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Grade 7 Sharing in a Ratio Worksheets

Split an amount of money or a pile of counters in a given ratio.

Every sheet below is generated fresh with a matching answer key. Pick one of the three levels, preview it, and print or download the PDF β€” no account, no watermark. For the other grade 7 ratios & proportions skills, see all ratios & proportions worksheets.

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Ratios & Proportions Β· Grade 7

Grade
Topic
SkillEach skill is a different kind of question, with its own levels.
Level
Questions
10

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Grade 7 Β· 3 pages Β· A4

Ratios & Proportions Practice

Grade 7 β€’ Sharing in a Ratio β€’ Three shares
Name:Date:

Share each amount in the given three-part ratio.

  1. 1) Share 297 coins in the ratio 3 : 2 : 4.
    Answer:
  1. 2) Share 78 beads in the ratio 2 : 1 : 3.
    Answer:
  1. 3) Share $455 in the ratio 2 : 5 : 6.
    Answer:
  1. 4) Share $336 in the ratio 6 : 5 : 1.
    Answer:
  1. 5) Share 330 tickets in the ratio 4 : 6 : 5.
    Answer:
  1. 6) Share 350 coins in the ratio 3 : 1 : 6.
    Answer:
  1. 7) Share 150 cards in the ratio 1 : 4 : 5.
    Answer:
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Page 1 of 3

Share each amount in the given three-part ratio. (continued)

  1. 8) Share $156 in the ratio 3 : 2 : 1.
    Answer:
  1. 9) Share 264 stickers in the ratio 4 : 1 : 3.
    Answer:
  1. 10) Share 108 beads in the ratio 1 : 2 : 1.
    Answer:
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Page 2 of 3

Answer Key

  1. 1. 99, 66 and 132
  2. 2. 26, 13 and 39
  1. 3. $70, $175 and $210
  2. 4. $168, $140 and $28
  1. 5. 88, 132 and 110
  2. 6. 105, 35 and 210
  1. 7. 15, 60 and 75
  2. 8. $78, $52 and $26
  1. 9. 132, 33 and 99
  2. 10. 27, 54 and 27
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Page 3 of 3

What each level generates

Grade 7 sharing in a ratio β€” the exact skill behind each difficulty setting, straight from the generator.

  1. Level 1Two shares
  2. Level 2Three shares
  3. Level 3Work back from one share

Grade levels follow the progression common to most English-language curricula β€” not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence β†’

More Grade 7 ratios & proportions skills

Each one generates a different kind of question, with its own three levels and answer key.

Frequently asked questions

β–ΈWhat is a proportional relationship?

Two quantities are proportional when their ratio is constant β€” double one and the other doubles. In a table the ratios are all equal, and on a graph the points form a straight line through the origin, described by the equation y = kx.

β–ΈHow do you find the constant of proportionality?

Divide one quantity by the other to get the unit rate, which is the constant k. If 3 kg cost 12 dollars, then k = 12 Γ· 3 = 4 dollars per kg. The Constant of Proportionality sub-skill here builds exactly this skill.

β–ΈHow is Grade 7 ratio work different from Grade 6?

Grade 6 introduces ratio language and unit rate; Grade 7 uses proportional relationships to reason further β€” identifying the constant of proportionality, writing y = kx equations, and solving multi-step percent problems. The Solving Proportions sub-skill steps up to finding an unknown value.

β–ΈCan I use these worksheets for percent, tax, and tip problems?

These sheets drill the underlying skills β€” solving proportions, scaling quantities, and the constant of proportionality β€” that make percent problems solvable. For dedicated percent, discount, and tax practice, use the Percentages topic, which is built for that.

β–ΈCan I make a version for a substitute teacher or a retest?

Yes. The shareable link reproduces the identical worksheet and answer key, so a substitute prints the exact sheet you planned. Press Shuffle instead for a fresh set at the same difficulty when you need a clean retest, and switch on the easy-read font if a student finds dense pages hard to track.