Calculation speed in Quant depends on what you have memorized. If the squares 1 to 30, cubes 1 to 15 and the fraction to percentage conversion table are on the tip of your tongue, Approximation, Simplification, Data Interpretation and Number Series all become faster. This chart is useful for SBI PO, IBPS PO, IBPS Clerk, RBI Assistant and SSC aspirants. Scroll to the end to download the free PDF.
Squares 1 to 30 (Square Table for Bank Exams)
| n | n² | n | n² | n | n² |
|---|---|---|---|---|---|
| 1 | 1 | 11 | 121 | 21 | 441 |
| 2 | 4 | 12 | 144 | 22 | 484 |
| 3 | 9 | 13 | 169 | 23 | 529 |
| 4 | 16 | 14 | 196 | 24 | 576 |
| 5 | 25 | 15 | 225 | 25 | 625 |
| 6 | 36 | 16 | 256 | 26 | 676 |
| 7 | 49 | 17 | 289 | 27 | 729 |
| 8 | 64 | 18 | 324 | 28 | 784 |
| 9 | 81 | 19 | 361 | 29 | 841 |
| 10 | 100 | 20 | 400 | 30 | 900 |
Trick: Square of numbers ending in 5
Multiply the front digits by the next number, then attach 25.
- 35² → 3 × 4 = 12, so 1225
- 65² → 6 × 7 = 42, so 4225
- 85² → 8 × 9 = 72, so 7225
Trick: Squares from 31 to 40
Use (30 + b)².
- 34² = 900 + 240 + 16 = 1156
Cubes 1 to 15 (Cube Table for Bank Exams)
| n | n³ | n | n³ | n | n³ |
|---|---|---|---|---|---|
| 1 | 1 | 6 | 216 | 11 | 1331 |
| 2 | 8 | 7 | 343 | 12 | 1728 |
| 3 | 27 | 8 | 512 | 13 | 2197 |
| 4 | 64 | 9 | 729 | 14 | 2744 |
| 5 | 125 | 10 | 1000 | 15 | 3375 |
Cube Root Trick: Find the Cube Root in 5 Seconds
The last digit of a perfect cube decides the last digit of its cube root:
| Cube ends in | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 0 |
|---|---|---|---|---|---|---|---|---|---|---|
| Root ends in | 1 | 8 | 7 | 4 | 5 | 6 | 3 | 2 | 9 | 0 |
Example: ∛4913
- Last digit is 3, so the root ends in 7.
- Drop the last three digits, leaving 4. It lies between 1³ = 1 and 2³ = 8, so take the smaller one: 1.
- Answer: 17
Fraction to Percentage Conversion Table for Bank Exams
This is the most useful table for Approximation, DI and Percentage questions.
| Fraction | % | Fraction | % |
|---|---|---|---|
| 1/2 | 50 | 1/11 | 9.09 |
| 1/3 | 33.33 | 1/12 | 8.33 |
| 1/4 | 25 | 1/13 | 7.69 |
| 1/5 | 20 | 1/14 | 7.14 |
| 1/6 | 16.67 | 1/15 | 6.67 |
| 1/7 | 14.28 | 1/16 | 6.25 |
| 1/8 | 12.5 | 1/17 | 5.88 |
| 1/9 | 11.11 | 1/18 | 5.55 |
| 1/10 | 10 | 1/19 | 5.26 |
| 2/3 | 66.67 | 1/20 | 5 |
| 3/4 | 75 | 3/8 | 37.5 |
| 5/8 | 62.5 | 7/8 | 87.5 |
Note: Values are approximate. In the exam, match them with the closest option.
Multiples of 1/7 (asked often in Mains DI)
| 1/7 | 2/7 | 3/7 | 4/7 | 5/7 | 6/7 |
|---|---|---|---|---|---|
| 14.28 | 28.57 | 42.85 | 57.14 | 71.42 | 85.71 |
How to remember: For a fraction like 3/8, just multiply: 3 × 12.5 = 37.5%. You only need to memorize the unit fractions.
How to Memorize Squares, Cubes and Fractions in 7 Days
- Day 1 to 2: Squares 1 to 30. Write them from memory twice daily.
- Day 3: Cubes 1 to 15 and the cube root last-digit table.
- Day 4 to 5: The fraction to percentage table. Ask yourself “1/13?” at random times.
- Day 6: Mixed quiz with a timer.
- Day 7: Revise everything and solve the practice set below.
Practice Set (10 seconds each)
- 35² = ?
- 17³ = ?
- ∛2744 = ?
- 3/8 of 640 = ?
- 62.5% of 960 = ?
Answers: 1) 1225 2) 4913 3) 14 4) 240 5) 600
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FAQs
Till which number should I learn squares for bank exams?
Squares from 1 to 30 are enough for most questions in SBI PO and IBPS PO. Learning up to 40 gives you extra speed in Approximation.
Till which number should I learn cubes?
Cubes from 1 to 15 cover almost every cube and cube-root question asked in Prelims and Mains.
Is this chart useful for IBPS Clerk, RBI Assistant and SSC?
Yes. Calculation-based sections in all these exams use the same squares, cubes and fraction-percentage values.
Which fractions are asked most in Data Interpretation?
1/7, 1/8, 1/9, 1/11, 1/12, 1/13 and their multiples, because they appear in percentage and ratio calculations.
Download the Free PDF
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