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Ratios, Rates & Scale (Grade 7)

Free printable Grade 7 number worksheet: simplifying ratios, sharing in a ratio, rate and scale problems.

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Grade 7 · Math worksheet
Name
Date
Math

Number: Ratios & Scale

Simplify each ratio, share the amount in the given ratio, or use the map scale to find the real distance.

  1. 1.
    Simplify the ratio 27 : 21 to lowest terms.
  2. 2.
    Simplify the ratio 56 : 48 to lowest terms.
  3. 3.
    Simplify the ratio 32 : 44 to lowest terms.
  4. 4.
    Simplify the ratio 33 : 12 to lowest terms.
  5. 5.
    Simplify the ratio 99 : 54 to lowest terms.
  6. 6.
    Share $126 in the ratio 4 : 5.
  7. 7.
    Share $96 in the ratio 4 : 4.
  8. 8.
    Share $48 in the ratio 3 : 3.
  9. 9.
    Share $14 in the ratio 4 : 3.
  10. 10.
    Share $32 in the ratio 4 : 4.
  11. 11.
    A map has a scale where 1 cm represents 100 km. If two towns are 3 cm apart on the map, how far apart are they in real life?
  12. 12.
    A map has a scale where 1 cm represents 5 km. If two towns are 14 cm apart on the map, how far apart are they in real life?
  13. 13.
    A map has a scale where 1 cm represents 100 km. If two towns are 6 cm apart on the map, how far apart are they in real life?
  14. 14.
    A map has a scale where 1 cm represents 50 km. If two towns are 9 cm apart on the map, how far apart are they in real life?
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