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Maths · Grade 5 · Set B
Paint, Rope and Garden Stories
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B
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Goal: 15 min
Score/ 12
Remember: Say about how much first. Then cut to one bottom (or multiply across), work it out, and check it against your estimate.

Estimate, then work it out

1
Sam walks 3/4 mile to the park. Then he walks 1/8 mile more to the shop. About how far does he walk?
about 1about 1/2about 2
2
A painter has 5/6 gallon of paint and uses 1/3 gallon. How much paint is left? gallon
3
Rosa hikes 2/3 mile and then 1/4 mile more. How far does she hike in all? mile
4
2/5 + 1/2 = 3/7
TrueFalse
5
7/8 − 1/4 = 5/8
TrueFalse

Bigger stories

6
Dan has 3/4 of a pie left. He eats 1/2 of what is left. What fraction of the whole pie does he eat?
7
Ana has 5/6 pound of grapes. She gives 3/5 of them to a neighbor. How many pounds does she give? pound
8
A trail is 6 7/8 miles long. A family hikes 1/3 of it. About how far do they hike?
about 7about 2about 3 1/2
9
A board is 5 1/4 feet long. Sam cuts off 2 1/2 feet. How long is the board now?
3 1/4 feet2 1/4 feet2 3/4 feet
10
Tia pours 1 3/8 cups of milk and then 2 1/2 cups more. How much milk is that in all?
4 1/8 cups3 7/8 cups3 4/8 cups
11
Join each story to the operation that solves it.
  1. 1A runner goes 1/2 mile and then 1/3 mile more
  2. 2A tank is 3/4 full and 1/4 of the tank is used
  3. 3Lee gives away 2/3 of his 3/4 pound of nuts
  • Aadd
  • Bsubtract
  • Cmultiply
12
Put the steps for 3/4 − 1/3 in order.
  • Subtract the tops: 9 − 4 = 5, so the difference is 5/12
  • Check that 5/12 is close to the estimate
  • Cut both fractions into twelfths: 9/12 and 4/12
  • Say about how much: a bit less than 1/2
13
Write a story problem that 2/3 × 1/2 fits. Solve it, then check the size of your answer.
Scan the code at the top to mark this sheet on screenTake a photo of your answers or type them. It is marked for you automatically, and your score is kept.
Answer key · Set B
Paint, Rope and Garden Stories
1about 1 3/4 is close to 1 and 1/8 is close to 0, so he walks about 1 mile.
21/2 1/3 is 2/6. Then 5/6 − 2/6 = 3/6, which is 1/2.
311/12 Cut both into twelfths: 2/3 = 8/12 and 1/4 = 3/12. 8/12 + 3/12 = 11/12.
4False Do not add the bottoms. Cut both into tenths: 4/10 + 5/10 = 9/10.
5True 1/4 is 2/8. Then 7/8 − 2/8 = 5/8.
63/8 1/2 of 3/4 is 1/2 × 3/4 = 3/8 of the whole pie.
71/2 3/5 of 5/6 is 3/5 × 5/6 = 15/30, which is 1/2.
8about 2 6 7/8 is about 7. A third of 7 is a bit more than 2, so about 2 miles.
92 3/4 feet Cut into fourths: 5 1/4 is 5 1/4 and 2 1/2 is 2 2/4. Borrow 1: 4 5/4 − 2 2/4 = 2 3/4.
103 7/8 cups 2 1/2 is 2 4/8. The wholes: 1 + 2 = 3. The eighths: 3/8 + 4/8 = 7/8. So 3 7/8 cups.
111-A, 2-B, 3-C
123, 4, 2, 1 Estimate first, then cut to one bottom, then subtract the tops, and last check against the estimate.
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.