Start learning →

CSEE (Form 4) Mean — practice questions

Explore 23 free Mean questions in CSEE (Form 4) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Mean with Quill →

Mean questions and exercises with answers

Showing questions 1–23 of 23.

In a right-angled triangle, which side is always directly opposite the right angle?Read the answer and worked solution →Does the tangent ratio have a maximum value?Read the answer and worked solution →A right-angled triangle has shorter sides of 6 cm and 8 cm. How long is the hypotenuse?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

In a right-angled triangle, which side is always directly opposite the right angle?

  1. The opposite side
  2. The adjacent side
  3. The hypotenuse
  4. The shortest side
Show answer and solution

Correct answer: C. The hypotenuse

1. The three sides of a right-angled triangle are named relative to the angle you are working with. 2. The hypotenuse is always opposite the right angle and is always the longest side. 3. It keeps that position whichever of the other two angles you choose to look at. 4. The opposite and adjacent sides do swap places when you switch angle. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 5: Trigonometry_

Open this question →

Does the tangent ratio have a maximum value?

  1. Yes, its maximum is 1
  2. No, it has no maximum
  3. Yes, its maximum is 2
  4. Yes, its maximum is 0
Show answer and solution

Correct answer: B. No, it has no maximum

1. The tangent ratio is the opposite side divided by the adjacent side. 2. Neither of those two sides has to be the longest side of the triangle. 3. The opposite side can therefore be many times longer than the adjacent side. 4. So there is no maximum value for the tangent ratio. 5. Sine and cosine both divide by the hypotenuse instead, which is why they cannot exceed 1. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 5: Trigonometry_

Open this question →

A right-angled triangle has shorter sides of 6 cm and 8 cm. How long is the hypotenuse?

  1. 12 cm
  2. 14 cm
  3. 10 cm
  4. 48 cm
Show answer and solution

Correct answer: C. 10 cm

1. The sides of a right-angled triangle obey the Theorem of Pythagoras. 2. The square of the hypotenuse equals the sum of the squares of the two other sides. 3. Square the first short side: 6 times 6 is 36. 4. Square the second short side: 8 times 8 is 64. 5. Add them: 36 plus 64 is 100. 6. The hypotenuse is the number whose square is 100, which is 10, so the hypotenuse is 10 cm. 7. Answering 14 cm just adds the two short sides, which ignores the theorem. 8. Answering 48 cm multiplies them, which is the area trap rather than a length. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 5: Trigonometry_

Open this question →

How to practise

  1. Choose a Mean 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

AlgebraApplication of IntegralsBinomial TheoremCalculusClass11 Sets BasicsClass11 Sets OperationsClass12 Functions BasicsClass12 Relations Basics