Worksheet on Proportion and Continued Proportion

Practice the questions given in the worksheet on proportion and continued proportion.

1. Check whether the following numbers are in proportion or not:

(i) 3, 5, 6, 10

(ii) 0.25, 0.5, 50, 100

(iii) 3, 4\(\frac{1}{2}\), 6, 9\(\frac{2}{3}\)

(iv) 4\(\frac{1}{2}\), 1\(\frac{1}{3}\), 2\(\frac{1}{4}\), \(\frac{2}{3}\)

 

2. Verify whether the following numbers are proportional.

(i) 5, 13, 15, 39

(ii) 7, 14, 56, 28

(iii) 0.3, 1.5, 0.06, 0.21

(iv) a, b, a\(^{2}\)b, ab\(^{2}\)

(v) a\(^{2}\) + ab, b\(^{2}\) + ab, ac\(^{2}\) + a\(^{2}\)c, b\(^{2}\)c + bc\(^{2}\)


3. Find x in the following proportions:

(i) 3.5 : 7.0 = x : 20

(ii) 6 : x = 4 : 25

(iii) \(\frac{2}{5}\) : \(\frac{1}{4}\) = x : \(\frac{5}{3}\)

(iv) x : 1\(\frac{1}{2}\) = 2\(\frac{1}{3}\) : 3\(\frac{2}{3}\)

 

4. Find k in each case so that the numbers are proportional.

(i) k, 25, 80, 16

(ii) 16, k, 38, 57

(iii) 7, 49, k, 112

(iv) 20, 80, 21, x

(v) (a\(^{2}\)b -ab\(^{2}\)), k, (am\(^{2}\) -ap\(^{2}\)), (cm\(^{2}\) - cp\(^{2}\))

 

5. Find the fourth proportional to:

(i) 25, 125, 3.5

(ii) \(\frac{1}{3}\), \(\frac{3}{7}\), 2\(\frac{3}{4}\)

(iii) 9, 48, 36

(iv) 85, 170, 34

 

6. Find the fourth proportional of the following sets numbers.

(i) a\(^{2}\)b, b\(^{2}\)c, c\(^{2}\)a

(ii) m - n, m\(^{2}\) - n\(^{2}\), m\(^{2}\) - mn + n\(^{2}\)

(iii) 36, 48, 75

(iv) 0.15, 0.225, 0.64

(v) 2ab, a\(^{2}\), b\(^{2}\)

(vi) a + b, a\(^{2}\) - b\(^{2}\), a\(^{2}\) + ab + b\(^{2}\)

 

7. Check the following are in continued proportion or not:

(i) 0.4, 3.6, 3.24

(ii) 2.4, 9.6, 38.4

 

8. Find p in each case so that the numbers are in continued proportion.

(i) p, \(\frac{1}{2}\), 2

(ii) 16, p, 9

(iii) a - b, a(a - b), p


9. Find the third proportional of the following set of numbers:

(i) 7, 14

(ii) 2.5, 3.5

(iii) 1\(\frac{2}{5}\), 5\(\frac{3}{5}\)

(iv) 0.5, 4.5

(v) p\(^{3}\)q\(^{2}\), q\(^{2}\)r

(vi) (x - y)\(^{2}\), (x\(^{2}\) - y\(^{2}\))\(^{2}\)

 

10. (i) If m, 10, n, 40 are in continued proportion hen find the positive values of m and n.

(ii) If 4, 16, m, n are in continued proportion then find m and n.

 


Answers for the worksheet on proportion and continued proportion are given below.


Answers


1. (i) Numbers are in proportion

(ii) Numbers are in proportion

(iii) Numbers are not in proportion

(iv) Numbers are in proportion

 

2. (i) Yes

(ii) No

(iii) No

(iv) Yes

(v) No

 

3. (i) 10

(ii) 37\(\frac{1}{2}\)

(iii) 2\(\frac{2}{3}\)

(iv) \(\frac{21}{22}\)

 

4. (i) 125

(ii) 24

(iii) 16

(iv) 84

(v) bc(a - b)

 

5. (i) 17.5

(ii) 3\(\frac{15}{28}\)

(iii) 192

(iv) 68

 

6. (i) \(\frac{bc^{3}}{a}\)

(ii) m\(^{3}\) + n\(^{3}\)

(iii) 100

(iv) 0.96

(v) \(\frac{1}{2}\)ab

(vi) a\(^{3}\) - b\(^{3}\)

 

7. (i) Numbers are not in continued proportion

(ii) Numbers are in continued proportion

 

8. (i) \(\frac{1}{8}\)

(ii) 12

(iii) a\(^{2}\)(a - b)

 

9. (i) 28

(ii) 4.9

(iii) 22\(\frac{2}{5}\)

(iv) 40.5

(v) \(\frac{q^{2}r^{2}}{pq}\)

(vi) (x + y)\(^{4}\)(x - y)\(^{2}\) or, (x + y)\(^{2}\)(x\(^{2}\) - y\(^{2}\))\(^{2}\)

 

10. (i) m = 5, n = 20

(ii) 64, 256











10th Grade Math

From Worksheet on Proportion and Continued Proportion to HOME




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.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.