Picture what each cut gives.
The two cuts give different shapes (triangles or rectangles), but in each the parts are the same size: halves.

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