Free printable Grade 6 ratios and proportions worksheets (Ontario)

A Grade 6 ratio worksheet should show a comparison and then a rate. Ontario expectation B2.12 asks students to solve problems involving ratios, including percents and rates. The printable preview starts with language. A box has 5 red counters and 11 blue counters, and the question is the ratio of red counters to all counters, not red to blue. Students solve 11:4 = 55:x and extend a ratio table from 8 → 4, 16 → 8, 24 → 12 to the partner of 32. A unit price uses 3 pencils for 10.65 dollars. A train travelling 44 km each hour is scaled to 8 hours. A map uses 1 cm to 12 km and asks for the distance that 7 cm represents. Percent of a price, without the ratio notation, is the percentages page.

Ontario curriculum: Mathematics (2020) · Number B2.12 — solve problems involving ratios, including percents and rates

Question types

Sample questions

6 questions from ratios and proportions. Choices stay unmarked.

  1. 1.

    A box has 5 red counters and 11 blue counters. What is the ratio of red counters to all counters?

    • A11:16
    • B16:5
    • C5:11
    • D5:16
  2. 2.

    If 11:4 = 55:x, what is x?

    • A21
    • B14
    • C20
    • D22
  3. 3.

    A ratio table shows 8 → 4, 16 → 8, 24 → 12. What goes with 32?

    • A16
    • B18
    • C21
    • D31
  4. 4.

    3 pencils cost $10.65. How much does one pencil cost?

    • A$3.65
    • B$3.60
    • C$3.55
    • D$3.30
  5. 5.

    A train travels 44 km each hour. At the same rate, how far does it travel in 8 hours?

    • A352 km
    • B396 km
    • C362 km
    • D52 km
  6. 6.

    A map scale is 1 cm to 12 km. How far apart are two towns that are 7 cm apart on the map?

    • A84 km
    • B19 km
    • C72 km
    • D91 km

Common questions

What ratio language does the Grade 6 sheet use?
Part to whole, as in red counters compared with all the counters in the box, and equivalent pairs such as 11:4 = 55:x. Expectation B2.12 also includes rates, which show up as a train's hourly distance and a map scale.
Does this page include a map scale?
Yes. The scale is 1 cm to 12 km, and students find the real distance for 7 cm on the map. A separate item finds the cost of one pencil from a price for three.
How is a ratio table different from a proportion?
The table shows 8 → 4, 16 → 8, and 24 → 12, and asks what goes with 32. The proportion 11:4 = 55:x asks for the missing term in one statement. Both keep the same relationship.

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