NBT Mathematics Geometry and Trigonometry

Question 1

The angles in a triangle are 50 degrees and 60 degrees. What is the third angle?

Accepted Answer

70 degrees

Answer

Angles in a triangle add to 180 degrees. 180 - 50 - 60 = 70 degrees.

Question 2

A right-angled triangle has legs of 3cm and 4cm. What is the length of the hypotenuse?

Accepted Answer

5cm

Answer

By Pythagoras, hypotenuse = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5cm.

Question 3

What is the area of a rectangle that is 8m long and 5m wide?

Accepted Answer

40 m^2

Answer

Area of a rectangle = length x width = 8 x 5 = 40 m^2.

Question 4

In a right-angled triangle, sin(theta) is defined as:

Accepted Answer

opposite / hypotenuse

Answer

By definition, sin(theta) = opposite side / hypotenuse (the 'SOH' in SOH-CAH-TOA).

Question 5

What is the value of cos(60 degrees)?

Accepted Answer

0.5

Answer

cos(60 degrees) = 0.5, a standard value worth memorising for the NBT Maths paper.

National Benchmark Test (NBT) Practice Test