25 free algebra resources for 12th Grade: 21 worksheets, 4 study guides. Answers included.
Patterns, expressions, equations, functions and graphs. In 12th Grade, Calculus, probability distributions and financial math feature in advanced courses; English demands polished essays under time pressure.
Students will practice: finding stationary points by solving f′(x) = 0; classifying stationary points with the second derivative or a sign table; finding points of inflection and intervals where a function is increasing or decreasing; setting up and solving optimization problems, including justifying the maximum or minimum; finding the constant k in N = N₀eᵏᵗ from two data points; predicting a quantity at a later time and finding the time to reach a given value; calculating half-life, doubling time and the rate of change dN/dt = kN; converting between the forms N = N₀aᵗ and N = N₀eᵏᵗ.
Printable practice with an answer sheet.
A senior math worksheet on the derivatives of eˣ, ln x, sin x, cos x and tan x, combined with the chain, product and quotient rules, then…
A senior math worksheet applying geometric series: nth terms and sums, how many terms are needed to pass a target, limiting sums and…
A senior math worksheet on calculus for motion along a line: finding velocity and acceleration by differentiating displacement, deciding…
Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. Builds confidence with the core skill…
Differentiate polynomial functions using the power rule. Builds confidence with the core skill before adding complexity. This 12th Grade…
Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. Builds confidence with…
Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. Builds confidence with the core…
Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. Expected-level practice for this…
Differentiate polynomial functions using the power rule. Expected-level practice for this grade. This 12th Grade worksheet has 10…
Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. Expected-level practice…
Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. Expected-level practice for…
Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. A challenge set for students ready to…
Differentiate polynomial functions using the power rule. A challenge set for students ready to stretch further. This 12th Grade worksheet…
Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. A challenge set for…
Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. A challenge set for students…
Differentiate polynomial functions using the power rule. A challenge set for students ready to stretch further. This 12th Grade worksheet…
Find indefinite integrals of polynomials and evaluate simple definite integrals. Builds confidence with the core skill before adding…
Find indefinite integrals of polynomials and evaluate simple definite integrals. Expected-level practice for this grade. This 12th Grade…
Find indefinite integrals of polynomials and evaluate simple definite integrals. A challenge set for students ready to stretch further.…
Clear explanations, examples and tips.
A senior study guide to using the first and second derivatives to find and classify stationary points and points of inflection, then…
A senior study guide to the model N = N₀eᵏᵗ: finding k from data, predicting future values, half-life and doubling time, the rate of…
A senior study guide to definite integrals and area: the standard integrals, the fundamental theorem of calculus, areas below the x-axis,…
Introduces integration as the reverse of differentiation, sets out the power rule for integrating, explains the constant of integration,…
Step-by-step solutions to model the method.
Ten exam-style calculus questions covering differentiation (product, quotient and chain rules with exponentials, logarithms and…
Ten exam-style questions on functions and their graphs: function notation, domain and range, transformations of points, composite and…
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Patterns, expressions, equations, functions and graphs. At 12th Grade, our resources focus on: finding stationary points by solving f′(x) = 0; classifying stationary points with the second derivative or a sign table; finding points of inflection and intervals where a function is increasing or decreasing; setting up and solving optimization problems, including justifying the maximum or minimum.
Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.
Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.
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