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Mental Maths Tricks to Solve Faster in HP Competitive Exams (with Free Daily Practice)

2026-09-037 min read
Illustration titled Mental Maths Tricks for HP Exams showing the worked example 85 squared equals 7225

In HP TGT, JBT, HPPSC and Patwari exams, everyone in the room has studied the same syllabus. What separates a selection from a near-miss is often boring but decisive: how fast you do the arithmetic. A candidate who solves each quantitative question ten seconds quicker finishes a section with minutes to spare — minutes they spend on the questions others never reach.

The good news: fast calculation is a trained skill, not a talent. Below are six mental-maths shortcuts that save real time in the exam hall, followed by a simple routine to make them automatic using our free Quick Maths practice drills.

Why calculation speed decides HP exam ranks

Most HP competitive papers pack 100–180 questions into a tight window. If quantitative and reasoning questions each cost you an extra 10–15 seconds because you reach for rough work, that's several minutes lost across the paper — and the questions you skip at the end are pure marks left on the table. Speed doesn't just add marks directly; it buys you calm, and calm reduces silly mistakes.

The fix is reflex-level arithmetic: knowing the answer to 85 × 85 or 36% of 25 without writing anything down.

6 mental-maths tricks that save minutes

1. Multiply any two-digit number by 11

Add the two digits and drop the sum in the middle. 36 × 11 → 3 (3+6) 6 → 396. If the middle sum is 10+, carry it: 57 × 11 → 5 (12) 7 → 627.

2. Square any number ending in 5

Take the tens digit n, compute n × (n+1), then stick 25 on the end. 85² → 8×9 = 72 → 7225. 35² → 3×4 = 12 → 1225.

3. Percentages are reversible

x% of y = y% of x — flip whichever is easier. 36% of 25 is awkward, but 25% of 36 is just a quarter of 36 = 9. Same answer, a fraction of the effort.

4. Multiply by 5, 50, 25 using halves

×5 = ×10 then halve. ×50 = ×100 then halve. ×25 = ×100 then divide by 4. 46 × 5 → 460 / 2 = 230. 48 × 25 → 4800 / 4 = 1200.

5. Subtract by "adding up" (complements)

For 1000 − 673, don't borrow — count up: 673 → 700 (27) → 1000 (300) = 327.

6. Approximate first, refine only if needed

In "which is larger" or data-interpretation questions, round to the nearest 10 and compare. You often eliminate three options in two seconds, and only do exact maths on the last two.

Infographic of six mental-maths shortcuts for HP exams: multiply by eleven, squares ending in five, reversible percentages, multiply using halves, subtract by complements, and approximate first

Tricks are useless without reflexes — drill them daily

Reading these once won't help on exam day. The tricks only pay off when they fire automatically, under a timer. That's exactly what our free Speed Practice tool is built for:

  • Quick Maths — 60-second rapid rounds of addition, subtraction, multiplication and squares. Short, intense, and designed to build calculation reflexes, not test knowledge.
  • Custom drills — pick the exact operation, number range and difficulty. Weak at two-digit multiplication? Drill only that until it's fast.

Sign in with Google, and every drill records your accuracy and average time per question, so you can watch yourself get faster week by week.

A simple 15-minute daily routine

You don't need long sessions — you need consistent, timed reps. Try this:

MinutesWhat to doWhere
0–5Two 60-second Quick Maths rounds (warm-up)/practice/maths
5–10A custom drill on your weakest operation/practice/custom
10–15One more round, then check your accuracy + speed/practice/dashboard

Three-step 15-minute daily maths routine: five-minute warm-up drills, a five-minute custom drill on your weakest operation, then a final round with an accuracy and speed check

Keep a daily streak going. Speed compounds — the numbers you struggle with this week become automatic the next.

Track your progress, then prove it on a full paper

Once your calculation reflexes are sharp, test them under real exam conditions with a full-length Mock Test — timed, exam-style papers with instant server-graded results and solutions. It's the honest way to see whether your practice is translating into marks.

For the bigger prep picture, read How to Prepare for HP Exams, and see how the full toolkit fits together in Free HP Exam Mock Tests & Daily Speed Practice.

Start building your speed now → Launch Quick Maths Practice (free, works on your phone).

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