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The following real numbers have decimal expansions as given below. In each case,
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1
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837
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March 30, 2019
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Write down the decimal expansions of those rational numbers in the question 1,
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1
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1267
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March 30, 2019
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Without actually performing the long division, state whether the following rational numbers
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1
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3383
|
March 30, 2019
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Prove that the following are irrational
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1
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1169
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March 30, 2019
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Show that 3 + √5 is irrational
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1
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373
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March 30, 2019
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Prove that √5 is irrational
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1
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695
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March 30, 2019
|
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There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field,
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1
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662
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March 30, 2019
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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
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1
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1020
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March 30, 2019
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Check whether 6n can end with the digit 0 for any natural number n
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1
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2452
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March 30, 2019
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Given that HCF (306, 657) = 9, find LCM (306, 657)
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1
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4294
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March 30, 2019
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Find the LCM and HCF of the following integers by applying the prime factorisation method: (i) 12, 15 and 21
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1
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2593
|
March 30, 2019
|
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Find the LCM and HCF of the following pairs of integers and verify that LCM x HCF = product of two numbers,
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1
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2435
|
March 30, 2019
|
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Express each number as a product of its prime factors: (i) 140
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1
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7030
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March 30, 2019
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Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8
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1
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1333
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March 30, 2019
|
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Use Euclid’s division lemma to show that the square of any positive integer is either of the form
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1
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2220
|
March 30, 2019
|
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An army contingent of 616 members is to march behind an army band of 32 members in a parade
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0
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549
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March 30, 2019
|
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Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer
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1
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2038
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March 30, 2019
|
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Use Euclid’s Division Algorithm to find the HCF of: (i) 135 and 225
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1
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3834
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March 30, 2019
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Which of the following statements is NOT true for all real numbers a and b?
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0
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2932
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March 20, 2018
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