Start learning →

ZIMSEC O-Level Mensuration — practice questions

Explore 24 free Mensuration questions in ZIMSEC O-Level Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Mensuration with Quill →

Mensuration questions and exercises with answers

Showing questions 1–24 of 24.

What is a mathematical statement that equates one quantity with another called?Read the answer and worked solution →Which rule fits a triangle when two angles and one side are known?Read the answer and worked solution →Two sides of a triangle are 10 cm and 8 cm long and the sine of the angle between them is 0.5. What is the area?Read the answer and worked solution →Two sides of a triangle and the angle opposite the shorter of them are given. What does this produce?Read the answer and worked solution →Complete the arc length relationRead the answer and worked solution →Match each identity to its nameRead the answer and worked solution →The Pythagorean identitiesRead the answer and worked solution →Odd function or even function?Read the answer and worked solution →Complete the degree and radian conversionRead the answer and worked solution →True or false: identities and parityRead the answer and worked solution →Match each sum or difference formula to its resultRead the answer and worked solution →Signs in the expansionRead the answer and worked solution →Which formula does this belong to?Read the answer and worked solution →True or false: periodicityRead the answer and worked solution →Complete the complementary angle rulesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: convert degrees to radiansRead the answer and worked solution →Flip and pair: identity with its valueRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Tap every correct identityRead the answer and worked solution →Radians and degreesRead the answer and worked solution →True or false: reading the identitiesRead the answer and worked solution →

Worked practice questions

What is a mathematical statement that equates one quantity with another called?

  1. An identity
  2. An estimate
  3. An interval
  4. An operator
Show answer and solution

Correct answer: A. An identity

1. An identity is a mathematical statement that equates one quantity with another. 2. Trigonometric identities let an expression be rewritten with sine and cosine ratios only. 3. That rewriting is what makes it possible to prove further identities and solve equations. _Source: Siyavula Mathematics Grade 11 (Everything Maths, CC BY 4.0), Chapter 6: Trigonometry_

Open this question →

Which rule fits a triangle when two angles and one side are known?

  1. The area rule
  2. The sine rule
  3. The cosine rule
  4. The chord rule
Show answer and solution

Correct answer: B. The sine rule

1. The sine, cosine and area rules all work in triangles that have no right angle. 2. The sine rule is chosen when two angles and a side are given. 3. It is also chosen when two sides and an angle that is not between them are given. 4. The cosine rule is for two sides with the angle between them, or for all three sides. 5. The area rule is used to find area, not a missing side or angle. _Source: Siyavula Mathematics Grade 11 (Everything Maths, CC BY 4.0), Chapter 6: Trigonometry_

Open this question →

Two sides of a triangle are 10 cm and 8 cm long and the sine of the angle between them is 0.5. What is the area?

  1. 20 square centimetres
  2. 40 square centimetres
  3. 80 square centimetres
  4. 18 square centimetres
Show answer and solution

Correct answer: A. 20 square centimetres

1. The area rule works in any triangle and needs no perpendicular height. 2. It gives half the product of two side lengths multiplied by the sine of the angle between them. 3. Multiply the two sides: 10 cm times 8 cm is 80 square centimetres. 4. Multiply by the sine of the included angle: 80 times 0.5 is 40 square centimetres. 5. Take half of that: half of 40 is 20 square centimetres. 6. The area of the triangle is therefore 20 square centimetres. 7. Answering 80 square centimetres uses neither the sine value nor the halving. 8. Answering 40 square centimetres forgets the halving, and 18 square centimetres adds the sides instead. _Source: Siyavula Mathematics Grade 11 (Everything Maths, CC BY 4.0), Chapter 6: Trigonometry_

Open this question →

How to practise

  1. Choose a Mensuration question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

StatisticsAlgebraClass12 Functions BasicsClass12 Relations BasicsGeometryMatrices and DeterminantsProbability & StatisticsSequences