ECAT Mathematics — Partial Fractions
Partial Fractions is part of the Mathematics section of the UET ECAT (30 of the 100 MCQs). It breaks into 3 subtopics, and we hold 17 ECAT-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (3)
How Partial Fractions is tested
Across the 7 ECAT past papers on ParhaiKrlo, Partial Fractions accounts for 3 questions. It appears in 3 of them, about 1 questions a paper. The heaviest was ECAT Past Paper 06, with 1 question.
| Paper | Questions |
|---|---|
| ECAT Past Paper 06 | 1 |
| ECAT Past Paper 02 | 1 |
| ECAT Past Paper 01 | 1 |
Partial Fractions MCQs from the ECAT past papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · ECAT Past Paper 06 · Partial Fractions
The expression 2/[x(x + 1)] equals:
- A.2/x − 2/(x + 1)
- B.2/x + 2/(x + 1)
- C.−1/x + 1/(x + 1)
- D.1/x − 1/(x + 1)
Show answer
Answer: A. 2/x − 2/(x + 1) — 2/[x(x + 1)] = 2[1/x − 1/(x + 1)] = 2/x − 2/(x + 1).
- Q2 · ECAT Past Paper 02 · Partial Fractions
The partial fractions of 1/[x(x + 1)] are:
- A.1/x + 1/(x + 1)
- B.1/(x + 1) − 1/x
- C.1/x − 1/(x + 1)
- D.2/x − 1/(x + 1)
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Answer: C. 1/x − 1/(x + 1) — 1/[x(x + 1)] = A/x + B/(x + 1) with A = 1, B = −1.
- Q3 · ECAT Past Paper 01 · Partial Fractions
If the degree of the numerator polynomial is less than the degree of the denominator, the rational fraction is called:
- A.Proper fraction
- B.Improper fraction
- C.Both
- D.None
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Answer: A. Proper fraction — Numerator degree < denominator degree → proper rational fraction.