Each of our Ganita Prakash Class 8 Worksheet and Class 8 Maths Chapter 7 Proportional Reasoning 1 Worksheet with Answers Pdf focuses on conceptual clarity.
Class 8 Maths Chapter 7 Proportional Reasoning 1 Worksheet with Answers Pdf
Proportional Reasoning 1 Class 8 Maths Worksheet
Class 8 Maths Chapter 7 Worksheet with Answers – Class 8 Proportional Reasoning 1 Worksheet
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Question 1.
Anita has 18 marbles and Ravi has 12 marbles. What is the ratio of marbles with Anita and Ravi?
(a) 8 : 2
(b) 9 : 16
(c) 3 : 2
(d) 2 : 3
Question 2.
Ratio of length to breadth of a rectangle is 3: 2. If rectangle is 9 cm long, its breadth is
(a) 4 cm
(b) 18 cm
(c) 6 cm
(d) 8 cm
Question 3.
A ratio compares
(a) Two numbers only
(b) Two sums
(c) Two quantities of same kind
(d) Two quantities of different kinds
Question 4.
Ratio 8 : 4 is equivalent to
(a) 1:2
(b) 2:1
(c) 4:8
(d) 16:12
Question 5.
The ratio 4 : 12 is same as
(a) 12 : 4
(b) 1 : 3
(c) 3 : 1
(d) 2 : 10
Question 6.
Which of the following forms a proportion?
(a) 2, 3, 4, 6
(b) 3, 4, 5, 8
(c) 2, 6, 9, 13
(d) 1, 3, 4, 6
Question 7.
The missing term of the proportion 12: _______ = 2 : 3 is
(a) 24
(b) 36
(c) 18
(d) 6
Question 8.
The missing term of the proportion 8: _______ = 3.2 : 4 is
(a) 6
(b) 12
(c) 24.6
(d) 10
Question 9.
There are x boys and y girls in a class. The ratio of girls to total students is
(a) \(\frac{x}{x+y}\)
(b) \(\frac{x}{y}\)
(c) \(\frac{y}{x}\)
(d) \(\frac{y}{x+y}\)
Question 10.
Rani had 60. She divided it between Manit and Harit in the ratio of 1: 2. Then Harit gets
(a) ₹ 40
(b) ₹ 20
(c) ₹ 120
(d) ₹ 60
Question 11.
The smaller of the two numbers whose sum is loo and whose ratio is 9: 16, is
(a) 9
(b) 16
(c) 64
(d) 27
Question 12.
Raman has 8 toffees and Anjan has 6 toffees. If Raman takes 4 more toffees, how many toffees must Anjan have so that the ratio of toffees with Raman and Anjan remains same?
(a) 6
(b) 12
(c) 9
(d) 6
Fill in the blanks
1. Ratio of 250 g to 1 kg is ____________.
2. Simplest form of 18 : 27 is ____________.
3. Ratio of 45 minutes to 1 hour is ____________.
4. To simplify a ratio, we divide both terms by their ____________.
5. If two ratios are _______ then they are said to be in proportion.
6. 10 g of sugar dissolved in 100 ml of water makes a sugar solution for lemonade. Amount of Sugar needed for 1 litre of water to make same type of solution is _______.
7. Find the number Q such that Q): 8 :: 3 : 24 _______.
8. In a proportion, product of means = _______.
9. If a :b – c : d, then \(\frac{d}{c+d}\) = _______.
10. Red pigment 12 ml is added to 3 L of white base paint to make pink colour. To get the same shade of pink, base paint of 2 L should be mixed with _______ of red pigment.
11. Aradhya makes 24 baskets in 3 hours. The number of hours required to make 32 baskets is _______
12. To cover an area of 60 m2, 240 tiles are required, then 80 tiles will be sufficient to cover _______ of area.
Write (T) for true or (F) for false for the given statements
1. 4 : 5 and 5 : 4 are equal ratios.
2. The ratio 100 cm : 1 m is 1 : 1.
3. If we multiply both terms by the same number, the ratio remains same.
4. The ratio 10 : 25 is equal to 2 : 5.
5. 3 : 33 :: 33 : 333.
6. 15 m : 35 m :: 40 m : 65 m.
7. If a, b, c, d are in proportion, then b, a, c, d will also be in proportion.
8. 12 hours : 30 hours = 8 km : 20 km.
9. 5 : 20 and 1 : 2 are equivalent.
10. Ratio of 50 paise to t 20 is 5 : 2.
11. When 12 counters are divided in the ratio of 1 : 1, then for 6 counters with first person, second person must have 1 counter.
12. For every 3 chocolate with Adil, 5 chocolates must be given to Aashna. Is it possible to divide 18 chocolates between Adil and Aashna? (each must have chocolates in whole numbers)
Very Short Answer Type Questions
Question 1.
Find the ratio of 400 gm to 2 kg.
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Question 2.
Rahul has 10 balls and 2 bats. What is the ratio of balls to bats?
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Question 3.
Simplify: 210: 240.
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Question 4.
Find the value of x: 18 : 17 = 90 : x.
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Question 5.
Complete the table
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Question 6.
What property is used to solve for a missing term in a proportion?
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Question 7.
Find \(\frac{2}{5+10}\)
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Question 8.
If a recipe requires 2 cups of flour for every 3 eggs, how many cups of flour are needed for 6 eggs?
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Short Answer Type Questions
Question 1.
Simplify: 18 : 24.
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Question 2.
Write in lowest form (a) 46 : 69
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Question 3.
Express as a ratio: 20 minutes to 1 hour.
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Question 4.
Express as a ratio: 12 cm to 1 m 20 cm.
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Question 5.
To bake a cake, ratio of sugar to butter used is 4 : 5. If 200 g of butter is used, then what quantity of sugar should be added to maintain the proportion?
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Question 6.
The standard cement plaster ratio is 1 part cement to 4 parts of sand. If Radhey bought 2 bags of cement to plaster the wall of his room, how many bags of sand should he buy to prepare the standard mixture?
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Question 7.
The ratio of length to width of the flag is same always. The flag on the top of school is 60 cm by 40 cm. What is the width of 150 cm long flag hoisted in the Town Park?
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Question 8.
A tap takes 6 minutes to fill a 20 litre bucket. How many buckets can be filled in 4 (i) 15 minutes (ii) 1 hour
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Question 9.
Divide 80 into two parts such that they are proportional to 2 : 8. What is the value of smaller part?
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Question 10.
7 kg of rice can be bought for ₹ 1092. How much does one have to pay for 12 kg of rice of the same quality?
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Question 11.
22 men can build a 27 m long wall. How many men should be employed for building a 135 m long wall?
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Long Answer Type Questions
Question 1.
Aditya has 18 marbles and Zain has four marbles less than Aditya. Find the ratio of marbles Aditya has to Zain.
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Question 2.
There are 20 candies in the bowl. Jubeen took 8 candies from the bowl. Find:
(а) Ratio of candies taken by Jubeen to the total candies that were in the bowl.
(b) Ratio of candies taken by Jubeen to candies left in the bowl.
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Question 3.
For a school trip, for a group of 12 children one teacher must accompany them. If 96 students were going for the trip, how many teachers must accompany them?
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Question 4.
To prepare halwa, Raju used 1000 g of Sooji and 1 kg of sugar. Find the ratio of Sooji to sugar used by Raju.
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Question 5.
Find the missing term in the proportion:
(a) 14: 21 :: _______ : 12
(b) 120 : 15 :: 80 : _______
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Question 6.
A car can travel 60 km in 80 minutes. If the speed remains same, what time will the car take to cover 105 km? (Use proportion).
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Question 7.
A car can travel 80 km in 5 litres of petrol. How much distance will it travel in 25 litres of petrol?
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Question 8.
Yield of wheat from 2 hectares of land is 90 quintals. Find the number of hectares of land required for a yield of 450 quintals.
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Question 9.
If the ratio of votes cast in favour of two candidates is 15 : 21, and the winner gets 20,727 votes, how many votes did the opponent get? Also find total votes cast.
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Question 10.
If a car covers 240 km with 20 litres of petrol, find how much petrol will be needed to cover 600 km. Also, if petrol costs ₹ 110 per litre, find the total cost of the journey.
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Question 11.
The cost of 5 kg apples is ₹ 400 and 3 kg oranges cost ₹ 180. Find the ratio of the cost per kg of apples to that of oranges.
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Question 12.
8 typists can type 960 pages. How many typists are needed to type 1080 pages? How many pages will be typed by 15 typists, typing at the same speed?
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Question 13.
The number of photocopies produced is directly proportional to the time the machine runs. If the machine produces 360 copies in 8 minutes, how many copies will it produce in 15 minutes?
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Case Based Questions
A painter, Rohan, uses his unique mixture of paint to cover large walls. He knows that the time taken to paint a wall is inversely proportional to the number of painters working on it, assuming they all work at the same rate. Rohan’s team of 5 painters can paint a standard wall in 12 hours. Rohan has just received an order for a new project where he needs to paint two such standard walls.
Based on the above information, answer the following questions:
Question 1.
How long will it take one painter from Rohan’s team to paint a single standard wall?
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Question 2.
If Rohan wants to finish painting the single standard wall in only 3 hours, how many painters must he employ?
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Question 3.
Rohan decides to use his 5-painter team for the new project (two standard walls). What is the total time taken to complete both walls?
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