alleryStart learning →The number 47*3 has a missing digit *. Which digit makes it a multiple of 9?
- 4
- 2
- 6
- 8
Show answer and solution
Correct answer: A. 4
The digits 4, 7 and 3 add to 14, and 14 + 4 = 18 is a multiple of 9, so the missing digit is 4.
Olympiad (Class 7) Factors and Multiples — practice questions
Explore 50 free Factors and Multiples questions in Olympiad (Class 7) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Factors and Multiples with Quill →Factors and Multiples questions and exercises with answers
Showing questions 1–30 of 50.
The number 47*3 has a missing digit *. Which digit makes it a multiple of 9?Read the answer and worked solution →Which digit can NOT replace * in the number 82*4 if the number must be divisible by 3?Read the answer and worked solution →Which number below leaves no remainder when divided by 4?Read the answer and worked solution →Which of these numbers is a multiple of 5 but not a multiple of 10?Read the answer and worked solution →Which number below is a multiple of 6?Read the answer and worked solution →If 2 and 3 both divide a number, which of these must divide it too?Read the answer and worked solution →A number is divisible by 6. Which statement about it is NOT necessarily true?Read the answer and worked solution →The digits of 4,567 add to 22. What remainder does 4,567 leave when divided by 9?Read the answer and worked solution →Choose the number that 11 divides exactly.Read the answer and worked solution →Subtracting twice the last digit from the number formed by the remaining digits of 574 gives which number?Read the answer and worked solution →Which number is a divisor of every whole number?Read the answer and worked solution →How many divisors does the number 54 have?Read the answer and worked solution →Listing divisors, 54 has 1, 2, 3, 6, 9, 18, 27, 54 and 24 has 1, 2, 3, 4, 6, 8, 12, 24. How many divisors do 54 and 24 share?Read the answer and worked solution →Find the largest number that goes into 36 and into 60 without a remainder.Read the answer and worked solution →Which pair of numbers is coprime?Read the answer and worked solution →What is the highest common factor of any two consecutive whole numbers such as 14 and 15?Read the answer and worked solution →The HCF of two numbers is 6 and their LCM is 72. If one number is 18, what is the other number?Read the answer and worked solution →Use the prime factors 2x2x2x2x3 (for 48) and 2x2x3x3x5 (for 180) to find their lowest common multiple.Read the answer and worked solution →Find the highest common factor of 48 and 180 from their prime factors 2x2x2x2x3 and 2x2x3x3x5.Read the answer and worked solution →Replace the larger of 48 and 18 by their difference and repeat until both numbers are equal. What is the equal value?Read the answer and worked solution →Start with 45 and 30. Replace the larger by the difference until both are equal. What is that value?Read the answer and worked solution →Ropes of 84 cm and 120 cm are cut into equal longest pieces with none left. How long is each piece?Read the answer and worked solution →Two bells ring together at 9:00, one every 12 minutes and one every 18. When do they next ring together?Read the answer and worked solution →Lights blink every 6, 8 and 12 seconds, together once. After how many seconds do they blink together again?Read the answer and worked solution →Find the least number that 15, 20 and 25 all divide exactly.Read the answer and worked solution →A 3-digit number divisible by 12 is as large as possible. Find it.Read the answer and worked solution →Find the least 4-digit multiple of 18.Read the answer and worked solution →What is the smallest number that leaves remainder 5 when divided by 8 and also when divided by 12?Read the answer and worked solution →Dividing either 61 or 96 by a certain largest number leaves remainder 5. Find that number.Read the answer and worked solution →A 24 m by 18 m floor is covered with the largest identical square tiles. How many tiles are used?Read the answer and worked solution →
Worked practice questions
Which digit can NOT replace * in the number 82*4 if the number must be divisible by 3?
- 1
- 4
- 5
- 7
Show answer and solution
Correct answer: C. 5
8 + 2 + 4 = 14, so * must leave a digit sum that is a multiple of 3. The digits 1, 4 and 7 give 15, 18 and 21, but 5 gives 19, which is not.
Which number below leaves no remainder when divided by 4?
- 3,516
- 3,518
- 3,522
- 3,530
Show answer and solution
Correct answer: A. 3,516
Only the last two digits matter for 4, and 16 is a multiple of 4, while 18, 22 and 30 are not.
How to practise
- Choose a Factors and Multiples question and try to work out your answer.
- Open the question to check the correct answer and read its worked solution.
- Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.
Put it into practice
Continue with Factors and Multiples practice for Olympiad (Class 7). Read explanations as you go. No signup form needed to start.
Practise Factors and Multiples →