7th Grade Math Review Worksheet with problems on GCF, rounding, decimal operations, and word problems.

Let’s solve each problem step by step.

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Problem 1: What is the greatest common factor of 15 and 5?

- Factors of 15: 1, 3, 5, 15
- Factors of 5: 1, 5
- Common factors: 1, 5
- Greatest common factor: 5

✔ Check: 5 divides both 15 (15 ÷ 5 = 3) and 5 (5 ÷ 5 = 1). No larger number does. So, correct.

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Problem 2: What is 27.5 rounded to the nearest whole number?

- Look at the decimal part: .5
- Rule: If it’s .5 or more, round up.
- 27.5 → rounds up to 28

✔ Check: 27.5 is exactly halfway between 27 and 28 — standard rule says round up. Correct.

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Problem 3: 0.25 x 0.1 = ?

- Think of it as fractions:
0.25 = 25/100 = 1/4
0.1 = 1/10
So, (1/4) × (1/10) = 1/40 = 0.025

Or multiply decimals directly:
0.25 × 0.1 → move decimal one place left in 0.25 → becomes 0.025

✔ Check: 0.25 × 0.1 = 0.025. Correct.

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Problem 4: A school used 15 kilograms of peaches to make 100 cups of fruit salad. What quantity of peaches did the school put in each fruit salad?

- Total peaches: 15 kg
- Number of cups: 100
- Peaches per cup = 15 ÷ 100 = 0.15 kg

✔ Check: 0.15 kg × 100 = 15 kg. Correct.

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Problem 5: Evaluate. 1 + 0.45 + 1.35 = ?

Add step by step:

First: 1 + 0.45 = 1.45
Then: 1.45 + 1.35 = ?

Break it down:
1.45 + 1.35 = (1 + 1) + (0.45 + 0.35) = 2 + 0.80 = 2.80

Or just add vertically:

```
1.00
+ 0.45
+ 1.35
------
2.80
```

✔ Check: 1 + 0.45 + 1.35 = 2.8. Correct.

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Final Answer:
1. 5
2. 28
3. 0.025
4. 0.15 kg
5. 2.8