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All questions of Ratio and Proportion for Class 6 Exam
Which of the following represents a direct proportion?- a)The relationship between the temperature and the amount of ice melting
- b)Increasing the price decreases the quantity sold
- c)The number of items sold does not affect the total cost
- d)Increasing the number of hours worked increases pay at a constant rate
Correct answer is option 'D'. Can you explain this answer?
Which of the following represents a direct proportion?
a)
The relationship between the temperature and the amount of ice melting
b)
Increasing the price decreases the quantity sold
c)
The number of items sold does not affect the total cost
d)
Increasing the number of hours worked increases pay at a constant rate
|
Freak Artworks answered |
In a direct proportion, if one quantity increases, the other does so at a constant rate. Thus, more hours worked directly leads to increased pay, maintaining the same ratio. This concept is essential in understanding financial relationships in employment.
How much pasta does Dakarai need for 12 people if 350 grams is required for 4 people?- a)1400 grams
- b)700 grams
- c)1050 grams
- d)900 grams
Correct answer is option 'C'. Can you explain this answer?
How much pasta does Dakarai need for 12 people if 350 grams is required for 4 people?
a)
1400 grams
b)
700 grams
c)
1050 grams
d)
900 grams
|
Edgy Education answered |
To find out how much pasta is needed for 12 people, we first determine the multiplier: 12 ÷ 4 = 3. Then, we multiply the amount of pasta needed for 4 people by this multiplier: 350 grams × 3 = 1050 grams. This application of direct proportion highlights how quantities scale with changes in the number of servings.
If the ratio of students to teachers in a school is 15:1 and there are 45 students, how many teachers are there?- a)1 teacher
- b)4 teachers
- c)2 teachers
- d)3 teachers
Correct answer is option 'D'. Can you explain this answer?
If the ratio of students to teachers in a school is 15:1 and there are 45 students, how many teachers are there?
a)
1 teacher
b)
4 teachers
c)
2 teachers
d)
3 teachers
|
Torcia Education answered |
The ratio of students to teachers is 15:1. If there are 45 students, we determine the multiplier: 45 ÷ 15 = 3. Therefore, the number of teachers is 1 × 3 = 3 teachers. Ratios help in managing classroom dynamics effectively and ensuring appropriate student-to-teacher ratios for education quality.
What does direct proportion imply about two quantities?- a)Their ratio changes constantly
- b)They are unrelated
- c)Their total remains constant
- d)They increase or decrease together in a constant ratio
Correct answer is option 'D'. Can you explain this answer?
What does direct proportion imply about two quantities?
a)
Their ratio changes constantly
b)
They are unrelated
c)
Their total remains constant
d)
They increase or decrease together in a constant ratio
|
Rahul Kumar answered |
Direct proportion indicates that when one quantity increases or decreases, the other quantity does so in the same ratio, meaning their ratio remains constant. This concept is essential in fields like physics and economics, where relationships between variables are often proportional.
What is the simplest form of the ratio 24:8?- a)3:1
- b)2:1
- c)4:1
- d)6:2
Correct answer is option 'A'. Can you explain this answer?
What is the simplest form of the ratio 24:8?
a)
3:1
b)
2:1
c)
4:1
d)
6:2
|
|
Torcia Education answered |
To simplify the ratio 24:8, we divide both numbers by their greatest common divisor (GCD), which is 8. So, 24 ÷ 8 = 3 and 8 ÷ 8 = 1, resulting in the simplest form of 3:1. Understanding how to simplify ratios is crucial, as it helps in comparing quantities easily.
What is the GCD of the numbers in the ratio 15:25?- a)10
- b)25
- c)15
- d)5
Correct answer is option 'D'. Can you explain this answer?
What is the GCD of the numbers in the ratio 15:25?
a)
10
b)
25
c)
15
d)
5
|
|
Edgy Education answered |
The greatest common divisor (GCD) of 15 and 25 is 5. This can be determined by listing the factors of each number: factors of 15 are 1, 3, 5, 15; factors of 25 are 1, 5, 25. The highest common factor is 5. Understanding GCD is crucial for simplifying ratios and fractions.
What is the ratio of 6 to 9 in its simplest form?- a)3:2
- b)2:3
- c)1:2
- d)4:5
Correct answer is option 'B'. Can you explain this answer?
What is the ratio of 6 to 9 in its simplest form?
a)
3:2
b)
2:3
c)
1:2
d)
4:5
|
|
Rahul Kumar answered |
To simplify the ratio 6:9, we divide both by their GCD, which is 3. Thus, 6 ÷ 3 = 2 and 9 ÷ 3 = 3, resulting in a simplified ratio of 2:3. This process is fundamental in mathematical comparisons and helps in establishing clearer relationships between quantities.
What is the ratio of 12 to 18 in its simplest form?- a)2:3
- b)1:1
- c)3:2
- d)4:5
Correct answer is option 'A'. Can you explain this answer?
What is the ratio of 12 to 18 in its simplest form?
a)
2:3
b)
1:1
c)
3:2
d)
4:5
|
|
Freak Artworks answered |
The GCD of 12 and 18 is 6. Dividing both parts by 6 gives us 12 ÷ 6 = 2 and 18 ÷ 6 = 3, resulting in the simplest form of 2:3. Simplifying ratios is important for clarity in mathematics, especially when dealing with larger numbers.
A model car is built at a scale of 1:24. If the model car's length is 8 inches, what is the length of the actual car?- a)192 inches
- b)96 inches
- c)48 inches
- d)24 inches
Correct answer is option 'A'. Can you explain this answer?
A model car is built at a scale of 1:24. If the model car's length is 8 inches, what is the length of the actual car?
a)
192 inches
b)
96 inches
c)
48 inches
d)
24 inches
|
|
Rahul Kumar answered |
To find the actual length of the car, multiply the model length by the scale factor: 8 inches × 24 = 192 inches. Understanding scale ratios is essential in model-making, architecture, and design, as it helps maintain proportions accurately.
If the ratio of the length to width of a rectangle is 5:3 and the length is 20 cm, what is the width?- a)10 cm
- b)12 cm
- c)15 cm
- d)8 cm
Correct answer is option 'B'. Can you explain this answer?
If the ratio of the length to width of a rectangle is 5:3 and the length is 20 cm, what is the width?
a)
10 cm
b)
12 cm
c)
15 cm
d)
8 cm
|
|
Rahul Kumar answered |
The ratio of length to width is 5:3. If the length is 20 cm, we find the multiplier: 20 ÷ 5 = 4. Then, we calculate the width: 3 × 4 = 12 cm. Ratios are essential in geometry to maintain proportional relationships between dimensions.
In a direct proportion, what happens to one quantity if the other quantity is halved?- a)It decreases
- b)It doubles
- c)It increases
- d)It remains the same
Correct answer is option 'A'. Can you explain this answer?
In a direct proportion, what happens to one quantity if the other quantity is halved?
a)
It decreases
b)
It doubles
c)
It increases
d)
It remains the same
|
Subset Academy answered |
In a direct proportion, if one quantity is halved, the other quantity also decreases, maintaining the constant ratio. This relationship is fundamental in various scientific and economic applications, where quantities are interdependent.
If 300 grams of tomatoes are needed for 6 servings, how many grams are required for 18 servings?- a)1200 grams
- b)900 grams
- c)600 grams
- d)150 grams
Correct answer is option 'B'. Can you explain this answer?
If 300 grams of tomatoes are needed for 6 servings, how many grams are required for 18 servings?
a)
1200 grams
b)
900 grams
c)
600 grams
d)
150 grams
|
|
Rahul Kumar answered |
The multiplier for servings is 18 ÷ 6 = 3. Therefore, we multiply the original amount of tomatoes by this multiplier: 300 grams × 3 = 900 grams. This scaling technique is commonly used in cooking to adjust recipes based on the number of servings needed.
In a classroom, the ratio of boys to girls is 3:4. If there are 12 boys, how many girls are there?- a)12 girls
- b)16 girls
- c)15 girls
- d)18 girls
Correct answer is option 'B'. Can you explain this answer?
In a classroom, the ratio of boys to girls is 3:4. If there are 12 boys, how many girls are there?
a)
12 girls
b)
16 girls
c)
15 girls
d)
18 girls
|
|
Torcia Education answered |
The ratio of boys to girls is 3:4. If there are 12 boys, we find the multiplier: 12 ÷ 3 = 4. Then, we multiply the girls' part of the ratio by this multiplier: 4 × 4 = 16. Therefore, there are 16 girls in the classroom. Ratios are useful in understanding demographic distributions in various settings.
If a recipe calls for a ratio of 1 part sugar to 4 parts flour, how much sugar is needed for 20 parts of flour?- a)10 parts sugar
- b)4 parts sugar
- c)2 parts sugar
- d)5 parts sugar
Correct answer is option 'D'. Can you explain this answer?
If a recipe calls for a ratio of 1 part sugar to 4 parts flour, how much sugar is needed for 20 parts of flour?
a)
10 parts sugar
b)
4 parts sugar
c)
2 parts sugar
d)
5 parts sugar
|
|
Subset Academy answered |
The ratio is 1:4, meaning for every 4 parts of flour, 1 part of sugar is needed. For 20 parts of flour, we find how many sets of 4 are in 20: 20 ÷ 4 = 5. Therefore, we need 5 parts of sugar. Ratios in recipes ensure the right balance of ingredients for desired outcomes.
If the ratio of apples to oranges is 6:3, what is the equivalent ratio?- a)1:2
- b)2:1
- c)3:2
- d)4:1
Correct answer is option 'B'. Can you explain this answer?
If the ratio of apples to oranges is 6:3, what is the equivalent ratio?
a)
1:2
b)
2:1
c)
3:2
d)
4:1
|
|
Rahul Kumar answered |
The ratio 6:3 can be simplified by dividing both parts by their GCD, which is 3. Thus, 6 ÷ 3 = 2 and 3 ÷ 3 = 1, leading to an equivalent ratio of 2:1. Equivalent ratios are useful in various contexts, such as recipes or scaling models.
If the ratio of cats to dogs in a shelter is 4:7, how many dogs are there if there are 32 cats?- a)48 dogs
- b)64 dogs
- c)56 dogs
- d)72 dogs
Correct answer is option 'C'. Can you explain this answer?
If the ratio of cats to dogs in a shelter is 4:7, how many dogs are there if there are 32 cats?
a)
48 dogs
b)
64 dogs
c)
56 dogs
d)
72 dogs
|
|
Freak Artworks answered |
To find the number of dogs, we set up the ratio 4:7 = 32:x. First, find the multiplier: 32 ÷ 4 = 8. We then multiply the dogs' part of the ratio by this value: 7 × 8 = 56. Therefore, there are 56 dogs in the shelter. Ratios help in managing resources effectively in real-world scenarios.
What is the equivalent ratio of 5:8 if both parts are multiplied by 2?- a)12:14
- b)8:10
- c)10:16
- d)5:10
Correct answer is option 'C'. Can you explain this answer?
What is the equivalent ratio of 5:8 if both parts are multiplied by 2?
a)
12:14
b)
8:10
c)
10:16
d)
5:10
|
|
Torcia Education answered |
Multiplying both parts of the ratio 5:8 by 2 gives us 10:16. This demonstrates how equivalent ratios maintain the same relationship between quantities, which is crucial in various applications such as scaling recipes or models.
A recipe calls for 4 eggs for every 6 cups of flour. If a baker uses 12 cups of flour, how many eggs are needed?- a)4 eggs
- b)6 eggs
- c)8 eggs
- d)10 eggs
Correct answer is option 'C'. Can you explain this answer?
A recipe calls for 4 eggs for every 6 cups of flour. If a baker uses 12 cups of flour, how many eggs are needed?
a)
4 eggs
b)
6 eggs
c)
8 eggs
d)
10 eggs
|
|
Torcia Education answered |
The ratio of eggs to flour is 4:6. For 12 cups of flour, the multiplier is 12 ÷ 6 = 2. Therefore, the number of eggs needed is 4 × 2 = 8 eggs. Understanding ratios in cooking ensures that recipes yield consistent results.
If a recipe requires 2 cups of flour for every 3 cups of sugar, how many cups of flour are needed if you use 12 cups of sugar?- a)4 cups
- b)6 cups
- c)8 cups
- d)10 cups
Correct answer is option 'C'. Can you explain this answer?
If a recipe requires 2 cups of flour for every 3 cups of sugar, how many cups of flour are needed if you use 12 cups of sugar?
a)
4 cups
b)
6 cups
c)
8 cups
d)
10 cups
|
|
Subset Academy answered |
The ratio of flour to sugar is 2:3. If we have 12 cups of sugar, we calculate the multiplier: 12 ÷ 3 = 4. Then, we find the amount of flour needed: 2 cups × 4 = 8 cups. Ratios in recipes help maintain the intended flavor and texture by balancing ingredient proportions.
In a survey, the ratio of people preferring apples to bananas is 3:5. If 45 people prefer bananas, how many prefer apples?- a)27 people
- b)36 people
- c)18 people
- d)30 people
Correct answer is option 'A'. Can you explain this answer?
In a survey, the ratio of people preferring apples to bananas is 3:5. If 45 people prefer bananas, how many prefer apples?
a)
27 people
b)
36 people
c)
18 people
d)
30 people
|
|
Subset Academy answered |
Given the ratio of apples to bananas is 3:5, we set up the equivalent ratio 3:5 = x:45. To find x, we calculate the multiplier as 45 ÷ 5 = 9. Then, multiplying both parts by 9 gives us 3 × 9 = 27. Therefore, 27 people prefer apples. Understanding ratios can aid in analyzing survey data effectively.
Chapter doubts & questions for Ratio and Proportion - Year 6 Mathematics IGCSE (Cambridge) 2025 is part of Class 6 exam preparation. The chapters have been prepared according to the Class 6 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 6 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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Year 6 Mathematics IGCSE (Cambridge)
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