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Find the constant of proportionality from a graph

7th grade (Year 8 in England) · 16 questions · Common Core: 7.RP.A.2.B, 7.RP.A.2.D · England: KS3 Ratio, proportion and rates of change

Name

Date

Score/ 16

Question 1
A proportional graph passes through (2, 5). What is k? Give a fraction in simplest form.
Answer(as a fraction)
Question 2
The line passes through (0, 0) and (2, 6). What is the constant of proportionality?
Answer
3
Question 3
On a proportional graph of cost (y) against kilograms (x), the point (1, 4) is marked. What does this point tell you?
- A. The graph starts at 4
- B. Every kg costs 1 more than the last
- C. 1 kg costs 4
- D. 4 kg cost 1
Question 4
A proportional graph passes through (3, 2). What is k? Give a fraction in simplest form.
Answer(as a fraction)
Question 5
The line passes through (0, 0) and (1, 3). What is the constant of proportionality?
Answer
6
Question 6
On a proportional graph of cost (y) against kilograms (x), the point (1, 5) is marked. What does this point tell you?
- A. The graph starts at 5
- B. 1 kg costs 5
- C. 5 kg cost 1
- D. Every kg costs 1 more than the last
Question 7
A proportional graph passes through (2, 1). What is k? Give a fraction in simplest form.
Answer(as a fraction)
Question 8
The line passes through (0, 0) and (3, 15). What is the constant of proportionality?
Answer
9
Question 9
On a proportional graph of cost (y) against kilograms (x), the point (1, 2) is marked. What does this point tell you?
- A. The graph starts at 2
- B. 1 kg costs 2
- C. 2 kg cost 1
- D. Every kg costs 1 more than the last
Question 10
A proportional graph passes through (2, 1). What is k? Give a fraction in simplest form.
Answer(as a fraction)
Question 11
The line passes through (0, 0) and (1, 3). What is the constant of proportionality?
Answer
12
Question 12
On a proportional graph of cost (y) against kilograms (x), the point (1, 8) is marked. What does this point tell you?
- A. The graph starts at 8
- B. 8 kg cost 1
- C. 1 kg costs 8
- D. Every kg costs 1 more than the last
Question 13
A proportional graph passes through (3, 4). What is k? Give a fraction in simplest form.
Answer(as a fraction)
Question 14
The line passes through (0, 0) and (1, 2). What is the constant of proportionality?
Answer
15
Question 15
On a proportional graph of cost (y) against kilograms (x), the point (1, 8) is marked. What does this point tell you?
- A. 1 kg costs 8
- B. The graph starts at 8
- C. Every kg costs 1 more than the last
- D. 8 kg cost 1
Question 16
A proportional graph passes through (2, 5). What is k? Give a fraction in simplest form.
Answer(as a fraction)

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