Perimeter and area of polygons and circles, arc length and the area of a sector, estimating area, and compound shapes.
5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.
Fencing a yard, tiling a floor, painting a wall, cutting a pizza — measurement is where maths meets the real world, and it fills a whole section of Paper 02.
Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.
Copy these into your notebook in your own words — that is how they stick.
Add all outside edges; for circles C = 2πr.
Rectangle lw; triangle ½bh; parallelogram bh; trapezium ½(a + b)h; circle πr². (The trapezium, circle and triangle formulae are on the exam formula sheet.)
Arc = θ/360 × 2πr. Sector area = θ/360 × πr². Perimeter of sector = arc + 2r.
Split into simple shapes; add areas or subtract holes; perimeter uses outside edges only.
Whole squares + half-or-more squares, × area of one square.
Area in square units (cm², m²). 1 m² = 10 000 cm².
To find a missing height or radius, substitute known values and solve the equation.
Use the value given: 22/7, 3.14 or the calculator key. Leave in terms of π if asked.
3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Mathematics Arcade.
8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.
Write full answers, then reveal the mark scheme and tick the points you earned (15 marks in total). Show all your working — method marks count. Your answers are saved on this device.
Question 1 [7 marks]
A piece of wire, 64 cm long, is bent to form the boundary of a sector of a circle of radius 21 cm. Use π = 22/7.
(a) Calculate the length of the arc of the sector. [2]
(b) Show that the angle of the sector is 60°. [3]
(c) Calculate the area enclosed by the wire. [2]
Question 2 [8 marks]
A window is made of a rectangle 1.2 m wide and 0.8 m high with a semicircle of diameter 1.2 m on top. Use π = 3.14.
(a) Calculate the area of the window. [3]
(b) Calculate the perimeter of the window. [3]
(c) Glass costs $120 per square metre. Find the cost of the glass for the window, to the nearest dollar. [2]
Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.