Negative: Fluency & Practice
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding and calculating negative gradients (slopes) from graphs, designed for GCSE Higher students to develop procedural mastery and problem-solving skills.
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Full preview • 11 questions
Negative: Fluency & Practice
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 the line passing through the points (2, 5) and (6, 1).
[2 marks]2.
Determine the gradient of a line that decreases from 4 to 0 over a horizontal distance of 8 units.
[2 marks]3.
A graph shows a line with a gradient of -2.5. If the line passes through (3, y), what is the y-coordinate?
[3 marks]4.
Plot the graph of y = -3x + 4 on the grid provided.
[3 marks]5.
Construct a line on the grid with a gradient of -1/2 that passes through the point (4, 2).
[3 marks]6.
A line graph shows a decreasing trend with a gradient of -3. If the line crosses the y-axis at 6, write its equation.
[2 marks]7.
A line with a gradient of -2 passes through (-1, y). Find y.
[2 marks]8.
Construct a line with a negative gradient that passes through the points (0, 3) and (4, -1).
[3 marks]9.
In a real-world scenario, a car is travelling downhill. The graph of height vs. time shows a slope of -0.8. Explain what this negative gradient indicates about the car's movement.
[3 marks]10.
Identify and correct the mistake in this statement: 'A line with a negative gradient always slopes downward from left to right, and its calculation is always positive.'
[3 marks]11.
Challenge: The gradient of a line is -5/3. If the line passes through (6, y), find y.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet