Year 10 Maths

Year 10 maths mainly focuses on quadratic equations, trigonometry, advanced trigonometry, functions, statistics, etc. Year 10 maths is very important for students as they are going to consolidate what they have learned in the previous two years and improve their knowledge by learning advanced concepts. Students need to get themselves exposed to context-based problems to understand the application of the concepts.

Year 10 Maths - Curriculum

Here is the complete list of year 10 maths topics. It is very important to have them in hand as it helps them throughout the year.

Number System:

• Prime factorization
• HCF and LCM
• Rational and irrational numbers
• Converting repeating decimals into fractions
• Square roots and cube roots
• Simplifying surds
• Fractional indices
• Exponential Equations

Percentages, Ratios, Rates, and Proportions:

• Percentages
• Ratios
• Rates
• Proportions

Algebra:

• Factorization
• Polynomials
• Pair of linear equations in two variables
• Quadratic equations
• Rational equations
• Relations and functions
• Domain and range of functions
• Arithmetic progressions

Coordinate Geometry:

• Equation of a line
• Graphing a line
• Distance formula
• Midpoint formula

Geometry:

• Triangle theorems
• Circle theorems
• Constructions

Trigonometry:

• sin, cos, tan
• csc, sec, cot
• Trigonometric ratios of special angles
• Finding missing sides and angles in a right triangle

Mensuration:

• Areas of circles and sectors
• Surface areas and volumes

Statistics and Probability:

• Mean, median, and mode of grouped data
• Cumulative frequency graph
• Median, lower quartile, and upper quartile
• Box and Whisker plot
• Scatter plots
• Probability of independent and dependent events
• Mutually exclusive events

Developing Year 10 Maths Skills

Year 10 maths has lots of newly introduced topics such as surds, polynomials, special right-angled triangles in trigonometry, grouped data, probability of independent events, etc. To develop the skill in these topics, it is important to understand the theory part first.

Surds: Year 10 maths newly introduces surds and various operations on surds. Surds involve mixed concepts of square roots, cube roots, and irrational numbers. Surds simplification further involves laws of exponents as well.

Polynomials: In year 10, the student learns the relationship between the zeros and coefficients of polynomials. Also, it involves simple problems on the division algorithm.

Trigonometry: In year 10 trigonometry, some special right triangles with 30°-60°-90° and 45°-45°-90° are introduced. Students need to solve right triangles using these special angles.

Statistics: In year 10 statistics, the topics that are newly introduced are finding the measures of central tendency of grouped data, box and whisker plots, probability of independent and dependent events, etc.

Year 10 Maths Tips and Tricks

Here are some tips for a year 10 student to excel in maths.

• Do not rote learn the formulas/concepts. Understand the theory first and then try to memorize the formulas.
• Work on more and more exam-style questions. It is the key to improving speed and accuracy during the exam.
• Work on the exam-style questions under exam conditions. i.e., keep a timer while solving.
• Work on the mistakes.