A worksheet 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. Good introduction to algebra. Solutions are included.

A worksheet on proving statements using proof by contradiction. Detailed solutions are included.

A short introductory worksheet on congruent triangles. The exercises require to identify the corresponding equal angles or sides of some given congruent triangles. Solutions are included.

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. From: https://placeformath.blogspot.com/p/worksheet-shop.html

A worksheet on the basic rules of integration (powers, trigonometric functions, ln and exponential functions). Solutions are included.

A worksheet on solving quadratic equations by using the method of completing the square. Detailed solutions are included.

A worksheet on finding the highest common factor and the lowest common multiple of given pairs of numbers and solving word problems using the highest common factor and the lowest common multiple. Detailed solutions are included.

A worksheet on comparing integers using the symbols < and >. Solutions are included.

A worksheet on finding the multiplicative inverse of a given number (integer, fraction or decimal). Solutions are included.

A worksheet on the sum of the terms of an arithmetic sequence or arithmetic series. The exercises require to find the sum of a number of terms of an arithmetic sequence given the first terms and the common difference, the first few terms of the sequence, two of the terms of the sequence (by solving a system of simultaneous equations), the first and the last term or the first term and the sum of two other terms. Detailed solutions are included.

A worksheet on ratio and proportion and percentages. The exercises require to solve given proportions (easy and harder), solve word problems involving ratios, solve word problems where an amount is divided in a given ratio, find the percentage of an amount and work with percentage increases, percentage decreases and reverse percentage. Detailed solutions are included.

A worksheet on multiplying and dividing mixed numbers by mixed numbers, mixed numbers by fractions and vice versa, mixed numbers by whole numbers and vice versa and fractions by whole numbers and vice versa. Detailed solutions are included.

A worksheet on finding the domain or the range of a given function. Solutions are included.