Question

grade 7 percentages worksheet section a: multiple choice 1. what is 25% of 80?
a) 10 b) 15 c) 20 d) 25

1. which fraction is equal to 60%?

a) 3/5 b) 6/10 c) 2/3 d) a & b

1. what is 10% of 250?

a) 20 b) 25 c) 30 d) 35

1. a price increases from $50 to $60. what is the percent increase?

a) 10% b) 15% c) 20% d) 25%

section b: short answer 5. find 35% of 200. ______

1. what percent is 12 out of 30? ______%

1. a shirt costs $40 with 20% off. sale price: ______

1. you scored 18 out of 24. what percent is that? ______%

section c: word problems 9. laptop is $800 with 5% tax. how much tax? ______

1. population 2000 increases by 12%. new population: ______

1. jacket price $120 increases by 15%. new price: ______

section d: challenge questions 12. school has 500 students, 40% girls. girls increase by 20% next year. new number: ______

1. phone $900, 25% discount then 8% tax. final price: ______

Explanation:

Question 1: What is 25% of 80?

Step1: Convert percentage to decimal

To find a percentage of a number, we first convert the percentage to a decimal. \( 25\% = \frac{25}{100} = 0.25 \)

Step2: Multiply by the number

Now, multiply this decimal by 80: \( 0.25 \times 80 = 20 \)

Step1: Convert percentage to fraction

\( 60\% = \frac{60}{100} \), simplify this fraction by dividing numerator and denominator by 20: \( \frac{60\div20}{100\div20} = \frac{3}{5} \)

Step2: Check other options

Simplify \( \frac{6}{10} \) by dividing numerator and denominator by 2: \( \frac{6\div2}{10\div2} = \frac{3}{5} \), so both \( \frac{3}{5} \) and \( \frac{6}{10} \) are equal to 60%. \( \frac{2}{3} \approx 0.666\), which is not equal to 0.6 (60%).

Step1: Convert percentage to decimal

\( 10\% = \frac{10}{100} = 0.1 \)

Step2: Multiply by the number

\( 0.1 \times 250 = 25 \)

Answer:

c) 20

Question 2: Which fraction is equal to 60%?