Grade 5 math word problems worksheet with real-life scenarios and a school building illustration.

Let’s solve each problem one at a time, step by step.

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Problem 1:

A company donates 935 pencils to a school. The pencils are divided evenly among 9 classrooms. The rest of the pencils are given to the library. How many pencils were donated to each classroom and to the library?

Step 1: Divide 935 by 9 to find how many pencils each classroom gets.

We do long division or use a calculator:

935 ÷ 9 = 103 with a remainder.

Let’s check:
9 × 103 = 927

Now subtract that from 935 to find the remainder (which goes to the library):

935 - 927 = 8

So:
- Each classroom gets 103 pencils
- The library gets 8 pencils

✔ Check: 9 classrooms × 103 = 927 + 8 = 935 → Correct!

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Problem 2:

Manny owns 83 sets of basketball cards. Each set has exactly 504 cards. What is the total number of basketball cards Manny owns?

This is multiplication: 83 × 504

Let’s break it down:

First, think of 504 as 500 + 4

So:
83 × 500 = 41,500
83 × 4 = 332

Add them together:
41,500 + 332 = 41,832

✔ Double-check with direct multiplication:

504
× 83
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1512 ← 504 × 3
40320 ← 504 × 80 (shift left)
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41832

Yes, correct.

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Problem 3:

The city park is 9 ²⁄₇ miles from Roland Elementary School.
The city library is 3 ³⁄₁₀ miles from the same school.
How much farther from the school is the park than the library?

We need to subtract:
9 ²⁄₇ − 3 ³⁄₁₀

Step 1: Convert both mixed numbers to improper fractions.

9 ²⁄₇ = (9 × 7 + 2)/7 = (63 + 2)/7 = 65/7
3 ³⁄₁₀ = (3 × 10 + 3)/10 = (30 + 3)/10 = 33/10

Step 2: Find a common denominator for 7 and 10 → LCM is 70.

Convert both fractions:

65/7 = (65 × 10)/(7 × 10) = 650/70
33/10 = (33 × 7)/(10 × 7) = 231/70

Step 3: Subtract:

650/70 − 231/70 = 419/70

Step 4: Convert back to mixed number.

Divide 419 by 70:

70 × 5 = 350
419 − 350 = 69

So, 419/70 = 5 ⁶⁹₇₀

✔ Final answer: The park is 5 ⁶⁹⁄₇₀ miles farther from the school than the library.

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Final Answer:
1. Each classroom gets 103 pencils; the library gets 8 pencils.
2. Manny owns 41,832 basketball cards.
3. The park is 5 ⁶⁹₇₀ miles farther from the school than the library.