Grade 4 Word Problem Worksheet with four math problems involving fractions and basic arithmetic.

Let's solve each problem step by step.

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Problem 1:

Alex ate 10 pieces of chocolate. These 10 pieces made up 1/3 of the chocolates he had. How many chocolates did he have?

#### Solution:
1. Let the total number of chocolates Alex had be \( x \).
2. According to the problem, 10 pieces represent \( \frac{1}{3} \) of the total chocolates.
\[
\frac{1}{3}x = 10
\]
3. To find \( x \), multiply both sides of the equation by 3:
\[
x = 10 \times 3 = 30
\]

#### Answer:
\[
\boxed{30}
\]

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Problem 2:

Mr. Evans has 32 children in his classroom. He had 100 chocolates. How many could he give to each child, and how many would he have leftover?

#### Solution:
1. Mr. Evans has 100 chocolates and 32 children.
2. To find out how many chocolates each child can get, divide the total number of chocolates by the number of children:
\[
100 \div 32 = 3 \text{ R } 4
\]
- Each child gets 3 chocolates.
- The remainder is 4, which means there are 4 chocolates left over.

#### Answer:
Each child gets \( \boxed{3} \) chocolates, and there are \( \boxed{4} \) chocolates leftover.

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Problem 3:

There were 8 school buses and each bus could hold 70 children. How many children could they fit onto all 8 buses?

#### Solution:
1. Each bus can hold 70 children.
2. There are 8 buses.
3. To find the total number of children that can fit, multiply the number of buses by the capacity of each bus:
\[
8 \times 70 = 560
\]

#### Answer:
\[
\boxed{560}
\]

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Problem 4:

Peter loved to collect baseball cards. He had 21 cards and gave 1/3 of them away to his best friend. How many cards did he have left?

#### Solution:
1. Peter initially had 21 cards.
2. He gave away \( \frac{1}{3} \) of his cards. Calculate \( \frac{1}{3} \) of 21:
\[
\frac{1}{3} \times 21 = 7
\]
3. Subtract the number of cards given away from the total number of cards:
\[
21 - 7 = 14
\]

#### Answer:
\[
\boxed{14}
\]

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Final Answers:

1. \(\boxed{30}\)
2. Each child gets \(\boxed{3}\) chocolates, and there are \(\boxed{4}\) chocolates leftover.
3. \(\boxed{560}\)
4. \(\boxed{14}\)