Lesson R13
R13 Equations and graphs for direct and inverse proportion Quiz: AQA Maths, Unit 3
20 questions
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Lesson R13, Equations and graphs for direct and inverse proportion: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 3: Ratio, proportion and rates of change, written with Revision Ninja.
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The 20 questions
-
Which equation represents direct proportion between y and x?
- y = 3x
- y = 3 + x
- y = x²
- y = 3/x
-
Which equation represents inverse proportion?
- y = 12/x
- y = 12x
- y = 12 + x
- y = 12x²
-
If y is directly proportional to x, which equation expresses this with constant k?
- y = k/x
- y = kx
- y = x²k
- y = x + k
-
Given y = 7/x, what is y when x = 0.5?
- 3.5
- 70
- 14
- 0.07
-
Given y = 2.5x, what value of x gives y = 35?
- 87.5
- 12.5
- 14
- 0.07
-
Which point lies on the graph of y = 4/x?
- (4, 4)
- (2, 8)
- (2, 2)
- (1, 2)
-
What is the equation of the direct proportion graph through the point (3, 12)?
- y = 4/x
- y = 4x
- y = x + 9
- y = 9x
-
A straight line passes through (0, 0) and (4, 10). Which equation describes it?
- y = 2.5 + x
- y = 2.5x
- y = 6x
- y = 0.4x
-
For the equation y = 6/x, what is the value of x when y = 2?
- 0.33
- 8
- 12
- 3
-
How does an inverse proportion graph behave in the first quadrant?
- Passes through origin
- Parallel to axis
- Crosses both axes
- Approaches both axes
-
For y = kx, x = 2 gives y = 5. What is y when x = 6?
- 17
- 3.33
- 12
- 15
-
On the direct proportion graph y = kx, what does the gradient equal?
- Zero
- Constant k
- Constant 1/k
- The y-intercept
-
A point on the graph of y = k/x is (5, 7). What is the value of k?
- 2/35
- 35
- 12
- 1.4
-
Why is y = 3x + 2 not a direct proportion relationship?
- Zero gradient
- Non-zero y-intercept
- Negative gradient
- Curved graph
-
(H) Given y = k/x² with y = 10 when x = 2, find y when x = 5.
- 25
- 0.4
- 1.6
- 4
-
(H) Which equation shows y directly proportional to the cube of x?
- y = 3kx²
- y = kx³
- y = kx + 3
- y = k³x
-
For y = 9/x, what is the value of y when x = −3?
- −27
- 3
- −3
- 27
-
A line passes through (0, 0) and (3, 4.5). Which is its equation?
- y = 4.5x
- y = 3x
- y = 1.5x
- y = 0.67x
-
An inverse proportion curve y = k/x passes through (4, 3). What is k?
- 0.75
- 12
- 1.33
- 7
-
In a table, y doubles every time x doubles. Which equation fits this pattern?
- y = kx²
- y = k/x
- y = k + x
- y = kx
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