Start learning →

UCE (O-Level) Geometry — practice questions — page 2

Explore 49 free Geometry questions in UCE (O-Level) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Geometry with Quill →

Geometry questions and exercises with answers

Showing questions 31–49 of 49.

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

Match each identity to its name

Read exercise and reference answers
Matching pairs
  1. Left
    cos²x + sin²x
    Right
    = 1
  2. Left
    1 + tan²x
    Right
    = sec²x
  3. Left
    1 + cot²x
    Right
    = cosec²x
  4. Left
    l = rθ
    Right
    arc length from radius and angle
The three Pythagorean identities the chapter lists. Source: syllabus Maths, Ch 3 Trigonometric Functions.

Open this exercise →

The Pythagorean identities

Read exercise and reference answers
Questions
  1. Question
    cos²x + sin²x equals
    Choices
    1. 0
    2. 1
    3. 2
    Correct choice
    1
  2. Question
    1 + tan²x equals
    Choices
    1. cosec²x
    2. cot²x
    3. sec²x
    Correct choice
    sec²x
  3. Question
    1 + cot²x equals
    Choices
    1. cosec²x
    2. sec²x
    3. tan²x
    Correct choice
    cosec²x
  4. Question
    Which identity involves cosec?
    Choices
    1. 1 + tan²x
    2. 1 + cot²x
    3. cos²x + sin²x
    Correct choice
    1 + cot²x
Straight recall of the three. Source: syllabus Maths, Ch 3 Trigonometric Functions.

Open this exercise →

Odd function or even function?

Read exercise and reference answers
Items
  1. Item
    sin(−x) = −sin x
    Category
    Odd: f(−x) = −f(x)
  2. Item
    sine
    Category
    Odd: f(−x) = −f(x)
  3. Item
    cos(−x) = cos x
    Category
    Even: f(−x) = f(x)
  4. Item
    cosine
    Category
    Even: f(−x) = f(x)
Categories
  1. Item
    Odd: f(−x) = −f(x)
  2. Item
    Even: f(−x) = f(x)
sin reverses sign with x; cos does not. That single fact settles many sign questions. Source: syllabus Maths, Ch 3 Trigonometric Functions.

Open this exercise →

How to practise

  1. Choose a Geometry 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

Binomial TheoremCorrelation and RegressionLinear ProgrammingMeanMedianPermcombPermutations and CombinationsProbability & Statistics