Practice the questions given in the worksheet on ratio of two or more quantities.
Here the questions are related how to divide a quantity into two parts in a given ratio and similarly, to divide a quantity into three parts in a given ratio.
1. Divide 3570 in the ratio 2\(\frac{1}{5}\) : \(\frac{3}{5}\).
2. If a : b = 3 : 8 and c : d = 4 : 9 then find a : d.
3. If x : y = 2 : 3 and y : z = 9 : 8 then find the duplicate ratio of x : z.
4. Divide $ 2880 in the ratio \(\frac{1}{5}\) : \(\frac{2}{15}\) : 1\(\frac{2}{3}\).
5. If x : y = 12 : 5 and y : z = 15 : 8 then find the reciprocal ratio of x : z.
6. If x : y = 3 : 4 and y : z = 5 : 6, find: (i) x : z (ii) x : y : z
7. If j : k = 7 : 8, k : l = 15 : 4 and l : m = 16 : 21 then find m : j.
8. If p : q = \(\frac{1}{3}\) : \(\frac{1}{2}\) and q : r = \(\frac{1}{4}\) : \(\frac{1}{5}\), find (i) p : r (ii) p : q : r.
9. If a : b = 2 : 5, b : c = 15 : 8 and c : k = 3 : 2 then find the triplicate ratio of a : k.
10. Find x such that the ratio (28 + k) : (40 + k) = 3 : 4.
11. What should be added to both terms of 17 : 29 so that the ratio becomes 5 : 8?
12. What should be subtracted from both the terms of 19 : 39 So that the ratio becomes 3 : 7?
13. The angles of a triangle are in the ratio 3 : 5 : 10. Find the angles.
14. Find p if (3p + 1) : (5p - 4) is the duplicate ratio of 5 : 6.
15. Find m if (m + 1) : (m - 2) is the reciprocal ratio of 10 : 13.
16. If x : y = 4 : 5 and y : z = 2 : 15, find (i) x : y (ii) x : y : z
17. If a : b = 4 : 7, find the ratios:
(i) (4a + 7b) : (5a - b)
(ii) (3a - b) : (a + b)
18. If x : y : z = 1 : 3 : 5 and z = 25, find x and y.
19. If x : y = 5 : 3, find (5x + 8y) : (6x - 7y).
20. If (4a + 5b) : (a + 3b) = 2 : 1 then find a : b.
21. If (a + b) : (a - b) is equal to the duplicate ratio of 3 : 1 then find a : b.
22. If y(2x - y) : x(6x - y) = 1 : 6 then find ratio then find the ratio y : x.
23. If x : y : z = \(\frac{1}{5}\) : \(\frac{2}{25}\) : \(\frac{3}{5}\) and y = 24, find x and z.
24. If (a^2 + b^2) : ab = 5 : 2 then find the ratio (a + 2b) : (2a +b).
25. If (m + 3n) : (5m - 2n) = (4m + n) : (8m - 4n), where m ≠ 0, n ≠ 0 then find n : m.
26. If 2x = 5y = 4z, find x : y : z.
27. If the reciprocal ratio of (2x + y) : (x - y) is the ratio (x + 2y) : (3x - 2y) then find the duplicate ratio of a : b.
Answers for worksheet on ratio of two or more quantities are given below.
Answers:
1. $ 2805 and $ 765
2. 1 : 6
3. 9 : 16
4. $ 288, $ 192 and $ 2400
5. 2 : 9
6. (i) 5 : 8
(ii) 15 : 20 : 24
7. 2 : 5
8. (i) 5 : 6
(ii) 10 : 15 : 12
9. 729 : 512
10. 8
11. 3
12. 4
13. 30°, 50° and 100°
14. 8
15. 12
16. (i) 6 : 1
(ii) 12 : 2 : 15
17. (i) 5 : 1
(ii) 5 : 11
18. x : 5, y = 15
19. 49 : 9
20. 1 : 2
21. 5 : 4
22. 2 : 3 or 3 : 2
23. x = 60, z = 180.
24. 4 : 5 or 5 : 4
25. 3 : 2 or 4 : 5
26. 10 : 4 : 5
27. 100 : 1
● Ratio and proportion
From Worksheet on Ratio of Two or More Quantities to HOME PAGE
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.
Mar 02, 24 05:31 PM
Mar 02, 24 04:36 PM
Mar 02, 24 03:32 PM
Mar 01, 24 01:42 PM
Feb 29, 24 05:12 PM
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.