40 Difficult Ratios and Proportions Questions You Have to Master At All Cost.
40 Ratio and Proportions for You Need To Master As Candidates
Where are the maths gurus? Are you preparing for any exams and need some difficult questions to lay your hands on? Well, these questions are for you. If you can solve these questions then I bet you, you attempt any question that appears in your exams on ratios and proportions.
There are 40 of them, master all questions and make sure you are conversant with them and should you meet them in you exams you can work them out.
Here are 40 difficult questions on ratio and proportions
1. If the ratio of boys to girls in a class is 3:5 and there are 72 students in total, how many boys are there?
2. A recipe calls for 2 cups of flour for every 3 cups of sugar. How much flour is needed if 9 cups of sugar are used?
3. In a map, the scale is 1 cm represents 5 km. If the distance between two cities on the map is 15 cm, what is the actual distance in kilometers?
4. The ratio of the ages of a father and son is 5:1. If the sum of their ages is 48, what is the age of the son?
5. In a school cafeteria, the ratio of the number of boys to the number of girls is 4:7. If there are 120 students in total, how many girls are there?
6. A recipe for cookies requires 3/4 cup of sugar for every 2 cups of flour. How much sugar is needed if 6 cups of flour are used?
7. The ratio of the sides of two similar triangles is 2:5. If the perimeter of the larger triangle is 30 cm, what is the perimeter of the smaller triangle?
8. A bag contains red and blue marbles in the ratio 3:7. If there are 40 marbles in total, how many of them are red?
9. In a drawing, the scale is 1 inch represents 8 feet. If the length of a room on the drawing is 2.5 inches, what is the actual length of the room in feet?
10. The ratio of the prices of two books is 4:5. If the first book costs $60, what is the cost of the second book?
11 – 20 Ratios and Proportions Questions
11. In a school, the ratio of the number of boys to the number of girls is 5:3. If there are 120 students in total, how many boys are there?
12. The ratio of the lengths of two ropes is 2:7. If the longer rope is 35 meters, what is the length of the shorter rope?
13. A recipe for pancakes requires 2 cups of milk for every 3 cups of flour. If 6 cups of flour are used, how much milk is needed?
14. The ratio of the heights of two trees is 3:8. If the shorter tree is 12 feet tall, what is the height of the taller tree?
15. In a bag of marbles, the ratio of red marbles to blue marbles is 2:5. If there are 49 marbles in total, how many of them are blue?
16. The ratio of the prices of two shirts is 3:4. If the first shirt costs $45, what is the cost of the second shirt?
17. In a map, the scale is 1 inch represents 10 miles. If the distance between two cities on the map is 2.5 inches, what is the actual distance in miles?
18. A bag contains green and yellow marbles in the ratio 5:3. If there are 64 marbles in total, how many of them are green?
19. The ratio of the sides of two similar triangles is 3:8. If the perimeter of the smaller triangle is 24 cm, what is the perimeter of the larger triangle?
20. A recipe for soup requires 1 cup of broth for every 4 cups of vegetables. If 12 cups of vegetables are used, how much broth is needed?
Question 21 – 30
21. The ratio of the lengths of two rectangles is 2:9. If the length of the larger rectangle is 18 centimeters, what is the length of the smaller rectangle?
22. A mixture of paint is made by mixing red and blue paint in a ratio of 4:7. If there are 120 milliliters of blue paint, how much red paint is needed?
23. The ratio of the ages of two people is 5:2. If their sum of ages is 49 years, what is the age of the younger person?
24. In a basketball game, the ratio of points scored by Team A to Team B is 3:2. If Team B scored 80 points, how many points did Team A score?
25. The ratio of the prices of two laptops is 3:5. If the first laptop costs $900, what is the cost of the second laptop?
26. In a bag of marbles, the ratio of blue marbles to green marbles is 7:4. If there are 36 green marbles, how many blue marbles are there?
27. The ratio of the radii of two circles is 2:5. If the circumference of the smaller circle is 20π cm, what is the circumference of the larger circle?
28. A recipe for a smoothie requires 1 cup of yogurt for every 2 cups of fruit. If 6 cups of fruit are used, how much yogurt is needed?
29. The ratio of the number of boys to the number of girls in a class is 5:3. If there are 40 students in total, how many boys are there?
30. In a map, the scale is 1 inch represents 25 miles. If the distance between two cities on the map is 3.5 inches, what is the actual distance in miles?
31 – 40 Questions on ratios
31. The ratio of the weights of two objects is 7:3. If the heavier object weighs 42 kilograms, what is the weight of the lighter object?
32. A recipe for muffins requires 3/4 cup of sugar for every 2 cups of flour. How much sugar is needed if 8 cups of flour are used?
33. The ratio of the heights of two buildings is 3:10. If the shorter building is 60 feet tall, what is the height of the taller building?
34. In a bag of candies, the ratio of chocolate candies to fruit candies is 5:2. If there are 35 fruit candies, how many chocolate candies are there?
35. The ratio of the prices of two cars is 4:9. If the first car costs $12,000, what is the cost of the second car?
36. The ratio of the perimeters of two squares is 3:5. If the perimeter of the smaller square is 36 centimeters, what is the perimeter of the larger square?
37. A recipe for pasta requires 1/2 cup of sauce for every 3 cups of noodles. If 6 cups of noodles are used, how much sauce is needed?
38. The ratio of the lengths of two segments is 5:12. If the longer segment is 30 centimeters, what is the length of the shorter segment?
39. In a bag of marbles, the ratio of red marbles to green marbles is 3:8. If there are 80 green marbles, how many red marbles are there?
40. The ratio of the ages of a group of friends is 2:5:8. If the sum of their ages is 105 years, what is the age of the oldest friend?
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