Ratio, Proportion and Rates of Change in Algebra Quiz
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5 questions, one answer each
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1. On a distance–time graph, what does the gradient represent?
- A. A. Acceleration
- B. B. Time
- C. C. Speed
- D. D. Distance
2. Which graph shape represents direct proportion?
- A. A. A curve approaching the axes
- B. B. A straight line through the origin
- C. C. A parabola
- D. D. A horizontal line
3. How do you find the instantaneous rate of change at a specific point on a curve?
- A. A. Gradient of a chord
- B. B. Gradient of a tangent at that point
- C. C. Area under the curve
- D. D. The y-intercept
4. A cyclist's speed–time graph shows a straight decreasing line for 5 seconds. What does the area under this section represent?
- A. A. The cyclist's acceleration
- B. B. The distance travelled in those 5 seconds
- C. C. The average speed only
- D. D. The final speed
5. What is the key difference between a chord and a tangent when finding rates of change on a curve?
- A. A. A chord touches one point, a tangent touches two
- B. B. A chord gives average rate of change between two points; a tangent gives instantaneous rate at one point
- C. C. They are the same thing
- D. D. A tangent can only be used on straight lines