Drawing: Real-world Applications in Engineering
Mathematics
Year 9
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on drawing tangents to curves with real-world engineering applications, enhancing procedural skills and reasoning.
Topics covered:
Worksheet Preview
Full preview • 10 questions
Drawing: Real-world Applications in Engineering
Subject: MathematicsGrade: Year 9
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Construct the tangent to the parabola y = x^2 at the point where x = 2. Draw the tangent accurately on the grid.
[3 marks]2.
Using the curve y = 3x + 1, draw the tangent line at x = 1 and measure its slope.
[3 marks]3.
Plot the graph of y = 2x and draw a tangent to the line at x = 3. Show your work.
[3 marks]4.
Construct a tangent to the cubic y = x^3 at the point where x=1. Draw on the grid and label the tangent.
[3 marks]5.
Draw the tangent line to the curve y = x^2 + 4x at x= -2 and calculate its slope.
[3 marks]6.
In an engineering context, a bridge supports a curve y = 2x^2. Draw the tangent line at x=3 and explain how this tangent could help assess the stress on the bridge.
[4 marks]7.
Construct the tangent to y = x^3 - 6x at x=2. Show all your steps and mark the tangent clearly.
[4 marks]8.
Using y = 4x + 2, draw the tangent line at x = 0, and describe how this tangent could be used in designing a ramp slope for an engineering project.
[4 marks]9.
Challenge: Construct the tangent to the curve y = x^4 at x=1 and at x=2 on the same grid. Compare the slopes and discuss how the tangent's steepness relates to the curve's shape.
[4 marks]10.
Identify and correct the mistake in the following tangent construction: The student drew the tangent to y=x^2 at x=3 but marked the wrong point. Explain how to fix this mistake.
[2 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