Practice NAT questions with answers and explanations.
Choose an option to check your answer.
A rectangle has four right angles and opposite sides equal.
Its diagonals are also equal in length.
Choose an option to check your answer.
For a triangle, the sum of any two sides must exceed the third.
Here 4 + 7 = 11, which is less than 12.
Choose an option to check your answer.
A rhombus is defined by four equal sides.
Its angles need not be right angles.
Choose an option to check your answer.
Under the common school definition, a trapezium has one pair of parallel sides.
Parallelograms have two pairs.
Choose an option to check your answer.
The sum is (n - 2) × 180°.
For n = 5, this is 3 × 180° = 540°.
Choose an option to check your answer.
The total interior angle sum is 720°.
Dividing by 6 equal angles gives 120°.
Choose an option to check your answer.
The exterior angles of any polygon sum to 360°.
For a regular octagon, each is 360° ÷ 8 = 45°.
Choose an option to check your answer.
The number of diagonals is n(n - 3)/2.
For n = 6, this gives 6 × 3 ÷ 2 = 9.
Choose an option to check your answer.
An angle subtended by a diameter at the circumference is a right angle.
This result is known as Thales' theorem.
Choose an option to check your answer.
The diameter is twice the radius.
Thus, 2 × 7 = 14 cm.
Choose an option to check your answer.
Triangle angles sum to 180°.
The third angle is 180° - 45° - 65° = 70°.
Choose an option to check your answer.
The discriminant is b² - 4ac.
Here it is 4² - 4(1)(1) = 16 - 4 = 12.
