Question 3 of 42beginner🔍 AnalyzeShort Answer2 marks

What patterns do you see in this table?

Times - 5Times - 15
1×5=51 \times 5 = 51×15=151 \times 15 = 15
2×5=102 \times 5 = 102×15=302 \times 15 = 30
3×5=153 \times 5 = 153×15=453 \times 15 = 45
4 \times 5 = \\_\\_\\_\\_\\_4 \times 15 = \\_\\_\\_\\_\\_
5 \times 5 = \\_\\_\\_\\_\\_5 \times 15 = \\_\\_\\_\\_\\_
6 \times 5 = \\_\\_\\_\\_\\_6 \times 15 = \\_\\_\\_\\_\\_
7 \times 5 = \\_\\_\\_\\_\\_7 \times 15 = \\_\\_\\_\\_\\_
8 \times 5 = \\_\\_\\_\\_\\_8 \times 15 = \\_\\_\\_\\_\\_
9 \times 5 = \\_\\_\\_\\_\\_9 \times 15 = \\_\\_\\_\\_\\_
10 \times 5 = \\_\\_\\_\\_\\_10 \times 15 = \\_\\_\\_\\_\\_
Correct Answer

Pattern 1: Each product increases by 15 from the previous one.

Pattern 2: The products end in digits 5 or 0 alternately (15, 30, 45, 60, 75...).

Pattern 3: All products are multiples of 5.

Pattern 4: The tens digit follows a pattern: 1, 3, 4, 6, 7, 9, 10, 12, 13, 15.

Exercise: Constructing Tables | Q: 6 | (Page Page 3)
For More Understanding

Explanation

The chapter encourages students to observe patterns in multiplication tables. The times-15 table shows that products increase by 15 each time, alternate between ending in 5 and 0, and are all divisible by 5.

Solution Steps

  1. Observe that each product increases by 15 from the previous one.

  2. Notice the products end in digits 5 or 0 alternately.

  3. Identify that all products are multiples of 5.

  4. Track the tens digit pattern: 1, 3, 4, 6, 7, 9, 10, 12, 13, 15.

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