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🍕 6th grade math · Fractions & Decimals

Percent of a number

Find 10% and 1%, then build up. 35% of 80: 10% is 8, so 30% is 24; 5% is 4. 24 + 4 = 28. Or divide by 100 then multiply: 35 ÷ 100 × 80 = 28.

Worked example

A class has 400 students. 85% of them walk to school. How many students walk to school?
Answer: 340 students
10% of 400 is 40 and 5% is 20; add up 85%: 340 students. (Percent of a number = percent ÷ 100 × the number.)

For grown-ups: Find a percent of a quantity; find the whole from part and percent. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.

  • CCSS 6.RP.A.3c
What this practises, for teachers

Practices find a percent of a quantity; find the whole from part and percent (6.RP.A.3c). A printable sheet with its answer key, worked answers on the page, no accounts.

▶ Practise it

For your class

🖨️ Printable sheet and key

More printables, with answer keys, for this grade:

Try three

  1. A tank holds 20 liters. It is 40% full. How many liters of water are in the tank?
    percentliters0%010%20%30%40%?50%60%70%80%90%100%20
    Show the answer and how
    Answer: 8 liters
    10% of 20 is 2. 4 of those tenths is 4 × 2 = 8 liters. (Percent of a number = percent ÷ 100 × the number.)
  2. A tank holds 100 liters. It is 95% full. How many liters of water are in the tank?
    Show the answer and how
    Answer: 95 liters
    10% of 100 is 10 and 5% is 5; add up 95%: 95 liters. (Percent of a number = percent ÷ 100 × the number.)
  3. A class has 176 students. 75% of them walk to school. How many students walk to school?
    Show the answer and how
    Answer: 132 students
    10% of 176 is 17.6 and 5% is 8.8; add up 75%: 132 students. (Percent of a number = percent ÷ 100 × the number.)

Before and after

Learn first: What is a percent? (6th)

Comes next: Sales, tips and percent change (7th)

Name: ____________________Date: ____________Score: ____ / 12

Percent of a number (6th grade)

  1. A team played 300 games and won 90% of them. How many games did the team win?
    percentgames0%010%20%30%40%50%60%70%80%90%?100%300
  2. A team played 100 games and won 65% of them. How many games did the team win?
  3. A team played 490 games and won 90% of them. How many games did the team win?
  4. A team played 300 games and won 16% of them. How many games did the team win?
  5. A jar holds 150 beads. 44% of the beads are red. How many beads are red?
  6. A team played 350 games and won 94% of them. How many games did the team win?
  7. A jar holds 50 beads. 50% of the beads are red. How many beads are red?
  8. A class has 230 students. 30% of them walk to school. How many students walk to school?
  9. A jar holds 92 beads. 75% of the beads are red. How many beads are red?
  10. A class has 120 students. 15% of them walk to school. How many students walk to school?
  11. A tip of 5% is left on a $114 bill. How many dollars is the tip?
  12. A team played 245 games and won 80% of them. How many games did the team win?

Answer key

  1. 270 games
  2. 65 games
  3. 441 games
  4. 48 games
  5. 66 beads
  6. 329 games
  7. 25 beads
  8. 69 students
  9. 69 beads
  10. 18 students
  11. $5.70
  12. 196 games

More 6th grade skills: all 6th grade math skills, or every grade at math skills.