Proportions Quiz
Questions: 16 · 10 minutes
1. What value of x makes x/14 = 9/21 a true proportion?
4
6
5
7
2. A paint mixture uses blue and white paint in a ratio of 2:3. Which mixture keeps the same proportion?
6 parts blue and 8 parts white
10 parts blue and 15 parts white
9 parts blue and 12 parts white
8 parts blue and 10 parts white
3. A student says 4/6 = 10/15 but checks it incorrectly by multiplying corresponding numerators and denominators. How should the proportion be checked?
Multiply 4 by 6 and 10 by 15; the products should match.
Multiply 4 by 15 and 6 by 10; both products equal 60.
Add 4 to 15 and 6 to 10; the sums should match.
Divide 15 by 4 and 10 by 6; the quotients should match.
4. Eighteen out of 24 students completed an assignment. What percentage of the students completed it?
75%
72%
65%
80%
5. A car travels 150 miles in 3 hours at a constant speed. How far will it travel in 4.5 hours at that speed?
200 miles
275 miles
250 miles
225 miles
6. Solve the proportion 3/5 = x/20.
x = 10
x = 12
x = 15
x = 18
7. Which ratio is equivalent to 6:15?
14:35
12:25
18:40
24:55
8. At the same time of day, a 1.8-meter person casts a 1.2-meter shadow. A nearby tree casts an 8-meter shadow. Assuming the sun angle is the same, how tall is the tree?
12 meters
10 meters
10.8 meters
9.6 meters
9. Which table describes a proportional relationship between x and y?
x: 1, 2, 4; y: 3, 5, 9
x: 1, 2, 4; y: 4, 7, 13
x: 1, 2, 4; y: 3, 6, 12
x: 1, 2, 4; y: 2, 5, 8
10. A map scale shows that 1 centimeter represents 8 kilometers. Two towns are 3.5 centimeters apart on the map. What is their actual distance?
24 kilometers
32 kilometers
30 kilometers
28 kilometers
11. If a/b = c/d and b and d are nonzero, which statement must be true?
The sum of a and d equals the sum of b and c.
The product of a and c equals the product of b and d.
The product of a and d equals the product of b and c.
The quotient of a divided by d equals the quotient of b divided by c.
12. Three identical shirts cost $45 in total. If the price per shirt stays constant and there are no taxes or discounts, how much do seven shirts cost?
$90
$95
$115
$105
13. A recipe uses 2 cups of rice for 5 servings. At the same rate, how much rice is needed for 15 servings?
4 cups
5 cups
6 cups
7.5 cups
14. Which equation represents a true proportion?
3/5 = 12/20
4/7 = 12/28
5/8 = 15/20
6/9 = 18/24
15. Which situation is least appropriately modeled as a direct proportional relationship?
The amount of flour needed and the number of identical batches baked
A circle's circumference and its diameter
Distance traveled and time elapsed while moving at a constant speed
The number of workers assigned to one fixed job and the time needed to finish it
16. Which equation would graph as a proportional relationship between x and y?
y = 4x + 1
y = x²
y = 4x
y = 4/x