Unit Test: Proportional Reasoning-1 | Mathematics Class 8- New NCERT (Ganita Prakash) PDF Download

Time: 1 hour
M.M.: 30

General Instructions:

• Attempt all questions.

• Question numbers 1 to 5 carry 1 mark each.

• Question numbers 6 to 8 carry 2 marks each.

• Question numbers 9 to 11 carry 3 marks each.

• Question numbers 12 and 13 carry 5 marks each.

Q1. Simplify the ratio 84 : 126.
a) 4 : 5
b) 2 : 3
c) 6 : 9
d) 7 : 10
Answer: b) 2 : 3

Q2. If a : b = 3 : 4 and b : c = 2 : 5, then a : b : c = ?
a) 6 : 8 : 20
b) 3 : 4 : 5
c) 2 : 3 : 5
d) 5 : 10 : 8

Q3. A sum of $720 is divided in the ratio 2 : 7. The smaller share is:
a) $160
b) $140
c) $200
d) $180

Q4. If 8 notebooks cost $64, the cost of 5 notebooks is:
a) $30
b) $35
c) $40
d) $45

Q5. The fourth proportion of 5, 10, and 15 is:
a) 20
b) 25
c) 30
d) 35

Q6. Fill in the Blanks: 

(a) The ratio of 2.5 m to 75 cm is ___ : ___.
(b) If 7 pencils cost $21, then the cost of 12 pencils is ___.
(c) If 9 : x = 27 : 54, then x = ___.

Q7: The monthly incomes of P and Q are in the ratio 5 : 7. If Q’s income is ₹42,000, find P’s income.

Q8: A recipe needs oil and milk in the ratio 4 : 3. If you use 900 g of milk, how much oil is needed?

Q9. Simplify the ratio 90 : 135.

Q10. A’s salary is 25% more than B’s salary. Find the ratio of A’s salary to B’s salary.

Q11. Divide $630 in the ratio 5 : 4.

Q12. A man distributes $5400 among three daughters in the ratio 3 : 2 : 1. Find the amount received by each.

Q13. If a : b = 4 : 5 and b : c = 10 : 7, find the ratio a : b : c.

​You can access the solutions to this Unit Test here.