How to Memorize 12 to 15 Tables Easily for Exams
The concept of Tables 12 to 15 is essential in mathematics and helps in solving real-world and exam-level problems efficiently. Learning these multiplication tables makes it much easier to work with larger numbers during board exams, competitive tests, and daily calculations. Quick recall of tables 12 to 15 saves time during calculations and supports strong mental maths skills.
Understanding Tables 12 to 15
A Tables 12 to 15 chart lists all multiplication facts for 12, 13, 14, and 15. These maths tables show how numbers multiply to form sequences, which helps students with arithmetic, fast calculations, and mental maths. Mastery of tables 12 to 15 is especially important for division, fractions, and higher-order maths. This makes revision and learning easier, whether you're at home or in class.
Tables 12 to 15 Multiplication Chart (1–20)
Here’s a helpful chart to understand tables 12 to 15 more clearly. This is ideal for revision and quick memorisation:
| n | 12 × n | 13 × n | 14 × n | 15 × n |
|---|---|---|---|---|
| 1 | 12 | 13 | 14 | 15 |
| 2 | 24 | 26 | 28 | 30 |
| 3 | 36 | 39 | 42 | 45 |
| 4 | 48 | 52 | 56 | 60 |
| 5 | 60 | 65 | 70 | 75 |
| 6 | 72 | 78 | 84 | 90 |
| 7 | 84 | 91 | 98 | 105 |
| 8 | 96 | 104 | 112 | 120 |
| 9 | 108 | 117 | 126 | 135 |
| 10 | 120 | 130 | 140 | 150 |
| 11 | 132 | 143 | 154 | 165 |
| 12 | 144 | 156 | 168 | 180 |
| 13 | 156 | 169 | 182 | 195 |
| 14 | 168 | 182 | 196 | 210 |
| 15 | 180 | 195 | 210 | 225 |
| 16 | 192 | 208 | 224 | 240 |
| 17 | 204 | 221 | 238 | 255 |
| 18 | 216 | 234 | 252 | 270 |
| 19 | 228 | 247 | 266 | 285 |
| 20 | 240 | 260 | 280 | 300 |
This tables 12 to 15 chart is perfect for quick practice and board exam revision. You can print or view this on any device for easy learning.
Tables 12 to 15 in Words
Sometimes, students get confused when writing table values in words. Here are some key entries for tables 12 to 15 written in clear words:
| Multiplication | In Words |
|---|---|
| 12 × 6 = 72 | Twelve times six is seventy-two |
| 13 × 8 = 104 | Thirteen times eight is one hundred four |
| 14 × 5 = 70 | Fourteen times five is seventy |
| 15 × 12 = 180 | Fifteen times twelve is one hundred eighty |
Practising tables in both numbers and words helps improve reading skills and reduces exam stress.
How to Learn Tables 12 to 15 Fast – Tips & Tricks
- Break each table into smaller parts and memorise 5 values at a time for easier recall.
- Notice the pattern: All values in table of 12 are even; in table of 15, they end in 0 or 5.
- Practice writing and speaking the tables aloud daily.
- Create quick quizzes for yourself or friends.
- Use shortcut tricks. For example, table of 12 can be formed by (10 × n) + (2 × n).
- Try drawing the tables as colourful charts or use flashcards for fun revision.
Worked Examples – Using Tables 12 to 15
See how tables 12 to 15 are used in solving real problems:
1. If the price of a pen is ₹13, what is the cost of 7 pens?Step 2: Cost of 7 pens = 13 × 7 = ₹91
Final Answer: ₹91
2. How many students are there in 5 rows if each row has 15 students?
Step 2: Total students = 15 × 5 = 75
Final Answer: 75 students
Practice Problems – Test Yourself
- What is 14 × 9? Write the answer in words.
- List the first 5 values of table of 13.
- If one cake costs ₹12, how much do 8 cakes cost?
- Which value is common in tables 12 and 15 between 1 and 20?
Common Mistakes to Avoid
- Mixing up table values, especially between 13, 14, and 15 because they are consecutive.
- Writing numbers in words incorrectly, for example, 126 as “one hundred twenty-six,” not “one twenty six.”
- Skipping steps – always write and check the multiplication process.
Printable & Visual Resources
You can download, print, or screenshot the above tables 12 to 15 chart for quick revision. This makes it easy to revise whenever you need. Vedantu offers revision charts and downloadable PDFs for convenience.
Real-World Applications
Understanding tables 12 to 15 helps in buying items (like 13 notebooks), sharing equally (for division/fractions), and quickly solving competitive exam questions. More practice builds confidence for Olympiads and board exams. Vedantu shows how quick maths tables apply to everyday life and classroom success.
Related Maths Topics for More Practice
- Tables 2 to 20 – Master all basics for exams
- Table of 12 – For focused practice on 12
- Table of 13
- Table of 14
- Table of 15
- Tables 1 to 100 – Reference for advanced exams
- Multiplication – Understand fundamentals behind tables
- Maths Tricks – Learn multiplication shortcuts
- Tables 11 to 30 – For extended table coverage
- Arithmetic – Broader concepts of calculations
We explored the idea of tables 12 to 15, how to apply them, solve problems, and see their importance in maths exams and life. Practice more tables on Vedantu and build strong confidence for all calculations!
FAQs on Tables 12 to 15: Multiplication Charts, Tips & Free PDF
1. What are tables 12 to 15?
Tables 12 to 15 are **multiplication tables** that list the products of the numbers 12, 13, 14, and 15 multiplied by numbers 1 through 20. They are essential for strengthening a student's understanding of **arithmetic multiplication**, helping in faster calculations and improving mental math skills as per the **CBSE and ICSE syllabus**.
2. How to learn tables 12 to 15 quickly?
To learn tables 12 to 15 quickly, students can use simple **mnemonic tricks**, repeated practice, and visual aids like **charts and printable PDFs**. Breaking down tables into smaller parts, practising skip counting, and using **real-life examples** also boost memorization efficiency. Consistent revision before exams ensures better recall.
3. Can I get printable tables 12 to 15 charts?
Yes, printable charts for tables 12 to 15 are available and can be downloaded as **PDFs or image files**. These charts are designed for easy reading on mobile and desktop, aiding students in quick revision at home or on the go. Vedantu provides free printable resources aligned with the latest syllabus.
4. In which table do 15 and 48 come?
The number 15 appears as a product in the **table of 3** (3 × 5 = 15) and also as a multiplier in tables 12 to 15. The number 48 appears in the **table of 12** (12 × 4 = 48). Understanding the placement of such numbers across tables helps in recognizing **multiplication patterns** and improves accuracy.
5. How to write multiplication tables in words?
Writing multiplication tables in words involves spelling out the products clearly. For example, 12 × 3 = 36 becomes "**twelve times three equals thirty-six**." This practice aids in better comprehension and avoids confusion, especially when learning tables 12 to 15, as these involve larger numbers that are common in **board exam preparations**.
6. What is 12 × 15?
12 multiplied by 15 equals 180. Written mathematically as 12 × 15 = 180. This is a key fact students should remember in the **table of 12 and 15** for quick calculations and solving arithmetic problems.
7. Why do some students confuse table of 14 with 15?
Students often confuse the tables of 14 and 15 due to their proximity in value and similar multiplication patterns. Both tables have multiples close in number, which can cause mix-ups. Using **visual charts**, practising one table fully before the other, and learning **unique number patterns** for each table helps reduce this confusion.
8. Why should I memorize tables beyond 10 for exams?
Memorizing tables beyond 10, including 12 to 15, is important as many **school exams, Olympiads, and entrance tests** include problems requiring knowledge of higher tables. It strengthens **numerical fluency**, enables faster problem-solving, and aids in understanding more complex concepts like **division and fractions**.
9. Is there a shortcut for remembering mid-values in table 13?
Yes, a useful shortcut for table 13 is to multiply 10 times the number and then add 3 times the number. For example, for 13 × 7: (10 × 7) + (3 × 7) = 70 + 21 = 91. This method helps in quick mental calculation and improves accuracy when learning **tables 12 to 15**.
10. Why is it hard to write big table values in words?
Writing big table values in words can be difficult because students may not be fully familiar with the spelling of larger numbers, especially those above 100. Practice and using **number-to-word charts** for multiples in tables 12 to 15 can improve confidence and reduce errors in exams.
11. Why do tables 12 to 15 help with division and fractions?
Tables 12 to 15 support division and fraction problems by providing a solid base for recognizing multiples and factors quickly. Knowing these tables helps in simplifying fractions, performing long division, and solving related arithmetic problems efficiently, which is integral to the **CBSE and ICSE curriculum**.
12. What’s the trick to checking mistakes in multiplication quickly?
A common trick to check mistakes quickly is to use the **digit sum method** or casting out nines. By adding the digits of the factors and product and verifying their remainder modulo 9, students can spot calculation errors. This technique is handy for tables 12 to 15 where numbers are larger and prone to mistakes during exams.
