Students can Download Class 8 Maths Chapter 1 Playing with Numbers Ex 1.5 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and to clear all their doubts, score well in final exams.
Karnataka State Syllabus Class 8 Maths Chapter 1 Playing with Numbers Ex 1.5
Question 1.
Using the numbers from 5 to 13 construct a 3 × 3 magic square. What is the magic sum here? What relation is there between the magic sum and the number in the central cell?
Answer:
Magic sum is 27
Central number is 9
We have ⇒ 27 = 3 × 9
Magic sum is 3 times the central number.
| 12 | 5 | 10 |
| 7 | 9 | 11 |
| 8 | 13 | 6 |
Question 2.
Using the numbers from 9 to 17 construct a 3 × 3 magic square. What is the Magic sum here? What relation is there between the magic sum and the number in the central cell?
| 16 | 9 | 14 |
| 11 | 13 | 15 |
| 12 | 17 | 10 |
Answer:
The magic sum is 39
Central Number is 13
we have ⇒ 39 = 3 × 13
The magic sum is 3 times the central number
Question 3.
Starting with the middle cell in the bottom row of the square and using numbers from 1 to 9 construct a 3 × 3 magic square.
Answer:
| 2 | 9 | 4 |
| 7 | 5 | 3 |
| 6 | 1 | 8 |
Question 4.
Construct a 3 × 3 magic square using all odd numbers from 1 to 17.
Answer:
| 15 | 1 | 11 |
| 5 | 9 | 13 |
| 7 | 17 | 3 |
Question 5.
Construct a 5 × 5 magic square using all even numbers from 1 to 50.
Answer:
| 34 | 48 | 2 | 16 | 30 |
| 46 | 10 | 14 | 28 | 32 |
| 8 | 12 | 26 | 40 | 44 |
| 20 | 24 | 38 | 42 | 6 |
| 22 | 36 | 50 | 4 | 18 |