Question 1: Calculate 45 ÷ 4. Write the quotient and the remainder.

Answer: 11 R1

Question 2: Find the result of dividing 96 by 7. State the quotient and the remainder.

Answer: 13 R5

Question 3: Divide 81 by 6 and write your answer as a quotient and a remainder.

Answer: 13 R3

Question 4: What is the remainder when 50 is divided by 8?

Answer: 2

Question 5: Calculate 124 ÷ 9 and write the quotient and remainder.

Answer: 13 R7

Question 6: A student says that dividing 37 by 5 gives a quotient of 7 with no remainder. Is this correct? Explain your reasoning.

Answer: No, 37 ÷ 5 = 7 R2 because 5 × 7 = 35 and 37 - 35 = 2 which is the remainder.

Question 7: If you divide 99 by 4, what is the quotient and the remainder? Show your working.

Answer: 24 R3

Question 8: A calculator shows that 67 ÷ 8 = 8.375. Is this consistent with division with remainders? Explain.

Answer: No, 8.375 is a decimal answer. In division with remainders, 67 ÷ 8 = 8 R3 because 8 × 8 = 64 and 67 - 64 = 3.

Question 9: Calculate 135 ÷ 12 and write the quotient and remainder.

Answer: 11 R3

Question 10: Construct a division problem where the quotient is 9 and the remainder is 4 when dividing a number by 5. Write the problem and solve it.

Answer: Number = 5 × 9 + 4 = 49

Question 11: Identify and correct the mistake in this student solution: '72 ÷ 8 = 9 with no remainder.'

Answer: The correct division is 72 ÷ 8 = 9 R0, which is correct. However, if the student claimed no remainder in some other division, check the division; in 72 ÷ 8, the remainder is zero. Alternatively, if the mistake is in their interpretation, clarify that if a division problem results in a zero remainder, it is correct; otherwise, identify the mistake accordingly.