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SingaporeMaths

Mensuration and Trigonometry

4 dot points across 4 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do we find the perimeter and area of rectangles, triangles, circles and shapes made from them?

Calculate the perimeter and area of rectangles, triangles, parallelograms, trapeziums and circles, and of composite figures
A focused answer to the N(A)-Level Mathematics outcome on perimeter and area. Formulae for rectangles, triangles, parallelograms, trapeziums and circles, plus composite shapes and correct units.
8 min answer →

In a right-angled triangle, how are the three sides related, and how do we find a missing side?

Apply Pythagoras' theorem to find a missing side in a right-angled triangle and to solve simple problems
A focused answer to the N(A)-Level Mathematics outcome on Pythagoras' theorem. The relationship between the three sides, finding the hypotenuse or a shorter side, and real problems.
8 min answer →

How do sine, cosine and tangent connect the angles and sides of a right-angled triangle?

Use the sine, cosine and tangent ratios to find unknown sides and angles in right-angled triangles
A focused answer to the N(A)-Level Mathematics outcome on trigonometry. Labelling opposite, adjacent and hypotenuse, the SOH-CAH-TOA ratios, finding a side, and finding an angle.
9 min answer →

How do we find the volume and surface area of cuboids, prisms and cylinders?

Calculate the volume and surface area of cuboids, prisms and cylinders, and solve problems involving capacity
A focused answer to the N(A)-Level Mathematics outcome on solids. Volume of cuboids, prisms and cylinders, surface area as the total of the faces, and capacity in litres.
8 min answer →