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 1 :

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

Solution

Problem 2 :

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 3 :

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 4 :

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 5 :

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 6 :

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 7 :

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 8 :

Methane gas contains carbon atoms and hydrogen atoms in the ratio of 1 : 4. A sample of methane gas contains 92 hydrogen atoms. How many carbon atoms are in the sample? How many total atoms are in the sample?

Solution

Problem 9 :

A nutrition label shows that there are 75 milligrams of sodium in every 12 crackers. You eat 30 crackers. How much sodium do you consume?

Solution

Problem 10 :

Two whole numbers A and B satisfy the following conditions. Find A and B.

A + B = 44

A : B is equivalent to 4 : 7

Solution