y is directly proportional to the square of x. When y = 24, x = 2. Find the value of y when x = 4.
Direct Proportion Equations

Quiz
•
Mathematics
•
12th Grade
•
Hard
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
6
96
24
2
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
H varies directly to the cube of c. When H = 40, c = 2. Find H when c = 5.
5
25
625
3
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
H varies directly to the cube of c. When H = 40, c = 2. Find c when H = 5000.
5
1000
10
2
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A pebble is thrown vertically upwards. It has an initial speed of 𝑢 metres per second. The pebble reaches a maximum height of ℎ metres, before falling vertically downwards. It is known that ℎ is directly proportional to 𝑢 2 . When the pebble is thrown with an initial speed of 10m/s it reaches a maximum height of 5m. Find the initial speed of the pebble if the maximum height reached is 16m.
10
0.05
320
17.89
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
C is directly proportional to the square root of y. When C = 12.8, y = 16. Calculate C when y = 400.
3.2
20
64
4
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
y is directly proportional to x. When y = 270, x = 60. Which of these shows the correct method to calculate the constant of proportionality (k)?
k = 270 x 60
k = 270 - 60
k = 60 / 270
k = 270 / 60
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
y is directly proportional to x. When y = 145, x = 15. What is the correct method for calculating the constant of proportionality (k)?
k = 145 x 15
k = 145 - 15
k = 145 / 15
k = 15 / 145
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