Drawing: Mixed Review on Curves and Tangents
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet reviews drawing tangents to curves, focusing on procedural skills, reasoning, and real-world applications. It includes a variety of question types to deepen understanding.
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Full preview • 12 questions
Drawing: Mixed Review on Curves and Tangents
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Draw the curve y = x^2 for x in the range -3 to 3. Then, construct and draw the tangent to the parabola at x = 1.
[3 marks]2.
Construct the graph of y = 2x + 3. Draw the tangent to this line at x = -2 and label it.
[3 marks]3.
Plot the curve y = (1/2)x^3, then draw the tangent to the curve at x = 2.
[3 marks]4.
Using the grid, draw the curve y = x^2 and construct the tangent at the point where x = -1.
[3 marks]5.
Construct a circle with center at (2,2) and radius 3. Draw the tangent line to the circle at the point (5,2).
[3 marks]6.
Draw the curve y = x^3 - 3x, then locate and draw the tangent at x = 0.
[3 marks]7.
Construct the graph of y = x^2 and draw the tangent to the curve at x = 3. Use the grid to help.
[4 marks]8.
Plot y = 3x - 4 on the grid. Draw the tangent to y = 3x - 4 at x = 0.
[2 marks]9.
Draw the curve y = x^2 + 2x + 1. Construct the tangent at the vertex of the parabola.
[3 marks]10.
Using the grid, draw the curve y = sin(x) for x from 0 to π/2. Construct the tangent at x = π/4.
[4 marks]11.
Identify the common mistake in drawing a tangent to y = x^2 at x=1 and explain how to correct it.
[2 marks]12.
Challenge: Draw the cubic curve y = x^3 - 3x, then construct the tangent line at x = 2 and find its equation.
[4 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