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Class 8 Maths
Proportional Reasoning 1 Chapter 7 Quiz 2
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There are 10 chocolate chip muffins, 12 blueberry muffins, 2 pumpkin muffins, and 8 corn muffins on a tray. Write the ratio of pumpkin to chocolate chip muffins in simplest form.
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10 to 12
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2 to 8
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2 to 10
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1 to 5
On a map, if one centimeter represents 25 kilometers, how many kilometers does 7 centimeters represent?
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175
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185
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200
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220
Observe the five tiger images labelled A, B, C, D, and E. Which set of images look similar, and which ones look different?
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Similar: A, C, D; Different: B, E
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Similar: A, B, C; Different: D, E
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Similar: A, D, E; Different: B, C
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Similar: B, D, E; Different: A, C
Do images B and E look like the other three images (A, C, and D)?
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Yes, they look the same as the others
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No, they look different from the others
Which statement best explains why images A, C, and D appear similar while B and E look different?
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In A, C, and D the width and height change by the same factor; in B and E they do not (E is a square).
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All five images have the same area, so A, C, and D look similar and B and E do not.
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B and E are higher resolution images than A, C, and D.
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A, C, and D have the same differences in width and height while B and E have larger differences.
Using the measurements Image A = 60 mm by 40 mm, Image B = 40 mm by 20 mm, Image C = 30 mm by 20 mm, Image D = 90 mm by 60 mm, and Image E = 60 mm by 60 mm, which image is a square?
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Image A
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Image B
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Image C
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Image D
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Image E
From image A (60 mm by 40 mm) to image D (90 mm by 60 mm), by what common factor are both the width and height multiplied?
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3/2
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2
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1/2
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4/3
By what factor should the ratio 60 : 40 (image A) be multiplied to obtain 90 : 60 (image D)?
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3/2
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2
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2/3
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5/4
What is the simplest form of the ratio of width to height for image B, which is 40 : 20?
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2 : 1
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3 : 2
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1 : 1
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4 : 3
What is the simplest form of the ratio of width to height for image E, which is 60 : 60?
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1 : 1
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3 : 2
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2 : 1
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5 : 4
What is the HCF of 72 and 96?
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12
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18
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24
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36
Kesang made 6 glasses of lemonade using 10 spoons of sugar. If she needs to make 18 more glasses with the same sweetness, how many spoons of sugar should she use?
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18 spoons
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20 spoons
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30 spoons
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36 spoons
In the lemonade problem, the number of glasses increases from 6 to 18. What is the factor of change in the first term of the ratio?
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2
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3
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6
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12
Nitin used 3 bags of cement for a 60 ft wall, while Hari used 2 bags for a 40 ft wall. Is Nitin correct to think Hari’s wall will be weaker because he used less cement?
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Yes, because using fewer bags always makes the wall weaker
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No, because the ratios of length to bags of cement are proportional for both walls
A car travels 90 km in 150 minutes. If it continues at the same speed, what distance will it cover in 4 hours?
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120 km
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144 km
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150 km
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160 km
Which of the following correctly formulates the proportion to find the distance covered in 4 hours, keeping time units consistent?
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150 : 90 :: 4 : ?
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150 : 90 :: 240 : ?
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90 : 150 :: 4 : ?
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4 : ? :: 150 : 90
To find the distance covered in 240 minutes at the same speed, which method is appropriate?
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Convert 4 hours to 240 minutes and use the proportion 150 : 90 :: 240 : x, then solve by cross-multiplication.
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Keep 4 hours as hours and use 150 : 90 :: 4 : x.
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Subtract the times and multiply by 90 to get the distance.
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Estimate by averaging 150 minutes and 240 minutes to scale the distance.
A small farmer in Himachal Pradesh sells each 200 g packet of tea for ₹200. A large estate in Meghalaya sells each 1 kg packet of tea for ₹800. After converting weights to the same units, are the weight-to-price ratios in both places proportional?
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Yes, they are proportional.
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No, they are not proportional.
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Cannot be determined from the given information.
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They are proportional only when measured per packet.
Based on the tea prices, which tea is more expensive per kilogram?
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Himachal Pradesh tea
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Meghalaya tea
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Both are the same price per kilogram
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It depends on packet size, so it cannot be compared
The Earth travels approximately 940 million kilometres around the Sun in a year. How many kilometres will it travel in a week?
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About 9.4 million km
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About 18 million km
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About 52 million km
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About 0.94 million km
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