Mental Math · Level Up · L4

Percent of a number.

Percents are built from easy building blocks. 10% is just ÷10, 5% is half of that, 1% is ÷100. Find a friendly block and scale it — 15% of 240 is 10% (24) plus 5% (12) = 36.

01 / THE METHOD

How to think about it.

Watch the method

Build it from 5%

15% of 240: 5% of 240 is 240 ÷ 20 = 12. 15% is three of those, so 12 × 3 = 36.

1 / 2
15% of 24015\%\ \text{of}\ 240 = ?
1
240÷20=12240 \div 20 = 12

5% of 240 is 240 ÷ 20.

2
12×3=3612 \times 3 = 36

15% is 3 lots of 5%.

02 / YOUR TURN

Practice until it feels easy.

Your turn

Solve it in your head.

Use the method, then check. Stuck? Reveal the steps.

streak 0
best 0
=
— / WHY IT WORKS

The idea underneath.

10%, 5%, 1% blocks

10% of a number is that number ÷ 10. 5% is half of 10%. 1% is ÷ 100. Any 'nice' percent is a few blocks added: 35% = 10%+10%+10%+5%.

Why it works

Percent means 'per hundred' — slice the number into hundredths, then take as many as you need.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

10% of 480

1

÷10

480 ÷ 10 = 48.

EX 2medium

15% of 240

1

10%

240 ÷ 10 = 24.

2

5%

half of 24 = 12.

3

Add

24 + 12 = 36.

EX 3hard

35% of 280

1

10%

28, so 30% = 84.

2

5%

half of 28 = 14.

3

Add

84 + 14 = 98.

04 / COMMON TRAPS

Where students slip.

Trap

Thinking 10% means ÷ 100.

Fix

10% = ÷ 10. It's 1% that means ÷ 100.

Trap

Forgetting to scale the block.

Fix

Finding 5% isn't the answer for 15% — you need three of them.

05 / QUIZ

Test yourself.

The Test

12 problems across three tiers. Auto-graded on submit. Hints and a full walkthrough on every question. Your work is saved on this device — sign in to keep it across devices.

0/12Answered
How to answerType just the value. Formatting won't trip you up — we ignore spaces, capital letters, commas, and subscript style, so t₁ = 5, d = 3 and t1=5,d=3 both count. For a list of numbers, separate them with commas (e.g. 3, 10, 17).
Core

Core (4)

C1

15% of 240 = ?

Need a hint?
  • Find 10% (÷10) or 5% (÷20) first.
  • Then scale that block up to the percent you need.
C2

20% of 300 = ?

Need a hint?
  • Find 10% (÷10) or 5% (÷20) first.
  • Then scale that block up to the percent you need.
C3

25% of 160 = ?

Need a hint?
  • Find 10% (÷10) or 5% (÷20) first.
  • Then scale that block up to the percent you need.
C4

10% of 480 = ?

Need a hint?
  • Find 10% (÷10) or 5% (÷20) first.
  • Then scale that block up to the percent you need.
Apply

Apply (4)

A1

30% of 220 = ?

Need a hint?
  • Find 10% (÷10) or 5% (÷20) first.
  • Then scale that block up to the percent you need.
A2

40% of 200 = ?

Need a hint?
  • Find 10% (÷10) or 5% (÷20) first.
  • Then scale that block up to the percent you need.
A3

45% of 200 = ?

Need a hint?
  • Find 10% (÷10) or 5% (÷20) first.
  • Then scale that block up to the percent you need.
A4

5% of 360 = ?

Need a hint?
  • Find 10% (÷10) or 5% (÷20) first.
  • Then scale that block up to the percent you need.
Extension

Extension (4)

E1

35% of 280 = ?

Need a hint?
  • Find 10% (÷10) or 5% (÷20) first.
  • Then scale that block up to the percent you need.
E2

50% of 460 = ?

Need a hint?
  • Find 10% (÷10) or 5% (÷20) first.
  • Then scale that block up to the percent you need.
E3

15% of 320 = ?

Need a hint?
  • Find 10% (÷10) or 5% (÷20) first.
  • Then scale that block up to the percent you need.
E4

25% of 440 = ?

Need a hint?
  • Find 10% (÷10) or 5% (÷20) first.
  • Then scale that block up to the percent you need.