7th Grade Word Problems Worksheet - Fill Online, Printable ... - Free Printable

Let’s solve each problem one by one, step by step.

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Problem 1:

Kory has an ant farm with 3 sections.
First section: 32 ants
Second section: 98 ants
Total ants: 176

We need to find how many ants are in the third section.

Step 1: Add the ants from the first two sections.
32 + 98 = 130

Step 2: Subtract that from the total to find the third section.
176 - 130 = 46

✔ So, there are 46 ants in the third section.

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Problem 2:

Billy pays $0.15 for every dollar he makes.
He made $827.

So we multiply:
827 × 0.15

Let’s break it down:

827 × 0.15 = 827 × (15/100) = (827 × 15) ÷ 100

First, 827 × 15:

827 × 10 = 8,270
827 × 5 = 4,135
Add them: 8,270 + 4,135 = 12,405

Now divide by 100:
12,405 ÷ 100 = 124.05

✔ Billy has to pay $124.05 to his dad.

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Problem 3:

Phil wants to climb at least 93% of a mountain that is 1,828 feet tall.

We need to find 93% of 1,828.

Step 1: Convert percent to decimal → 93% = 0.93

Step 2: Multiply:
1,828 × 0.93

Break it down:

1,828 × 0.90 = 1,645.2
1,828 × 0.03 = 54.84
Add them: 1,645.2 + 54.84 = 1,700.04

✔ Phil needs to climb at least 1,700.04 feet.

Since the question asks for “least amount,” and you can’t climb part of a foot practically, but mathematically we keep the decimal unless told otherwise — so we’ll go with 1,700.04 feet.

But let’s double-check:

1,828 × 0.93:

Do 1828 × 93 = ?

1828 × 90 = 164,520
1828 × 3 = 5,484
Total = 164,520 + 5,484 = 170,004

Now divide by 100 → 1,700.04 ✔

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Problem 4:

Scalene triangle with height = 8 feet, base = 5 feet.

Area of any triangle = (base × height) ÷ 2

So:
(5 × 8) ÷ 2 = 40 ÷ 2 = 20

✔ Area = 20 square feet

(Note: It doesn’t matter that it’s scalene — area formula is same for all triangles.)

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Problem 5:

Circle with diameter = 8 ft.

Circumference = π × diameter

Use π ≈ 3.14

So:
8 × 3.14 = ?

8 × 3 = 24
8 × 0.14 = 1.12
Total = 24 + 1.12 = 25.12

✔ Circumference = 25.12 feet

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Final Answer:
1) 46 ants
2) $124.05
3) 1,700.04 feet
4) 20 square feet
5) 25.12 feet