📚 Top 20 GCSE Maths Formulae You Simply Can’t Afford to Forget 📚
🚀 Empowering Students 🚀
Are you a student preparing for your GCSE Maths exams? 📝 Fear not! We’ve compiled a list of essential maths formulae that will help you ace your exams and boost your academic success 📈. Here are the top 20 formulae you must memorize:
1. Quadratic Equation (📈 Parabolas and Quadratic Functions): *x* = -_b ± √(_b² – 4ac) / 2a
2. BODMAS (📊 Order of Operations): Brackets first, Orders (exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right)
3. Pythagorean Theorem (ometery): In a right-angled triangle, _a² + b² = c²_
4. Trigonometry Identities (🔄 Trigonometric Functions): sin²(x) + cos²(x) = 1, tan(x) = sin(x) / cos(x), cosec²(x) = 1 + cot²(x), sec²(x) = 1 + tan²(x)
5. BIDMAS for Indices (🧮 Indices and Exponents): Brackets first, Indices, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)
6. Percentage Calculations (💰 Money and Ratios): _P% of Q_ = _P/100 × Q_, _Q × P%_ = _Q × (P/100)_, _Q ÷ P%_ = _Q ÷ (100 + P%)_, _Q × (P% – Q%)_ = _Q × P% – Q × Q%_
7. Simple Interest (❓ Finance): _SI_ = _P × R × T_ / 100
8. Complex Fractions (🧮 Fractions): _(a/b)/(c/d)_ = _ad / bc_
9. Equations (📈 Algebra): _ax² + bx + c = 0_
10. Graphs (📈 Coordinate Systems): Find the coordinates of the x-intercept, y-intercept, and the gradient of a line
11. Probability (📊 Statistics): _P(A) = n(A) / n(S)_, where _n(A)_ is the number of elements in set A and _n(S)_ is the total number of elements in the sample space S
12. Mean, Median, and Mode (📊 Statistics): Mean as the average, Median as the middle number when data is ordered, Mode as the number that appears most frequently
13. Factorials (📊 Permutations and Combinations): _n!_ = _n × (n – 1) × (n – 2) × … × 1_
14. Logarithms (🧮 Exponential Functions): _y = a⁹_, where _logₐ(y) = x_
15. functions (📈 Algebra): _y = f(x)_
16. Derivatives (📈 Calculus): _dy/dx = (f(x + h) – f(x)) / h_ (as _h_ approaches 0)
17. Integrals (📈 Calculus): _∫ f(x) dx_
18. Differential Equations (📈 Calculus): _dy/dx = f(x)_
19. Matrices (📊 Linear Algebra): _A × B_ for matrix multiplication
20. Vectors (📊 Linear Algebra): _a · b_ for dot product, _|a|_ for magnitude of a vector
🚀 Empowering Parents 🚀
As a parent, you can support your child’s academic success by reinforcing the importance of studying and providing a conducive learning environment. Encourage them to practice these formulae regularly and seek assistance from tutors if needed. Online tutoring 🌐 can be a great resource for targeted support.
🚀 Empowering Tutors and Teachers 🚀
Tutors and teachers play a crucial role in helping students master these essential formulae. Incorporating real-life examples and practical exercises can make learning more engaging and memorable. Personalised learning strategies and revision tips can also boost student motivation.
