Number & Arithmetic — practice questions, page 9
Browse practice questions
QuestionTwo positive whole numbers are multiplied together, and the product turns out to be 11 more than…QuestionWhat is the smallest whole number n for which n! is a multiple of 2¹⁰?QuestionHow many of the divisors of 1800 are multiples of 12?QuestionA prime p is called a Sophie Germain prime when 2p + 1 is also prime. How many of the primes below…QuestionA number is called square-free when no perfect square bigger than 1 divides it. How many of the…QuestionHow many digits does the number 1000 need when it is written in base three?QuestionThe LCM of two whole numbers is 45 times their HCF, and the LCM and the HCF together add up to…QuestionThe odd numbers 1, 3, 5, 7, …, 99 are all multiplied together. What is the highest power of 3 that…QuestionIn how many ways can 144 be written as a product of two DIFFERENT positive whole numbers? (8 × 18…QuestionThe cube of a whole number ends in the digit 7. In which digit must the number itself end?QuestionFor how many positive whole numbers n is n² + 6 a multiple of n + 6?QuestionIn each of these sums the two numbers under the square-root signs add up to 27. Which sum is the…QuestionHow many pairs of integers (x, y), with negatives allowed, satisfy x² − y² = 45?QuestionA fraction has denominator 36 and lies strictly between 1/3 and 1/2. How many such fractions are…QuestionWritten as a fraction in its lowest terms, the recurring decimal 0.123123123… (the block 123…QuestionA fraction p/q is in its lowest terms and its decimal expansion stops after exactly 5 places.…QuestionWhat is the smallest whole number that can be divided exactly by every one of 1, 2, 3, 4, 5, 6, 7,…QuestionWhat is the HCF of 3⁵ × 5⁴ × 7² and 3³ × 5⁶ × 11?QuestionThe HCF of two whole numbers is 8. Which of these can NOT be their LCM?QuestionTwo prime numbers add up to 85. What is their product?QuestionTo decide whether 541 is prime you divide it by every prime up to its square root. What is the…Question481 is a multiple of 37, because 481 = 37 × 13. If the digits of 481 are rotated so that the…QuestionThree consecutive even numbers are multiplied together. What is the largest number that is certain…QuestionHow many of the numbers 1, 2, 3, …, 1000 contain the digit 9 exactly once?QuestionThe ten numbers 1, 11, 111, 1111, … up to the string of ten 1s are added together. What remainder…
← Previous · Page 9 of 11 · Next →