PRACTICE TEST ON RATIO AND PROPORTION

Problem 1 :

The ratio of 8 books to 20 books is

(A) 2 : 5    (B) 5 : 2    (C) 4 : 5    (D) 5 : 4

Solution

Problem 2 :

The ratio of the number of sides of a square to the number of edges of a cube is

(A) 1 : 2        (B) 3 : 2         (C) 4 : 1          (D) 1 : 3

Solution

Problem 3 :

A picture is 60 cm wide and 1.8 m long. The ratio of its width to its perimeter in lowest form is

(A) 1 : 2     (B) 1 : 3       (C) 1 : 4      (D) 1 : 8

Solution

Problem 4 :

Neelam’s annual income is $2800. Her annual savings amount to $3600. The ratio of her savings to her expenditure is

(A) 1 : 8    (B) 7 : 9    (C) 1 : 6    (D) 1 : 5

Solution

Problem 5 :

Mathematics textbook for Class VI has 320 pages. The chapter ‘symmetry’ runs from page 261 to page 272. The ratio of the number of pages of this chapter to the total number of pages of the book is

(A) 11 : 320      (B) 3 : 40    (C) 3 : 80     (D) 272 : 320

Solution

Problem 6 :

In a box, the ratio of red marbles to blue marbles is 7:4. Which of the following could be the total number of marbles in the box?

(A) 18       (B) 19       (C) 21         (D) 22

Solution

Problem 7 :

On a shelf, books with green cover and that with brown cover are in the ratio 2:3. If there are 18 books with green cover, then the number of books with brown cover is

(A) 12         (B) 24            (C) 27         (D) 36

Solution

Problem 8 :

If a bus travels 160 km in 4 hours and a train travels 320km in 5 hours at uniform speeds, then the ratio of the distances travelled by them in one hour is

(A) 1 : 2         (B) 4 : 5          (C) 5 : 8           (D) 8 : 5

Solution

Problem 9 :

In an election, the votes cast for two of the candidates were in the ratio 5 : 7. If the successful candidate received 20734 votes, how many votes did his opponent receive?

Solution

Problem 10 :

A metal pipe 3 meter long was found to weigh 7.6 kg. What would be the weight of the same kind of 7.8 m long pipe?

Solution

Problem 11 :

Bob has 12 red cards and 20 green cards. What is the ratio of Bob's red cards to this green cards ?

Solution

Problem 12 :

In a party 10 soft drinks are required for every 12 guests. If there are 252 guests, how many soft drinks is required.

Solution

Problem 13 :

In Jack's class, 18 of the students are tall and 10 are short. In Michael's class 54 students are tall and 30 students are short. Which class has a higher ratio of tall to short students ?

Solution

Problem 14 :

The price of 3 apples at the Quick Market is $1.44. The price of 5 of the same apples at Walmart is $2.50. Which place is the better buy ?

Problem 15 :

The bakers at the Bakery can make 160 bagels in 4 hours. How many bagels can they bake in 16 hours? What is the rate per hour ?

Solution

Problem 16 :

The ratio of the boys to girls in a class is 2 : 3. If there are 18 boys in the class, how many girls  are in that class ?

Solution

Problem 17 :

The ratio of red marbles to blue marbles in the bag is 3 : 4. If there are 42 marbles in the bag, how many of the marbles are red ?

Solution

Problem 18 :

A car travels 120 miles in 3 hours (with a constant speed). How far will it take to travel 200 miles?

Solution

Problem 19 :

50 apples cost $25. How much would 75 apples cost?

Solution

Problem 20 :

It takes Mike18 minutes to finish reading 4 pages of a book. How long does it take for him to finish reading 30 pages?

Solution

Problem 21 :

Nathan packs 25 boxes in 2 hours. How many boxes can he pack in his 8 – hour shift?

Solution

Problem 22 :

13 candy bars weigh 26 ounces. What is the weight of 35 candy bars?

Solution

Problem 23 :

A machine can produce 6 yards of fabric in 2 minutes. How much fabric can the machine produce in 1 hour?

Solution

Problem 24 :

24 loaves of bread cost $48. How much does 10 loaves cost?

Solution