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Maths · Grade 6 · Set A
How Many Fit Inside?
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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
Mia has 3/5 of a cup of rice. A scoop holds 1/10 of a cup. The bar is 1 cup in tenths, with the rice shaded. How many scoops is that? Answer:
2
Mia has 1/4 of a cup of rice. A scoop holds 1/8 of a cup. The bar is 1 cup in eighths. How many scoops is that? Answer:
3
Mia has 3/4 of a cup of rice. Which picture shows the rice cut into scoops of 1/8 of a cup?
A
B
C
4
Mia has 4/5 of a cup of rice, marked on the line. A scoop holds 1/10 of a cup. How many scoops is that? Answer:
5
5/8 ÷ 1/8 = 5
TrueFalse

When the scoop is not 1 over the same number

6
Mia has 1/6 of a cup of rice. A scoop holds 1/8 of a cup. How many scoops is that? A part of a scoop counts.
3/4 of a scoop1 1/3 scoops1/48 of a scoop2 scoops
7
Mia has 1/5 of a cup of rice, shown by the shaded part. A scoop holds 4/5 of a cup. What part of a scoop is that? Answer:
8
Join each division to how many scoops fit.
  1. 13/4 ÷ 1/4
  2. 21/2 ÷ 1/8
  3. 35/6 ÷ 1/6
  4. 43/5 ÷ 1/10
  • A4
  • B6
  • C3
  • D5
9
1/2 ÷ 1/8 gives a number smaller than 1/2.
TrueFalse

Stretch

10
Mia has 1 3/5 cups of rice, shown as a full bar and part of another. A scoop holds 2/5 of a cup. How many scoops is that? Answer:
11
Mia has 2 1/2 cups of rice. Each bar is 1 cup in sixths. A scoop holds 5/6 of a cup. How many scoops is that? Answer:
12
Explain how you could find how many 1/10-cup scoops fit in 3/5 of a cup.
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Answer key · Set A
How Many Fit Inside?
16 3/5 is the same as 6/10, so 6 tenths. Six scoops of 1/10 fit.
22 1/4 is 2/8, so 2 eighths. Two scoops fit.
3B 3/4 is 6/8, so six eighths are shaded. A shows only 3/8, and C is cut into fourths, not eighths.
48 4/5 is 8/10. Eight scoops of 1/10 fit.
5True Five eighths is five scoops of one eighth.
61 1/3 scoops 1/6 ÷ 1/8 = 8/6, which is 1 1/3. A bit of rice is left over after one scoop.
71/4 The scoop holds 4 fifths, and the rice is 1 fifth. 1 is one fourth of 4, so the rice fills 1/4 of a scoop.
81-C, 2-A, 3-D, 4-B Write both with the same bottom number, then count how many of the small piece fit.
9False Small pieces fit many times. 1/2 ÷ 1/8 = 4, which is bigger than 1/2.
104 1 3/5 is 8/5. Eight fifths in scoops of two fifths: 8 ÷ 2 = 4.
113 2 1/2 cups is 15 sixths. A scoop is 5 sixths. 15 ÷ 5 = 3 scoops.
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.