FAST-NU Advanced Mathematics — Partial Fractions
Partial Fractions is part of the Advanced Mathematics section of FAST's BS CS/Engineering admission test (usually 50 of the 120 MCQs, 50% of the marks). It breaks into 2 subtopics, and we hold 22 FAST-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (2)
How Partial Fractions is tested
Across the 7 FAST-pattern papers on ParhaiKrlo, Partial Fractions accounts for 7 questions. It appears in all 7, about 1 questions a paper. The heaviest was FAST Past Paper 07, with 1 question.
| Paper | Questions |
|---|---|
| FAST Past Paper 07 | 1 |
| FAST Past Paper 06 | 1 |
| FAST Past Paper 05 | 1 |
| FAST Past Paper 04 | 1 |
| FAST Past Paper 03 | 1 |
| FAST Past Paper 02 | 1 |
| FAST Past Paper 01 | 1 |
Partial Fractions MCQs from the FAST-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · FAST Past Paper 07 · Partial Fractions
Before an improper rational fraction is resolved into partial fractions, we must first:
- A.differentiate it
- B.divide the numerator by the denominator
- C.square it
- D.put x = 0
Show answer
Answer: B. divide the numerator by the denominator — Divide first, so that what is left over is a proper fraction.
- Q2 · FAST Past Paper 06 · Partial Fractions
The correct form of the partial fractions of (3x + 5)/((x − 1)²(x + 2)) is:
- A.A/(x − 1)² + B/(x + 2)
- B.A/(x − 1) + B/(x + 2)
- C.A/(x − 1)³ + B/(x + 2)
- D.A/(x − 1) + B/(x − 1)² + C/(x + 2)
Show answer
Answer: D. A/(x − 1) + B/(x − 1)² + C/(x + 2) — A repeated factor (x − 1)² needs a term for each power: A/(x − 1) + B/(x − 1)², plus C/(x + 2).
- Q3 · FAST Past Paper 05 · Partial Fractions
A rational fraction P(x)/Q(x) is called proper when:
- A.the degree of P(x) is less than the degree of Q(x)
- B.the degree of P(x) is greater than the degree of Q(x)
- C.P(x) = Q(x)
- D.Q(x) is a constant
Show answer
Answer: A. the degree of P(x) is less than the degree of Q(x) — Proper: the top has a smaller degree than the bottom.