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Home › Grade8 › OLYMPIAD › Math Olympiad-Grade-8 › Ratio & Proportion › Ratio & Proportion Worksheet-6

Ratio & Proportion Worksheet-6

Ratio & Proportion Worksheet-6

 

  1. Three containers have their volumes in the ratio 3:4:5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4: 1), (3 : 1) and (5 : 2) respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is:

(a) 4 :  1              (b) 151 : 48        (c) 157 : 53        (d) 5 : 2

 

  1. x varies inversely as square of y. Given that y = 2 for x = 1. The value of x for y = 6 will be equal to:

(a) 3                    (b) 9                    (c)                    (d)

 

  1. If 10% of x = 20% of y, then x : y is equal to:

(a) 1 : 2               (b) 2 : 1               (c) 5 : 1               (d) 10 : 1

 

  1. The electricity bill of a certain establishment is partly fixed and partly varies as the number of units of electricity consumed. When in a certain month 540 units are consumed, the bill is Rs. 1800. In another month 620 units are consumed and the bill is Rs. 2040. In yet another month 500 units are consumed. The bill for that month would be :

(a) Rs. 1560      (b) Rs. 1680      (c) Rs. 1840      (d) Rs. 1950

 

  1. The ratio of the incomes of A and B is 5 : 4 and the ratio of their expenditures is 3.: 2. If at the end of the year, each saves Rs. 1600, then the income of A is:

(a) Rs. 3400     (b) Rs. 3600     (c) Rs. 4000     (d) Rs. 4400

 

  1. Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it?

(a) 58 kg            (b) 60 kg            (c) 64 kg            (d) 70 kg

 

  1. The compounded ratio of (2 : 3), (6 : 11) and (11 : 2) is:

(a) 1 : 2               (b) 2 : 1               (c) 11 : 24           (d) 36 : 121

 

  1. If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is:

(a) 2 : 3              (b) 3 : 4              (c) 3 : 20            (d) 20 : 3

 

  1. The least whole number which when subtracted from both the terms of the ratio 6 : 7 gives a ratio less than 16 : 21 is:

(a) 2                    (b) 3                    (c) 4                    (d) 6

 

  1. A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be:

(a) 5 : 7               (b) 5 : 9              (c) 7 : 5               (d) 9 : 5

 

  1. Which of the following ratios is greatest?

(a) 7 : 15             (b) 15 : 23          (c) 17 : 25           (d) 21 : 29

 

  1. A certain amount was divided between A and B in the ratio 4 : 3. If B's share was Rs. 4800, the total amount was:

(a) Rs. 11,200   (b) Rs. 6400     (c) Rs. 19,200   (d) Rs. 39,200

 

  1. A sum of Rs. 53 is divided among A, B, C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their shares is:

(a) 16 : 9 : 18     (b) 25 : 18 : 10  (c) 18 : 25 : 10  (d) 15 : 8 : 30

 

  1. What is the ratio whose terms differ by 40 and the measure of which is ?

(a) 16 : 56          (b) 14 : 56          (c) 15 : 56           (d) 16 : 72

 

Answer Key:

(1)-c; (2)-d; (3)-b; (4)-b; (5)-c; (6)-c; (7)-b; (8)-c; (9)-b; (10)-c; (11)-d; (12)-a; (13)-b; (14)-a