Percentage shortcuts that save time in numerical reasoning tests
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.
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?”
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