Positive: Problem Solving & Reasoning
Mathematics
Year 9
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding and calculating positive gradients (slopes) from graphs through problem solving, reasoning, and real-world applications for Year 9 students.
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Positive: Problem Solving & Reasoning
Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet
Grade Year 9
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, 3) and (5, 6).
[2 marks]2.
Determine whether the gradient of the line connecting (1, 2) and (4, 5) is positive, negative, or zero.
[1 mark]3.
Plot a line on the grid with a gradient of 2. Use points (0, 0).
[2 marks]4.
A line passes through points (3, 4) and (7, 12). What is its gradient? Show your working.
[3 marks]5.
A graph shows a straight line with a positive gradient. If the line passes through (1, 2) and (4, 8), what is the gradient?
[2 marks]6.
A car travels along a road represented by a graph with a positive slope. If at 2 hours the car has traveled 30 km and at 5 hours it has traveled 90 km, what is the average gradient (speed) during this time?
[3 marks]7.
Construct a triangle with a base of 4 units and a height of 3 units on the grid. What is the gradient of the hypotenuse?
[3 marks]8.
A line has a gradient of . If it passes through (2, 5), find its equation in the form y = mx + c.
[4 marks]9.
A graph shows a straight line with a positive gradient. The line passes through (0, 1) and (3, 7). What is the gradient?
[2 marks]10.
Identify and correct the mistake in this statement: 'A line with a positive gradient has a slope of and passes through (2, 4) and (5, 13).'
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet