Past Paper MCQs (2022–2026) + 2027 Prep

Extracted from the FPSC MPT booklets (2022, 2023 Special, 2024, 2025, 2026). This page covers the quantitative / math portion of the "General Abilities" section. The logic-puzzle portion lives on the Analytical / Reasoning page.

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How to use this section: (1) learn the rules in M.1, (2) read each year's questions with worked solutions in M.2–M.6, (3) test yourself with M.7, (4) finish with the repeated-concept analysis in M.8.

📚 Pages (click to open)

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🗂️ What each year looks like

• 2022: no official key — opening block of algebra and exponent items plus geometry vocabulary (Q100–108).
• 2023 Special: official key — standard form, ratio, percentages, ages, simple interest, averages, mixtures.
• 2024: no official key — exponents, train speed, work and sharing items; quadratic word problems (Q96–100).
• 2025: official key with worked notes — reuses 2022 items; two answers were mis-keyed by FPSC.
• 2026: official key — reuses the 2024 opening block, then 35 new items on algebra, geometry, sets, probability and word problems.

⚠️ Reading the answers correctly

• ✅ Answer = verified by working in these pages.
• ⚠️ = the answer marked in the earlier extraction does not match the working; check the printed question in the booklet. The method shown is what the exam tests.
• 🔎 = the extraction has no full question text, so only the method and the official answer are given.
• Trust the mathematics, not only the key: FPSC's 2025 key was wrong for $\sqrt{-25}$ and for $x^{\frac12}\times x^{-\frac12}$.

⚡ Ten rules to memorise first

$$\text{Original}=\frac{R}{1-\frac{a}{100}}\qquad\qquad \text{Share}=\frac{a}{a+b}\times T$$ $$a^{m}a^{n}=a^{m+n},\quad a^{0}=1,\quad a^{\frac{m}{n}}=\left(\sqrt[n]{a}\right)^{m}$$ $$|A\cup B|=|A|+|B|-|A\cap B|\qquad v=\frac{L_{\text{train}}+L_{\text{platform}}}{t}$$ $$SI=\frac{PRT}{100},\qquad M_{1}D_{1}=M_{2}D_{2},\qquad a^{2}+b^{2}=(a+b)^{2}-2ab$$

✅ Revision checklist

• M.1 rules memorised (percent, ratio, ages, mixtures, exponents)
• Re-solved every ⚠️ item from the booklet wording
• Practised M.7 sets A–F under 60 seconds per question
• Read the repeated-concept analysis (M.8) and the 7-day plan
• Timed mock: M.5 and M.6 in 40 minutes