# Worksheet on Comparison on Ratios

Practice the questions given in the worksheet on comparison on ratios. We know to compare two ratios we need to convert them into equivalent like fractions.

1. Which ratio is the greater 17 : 21 or 23 : 28?

2. Which of the following ratios is greater?

(i) 3 : 5 and 2 : 11

(ii) 2$$\frac{1}{2}$$ : 3$$\frac{3}{4}$$ and 1$$\frac{1}{2}$$ : 1$$\frac{5}{6}$$

3. Write the following ratios in ascending order.

(i) 2 : 3, 7 : 12 and 13 : 19

(ii) 4 : 13, 12 : 19 and 14 : 25

4. Arrange the following ratios in descending order of magnitude

2 : 3, 8 : 15, 11 : 12 and 7 : 16

5. If a > x > 0, prove that (a$$^{2}$$ - x$$^{2}$$) : (a$$^{2}$$ + x$$^{2}$$) > (a - x) : (a + x)

6. If a and b are unequal quantities of the same sign, which of the two ratios (a$$^{2}$$ + b$$^{2}$$) : (a$$^{3}$$ + b$$^{3}$$) and (a + b) : (a$$^{2}$$ + b$$^{2}$$) is greater?

Answers for the worksheet on comparison on ratios are given below.

1. 23 : 28 is greater than 17 : 21.

2. (i) 3 : 5

(ii) 1$$\frac{2}{3}$$ : 1$$\frac{5}{6}$$

3. (i) 7 : 12, 2 : 3, 13 : 19

(ii) 4 : 13, 14 : 25, 12 : 19

4. 11 : 12, 2 : 3, 8 : 15 and 7 : 16

6. (a + b) : (a$$^{2}$$ + b$$^{2}$$)

● Ratio and proportion

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Worksheet on Triangle | Homework on Triangle | Different types|Answers

Jun 21, 24 02:19 AM

In the worksheet on triangle we will solve 12 different types of questions. 1. Take three non - collinear points L, M, N. Join LM, MN and NL. What figure do you get? Name: (a)The side opposite to ∠L…

2. ### Worksheet on Circle |Homework on Circle |Questions on Circle |Problems

Jun 21, 24 01:59 AM

In worksheet on circle we will solve 10 different types of question in circle. 1. The following figure shows a circle with centre O and some line segments drawn in it. Classify the line segments as ra…

3. ### Circle Math | Parts of a Circle | Terms Related to the Circle | Symbol

Jun 21, 24 01:30 AM

In circle math the terms related to the circle are discussed here. A circle is such a closed curve whose every point is equidistant from a fixed point called its centre. The symbol of circle is O. We…

4. ### Circle | Interior and Exterior of a Circle | Radius|Problems on Circle

Jun 21, 24 01:00 AM

A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known