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SGrade/A-Level Mathematics/Mechanics — Core Methods

A-Level Maths · 20 questions

Mechanics — Core Methods Practice Questions

Mechanics covers Kinematics, forces and Newton's laws, moments, projectiles. These concepts appear in both pure paper 1 and pure paper 2, and form the foundation for all applied mathematics questions.

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Sample questions

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Question 1Foundation

Find dy/dx when y = 5x^3 - 2x + 7.

A15x^2 - 2x
B15x^2 - 2
C5x^2 - 2
D15x^3 - 2

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Tests fundamental polynomial differentiation skills essential for mechanics applications like velocity and acceleration

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Question 2Foundation

Using the definition of differentiation from first principles, what is the derivative of f(x) = x^2?

A2x
Bx^2
C2x + h
Dx

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Tests whether students can apply the fundamental limit definition rather than just memorizing power rule shortcuts

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Question 3Foundation

Using the chain rule, find the derivative of y = (3x + 1)^4.

A4(3x + 1)^3
B12(3x + 1)^3
C12(3x + 1)^4
D3(3x + 1)^3

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Tests fundamental chain rule application on polynomial composite functions - essential skill for A-Level mechanics kinematics

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+ 17 more Mechanics — Core Methods questions in this set

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More A-Level Maths topics

Pure — Algebra and Functions — Core MethodsPure — Calculus — Core MethodsPure — Trigonometry — Core MethodsPure — Vectors and Proof — Core MethodsStatistics — Core Methods
← View all A-Level Mathematics topics

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