Parts and Wholes
Gujarat Board · Class 5 · Math - Magic
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Quick Quiz: Parts and Wholes
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Manju had a chocolate bar with 12 pieces. She gave one-fourth to Raji. How many pieces did Raji get?
Manju had a 12-piece chocolate. She gave 1/4 to Raji, 1/3 to Sugatha, and 1/6 to Sheela. How many pieces did Manju eat herself?
There are 15 hats. If you colour 1/3 of them red, how many hats will be coloured red?
Which fraction is equivalent to 1/2?
Sample Questions
Ramu's vegetable field has 9 equal parts. He grows tomatoes in 3 parts. What fraction of the field is used for tomatoes?
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1/3
Step 1: Total parts in the field = 9. Tomato parts = 3. Step 2: Fraction = parts used for tomatoes / total parts = 3/9. Step 3: Simplify 3/9 by dividing both by 3: 3÷3 / 9÷3 = 1/3. Step 4: So tomatoes grow in 1/3 of the field. Verification: 1/3 of 9 = 3 parts. Correct!
Arun sleeps for 1/3 of a day. How many hours does he sleep?
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8 hours
Step 1: A full day = 24 hours. Arun sleeps 1/3 of a day. Step 2: Find 1/3 of 24: 24 ÷ 3 = 8. Step 3: Arun sleeps 8 hours. Verification: 3 × 8 = 24 hours in a day. Correct! Common mistake: Using 12 hours (which would be 1/2 a day, not 1/3).
Arun studies for 1/4 of a day. How many hours does he study?
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6 hours
Step 1: A full day = 24 hours. Arun studies 1/4 of a day. Step 2: Find 1/4 of 24: 24 ÷ 4 = 6. Step 3: Arun studies 6 hours. Verification: 4 × 6 = 24 hours in a day. Correct! Common mistake: Confusing 1/4 with 1/3. Remember 1/4 means divide by 4.
A circle is divided into 8 equal parts. If 2 parts are coloured red and 1 part is coloured orange, what fraction of the circle is NOT coloured?
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5/8
Step 1: Total parts = 8. Red = 2 parts, Orange = 1 part. Step 2: Total coloured parts = 2 + 1 = 3 parts. Step 3: Uncoloured parts = 8 - 3 = 5 parts. Step 4: Fraction not coloured = 5/8. Verification: 3/8 coloured + 5/8 uncoloured = 8/8 = 1 whole. Correct!
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