Number & Arithmetic — practice questions, page 10
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QuestionHow many integers n satisfy |n − 3| + |n + 2| = 5?QuestionThe recurring decimal 0.444… (the digit 4 repeating) is exactly 4/9. What is its square root?QuestionRationalise the denominator of 1/(√5 − 2).QuestionExpress 1/(√3 − √2) with a rational denominator.QuestionThe decimal expansion of 23/(2³ × 5²) terminates after how many decimal places? (answer as a number)QuestionRationalise and simplify: (√5 + √3) / (√5 − √3)QuestionAfter rationalising the denominator, what does (√7 + √3) / (√7 − √3) equal?QuestionThe recurring decimal 0.444... expressed as a fraction in lowest terms is?QuestionIf x = (√5 + 1)/(√5 − 1) and y = (√5 − 1)/(√5 + 1), find the value of x + y.QuestionIf x = 3 + 2√2, then the value of x + 1/x is:QuestionThe HCF of two numbers is 12 and their LCM is 240. If one of the numbers is 48, find the other…QuestionGiven a = 4 − √15, find the value of a + 1/a.QuestionRationalise the denominator: (√7 + √2) / (√7 − √2) equalsQuestionExpress the recurring decimal 0.474747... as a fraction in lowest terms.QuestionThe LCM of two numbers is 180 and their HCF is 12. If one number is 36, the other number is:QuestionRationalise the denominator and simplify: (√7 + √5) / (√7 − √5)QuestionThe HCF of two numbers is 9 and their LCM is 360. If one of the numbers is 45, what is the other…QuestionUsing Euclid's division algorithm, what is the HCF of 96 and 404?QuestionUsing the divisibility rule for 11, pick the number that 11 divides exactly.QuestionWhich of these is the largest fraction: 1/5, 3/5, 2/5, 4/5?QuestionWhich of these integers is the smallest: −5, 0, 3, −2?QuestionMeena cuts off 0.5 of a 0.6 m ribbon. How long is the piece she cuts, in metres? (0.6 × 0.5)QuestionWhat is the multiplicative inverse (reciprocal) of -3/7?QuestionWhich one of these numbers is irrational?QuestionWhich of the following is an irrational number?
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