Practice NAT Mathematics questions with answers and explanations.
Choose an option to check your answer.
Distance is √[(3 - 0)² + (4 - 0)²].
This equals √25 = 5.
Choose an option to check your answer.
Area is one-half × sum of parallel sides × height.
Thus, 1/2 × 22 × 5 = 55 cm².
Choose an option to check your answer.
Circumference is 2πr.
Thus, 2 × 22/7 × 7 = 44 cm.
Choose an option to check your answer.
Circle area is πr².
Thus, 22/7 × 49 = 154 cm².
Choose an option to check your answer.
A 90° arc is one quarter of the circumference.
The circumference is 88 cm, so the arc is 22 cm.
Choose an option to check your answer.
Sector area is angle/360 × πr².
Thus, 60/360 × 36π = 6π cm².
Choose an option to check your answer.
Cube volume is side cubed.
Thus, 4³ = 64 cm³.
Choose an option to check your answer.
A cube has six square faces, each of area 25 cm².
Thus, total area is 6 × 25 = 150 cm².
Choose an option to check your answer.
Cuboid volume is length × width × height.
Thus, 8 × 5 × 3 = 120 cm³.
Choose an option to check your answer.
Cylinder volume is πr²h.
Thus, π × 9 × 10 = 90π cm³.
Choose an option to check your answer.
Rectangle perimeter is 2(length + width).
Thus, 2(8 + 5) = 26 cm.
Choose an option to check your answer.
Rectangle area is length multiplied by width.
Thus, 12 × 7 = 84 m².
