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Maths · Grade 6 · Set B
Cups in a Pitcher
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B
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Goal: 15 min
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Remember: Cut the amount into pieces the size of the scoop. Count them, and any part of one.

Cut it into scoops

1
Sam has 2/3 of a pitcher of juice. A cup holds 1/6 of a pitcher. The bar is 1 pitcher in sixths, with the juice shaded. How many cups is that? Answer:
2
Sam has 1/2 of a bag of flour. A scoop holds 1/10 of a bag. The bar is 1 bag in tenths, with the flour shaded. How many scoops is that? Answer:
3
Sam has 3/4 of a loaf. Which picture shows the loaf cut into slices of 1/12 of a loaf?
A
B
C
4
Sam has 3/5 of a liter of milk, marked on the line. A glass holds 1/10 of a liter. How many glasses is that? Answer:
5
2/3 ÷ 1/6 = 2
TrueFalse

When the scoop is not 1 over the same number

6
Sam has 1/2 of a pitcher of tea. A cup holds 1/3 of a pitcher. How many cups is that? A part of a cup counts.
2/3 of a cup1/6 of a cup2 cups1 1/2 cups
7
Sam has 1/4 of a pitcher of tea, shown by the shaded part. A cup holds 3/4 of a pitcher. What part of a cup is that? Answer:
8
Join each division to how many scoops fit.
  1. 12/5 ÷ 1/5
  2. 22/3 ÷ 1/6
  3. 31/2 ÷ 1/10
  4. 43/4 ÷ 1/8
  • A4
  • B6
  • C2
  • D5
9
1/4 ÷ 1/12 gives a number bigger than 1.
TrueFalse

Stretch

10
Sam has 1 1/2 pitchers of tea, shown as a full bar and part of another. A cup holds 1/2 of a pitcher. How many cups is that? Answer:
11
Sam has 2 2/3 pitchers of tea, shown as two full bars and part of a third. A cup holds 2/3 of a pitcher. How many cups is that? Answer:
12
Explain how you could find how many 1/6-cup scoops fit in 2/3 of a cup.
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Answer key · Set B
Cups in a Pitcher
14 2/3 is the same as 4/6, so 4 sixths. Four cups of 1/6 fit.
25 1/2 is the same as 5/10, so 5 tenths. Five scoops fit.
3C 3/4 is 9/12, so nine twelfths are shaded. A shows only 6/12, and B is cut into fourths, not twelfths.
46 3/5 is 6/10. Six glasses of 1/10 fit.
5False 2/3 is 4/6, and four sixths is four scoops of one sixth: 2/3 ÷ 1/6 = 4.
61 1/2 cups 1/2 ÷ 1/3 = 3/2, which is 1 1/2. One whole cup fits, and half a cup more.
71/3 The cup holds 3 fourths, and the tea is 1 fourth. 1 is one third of 3, so the tea fills 1/3 of a cup.
81-C, 2-A, 3-D, 4-B Write both with the same bottom number, then count how many of the small piece fit.
9True 1/4 is 3/12, so three scoops of 1/12 fit. 3 is bigger than 1.
103 1 1/2 is the same as 3 halves. Each cup is one half, so 3 cups.
114 2 2/3 is 8/3. Eight thirds in cups of two thirds: 8 ÷ 2 = 4 cups.
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.