IP Maths Notes (Lower Sec, Year 1-2): 07) Mensuration & Circles

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22 Nov 2025, 00:00 Z

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Marcus Pang·Managing Director (Maths)

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Q: What does IP Maths Notes (Lower Sec, Year 1-2): 07) Mensuration & Circles cover?
A: Compute perimeter, area, surface area, volume, and circle sector measures with accurate units.

Mensuration blends geometry with measurement. You must recall formulae, plug numbers correctly, and interpret units.

These notes align with MOE Lower Secondary Mathematics syllabus used in IP pathways (aligned to O-Level Mathematics 4048 foundations).

Status: MOE Lower Secondary Mathematics syllabus (latest release) checked 2025-11-30 - scope unchanged; remains the reference for these lower-sec notes.

Learning targets

Recall core area and circumference formulas for polygons and circles.
Compute arc length and sector area using radian or degree measures.
Evaluate surface area and volume of prisms, cylinders, pyramids, and composite solids.
Justify unit conversions and rounding for dimensional answers.

1. Formula bank

Figure	Perimeter / Circumference	Area
Square	$4a$	$a^2$

Solid	Surface area	Volume
Prism	Sum of areas of all faces	Base area $\times$ height
Cylinder	$2\pi r h + 2\pi r^2$	$\pi r^2 h$
Cone	$\pi r l + \pi r^2$	$\frac{1}{3}\pi r^2 h$
Sphere	$4\pi r^2$	$\frac{4}{3}\pi r^3$

IP Maths Notes (Lower Sec, Year 1-2): 07) Mensuration & Circles

Learning targets

1. Formula bank

2. Circle sectors

3. Surface area and volume

Composite solids

Worked example - Cylinder with hemispherical ends

4. Units and accuracy

Practice Quiz

Try it yourself

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