Proportional Relationships Quiz

Grade 6 · Math · Quiz

Test your knowledge of proportions and proportional relationships.

Questions

  1. Solve for n: 3/5 = n/25

    1. 15
    2. 10
    3. 5
    4. 75
    Show answer

    Answer: 15

    Cross multiply: 3×25 = 5×n → 75 = 5n → n=15.

  2. If y = 5x, then the constant of proportionality is 5.

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    Answer: True

    In y=kx, k is the coefficient of x. Here k=5.

  3. A map has a scale of 1 inch = 40 miles. How many miles is 3.5 inches on the map?

    1. 140 miles
    2. 43.5 miles
    3. 80 miles
    4. 120 miles
    Show answer

    Answer: 140 miles

    1:40 = 3.5:? → 3.5 × 40 = 140 miles.

  4. Two ratios that are equal form a ___.

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    Answer: proportion

    A proportion is an equation stating two ratios are equal, like 3/5 = 6/10.

  5. Which table shows a proportional relationship?

    1. x: 1,2,3 and y: 4,8,12
    2. x: 1,2,3 and y: 2,5,8
    3. x: 2,4,6 and y: 1,3,5
    4. x: 1,2,3 and y: 3,5,7
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    Answer: x: 1,2,3 and y: 4,8,12

    Divide y/x: 4/1=4, 8/2=4, 12/3=4. All equal 4 → proportional.

  6. If 8 pencils cost $2.40, how much do 20 pencils cost?

    1. $6.00
    2. $4.80
    3. $3.00
    4. $19.20
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    Answer: $6.00

    Unit price: $2.40÷8 = $0.30 per pencil. 20 × $0.30 = $6.00.

  7. In a proportional relationship, when one quantity doubles, the other doubles too.

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    Answer: True

    Proportional relationships scale together — if x doubles, y=kx also doubles.

  8. In y = kx, the letter k stands for the constant of ___.

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    Answer: proportionality

    k is the constant of proportionality — the unchanging ratio between x and y.

  9. Cross multiply to solve: x/9 = 4/3. What is x?

    1. 12
    2. 3
    3. 36
    4. 7
    Show answer

    Answer: 12

    Cross multiply: x×3 = 9×4 → 3x = 36 → x=12.

  10. A car uses 2 gallons of gas for every 50 miles. How many gallons are needed for 175 miles?

    1. 7 gallons
    2. 5 gallons
    3. 8.75 gallons
    4. 3.5 gallons
    Show answer

    Answer: 7 gallons

    2/50 = x/175. Cross multiply: 2×175 = 50x → 350 = 50x → x=7.

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