6th Grade Percent Word Problems - Free Printable

Let's solve each of these percentage word problems step by step and explain the solutions clearly.

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1) In a class of 30 children, 18 of the children have blue eyes. What percentage of the class have blue eyes?

Step 1: Use the percentage formula:
$$
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
$$

Here, Part = 18 (children with blue eyes), Whole = 30 (total children)

$$
\frac{18}{30} \times 100 = 0.6 \times 100 = 60\%
$$

✔ Answer: 60%

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2) In a packet of 40 skittles, 12 are red. What percentage of the skittles are red?

$$
\frac{12}{40} \times 100 = 0.3 \times 100 = 30\%
$$

✔ Answer: 30%

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3) Tyger spends 25 minutes studying mathematics, 35 minutes studying science and 40 minutes studying history. What percentage of his time is spent studying science?

Step 1: Find total study time:
$$
25 + 35 + 40 = 100 \text{ minutes}
$$

Step 2: Calculate percentage for science:
$$
\frac{35}{100} \times 100 = 35\%
$$

✔ Answer: 35%

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4) Frazer scores 70% in a test. If there are a total of 40 marks, how many marks did he get?

Step 1: Use the formula:
$$
\text{Marks obtained} = \frac{70}{100} \times 40 = 0.7 \times 40 = 28
$$

✔ Answer: 28 marks

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5) Toronto FC have lost 5 of the 20 games they have played. What percentage of games have they lost?

$$
\frac{5}{20} \times 100 = 0.25 \times 100 = 25\%
$$

✔ Answer: 25%

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6) In a group of 32 children, 25% have blue eyes. How many children do not have blue eyes?

Step 1: First, find how many have blue eyes:
$$
25\% \text{ of } 32 = \frac{25}{100} \times 32 = 0.25 \times 32 = 8
$$

So, 8 children have blue eyes.

Step 2: Subtract from total to find those who do not have blue eyes:
$$
32 - 8 = 24
$$

✔ Answer: 24 children

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✔ Final Answers:

1) 60%
2) 30%
3) 35%
4) 28 marks
5) 25%
6) 24 children

All answers are rounded to the nearest whole number where needed (though none required rounding here).

Let me know if you'd like this formatted as a printable answer sheet!