Worksheet: Proportional Reasoning-1 | Worksheets with Solutions for Class 8 PDF Download

Multiple Choice Questions (MCQs)

Q1. Simplify the ratio 56 : 72.
a) 14 : 18
b) 7 : 9
c) 28 : 36
d) 8 : 9

Q2. If a : b = 2 : 3 and b : c = 3 : 5, then a : b : c = ?
a) 2 : 3 : 5
b) 2 : 3 : 9
c) 2 : 3 : 5
d) 2 : 3 : 7.5

Q3. A sum of $600 is divided in the ratio 3 : 5. The smaller share is:
a) $225
b) $200
c) $250
d) $180

Q4. If 6 pencils cost $24, the cost of 9 pencils is:
a) $28
b) $30
c) $36
d) $32

Q5. The fourth proportion of 3, 9, and 12 is:
a) 27
b) 36
c) 24
d) 18

Q6. The third proportion of 12 and 18 is:
a) 24
b) 27
c) 36
d) 30

Fill in the Blanks

Q1: The ratio of 75 cm to 2.5 m is ___ : ___.

Q2: If 4 pens cost $20, then the cost of 10 pens is ___.

Q4: The ratio of 1 hour to 45 minutes is ___ : ___.

Q5: If 7 : x = 21 : 63, then x = ___.

Q6: The third proportion of 8 and 12 is ___.

Q7: If a : b = 5 : 7, then b : a = ___ : ___.

Answer the following Questions: 

Q1. Simplify the ratio 42 : 63

Q2. Ron gets 20% more marks than John. Find the ratio of their marks.

Q3. Divide $490 in the ratio 4 : 3

Q4. A man distributes $4000 among three sons in the ratio 4 : 3 : 3. Find amount for first son.

Q5. If the ratio a : b = 2 : 3, and b : c = 3 : 4. Find the ratio a : c.

Q6. Two numbers: Five times the first = Four times the second. Find ratio.

Q7. Find the fourth proportion of 4, 9, and 12.

Q8. Find the third proportion of 16 and 36.

You can access the solutions to this unit test here.