Fractions of a group of things

Mathematics · Fractions · ages 7-8

Name ______________________ Date ____________

Share twelve grapes equally among four friends. How many grapes does each friend get?
Answer: ______________
What is 1/4 of 12?
- 4
- 3
- 2
- 6
12 stars are split into 4 equal groups. How many stars make up 1/4 of the group?
- 3
- 4
- 12
12 dots are split into 4 equal groups of 3. How many dots are in 3 of those groups?
- 6
- 9
- 12
Two quarters of twelve marbles are red. How many marbles are red?
Answer: ______________
5 dots are shown. 2 of them are shaded. What fraction of the dots is shaded?
- 2/5
- 5/2
- 3/5
What is 3/4 of 12?
- 3
- 8
- 9
- 6
Ursula says 1/4 of 12 is 4 because 12 take away 8 is 4. Is Ursula right?
Circle one: True False
Sam has 12 counters. He splits them into groups of 5, 4, and 3 to find 1/4 of the set. Is Sam's method correct?
Circle one: True False
Nine of twelve stars are shaded. That shaded pile equals how many quarters of the whole set?
Answer: ______________

Answer key

For grown-ups. Fold this page away before handing over the rest.

3 · Twelve split into 4 fair shares gives 3 grapes each.
3 · Twelve shared into 4 equal groups gives 3 in each group.
3 · 12 stars split into 4 equal groups gives 3 stars in each group. So 1/4 is 3 stars.
9 · Each group has 3 dots. 3 groups make 3 + 3 + 3 = 9 dots, which is 3/4 of the whole set.
6 · One quarter of 12 is 3, so two quarters are 6.
2/5 · 2 out of the 5 dots are shaded, so the fraction is 2/5.
9 · One quarter of 12 is 3, so three quarters are 9.
False · Ursula is wrong. Fair sharing gives 3 in each of the 4 groups, not 4.
False · To find 1/4, Sam needs 4 equal groups. He only made 3 groups, and they are not the same size.
3 · Nine twelfths simplifies to 3 quarters.