Grade 7 Calculus Practice Worksheet

Mathematics
General
8 questions
~16 mins
1 views0 downloads

About This Worksheet

This medium level calculus worksheet is designed for grade 7 to develop key mathematical skills. It includes 10 engaging problems covering essential concepts in calculus. Perfect for classroom practice, homework, or assessment preparation. This worksheet helps students build confidence and proficiency in mathematics through structured practice with clear solutions provided.

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Grade 7 Calculus Practice Worksheet

Subject: MathematicsGrade: General
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Grade 7 Calculus Practice Worksheet

Instructions: Read each question carefully. For multiple-choice questions, select the best answer from the options provided. For other questions, show your calculations clearly. Manage your time wisely.
A

Differentiation Basics

Questions about finding derivatives and understanding slopes of curves.
1.
What is the derivative of f(x) = 3x^2?
[2 marks]
A6x
B3x
C2x
D9x
2.
Find the derivative of f(x) = x^3 - 2x^2 + 4x - 7
[3 marks]
Af'(x) = 3x^2 - 2x + 4
Bf'(x) = 3x^2 - 4x + 4
Cf'(x) = 3x^2 - 2x + 7
Df'(x) = 3x^2 + 2x - 4
3.
Which option correctly shows the slope of the curve y = x^2 at x = 3?
[2 marks]
A9
B3
C12
D6
4.
The derivative of f(x) = 5x is:
[2 marks]
Ax
B0
CNone of these
D5
B

Applications of Derivatives

Questions about using derivatives to analyze curves and find maximum or minimum points.
1.
At what x-value does the function f(x) = x^2 - 4x + 3 have its minimum?
[2 marks]
Ax=0
Bx=2
Cx=4
Dx=-1
2.
Find the critical points of f(x) = x^3 - 3x^2 + 4
[3 marks]
Ax=0 and x=2
Bx=1 and x=3
Cx=0 and x=3
Dx=1 and x=2
C

Simple Integration

Basic questions about calculating the area under a curve using simple integration.
1.
What is the integral of f(x) = 2x?
[2 marks]
Ax^2/2 + C
B2x + C
Cx^2 + C
Dx + C
2.
Calculate the area under the curve y=3 between x=1 and x=4.
[2 marks]
A9
B12
C15
D27

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Details

Created
5/11/2025
Updated
12/31/2025
Type
worksheet