Percentage shortcuts that save time in numerical reasoning tests

By Marin Devereux·5 min read·

You do not need to be fast at maths to ace percentage questions. You need three shortcuts (build from 10%, reverse via decimals, sanity-check the result) and a week of daily drills. That turns arithmetic into recognition.

Percentages dominate numerical reasoning because they are easy to ask and hard to do fast under stress. Your goal is not to become a mental maths wizard. Your goal is to memorise a few repeatable shortcuts that turn arithmetic into recognition.

Shortcut set A: build from 10%

  • 10% = move the decimal one place (£420 → £42).
  • 5% = half of 10%.
  • 1% = 10% ÷ 10.

Then compose: 15% = 10% + 5%, 12% = 10% + 2%, 35% = 10% × 3 + 5%. You almost never need to compute a percentage from scratch.

Shortcut set B: reverse percentages

If £84 is 70% of X, then X = 84 / 0.70 = 120. The fast habit is to convert the percent to a decimal immediately. Do not divide by 70 — divide by 0.70. That single change removes half the arithmetic errors people make on reverse percentages.

Example
£126 is 84% of the original price. What was the original price?

Original = 126 / 0.84 = 150. Sanity check: 84% is close to 80%, and 126 / 0.8 = 157.5, so ~150 passes the smell test.

Shortcut set C: sanity checks

Before picking an option, ask:

  • “If it is an increase, is the result bigger than the original?”
  • “If it is 20%, is it close to one-fifth?”
  • “If it is a reduction, did I subtract from the correct base?”
The 5-second sanity habit
After every percentage answer, spend one heartbeat asking: “does this number feel right?” It catches 70% of arithmetic slips before they cost you a mark.

A 7-day drill that actually works

Set a timer for 2 minutes and do 20 calculations:

  • 10%, 5%, 1%, 15%, 25% of random numbers between 40 and 800.
  • Repeat daily for 7 days.

You will notice real speed improvements by day 4 — not because your brain is faster, but because recognition has replaced computation.

Drill percentages on forge

Timed percentage drills and mixed numerical sets, with one-line diagnoses on every wrong answer.

See what forge offers