Fully comprehensive math worksheets with detailed solutions and other math resources for students of all abilities and levels (KS2, KS3, SATs, 11+, GCSEs, iGCSEs, A-Levels, Scottish Highers and Advanced Highers, International Baccalaureate, BTECs or even university or college degree level).
Fully comprehensive math worksheets with detailed solutions and other math resources for students of all abilities and levels (KS2, KS3, SATs, 11+, GCSEs, iGCSEs, A-Levels, Scottish Highers and Advanced Highers, International Baccalaureate, BTECs or even university or college degree level).
An introductory worksheet on the trigonometric ratios sine, cosine and tangent. The exercises require to evaluate these ratios for an angle in a given triangle, to identify the trigonometric ratio that corresponds to a given ratio for a given triangle, to use a calculator to evaluate the trigonometric ratio of a given angle or the angle given one of its trigonometric ratios and to associate the sine or cosine of an angle to the cosine or sine of its complementary angle. Detailed solutions are included.
Three worksheets on solving simultaneous equations algebraically using the methods of substitution and elimination or graphically. The exercise require to solve simple and more complicated pairs of equations simultaneously and use simultaneous equations to solve word problems. Detailed solutions are included.
A worksheet on factorising expressions be extracting a common factor, by grouping, by using the quadratic formula or algebraic identities. The exercises also require to simplify algebraic fractions, composite algebraic fractions or expressions involving multiplication or division between algebraic fractions and solve quadratic equations or equations with algebraic fractions. Detailed solutions are included.
A worksheet on factorising quadratic expressions in which the coefficient of the leading term is one, the coefficient of x is less than zero and the constant term is greater than zero. Solutions are provided.
A collection of four worksheets on integers. A worksheet on putting integers in ascending order and comparing integers using the symbols < and >, a worksheet on adding and subtracting positive and negative numbers, a worksheet on multiplying and dividing positive and negative integers and a worksheet on all four operations with integers. Solutions are included.
A collection of three worksheets: one on adding fractions, one on subtracting fractions and one on adding and subtracting fractions. Solutions are included.
A collection of three worksheets introducing students to algebra.
The first is on algebraic manipulation, including: ab in place of a times b, 3y in place of y + y + y and 3 times y, a squared in place of a times a, a cubed in place of a times a times a, a squared b in place of a times a times b, a/b
in place of a divided by b , coefficients written as fractions rather than as decimals and brackets. The second is on basic algebra: using algebra notation, collecting like terms, expanding brackets and using index notation. The third is on expanding single and double brackets and factorising algebraic expressions.
Detailed solutions are included.
A collection of three worksheets introducing students to calculus.
The first two are on differentiating using the basic rules for functions that are powers of a variable or sums of powers of a variable.
The third is on applications of differentiation and includes word problems.
Detailed solutions are included.
A collection of three worksheets on solving quadratic equations.
The first is on solving quadratic equations by factorising.
The second is on solving quadratic equations using the quadratic formula.
The third is on completing the square and solving quadratic equations by completing the square.
Detailed solutions are included.
