Positive: Real-world Applications of Gradient
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of positive gradients (slopes) through real-world applications, procedural questions, and challenging problems.
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Positive: Real-world Applications of Gradient
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the gradient of a line passing through the points (2, 3) and (5, 6).
[2 marks]2.
Determine whether the line drawn on a graph with points (1, 2) and (4, 5) has a positive gradient.
[2 marks]3.
Plot the graph of y = 2x. Describe the gradient of this line.
[3 marks]4.
Construct a line on your grid with a positive gradient of 3. Choose appropriate points and draw the line.
[3 marks]5.
A car travels along a straight road. Its distance from a starting point increases from 10 km to 40 km over 2 hours. Find the gradient of the distance-time graph.
[3 marks]6.
A line on a graph goes through (0, 0) and (4, 8). Calculate its gradient.
[2 marks]7.
In a diagram, a line with points (1, 2) and (3, 6) is drawn. What is the gradient? Is it positive?
[2 marks]8.
A cyclist's speed increases steadily, represented by a line with a positive gradient on a distance-time graph. Explain what a positive gradient indicates in this context.
[4 marks]9.
Given the points (2, 5) and (6, 9), find the gradient. Is it positive? Show your working.
[3 marks]10.
A factory produces a certain product. The production rate increases from 50 units/day to 110 units/day over a period of 4 days. Calculate the gradient of the production rate.
[3 marks]11.
A graph shows a line passing through (0, 0) and (3, 9). What is the gradient? Is it positive or negative?
[2 marks]12.
Identify and correct the mistake: A student claims that a line with points (1, 2) and (3, 4) has a negative gradient.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet