Fractions: halves and quarters – Year 1 maths worksheet answers to download as PDF

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1. Answer to Question 1

   1. Yes. The rectangle is cut into 2 parts that are exactly the same size. If you fold one part onto the other they match, so each part is a half.
   2. Yes. The circle is cut through the middle into 2 parts. The two parts match exactly when you fold them, so they are halves.
   3. No. One piece is big and one piece is small. Halves must be the same size, so these two pieces are not halves of the square.

2. Answer to Question 2

   1. 1 of 2 equal parts: ¹⁄₂.
   2. 1 of 2 equal parts: ¹⁄₂.
   3. 2 of 4 equal parts. 2 quarters is the same as ¹⁄₂.

3. Answer to Question 3

   1. 1 of 4 equal parts: a quarter (¹⁄₄).
   2. 3 of 4 equal parts: three quarters (³⁄₄).
   3. 2 of 4 equal parts: a half (¹⁄₂).
   4. All 4 parts: a whole (4 quarters).

4. Answer to Question 4

   1. Half of 4 is 2. Check: 2 + 2 = 4.
   2. Half of 8 is 4. Check: 4 + 4 = 8.
   3. Half of 12 is 6. Check: 6 + 6 = 12.
   4. Half of 18 is 9. Check: 9 + 9 = 18.
   5. Half of 20 is 10. Check: 10 + 10 = 20.

5. Answer to Question 5

   1. A quarter of 4 is 1. Check: 4 groups of 1 make 4.
   2. A quarter of 8 is 2. Check: 4 groups of 2 make 8.
   3. A quarter of 12 is 3. Check: 4 groups of 3 make 12.
   4. A quarter of 16 is 4. Check: 4 groups of 4 make 16.
   5. A quarter of 20 is 5. Check: 4 groups of 5 make 20.

6. Answer to Question 6

   1. Two halves put back together fill the whole shape, so 2 halves make one whole.
   2. Four quarters fill the whole shape: 1, 2, 3, 4 quarters. So 4 quarters make one whole.
   3. Two quarters fill half of the shape, because 4 quarters is a whole and 2 is half of 4. So 2 quarters make one half.
   4. Cut a half into 2 equal parts: each part is one of 4 equal parts of the whole, so half of a half is a quarter.

7. Answer to Question 7

   1. 1 slice of 4: ¹⁄₄.
   2. 2 slices of 4: ²⁄₄, which is the same as ¹⁄₂.
   3. 1 + 1 = 2 slices: ²⁄₄ (or ¹⁄₂).
   4. 1 + 2 + 1 = 4 slices. All of it is eaten. No, no pizza is left.

8. Answer to Question 8

   1. 2 halves, then each cut in 2: 2 + 2 = 4 pieces.
   2. ¹⁄₄ (a quarter) each.
   3. 2 pieces of 4: ²⁄₄, which is ¹⁄₂ the sandwich.
   4. 4 − 2 = 2 pieces, so ¹⁄₂ is left.

9. Answer to Question 9

   1. Share 12 cars into 2 equal groups: 6 and 6. Half of 12 is 6, so Tom gives his brother 6 cars.
   2. Share 12 cars into 4 equal groups: 3, 3, 3 and 3. A quarter of 12 is 3, so his sister gets 3 cars.
   3. Add the cars given to the brother and the sister: 6 + 3 = 9 cars given away.
   4. Tom started with 12 and gave away 9: 12 − 9 = 3 cars. Tom keeps 3 cars, which is also a quarter of 12.

10. Answer to Question 10

    1. Half of 8 is 4.
    2. A quarter of 8 is 2.
    3. 4 + 2 = 6.
    4. 8 − 6 = 2. Two cupcakes are left. That is a quarter of 8.

11. Answer to Question 11

    1. Half of 16 is 8 each.
    2. The friend shares her 8 equally between 2: half of 8 is 4 stickers.
    3. 4 out of 16 is a quarter: ¹⁄₄. (4 + 4 + 4 + 4 = 16)
    4. Dina has 8 and her friend has 4. Yes, Dina has more.

12. Answer to Question 12

    1. Half of the book means 20 pages shared into 2 equal parts: 10 and 10. Jo reads 10 pages on Monday.
    2. A quarter means 20 pages shared into 4 equal parts. 5 + 5 + 5 + 5 = 20, so a quarter is 5 pages on Tuesday.
    3. Add the two days: 10 + 5 = 15 pages read in total.
    4. The book has 20 pages and Jo has read 15: 20 − 15 = 5 pages left. That is one more quarter of the book.

13. Answer to Question 13

    1. The parts are equal, so Ali has two halves. He is right.
    2. The parts are not equal. Bella is not right.
    3. 2 of 4 equal parts. 2 quarters is the same as a half. Yes, he has half.
    4. 1 of 4 equal parts. Dee takes ¹⁄₄, a quarter.

14. Answer to Question 14

    1. 2 of 4 parts: ²⁄₄, or ¹⁄₂.
    2. 1 of 4 parts: ¹⁄₄.
    3. 4 − 2 = 2 parts are not blue: ²⁄₄ or ¹⁄₂.
    4. Blue is 2 parts and yellow is 1 part. The blue part is bigger.

15. Answer to Question 15

    1. A quarter of 20 is 5 coins.
    2. 4 coins × 4 friends = 16, not 20. Zak's sister is right.
    3. 2 quarters is ¹⁄₂ (a half).
    4. Half of 20 is 10 coins. Check: 5 + 5 = 10.

16. Answer to Question 16

    1. Each apple makes 2 halves. 2 + 2 + 2 + 2 = 8 halves.
    2. Each orange makes 4 quarters. 4 + 4 = 8 quarters.
    3. Half of 8 quarters is 4. 8 + 4 = 12 pieces.
    4. 8 − 4 = 4 quarters.

17. Answer to Question 17

    1. Half of 8 is 4 squares.
    2. Hana keeps the other half, which is 4 squares.
    3. Half of 4 is 2 squares.
    4. Hana keeps 2 squares out of 8. That is ¹⁄₄, a quarter. Check: 2 + 2 + 4 = 8.

18. Answer to Question 18

    1. Half of 16 is 8 centimetres.
    2. Half of 8 is 4 centimetres.
    3. 8 cm, 4 cm and 4 cm. Check: 8 + 4 + 4 = 16.
    4. The pieces are not all the same length (8 is not 4). Yara is not right. Two pieces are quarters and one is a half.

19. Answer to Question 19

    1. Half of 24 is 12.
    2. A quarter of 24 is 6.
    3. 24 − 12 − 6 = 6 yellow beads.
    4. Red is 2 quarters and blue is 1 quarter. That makes 3 quarters. So yellow is ¹⁄₄, a quarter. Check: 6 beads is a quarter of 24.

20. Answer to Question 20

    1. 2 equal parts (halves).
    2. Each part is folded in half: 2 + 2 = 4 equal parts (quarters).
    3. Each part is folded in half again: 4 + 4 = 8 equal parts (eighths).
    4. After 2 folds there are 4 equal parts. One part is ¹⁄₄.