Positive: Mixed Review

Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet reviewing the concept of positive gradients from graphs, suitable for Year 9 students. Includes procedural questions, problem-solving, real-world applications, and extension challenges.

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Full preview • 11 questions

Positive: Mixed Review

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 a line passing through the points (2, 3) and (5, 6).
[2 marks]
2.
Plot the graph of y=2x + 1. Is the gradient positive or negative?
[2 marks]
3.
A line passes through (1, 4) and (4, 7). Determine if the gradient is positive, negative, or zero.
[2 marks]
4.
Construct a line with a gradient of 3 and passing through the point (2, 5).
[3 marks]
5.
On the graph grid, draw a line with a positive gradient of 2 passing through the origin.
[3 marks]
6.
A car accelerates uphill, and its distance-time graph shows a positive slope. Explain what this indicates about the car's movement.
[3 marks]
7.
Given the points (−1, 2) and (3, 8), calculate the gradient and state whether it is positive or negative.
[2 marks]
8.
A line has a gradient of 0.5. If it passes through (4, y), what is the value of y?
[2 marks]
9.
Identify the common mistake made when calculating the gradient between two points and explain how to avoid it.
[3 marks]
10.
Challenge: Construct a line with a gradient of 4 passing through the points (−1, 3). Write the equation of this line.
[3 marks]
11.
A graph shows a line with a positive gradient. If the line passes through (0, 2) and (3, y), find y.
[2 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet