Zero: Challenge & Extension
Mathematics
Grade 8
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and applying the concept of Zero in gradients and slopes from graphs, including practice, reasoning, and extension questions for Grade 8 students.
Worksheet Preview
Full preview • 13 questions
Zero: Challenge & Extension
Subject: MathematicsGrade: Grade 8
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the gradient of a horizontal line on the graph which passes through points (2, 5) and (7, 5).
[2 marks]2.
Determine the slope of a line passing through points (-3, 4) and (2, 4).
[2 marks]3.
Plot the graph of y=0 and describe the slope of this line.
[3 marks]4.
A road runs straight and level from point A to point B. The elevation remains constant. What is the gradient of the road?
[3 marks]5.
Explain why the slope of a perfectly horizontal line is zero. Provide a brief reasoning.
[3 marks]6.
Construct a line on the graph with a zero slope that passes through the point (4, -2).
[3 marks]7.
Identify the error in the following calculation: The slope between (1, 3) and (1, 7) is calculated as (7 - 3)/(1 - 1) = 4/0. Why is this incorrect?
[3 marks]8.
Given the line y = 5, what is its gradient? Justify your answer.
[2 marks]9.
A cyclist travels along a flat, straight road for 10 km. The elevation remains constant throughout. What is the gradient of the cyclist's path?
[3 marks]10.
A graph shows a line with points at (0, 8) and (5, 8). What is the slope of this line? Show your working.
[2 marks]11.
Identify a common mistake made when calculating the slope of a horizontal line and how to avoid it.
[3 marks]12.
Challenge Question: Consider a line with a slope of zero that extends infinitely in both directions. How does this relate to the concept of a constant function? Explain.
[4 marks]13.
Find the slope of the line passing through points (3, 2) and (3, -4). What is unique about this line?
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet