Mathematical Scaling and Proportional Relationships Quiz

Explore proportionality with these 12 quiz questions covering direct variation, similar figures, geometric sequences, and more!

#1

Which of the following is an example of direct variation?

y = 2x + 3
y = 3x^2
y = 5/x
y = 4x
#2

If y is inversely proportional to x and y = 12 when x = 4, what is the value of y when x = 8?

6
9
18
24
#3

If a rectangle has sides in the ratio 3:4, and the perimeter is 28 units, what is the length of the longer side?

7
8
10
12
#4

If the scale factor of two similar triangles is 1:3, and the area of the smaller triangle is 12 square units, what is the area of the larger triangle?

9
12
27
36
#5

If the length of a rectangle is doubled, and the width is tripled, how does the area of the rectangle change?

It becomes four times the original
It becomes six times the original
It becomes double the original
It becomes triple the original
#6

In a right-angled triangle, if the lengths of the legs are 5 units and 12 units, what is the length of the hypotenuse?

10
13
15
17
#7

If the scale factor between two similar rectangles is 1:2, and the area of the smaller rectangle is 36 square units, what is the area of the larger rectangle?

18
36
72
144
#8

The volume of a cube is 125 cubic units. What is the length of each side?

3
5
7
9
#9

If the price of 3 books is $24, what is the cost of 6 books if the prices are in direct proportion?

$12
$18
$24
$36
#10

The speed of a car is directly proportional to the distance it travels. If a car travels 120 miles in 2 hours, how far will it travel in 5 hours?

200 miles
250 miles
300 miles
350 miles
#11

If the base of a rectangle is increased by 20% and the height is decreased by 10%, how does the area of the rectangle change?

It increases by 10%
It increases by 20%
It decreases by 10%
It remains unchanged
#12

If a cylindrical tank has a radius of 4 meters and a height of 6 meters, what is its volume?

48π cubic meters
64π cubic meters
96π cubic meters
128π cubic meters

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