SOME MATHES SHORT TRICKS SPECIFICALLY USEFULL FOR CLASS 10TH :

🔢1. Square of a 2-digit number ending in 5

If a number ends in 5, you can square it like this :

• Formula – (x5)² = x*(x+1) and add 25
• Example – (75)² = 7*8 = 5625

❌2. Multiple number near 100

• Trick for number like 98*97 :

(100-a)(100-b) = 10000-100 (a+b) + ab

• Example : 98*97 = 100-2, 100-3

➡️10000-100(5)+6 = 9506

🧭3. Area of Triangle using Heroe’s Formula

1. Calculate semi-perimeter : S = a+b+c/2
2. Apply :

Area = √s(s-a)(s-b)(s-c)

👉 Memorize the steps as S-Area formula : SSABBC = s, s-a , s-b , s-c

📐4. Divisibility Tricks

• By 3 : Sum of digits divisible by 3
• By 4 : Last 2 digits divisible by 4
• By 11 : Alternating digits sun difference divisible by 11

🔢5. a² – b² = (a-b)(a+b)

Use it to solve quickly :

• Example :

104² – 96² = (104-96)(104+96) = 8*200 = 1600