Maths Made too Easy

How to find the sum of a quadrilateral
1. Use the formula (n-2)×180° where n = number of sides. For n = 4: (4-2)×180° = 360°
2. Draw a trapezium. Split it by drawing 1 diagonal from one corner to the opposite corner. This forms 2 triangles. Keep it to 1 diagonal so the lines do not cross 📐

1. Draw a hexagon
2. Pick one corner. Draw diagonals to all other corners
Rule: No lines can cross or intersect inside
3. Count the triangles you made.
=4 triangles
4. Each triangle = 180°
So total = 4 × 180° = 720°

I split a pentagon into 3 triangles using diagonals, no bisections. Each triangle = 180°. 3 × 180° = 540°. So the sum of interior angles in any pentagon is 540° ✨

Linear
Area
Volume
Expansivity
Learn types and the formula. Note the connectivity.

Pack all 5 volume formulas in one mental bag
Cuboid, triangular prism, cylinder, cone, and sphere formulas look different, but the logic is the same: Base Area × height, then adjust. Prism + cylinder = base × height. Cone + sphere = ⅓ or 4/3 of a cylinder’s logic.

Learning them together saves stress during exams. You stop memorizing 5 separate things and start seeing one pattern with tweaks. That means faster recall, fewer mistakes, and more confidence in math and physics.

One bag, one idea, five shapes. Master the pattern and you master them all.

Identify any element by its atomic number
The atomic number = number of protons. That number is what defines each element on the periodic table. If Z = 17, it’s chlorine. Period.

Mass number counts protons + neutrons, but you don’t need it to name the element. Just check the protons.

Two ways to convert 5 m/s to km/h

Method 1: Use the standard 10 m/s = 36 km/h
If 10 m/s = 36 km/h, then 5 m/s is half of that.
5 m/s = 36 ÷ 2 = 18 km/h
Quick mental math: half the m/s, half the km/h.

Method 2: Convert units directly
5 m/s = 5 meters per 1 second
1. Convert meters to km: 5 m = 5/1000 = 0.005 km
2. Convert seconds → hours: 1 s = 1/3600 h
So 5 m/s = 0.005 km ÷ (1/3600 h) = 0.005 × 3600 = 18 km/h