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Mathematics Quiz: Ratios

Instructions: Answer all the questions by selecting the correct option where applicable.

Questions

  1. What is the ratio of 15 to 25?

    • A. 3:5
    • B. 1:2
    • C. 5:3
    • D. 2:3
  2. If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how many cups of flour are needed if you use 9 cups of sugar?

  3. A car travels 120 miles on 3 gallons of gasoline. What is the ratio of miles traveled to gallons used?

    • A. 40:1
    • B. 30:1
    • C. 4:1
    • D. 1:4
  4. If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 children in total?

  5. Two numbers are in the ratio 7:2. What is the first number if the second number is 16?

    • A. 30
    • B. 42
    • C. 28
    • D. 21
  6. The ratio of the length to the width of a rectangle is 5:3. If the perimeter of the rectangle is 64 cm, what are the dimensions of the rectangle?

  7. In a certain school, the ratio of teachers to students is 1:20. If there are 50 teachers, how many students are there?

    • A. 500
    • B. 1000
    • C. 100
    • D. 1500
  8. A mixture contains water and alcohol in the ratio 5:2. If there are 21 liters of the mixture, how much alcohol is there?

  9. The ratio of the ages of Alice and Bob is 4:5. If Alice is 32 years old, how old is Bob?

    • A. 40
    • B. 30
    • C. 36
    • D. 44
  10. If the ratio of cats to dogs in a shelter is 3:5 and there are 60 pets in total, how many dogs are there?

  11. The ratio of a circle’s circumference to its diameter is represented by what mathematical constant?

    • A. π (pi)
    • B. e
    • C. √2
    • D. 3
  12. If a scale model is built in the ratio of 1:50, how many centimeters will each 1 meter of a real object measure in the model?

  13. The ratio of two numbers is 11:4. If their sum is 220, what are the two numbers?

  14. A map uses a scale ratio of 1:100,000. If two cities are 5 cm apart on the map, what is the actual distance between the cities?

    • A. 5 km
    • B. 500 km
    • C. 50 km
    • D. 5000 km
  15. There are 18 red marbles and 6 blue marbles in a jar. What is the ratio of red to blue marbles?

  16. In a certain recipe, the ratio of rice to beans is 4:1. How much rice do you need if you want to make a total of 25 servings of the mixture?

    • A. 20 cups
    • B. 15 cups
    • C. 10 cups
    • D. 12.5 cups
  17. What is the ratio of the angles in a triangle?

    • A. 90:45:45
    • B. 1:1:1
    • C. 60:60:60
    • D. Various
  18. If the ratio of the length of a rectangle to its circumference is 2:3, what can be said about the relationship?

  19. The ratio of earnings to expenses is given as 5:3. If the total earnings amount to $5000, what are the total expenses?

    • A. $3000
    • B. $2500
    • C. $2000
    • D. $4000
  20. A student scored in the ratio of 15:20 on two exams. If their total score was 75, what was their score on each exam?

  21. A classroom has students in the ratio of 2:3 based on gender. If there are 30 students in total, how many are boys?

    • A. 18
    • B. 12
    • C. 15
    • D. 6
  22. If the ratio of the sides of a triangle is 3:4:5, what type of triangle is this?

    • A. Equilateral
    • B. Isosceles
    • C. Rectangular
    • D. Scalene
  23. The ratio of two consecutive angles in a triangle is 5:7. If the smallest angle is 35 degrees, what is the largest angle?

  24. If the ratio of X to Y is 3:4, what is the value of Y when X is 12?

    • A. 9
    • B. 16
    • C. 10
    • D. 8
  25. In a certain fruit basket, the ratio of apples to oranges is 7:3. If there are 70 fruits in the basket, how many apples are there?

  26. The ratio of a triangle’s base to its height is 3:5. If the height is 10 cm, what is the length of the base?

    • A. 6 cm
    • B. 5 cm
    • C. 8 cm
    • D. 4 cm
  27. If the ratio of two angles is 2:3 and their sum is 90 degrees, what are the measures of the angles?

  28. The length and width of a rectangle are in the ratio 5:2. If the perimeter is 56 cm, what is the length of the longer side?

    • A. 30 cm
    • B. 20 cm
    • C. 32 cm
    • D. 24 cm
  29. If the ratio of the height of a tree to the height of a building is 1:4 and the tree is 10 feet tall, how tall is the building?

  30. When mixing paint, the ratio of red to blue is given as 3:2. If you want to mix 25 liters of paint, how much of each color do you need?


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