Maths practice for 14 year olds

At 15 years old, students should be comfortable with core algebra, including solving linear and quadratic equations, inequalities, and systems of equations. They must understand geometry concepts like the Pythagorean theorem, area/volume calculations, and basic trigonometry (sine, cosine, tangent). Proficiency in functions—graphing, domain/range, and real-world applications (e.g., distance vs. time)—is essential. They should also handle statistics and probability, such as analyzing data sets and calculating probabilities. Finally, they ought to apply math to practical scenarios, like budgeting or interpreting charts, while advanced learners may start pre-calculus or logic-based problem-solving.

Direction: Solve each problem carefully and show your solution in each item.