|
The following real numbers have decimal expansions as given below. In each case,
|
|
1
|
830
|
March 30, 2019
|
|
Write down the decimal expansions of those rational numbers in the question 1,
|
|
1
|
1260
|
March 30, 2019
|
|
Without actually performing the long division, state whether the following rational numbers
|
|
1
|
3288
|
March 30, 2019
|
|
Prove that the following are irrational
|
|
1
|
1149
|
March 30, 2019
|
|
Show that 3 + √5 is irrational
|
|
1
|
371
|
March 30, 2019
|
|
Prove that √5 is irrational
|
|
1
|
684
|
March 30, 2019
|
|
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field,
|
|
1
|
655
|
March 30, 2019
|
|
Explain why 7 x 11 x 13 + 13 and 7 x 6 x 5 x 4 x 3 x 2 x 1 + 5 are composite numbers
|
|
1
|
967
|
March 30, 2019
|
|
Check whether 6n can end with the digit 0 for any natural number n
|
|
1
|
2378
|
March 30, 2019
|
|
Given that HCF (306, 657) = 9, find LCM (306, 657)
|
|
1
|
4171
|
March 30, 2019
|
|
Find the LCM and HCF of the following integers by applying the prime factorisation method: (i) 12, 15 and 21
|
|
1
|
2477
|
March 30, 2019
|
|
Find the LCM and HCF of the following pairs of integers and verify that LCM x HCF = product of two numbers,
|
|
1
|
2249
|
March 30, 2019
|
|
Express each number as a product of its prime factors: (i) 140
|
|
1
|
6382
|
March 30, 2019
|
|
Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8
|
|
1
|
1322
|
March 30, 2019
|
|
Use Euclid’s division lemma to show that the square of any positive integer is either of the form
|
|
1
|
2190
|
March 30, 2019
|
|
An army contingent of 616 members is to march behind an army band of 32 members in a parade
|
|
0
|
544
|
March 30, 2019
|
|
Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer
|
|
1
|
2028
|
March 30, 2019
|
|
Use Euclid’s Division Algorithm to find the HCF of: (i) 135 and 225
|
|
1
|
3756
|
March 30, 2019
|
|
Which of the following statements is NOT true for all real numbers a and b?
|
|
0
|
2924
|
March 20, 2018
|