Loading...
36 resources.
Quick tests to check whether a number is divisible by 2 through 12, with worked examples.
Common unit conversions for physics and chemistry: length, mass, time, energy, and SI prefixes.
Practice questions on adding fractions and mixed numbers, with worked solutions.
What percentage means, how to compute a combined percentage across subjects, with a worked example.
The Pythagorean theorem explained, with a worked real-world distance example.
What a quadratic equation is, solving by completing the square, the quadratic formula, and a real-life example.
Sine, cosine, tangent and their reciprocals, standard angle values, and the core trigonometric identities.
Finding HCF using Euclid's division algorithm and prime factorization, plus verifying LCM x HCF = product of two numbers, with worked examples.
How the zeroes of a quadratic polynomial relate to its coefficients, plus building a polynomial from a given sum and product of zeroes.
Worked examples for checking whether an equation is quadratic, solving by factorization or completing the square, and using the discriminant.
Worked examples finding trigonometric ratios, evaluating standard-angle expressions, proving identities, and using co-function identities.
Proving a number is irrational by contradiction, and telling whether a fraction has a terminating or repeating decimal expansion, with worked examples.
Simplifying and rationalizing expressions with square roots, with worked examples including a telescoping sum.
Dividing one polynomial by another to find a quotient and remainder, and using that to find missing zeroes, with worked examples.
Using the Remainder Theorem to find a remainder without dividing, and factoring with the sum/difference-of-cubes identities, with worked examples.
What makes a sequence an arithmetic progression, and how to tell whether a real-world situation forms one, with worked examples.
What probability measures, independent vs dependent events, and conditional probability, with worked card, dice, and survey examples.
What a logarithm is, common vs natural vs binary logarithms, and the core logarithm rules, with worked examples.
What a ratio is and how to simplify one to its lowest terms, with a worked real-world example.
How to check whether four numbers are in proportion, and how to solve for a missing term, with worked examples.
How to calculate profit and loss percent, and work backwards from a selling price or discount to find the cost price, with worked examples.
How to solve a one-variable linear equation, including fractional coefficients, with worked examples translating word problems into equations.
The differences between a line segment, a ray, and a line, and what makes points or lines collinear or concurrent.
Turning a word problem into a pair of linear equations, and checking whether two lines intersect, are parallel, or coincide by comparing coefficient ratios.
Solving a pair of linear equations by substitution and by elimination, including recognizing when a system has infinitely many solutions.
The cross-multiplication formula for solving a pair of linear equations, and reducing an equation that isn't linear yet into one that is, with worked examples.
Translating age and money word problems into a pair of linear equations and solving them, including a classic problem with two valid cases.
The simple interest and compound interest formulas, why compound interest grows faster, and worked examples for both.
The core rules for combining and simplifying exponents, including negative exponents, with worked examples.
The formula for counting how many divisors a number has from its prime factorization, with worked examples.
Union, intersection, and the inclusion-exclusion principle for counting overlapping groups, with a worked example.
Area and perimeter formulas for rectangles, squares, circles, sectors, triangles, and regular pentagons, including Heron's formula, with a worked example.
Surface area and volume formulas for cuboids, cubes, spheres, cylinders, cones, and frustums of a cone, with a worked example.
What a radian actually measures, the standard-angle conversion table, and converting between degrees and radians, with worked examples.
What makes an expression a polynomial, the monomial/binomial/trinomial distinction, and how to find the degree of a polynomial in one or more variables.
What a prime number is, why 0 and 1 are neither prime nor composite, and what twin primes are, with a worked example checking a number for primality.