Acumen Logic®Drill walkthrough · Percentages & Percentage Change
One drill, start to finish.
This is the free sample drill, the same one that sits on the platform. Five units, 15 questions, one method, about 18 minutes. This walkthrough uses fresh questions in the drill's own format; the platform's questions are not reproduced here.
Unit 1 of 5 · Learn
The method, before any question.
A short lesson: the idea, a callout, a worked table. No questions yet.
Change ↔ multiplier.
Every percentage change is a multiplier. Up 20% is × 1.20. Down 20% is × 0.80. Going forward, you multiply. Going backward, to find the original, you divide by the same multiplier.
| Change | Multiplier |
|---|---|
| +20% | 1.20 |
| −20% | 0.80 |
| −15% | 0.85 |
| +7.5% | 1.075 |
Then a worked example, before any question.
Facts
4 lesson screens in this drill.
4 to 7 screens per drill, one idea per screen. Reading, not answering.
Unit 2 of 5 · See It
One example, taken apart.
A stepped worked example. At one or two steps you choose what to do next and see why each choice is right or wrong.
3 steps
Watch the method, then choose.
Each step is shown in order. At one step you pick the operation; the example then finishes the working.
Name what happened
Revenue falls 15%. The change is a fall, so the new figure is smaller. The multiplier that applies it must be less than 1.
Pick the operation
Revenue falls 15%. Which operation gives the new figure from any starting value?
Apply it once
New figure = start × 0.85. If revenue started at £200, the new figure is £170.
- Start: £200
- Fall of 15% → × 0.85
- £200 × 0.85 = £170
Unit 3 of 5 · Try It
Four questions, no clock, full feedback.
A hint if you want one. Get one wrong and three panels open: what caught you, the method, and one line to remember.
A tax rate rises from 5% to 7%. By what percentage did the rate rise?
What caught you % vs percentage-point confusion
Mixing up an absolute change in percentage points with a relative percentage change. "By what percentage" is relative: change divided by the start.
Step-by-step method
- Change: 7 − 5 = 2 percentage points
- Start value: 5
- Relative: 2 ÷ 5 = 40%
Remember
'Percentage points' = subtract. 'Per cent' = divide by the start.
The panels light up when you answer. Get it right and only the method and reminder show.
Unit 4 of 5 · Drill It
Seven questions, time recorded.
No countdown. The time you take is recorded, so afterwards you can see which slipped: the method or the pace.
What is recorded
Two numbers, not one.
Right or wrong, and seconds taken. Feedback after each question.
A price is cut by 20%, then by a further 20%, and is now £1,920. What was the original price?
- Two cuts: 0.8 × 0.8 = 0.64
- 1,920 ÷ 0.64 = 3,000
Unit 5 of 5 · Beat the Clock
Four questions against a target.
70 seconds per question in this drill. Running over flags the answer; it does not end it.
£240 rises by 15%. New value?
Then what?
Speed becomes automatic.
Running over flags the answer; it does not end it. The question stays answerable.
Then what?
The drill is complete when all five units are complete.
Each trap it covers is tracked until you get it right three times in a row. This drill covers 5 named traps. This walkthrough uses fresh questions in the drill's own format; the platform's questions are not reproduced here.
Next
Then sit the Benchmark.
The analytics page recommends the next drill. The Prove step is a replica assessment in the format your target employer uses.