In the Indian curriculum, mathematics is usually considered to be one of the key subjects and the importance of Class 10th math cannot be overstressed. Class 10th math in essence lays the foundation for advanced math so students must strive to grasp all of its aspects, especially the formulas. If you struggle to take in Class 10th math as you have difficulty remembering the formulas, this article is for you. Down below is a list of all formulas that every Class 10th student must keep in mind while studying math.
All Math Formulas In Class 10th
Algebra
Algebra is a fundamental branch of mathematics that deals with the manipulation of mathematical symbols to solve problems. Here is a list of algebra formulas featured in the Class 10th syllabus:
- (a + b)^2 = a^2 + 2ab + b^2
- (a – b)^2 = a^2 – 2ab + b^2
- a^2 – b^2 = (a + b) (a – b)
- (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ac
- (a – b – c)^2 = a^2 + b^2 + c^2 – 2ab – 2bc + 2ac
- a^3 + b^3 = (a + b) (a^2 – ab + b^2)
- a^3 – b^3 = (a – b) (a^2 + ab + b^2)
- (a + b)^3 = a^3 + b^3 + 3ab (a + b)
- (a – b)^3 = a^3 – b^3 – 3ab (a – b)
- a^3 + b^3 + c^3 – 3abc = (a + b + c) (a^2 + b^2 + c^2 – ab – ac – bc)
Geometry
Geometry is a branch of mathematics that deals with the study of shapes, sizes, positions, and dimensions of objects. Here is a list of geometry formulas featured in the Class 10th syllabus:
- Area of a rectangle = length x breadth
- Perimeter of a rectangle = 2 (length + breadth)
- Area of a square = side x side
- Perimeter of a square = 4 x side
- Area of a parallelogram = base x height
- Perimeter of a parallelogram = 2 (side1 + side2)
- Area of a triangle = 1/2 x base x height
- Perimeter of a triangle = side1 + side2 + side3
- Area of a circle = π x radius^2
- Circumference of a circle = 2π x radius
- Area of the sector of angle θ = (θ/360) × π r2
- Length of an arc of a sector of angle θ = (θ/360) × 2 π r
Trigonometry
Trigonometry is a branch of mathematics that deals with the study of relationships between angles and sides of triangles. Here is a list of trigonometry formulas featured in the Class 10th syllabus:
- sin θ = opposite/hypotenuse
- cos θ = adjacent/hypotenuse
- tan θ = opposite/adjacent
- cosec θ = hypotenuse/opposite
- sec θ = hypotenuse/adjacent
- cot θ = adjacent/opposite
Mensuration
Mensuration is a branch of mathematics that deals with the measurement of geometrical figures like length, area, volume, etc. Here is a list of mensuration formulas featured in the Class 10th syllabus:
- Perimeter of a rectangle = 2 x (length + breadth)
- Perimeter of a square = 4 x side
- Perimeter of a triangle = sum of all three sides
- Volume of a cube = side x side x side
- Volume of a cuboid = length x breadth x height
- Volume of a cylinder = π x radius x radius x height
- Surface area of a cube = 6 x (side x side)
- Surface area of a cuboid = 2[(length x breadth) + (breadth x height) + (length x height)]
- Surface area of a cylinder= 2 x π x radius x radius + 2 x π x radius x height
Statistics
Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. Here is a list of statistics formulas featured in the Class 10th syllabus:
- Mean Formula: Mean = (Sum of all observations)/(Total number of observations)
- Median Formula: Median = ((n+1)/2)th observation
- Mode Formula: Mode = Value with maximum frequency
- Range Formula: Range = Maximum value – Minimum value
- Variance Formula: Variance = (Sum of squares of deviations)/(Total number of observations)
- Standard Deviation Formula: Standard Deviation = √Variance
Arithmetic Progression
- nth term (tn) = a + (n-1)d
- Sum of first n terms (Sn) = n/2[2a + (n-1)d]
- Sum of n terms = n/2(First term + Last term)
Tips And Tricks
- Practice, practice and practice: Regular practice is the key to mastering math formulas. By solving different problems using different formulas, you should be able to remember all the formulas with relative ease.
- Study the concepts: Instead of merely memorizing the formulas, you should strive to understand the underlying concepts behind the formulas. The more you understand the concepts, the easier you could remember the formulas.
- Create a cheat sheet: If you struggle to remember things, create a cheat sheet of all the important formulas. Keep the cheat sheet on you all the time so you could quickly look up specific formulas whenever you fail to recall them on your own.
- Make use of visual aids: It won’t hurt to rely on diagrams, graphs and other visual aids as you attempt to take in the formulas.
- Break down complex formulas: If a formula seems too complex for you to remember as a whole, split it into several parts.
- Use real-life examples: Look around to find practical uses of the formulas. If you manage to link formulas to real-life examples, you could remember them for a long time.
- Hold study sessions: Unable to stay motivated on your own? Then don’t hesitate to hold study sessions alongside your peers, teachers, tutors,… Spend some time discussing approaches to formulas, techniques to remember them and so on.