Comprehensive GCSE Higher Maths Formula Sheet
This page presents a wide array of GCSE higher maths formulas essential for success in mathematics examinations. The formulas cover various topics, including geometry, trigonometry, algebra, and probability.
Highlight: The formula sheet includes key equations for area and volume calculations, which are crucial for solving geometry problems in the GCSE Maths exam.
The page begins with area formulas, notably the area of a trapezium: 1/2a+bh. It then moves on to volume calculations, providing the formula for the volume of a prism: area of cross-section × length.
Example: A practical application of the volume formula is demonstrated with a prism measuring 20cm × 15cm, resulting in a volume of 300cm³.
Circular geometry is addressed with formulas for the area πr2 and circumference 2πrorπd of a circle. The sheet also includes the quadratic formula for solving equations in the form ax² + bx + c = 0.
Definition: The quadratic formula, x = −b±√(b2−4ac) / 2a, is used to find the roots of a quadratic equation.
Trigonometric ratios sine,cosine,tangent are presented, along with the Pythagorean theorem a2+b2=c2 for right-angled triangles. The sine and cosine rules for non-right-angled triangles are also provided.
Vocabulary: Trigonometry involves the study of relationships between the sides and angles of triangles.
The page concludes with probability formulas, including those for compound events: PAorB = PA + PB - PAandB, and conditional probability: PAandB = PAgivenB × PB.
Highlight: These probability formulas GCSE Maths are crucial for solving complex probability problems in the exam.