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Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Every problem has a worked solution with the final answer in bold. Bar models are drawn where they help, so compare the model with your own picture as well as the final number.
Standards: 6.RP.A.3c · Level: Grade 6
Problem 1 Meaning of Percent
45% means 45 per 100, or 45 : 100. As a fraction, 45100 = 920. As a decimal, 45 ÷ 100 = 0.45.
Answer: 45 : 100, 920, 0.45.
Problem 2 Reading a Hundred Grid
28 of 100 squares are shaded, so the percent is 28%.
Decimal: 0.28. Fraction: 28100 = 725.
Answer: 28%, 0.28, 725.
Problem 3 Fractions to Percents
(a) 3 ÷ 4 = 0.75 = 75%.
(b) 720 = 35100 = 35%.
(c) 1 ÷ 8 = 0.125 = 12.5%.
Answer: (a) 75%; (b) 35%; (c) 12.5%.
Problem 4 Decimals to Percents
Multiply each by 100 by moving the decimal point two places right.
Answer: (a) 62%; (b) 7%; (c) 140%.
Problem 5 Percents to Fractions
(a) 40100 = 25.
(b) 85100 = 1720.
(c) 6100 = 350.
Answer: (a) 25; (b) 1720; (c) 350.
Problem 6 Percent of a Number
(a) 0.30 × 80 = 24.
(b) 0.15 × 60 = 9.
(c) 0.08 × 250 = 20.
Answer: (a) 24; (b) 9; (c) 20.
Problem 7 Percent Bar Model
One part is 150 ÷ 10 = 15 students. Six parts are 6 × 15 = 90 students. The shaded part is 6 of 10 parts, which is 60%.
Answer: 90 students, 60%.
Problem 8 Finding the Percent
(a) 21 ÷ 28 = 0.75 = 75%.
(b) 9 ÷ 36 = 0.25 = 25%.
(c) 14 ÷ 40 = 0.35 = 35%.
Answer: (a) 75%; (b) 25%; (c) 35%.
Problem 9 Ordering Numbers
Write each as a percent: 0.45 = 45%, 38 = 37.5%, 41%, 25 = 40%.
Order: 37.5%, 40%, 41%, 45%.
Answer: 38, 25, 41%, 0.45.
Problem 10 A Decimal Percent
12.5% = 0.125, and 0.125 × 480 = 60. Check: 12.5% is one eighth, and 480 ÷ 8 = 60.
Answer: 60.
Problem 11 Finding the Whole
(a) 18 ÷ 0.30 = 60.
(b) 24 ÷ 0.15 = 160.
Check: 0.30 × 60 = 18 and 0.15 × 160 = 24.
Answer: (a) 60; (b) 160.
Problem 12 Whole from a Bar Model
Four parts equal $36, so one part is 36 ÷ 4 = $9. Ten parts are 10 × 9 = $90.
Answer: $90.
Problem 13 More Than 100 Percent
130% = 1.30, and 1.30 × 2,400 = 3,120.
Answer: $3,120.
Problem 14 Savings Bar
Saved: 13 × 4 = $52. Percent: 52 ÷ 80 = 0.65 = 65%. Check: each part is 5% and 13 × 5% = 65%.
Answer: $52, which is 65% of the goal.
Problem 15 Restaurant Tip
Tip: 0.18 × 64 = 11.52.
Total: 64 + 11.52 = 75.52.
Answer: $11.52 tip and $75.52 total.
Problem 16 Jacket Sale
Discount: 0.40 × 85 = 34.
Sale price: 85 − 34 = 51. Check: the price is 60% of 85, and 0.60 × 85 = 51.
Answer: $34 discount and $51 sale price.
Problem 17 Survey Results
Whole: 63 ÷ 0.35 = 180 students.
Not pizza: 180 − 63 = 117.
Answer: 180 students surveyed and 117 did not choose pizza.
Problem 18 Town Growth
Growth: 0.15 × 4,200 = 630.
New population: 4,200 + 630 = 4,830. Check: 115% of 4,200 is 1.15 × 4,200 = 4,830.
Answer: 4,830 people.
Problem 19 Fundraiser Goal
Friday: 0.84 × 2,500 = 2,100. After Saturday: 2,100 + 275 = 2,375.
Percent: 2,375 ÷ 2,500 = 0.95 = 95%. Still needed: 2,500 − 2,375 = 125.
Answer: 95% reached, $125 still needed.
Problem 20 Comparing Discounts
A: 0.75 × 120 = 90. B: 0.85 × 110 = 93.50.
93.50 − 90 = 3.50.
Answer: Store A’s coat costs $3.50 less.