A collection of eight worksheets on integers based on the GCSE 9-1 specification. The following topics are included: Place value-Ordering numbers: ordering sequences of five numbers with up to 6 digits Operations with directed numbers: performing the four operations with directed numbers Ordering and comparing integers: putting integers in ascending order and comparing integers using the symbols < and > Order of operations in calculations with positive and negative numbers: evaluating expressions involving the four operations between positive positive and negative numbers (addition, subtraction, multiplication, division and exponents) Identifying Prime Numbers: finding the factors of given numbers, identifying the numbers that are prime and making general conclusions about prime numbers Prime factors of an integer using division: expressing integers as a product of their prime factors using repeated division Factors and multiples: identifying the factors and the multiples of given numbers Highest common factor, lowest common multiple and product of primes: evaluating the highest common factor and the lowest common multiple of numbers after expressing them as a product of primes Detailed solutions are included.

Three worksheets on finding the prime factorisation of numbers using repeated division by their prime factors and using the prime factorisation of two numbers to obtain their highest common factor and their lowest common multiple. Detailed solutions are included.From https://mathamaniacs.com/

Three worksheets on differentiation rules: power rule, constant rule and sum rule. Good for GCSE/IGCSE students. From https://mathamaniacs.com/

Three worksheets on solving simple and harder quadratic equations using factorisation. Detailed solutions are included. From https://mathamaniacs.com/

Three worksheets on multiplying numbers by 25 and 15 and dividing numbers by 25, 20 and 16 mentally. Detailed solutions are included.

A collection of four worksheets on differentiation. The questions require the use of basic rules for functions that are powers of a variable or sums of powers of a variable and application of differentiation to problems on kinematics. Detailed solutions are included.

Three worksheets on quadratic factorisation of expressions where the square has coefficient other than 1. Solutions are included.

Twelve worksheets on quadratic factorisation including expressions with the coefficient of the square equal to 1 and greater than 1, perfect squares and difference of two squares. Solutions are included. Good for GCSE/IGCSE students.

Four worksheets on solving linear equations by expanding brackets and simplifying algebraic expressions. Detailed 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.

Five worksheets for Year 9 students on the following topics: Algebra Expanding brackets Expanding brackets and factorising Expanding the product of two brackets Factorising expressions containing powers Detailed solutions are included.