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Cambridge Assessment For examination from 2025 MATHEMATICS 0580/02 Paper 2 Non-calculator (Extended) For examination from 2025 SPECIMEN PAPER 2 hours$7.99
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Cambridge Assessment For examination from 2025 MATHEMATICS 0580/02 Paper 2 Non-calculator (Extended) For examination from 2025 SPECIMEN PAPER 2 hours
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Course
Mathematics
Institution
Cambridge Assessment
For examination from 2025
MATHEMATICS 0580/02
Paper 2 Non-calculator
(Extended) For examination from 2025
SPECIMEN PAPER 2 hours
The solution contains:
proof of formulas used in solution
Figure for each solution to make visual learning
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
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