← Maths syllabus

SingaporeMaths

Mensuration and Trigonometry

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do we find the length of an arc and the area of a sector of a circle?

Calculate arc length and sector area as fractions of a circle, and find the perimeter and area of segments
A focused answer to the O-Level E-Maths outcome on arcs and sectors. Arc length and sector area as fractions of the whole circle, the perimeter of a sector, and the area of a segment.
8 min answer →

How do we find the area and perimeter of standard plane figures and composite shapes?

Calculate the perimeter and area of triangles, quadrilaterals and circles, and of composite plane figures
A focused answer to the O-Level E-Maths outcome on area and perimeter. The standard area formulas for triangles, parallelograms, trapeziums and circles, perimeter and circumference, and composite figures.
8 min answer →

How do we find sides and angles in triangles that are not right-angled?

Apply the sine rule and the cosine rule to find sides and angles in any triangle, and find the area using the sine formula
A focused answer to the O-Level E-Maths outcome on the sine and cosine rules. When to use each rule, finding sides and angles in non-right-angled triangles, and the area of a triangle using half ab sine C.
9 min answer →

How do the sine, cosine and tangent ratios let us find sides and angles in right-angled triangles?

Use sine, cosine and tangent to find unknown sides and angles in right-angled triangles, including angles of elevation and depression
A focused answer to the O-Level E-Maths outcome on right-angled trigonometry. The sine, cosine and tangent ratios, choosing the right ratio, finding sides and angles, and angles of elevation and depression.
9 min answer →

How do we find the volume and surface area of prisms, cylinders, cones, pyramids and spheres?

Calculate the volume and surface area of prisms, cylinders, pyramids, cones and spheres, and of composite solids
A focused answer to the O-Level E-Maths outcome on volume and surface area. The formulas for prisms, cylinders, cones, pyramids and spheres, curved and total surface area, and composite solids.
9 min answer →