Question

make 6th grade question for ratios, unit rate, proportions, percent, rates

Answer 1

Here are 15 sixth-grade practice questions (3 for each topic) with an answer key and short solutions. Tell me if you want printable worksheet formatting or more/ harder problems.

Ratios
1) Easy — A bag has 8 red marbles and 12 blue marbles. What is the ratio of red to blue? Write it in simplest form.
2) Medium — For every 5 apples there are 3 oranges. If you have 45 apples, how many oranges do you have?
3) Challenge — A recipe uses 2 cups of sugar for every 5 cups of flour. If you use 20 cups of flour, how many cups of sugar should you use?

Unit rate
4) Easy — A car drives 300 miles in 5 hours. What is the unit rate in miles per hour?
5) Medium — A 9‑pound bag of rice costs $27. What is the unit price per pound?
6) Challenge — A pack of 3 pencils costs $2.50. What is the price per pencil? Round to the nearest cent.

Proportions
7) Easy — Solve for x: 3/4 = x/12.
8) Medium — If 6 notebooks cost $9, how much will 10 notebooks cost? Use a proportion.
9) Challenge — On a map, 1 inch represents 30 miles. How many miles does 4.5 inches represent?

Percent
10) Easy — What is 25% of 80?
11) Medium — What is 15% of $60?
12) Challenge — A jacket costs $120. It is first discounted 25%, then an extra 10% is taken off the sale price. What is the final price? (Round to nearest cent if needed.)

Rates (speed/combined work)
13) Easy — A cyclist rides 12 miles in 2 hours. What is the cyclist’s speed in miles per hour?
14) Medium — A car travels 150 miles in 3 hours and 30 minutes. What is the average speed in miles per hour? (Express as a decimal rounded to two places.)
15) Challenge — Machine A fills 30 bottles per hour and Machine B fills 20 bottles per hour. Working together, how long will they take to fill 250 bottles? Give your answer in hours and minutes.

Answer key with brief solutions
1) 8:12 = 2:3 (divide both by 4)
2) 45 apples × (3/5) = 27 oranges
3) Sugar/flour = 2/5, so sugar = 2/5 × 20 = 8 cups
4) 300 miles ÷ 5 hours = 60 miles/hour
5) $27 ÷ 9 lb = $3.00 per pound
6) $2.50 ÷ 3 ≈ $0.833... → $0.83 per pencil
7) 3/4 = x/12 → x = 12 × 3/4 = 9
8) 6 notebooks → $9 so 1 notebook = $1.50; 10 notebooks = $15 (or use proportion 6/9 = 10/x → x = 15)
9) 4.5 × 30 = 135 miles
10) 25% of 80 = 0.25 × 80 = 20
11) 15% of $60 = 0.15 × 60 = $9
12) First discount: 25% of 120 = $30 → sale price = $90. Extra 10% off $90 = $9 → final price = $81.00
13) 12 miles ÷ 2 hours = 6 mph
14) 3 hours 30 minutes = 3.5 hours. 150 ÷ 3.5 ≈ 42.857 → 42.86 mph
15) Combined rate = 30 + 20 = 50 bottles/hour. Time = 250 ÷ 50 = 5 hours (5 hours 0 minutes).

Want these as a printable worksheet, with answer blanks, or with step-by-step solution space for students?