Mathamaniacs - Teaching Resources

Math

$Linear equations with brackets and fractions worksheet (with solutions)$

Linear equations with brackets and fractions worksheet (with solutions)

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A worksheet on solving equations involving a bracket with the number before the bracket being a fraction. Detailed solutions are included.

Completing the square and finding turning points worksheet (with solutions)

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Completing the square and finding turning points worksheet (with solutions)

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A worksheet on completing the square and finding turning points. Detailed solutions are included.

Angle Sum And Difference Trigonometric Identities (Tangent and Cotangent) Worksheet (With Solutions)

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Angle Sum And Difference Trigonometric Identities (Tangent and Cotangent) Worksheet (With Solutions)

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A worksheet on the angle sum and difference trigonometric identities for tangent and cotangent. The exercises require to use the identities to find the value of given expressions and to prove other trigonometric identities. Detailed solutions are included.

Double Angle Identities Worksheet (with solutions)

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Double Angle Identities Worksheet (with solutions)

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A worksheet on double angle identities for sine, cosine, tangent and cotangent. The exercises require to evaluate the exact values of such trigonometric numbers and prove identities involving them. Detailed solutions are included.

Rearranging formulae worksheet no 3 (with solutions)

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Rearranging formulae worksheet no 3 (with solutions)

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A worksheet on rearranging a formula to change the subject. Detailed solutions are included. Good for GCSE/IGCSE students. From https://mathamaniacs.com/

The chain rule worksheet (with solutions)

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The chain rule worksheet (with solutions)

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A worksheet on differentiating a function of a function using the chain rule. Detailed solutions are included. From https://mathamaniacs.com/

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Direct Proof Worksheet (with solutions)

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A worksheet on proving theorems using direct proof. Detailed solutions are included.

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Cosine Rule Worksheet (with solutions)

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A worksheet on the cosine rule. Detailed solutions are included.

Expanding brackets and factorising worksheet no 3 (with solutions)

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Expanding brackets and factorising worksheet no 3 (with solutions)

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A worksheet on expanding brackets and factorising expressions. Detailed solutions are provided.

Expanding perfect squares worksheet (with solutions)

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Expanding perfect squares worksheet (with solutions)

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A worksheet on expanding perfect squares (of sums and differences). Detailed solutions are provided. From https://mathamaniacs.com/

Indices-harder questions worksheet no 2 (with detailed solutions)

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Indices-harder questions worksheet no 2 (with detailed solutions)

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A worksheet with harder questions on laws of indices, powers and roots, zero, negative and fractional indices. Detailed solutions are included. Appropriate for GCSE/IGCSE students.

Integration: Power rule worksheet (with solutions)

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Integration: Power rule worksheet (with solutions)

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A worksheet on integrating using the power rule. Detailed solutions are included. Good for A level students. From https://mathamaniacs.com/

Indefinite integrals worksheet (with solutions)

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Indefinite integrals worksheet (with solutions)

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A worksheet on integrating functions involving powers, sums and differences. In some cases the expressions require to be simplified before integrating. Detailed solutions are provided.

Solving multi-step inequalities worksheet (with answers)

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Solving multi-step inequalities worksheet (with answers)

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A worksheet on solving multi-step inequalities. Solutions are included.

Solving cubic equations worksheet (with solutions)

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Solving cubic equations worksheet (with solutions)

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A worksheet on solving cubic equations using the factor theorem and long division of polynomials. Detailed solutions are included. From https://mathamaniacs.com/

Equations involving negative numbers worksheet no 2 (with solutions)

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Equations involving negative numbers worksheet no 2 (with solutions)

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A worksheet on solving linear equations involving negative numbers. Detailed solutions are provided. From https://mathamaniacs.com/

$Simplifying algebraic fractions worksheet no 4 (with detailed solutions)$

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Simplifying algebraic fractions worksheet no 4 (with detailed solutions)

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A worksheet about simplifying algebraic fractions by cancelling the common factors of numerator and denominator. It involves factorisation of trinomials using perfect squares and difference of two squares. Detailed solutions are provided. Good practise for GCSE/IGCSE students.

Inverse functions worksheet no 3 (with solutions)

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Inverse functions worksheet no 3 (with solutions)

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A worksheet on finding the inverse of a function. Detailed solutions are included. Good for GCSE/IGCSE students.

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Converting between the 24 hour and 12 hour clock worksheets (with solutions)

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Converting between the 24 hour and 12 hour clock worksheets (with solutions)

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3 Resources

Three worksheets on converting times between the 12-hour and the 24-hour clock. Solutions are included.

Equation of a straight line-parallel and perpendicular lines worksheet (with solutions)

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Equation of a straight line-parallel and perpendicular lines worksheet (with solutions)

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A worksheet on finding the equation of a line given a its gradient and a point on it and the equation passing through a point which is parallel/perpendicular to a given line. Detailed solutions are provided. Good for GCSE/IGCSE students. From https://mathamaniacs.com/