Cambridge Assessment For examination from 2025 MATHEMATICS 0580/02 Paper 2 Non-calculator (Extended) For examination from 2025 SPECIMEN PAPER 2 hours

Cambridge Assessment
For examination from 2025
MATHEMATICS 0580/02
Paper 2 Non-calculator
(Extended) For examination from 2025
SPECIMEN PAPER 2 hours
Solved by shahbaz ahmed
February 2024


List of formulas with proof
Area, A, of triangle, base b, height
h
𝐴 = 12 𝑏ℎ



Proof




Reference to the ▱ ABCD in the figure


1

,Area of the ▱ ABCD= 𝑏𝑎𝑠𝑒 × 𝑎𝑙𝑡𝑖𝑡𝑢𝑑𝑒

Area of the ▱ ABCD= (𝐷𝐶) × (𝐴𝐿)

Let 𝐷𝐶 = 𝑏 ,𝐴𝐿 = ℎ ⟹

Area of the ▱ ABCD= (𝑏)(ℎ)

Area of the ▱ ABCD= 𝑏ℎ

Area of the △ADC= 12 𝑏ℎ
Area, A, of circle of radius r. 𝐴 =

𝜋𝑟2



Circumference, C, of circle of ra-

dius r 𝐶 = 2𝜋𝑟



Curved surface area, A, of cylinder

of radius r, height h. 𝐴 = 2𝜋𝑟ℎ



proof




Reference to the figure



2

,Curved surface is made by the rectangle




Curved surface area, A, of cylinder of radius r, height h. =2𝜋𝑟ℎ



Curved surface area, A, of cone of

radius r, sloping edge l:

𝐴 = 𝜋𝑟𝑙


figure to explain




Where slant height =h



3

, Surface area, A, of sphere of radius

r.

= 4𝜋𝑟2



Volume, V, of prism,cross-sectional

area A, length l.

𝑉 = 𝐴𝑙


Figure of prism




Where
𝑏
Area of the triangle𝐴 = ℎ

Length of the prism=l

Volume, V, of prism,cross-sectional area A, length l=area of the triangle ×length


4