Question 1: Calculate the remainder when 45 is divided by 4. Show your working.

Answer: 1

Question 2: Determine the quotient and remainder when 97 is divided by 8.

Answer: Quotient: 12, Remainder: 1

Question 3: What is the remainder when 123 is divided by 10?

Answer: 3

Question 4: Divide 56 by 9 and express the result as quotient and remainder.

Answer: Quotient: 6, Remainder: 2

Question 5: A number divided by 6 gives a quotient of 7 and a remainder of 4. Find the number.

Answer: 46

Question 6: Explain why the remainder when dividing an even number by 3 can only be 0 or 2.

Answer: Because even numbers are divisible by 2, and when divided by 3, they leave remainders of 0 or 2 due to their parity and divisibility properties.

Question 7: A bag contains 53 candies. If you pack them equally into boxes holding 5 candies each, how many candies will be left over?

Answer: 3

Question 8: Construct a division problem that results in a quotient of 8 and a remainder of 3.

Answer: Number: 67 ÷ 8

Question 9: Divide 144 by 12 and state the quotient and remainder.

Answer: Quotient: 12, Remainder: 0

Question 10: A student divides a number by 5 and gets a quotient of 9 with a remainder of 4. What is the original number?

Answer: 49

Question 11: Identify and correct the mistake: 'When dividing 50 by 6, the student says the remainder is 4 because 6 times 8 is 48, and 50 minus 48 is 2.'

Answer: The mistake is in the calculation of the remainder. 50 divided by 6 is 8 with a remainder of 2, not 4. The student incorrectly thought the remainder was 4 because 6 times 8 is 48, but 50 minus 48 is 2.