Make such pictures for the following : (а) 15 pegs, thread-gap of 10 (b) 10 pegs, thread-gap of 7 Class 6

Make such pictures for the following : (а) 15 pegs, thread-gap of 10 (b) 10 pegs, thread-gap of 7 Class 6

Question 1.

Make such pictures for the following : Class 6

(а) 15 pegs, thread-gap of 10

(b) 10 pegs, thread-gap of 7

(c) 14 pegs, thread-gap of 6

(d) 8 pegs, thread-gap of 3

Solution:

Pictures can be as shown below :

[Note: Sometimes answer may not be unique.]

Question 2.

Find the prime factorisations of the following numbers: 64, 104, 105, 243, 320, 141, 1728, 729, 1024, 1331, 1000. Class 6

Solution:

64 = 2 × 2 × 2 × 2 × 2 × 2; 104 = 2 × 2 × 2 × 13; 105 = 3 × 5 × 7; 243 = 3 × 3 × 3 × 3 × 3; 320 = 2 × 2 × 2 × 2 × 2 × 2 × 5; 141 = 3 × 47; 1728 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3; 729 = 3 × 3 × 3 × 3 × 3 × 3; 1024 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2; 1331 = 11 × 11 × 11; 1000 = 2 × 2 × 2 × 5 × 5 × 5.