Ratios in Context - ISEE Lower Level Quantitative Reasoning

  1. What is the simplified form of the ratio 16:2416:24?
    2:32:3. Divide both 16 and 24 by their greatest common divisor of 8 to simplify the ratio.
  2. What is the ratio of blue to non-blue if 66 are blue and 1414 are not blue?
    3:73:7. Divide both 6 and 14 by their greatest common divisor of 2 to simplify the ratio of blue to non-blue.
  3. What is the simplified form of the ratio 2.4:3.62.4:3.6?
    2:32:3. Divide both 2.4 and 3.6 by 1.2 to eliminate decimals and simplify the ratio.
  4. What is the ratio of shaded to unshaded if 99 squares are shaded out of 1515 total?
    3:23:2. Subtract 9 shaded from 15 total to get 6 unshaded, then divide both 9 and 6 by 3 to simplify.
  5. What is the ratio of 88 apples to 3232 pieces of fruit in simplest form?
    1:41:4. Divide both 8 and 32 by their greatest common divisor of 8 to simplify the ratio of apples to total fruit.
  6. What is the ratio of wins to losses if a team has 1818 wins and 1212 losses (simplest)?
    3:23:2. Divide both 18 and 12 by their greatest common divisor of 6 to simplify the ratio of wins to losses.
  7. What is the simplified form of the ratio 12:1812:18?
    2:32:3. Divide both 12 and 18 by their greatest common divisor of 6 to simplify the ratio.
  8. What does the ratio a:ba:b represent in context (in simplest words)?
    aa parts of the first quantity for every bb parts of the second. The ratio a:ba:b compares two quantities, expressing the first as aa parts relative to bb parts of the second in their simplest terms.
  9. What is the ratio of 500500 mL to 22 L in simplest form?
    1:41:4. Convert 2 L to 2000 mL, then divide both 500 and 2000 by 500 to simplify the ratio.
  10. What is the ratio of girls to total students if there are 1515 girls and 1212 boys?
    5:95:9. Add 15 girls and 12 boys for a total of 27, then divide both 15 and 27 by 3 to simplify the ratio.
  11. What is the simplified form of the ratio 28:3528:35?
    4:54:5. Divide both 28 and 35 by their greatest common divisor of 7 to simplify the ratio.
  12. What is the simplified form of the ratio 63:8163:81?
    7:97:9. Divide both 63 and 81 by their greatest common divisor of 9 to simplify the ratio.
  13. What is the ratio of 22 feet to 1818 inches in simplest form?
    4:34:3. Convert 2 feet to 24 inches, then divide both 24 and 18 by 6 to simplify the ratio.
  14. What is the ratio of 0.50.5 kg to 250250 g in simplest form?
    2:12:1. Convert 0.5 kg to 500 g, then divide both 500 and 250 by 250 to simplify the ratio.
  15. What is the simplified form of the ratio 45:3045:30?
    3:23:2. Divide both 45 and 30 by their greatest common divisor of 15 to simplify the ratio.
  16. What is the ratio of 99 cats to 33 dogs in simplest form?
    3:13:1. Divide both 9 and 3 by their greatest common divisor of 3 to simplify the ratio of cats to dogs.
  17. What is the ratio of boys to girls if there are 1212 boys and 1515 girls (simplest)?
    4:54:5. Divide both 12 and 15 by their greatest common divisor of 3 to simplify the ratio of boys to girls.
  18. What is the ratio of 1818 red marbles to 1212 blue marbles in simplest form?
    3:23:2. Divide both 18 and 12 by their greatest common divisor of 6 to simplify the ratio of red to blue marbles.
  19. What is the meaning of the ratio a:ba:b written as a fraction?
    ab\frac{a}{b}. Converting a ratio to a fraction divides the first term by the second to represent their proportional relationship.
  20. What is the ratio of 33 weeks to 2121 days in simplest form?
    1:11:1. Convert 3 weeks to 21 days, then divide both 21 and 21 by 21 to simplify the ratio.
  21. What is the ratio of xx to yy in simplest form if x=24x=24 and y=36y=36?
    2:32:3. Divide both 24 and 36 by their greatest common divisor of 12 to simplify the ratio of xx to yy.
  22. What is the ratio of 77 girls to 2121 students in simplest form?
    1:31:3. Divide both 7 and 21 by their greatest common divisor of 7 to simplify the ratio of girls to total students.
  23. What is the ratio of 1515 minutes to 11 hour in simplest form?
    1:41:4. Convert 1 hour to 60 minutes, then divide both 15 and 60 by 15 to simplify the ratio.

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