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Quiz Chapter 2: Factorisation and Algebraic Fractions

10 questions · Form 2 Mathematics Bab 2: Factorisation and Algebraic Fractions

10 questions · plays in fullscreen

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. Simplify: (52a) - (13a).

  1. 4a
  2. 136a
  3. 46a
  4. 13a
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Answer: B

The LCM of 2a and 3a is 6a: (156a) - (26a) = 136a.

2. Factorise x² - 49.

  1. (x - 7)²
  2. (x + 7)(x - 7)
  3. (x + 49)(x - 1)
  4. (x - 7)(x - 7)
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Answer: B

Using difference of two squares a² - b² = (a + b)(a - b): x² - 7² = (x + 7)(x - 7).

3. Simplify the expression: (2x3) + (x4).

  1. 3x7
  2. 11x12
  3. 3x12
  4. 8x12
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Answer: B

Find the LCM of 3 and 4, which is 12: (2x × 412) + (x × 312) = 8x12 + 3x12 = 11x12.

4. If the area of a rectangle is (x² + 6x + 8) cm² and its length is (x + 4) cm, find its width.

  1. (x + 2) cm
  2. (x - 2) cm
  3. (x + 3) cm
  4. (x + 1) cm
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Answer: A

Width = Area ÷ Length = x² + 6x + 8x + 4 = (x + 4)(x + 2)x + 4 = x + 2 cm.

5. Express x² - 9x + 3 in its simplest form.

  1. x + 3
  2. x - 3
  3. x - 9
  4. 1x + 3
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Answer: B

Factorise the numerator: (x + 3)x - 3x + 3 = x - 3.

6. Expand the expression -3x(2x - 5).

  1. -6x² - 15x
  2. -6x² + 15x
  3. 6x² - 15x
  4. -6x + 15
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Answer: B

Multiply -3x by each term inside the bracket: (-3x)(2x) + (-3x)(-5) = -6x² + 15x.

7. Factorise by grouping: ax + ay + bx + by.

  1. (a - b)(x + y)
  2. (a + b)(x - y)
  3. (a + b)(x + y)
  4. ab(x + y)
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Answer: C

Group in pairs: a(x + y) + b(x + y) = (a + b)(x + y).

8. Simplify: 1 - x - 23.

  1. 5 - x3
  2. 1 - x3
  3. x + 13
  4. 5 + x3
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Answer: A

Combine under common denominator 3: 3 - (x - 2)3 = 3 - x + 23 = 5 - x3.

9. Factorise 5p + 5q - ap - aq completely.

  1. (5 - a)(p - q)
  2. (5 + a)(p + q)
  3. (5 - a)(p + q)
  4. (a - 5)(p + q)
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Answer: C

Group terms: 5(p + q) - a(p + q) = (5 - a)(p + q).

10. Expand and simplify: (x + 5)(x - 5) + 25.

  1. x² + 50
  2. x² - 50
  3. x²
  4. x² + 25
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Answer: C

Expand (x + 5)(x - 5) to get x² - 25. Then x² - 25 + 25 = x².

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