How is the quotient estimated in two-digit division?

Think which multiple of the divisor is closest to the dividend, adjust, then check the remainder is smaller.

How is a missing dividend found?

Use divisor times quotient plus remainder, then check that the remainder is smaller than the divisor.

How should the leftover be treated?

Read whether the question asks for full boxes or the least number needed: the first uses the quotient only, the second adds one.

P3 Maths Division with Remainders Paper 2: Intermediate

2026-11-09

Tutor Prep Guide · P3 Maths

Ten original items, each with an answer and a one-line explanation.

Direct answers　Items 1-3 are basic, 4-6 intermediate and 7-9 challenge, with item 10 as the error review. Time yourself first, then check each answer and redo what is wrong.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10
Suggested time	20
Difficulty mix	Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter	Chapter: P3 Maths: Division with Remainders Word Problems
Level	P3

02　Questions (10 items)

FoundationWhat are the quotient and remainder of 68 divided by 9?
Foundation75 pens are packed 8 to a box. How many full boxes and how many pens left?
Foundation53 people line up 6 to a team. How many full teams and how many left?
IntermediateA number divided by 6 gives a quotient of 7 and a remainder of 5. What is the number?
IntermediateThe divisor is 7, the quotient is 8 and the remainder is 4. What is the dividend?
IntermediateWhat are the quotient and remainder of 82 divided by 7?
ChallengeA 100 centimetre ribbon is cut into 9 centimetre pieces. How many pieces and how much left?
ChallengeEach car holds 5 people. What is the least number of cars needed for 42 people?
Challenge60 chocolates are shared among 8 people. How many each and how many left?
Error redoA student answered 47 divided by 6 as quotient 6 remainder 11. What is correct?

03　Answers and one-line notes

#	Answer	One-line note
1	Quotient 7, remainder 5	9 times 7 = 63 and 68 minus 63 = 5, so the quotient is 7 with remainder 5.
2	9 boxes, 3 pens left	75 divided by 8 = 9 remainder 3, and 3 pens are too few for another box.
3	8 teams, 5 people left	53 divided by 6 = 8 remainder 5, and 8 teams hold 48 people in total.
4	47	6 times 7 + 5 = 47, and 47 divided by 6 gives 7 remainder 5.
5	60	7 times 8 + 4 = 60, and the remainder 4 is smaller than the divisor 7.
6	Quotient 11, remainder 5	7 times 11 = 77 and 82 minus 77 = 5.
7	11 pieces, 1 centimetres left	100 divided by 9 = 11 remainder 1, and 1 centimetres is too short for another piece.
8	9 cars	42 divided by 5 = 8 remainder 2, so 8 cars hold 40 and 2 more people need one extra car: 9 cars.
9	7 each, 4 left	60 divided by 8 = 7 remainder 4, since 7 each uses 56 chocolates.
10	Quotient 7, remainder 5	A remainder of 11 is larger than the divisor 6, so share again: 6 times 7 = 42 and 47 minus 42 = 5.

04　What to do after marking

After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
Repeat the same item two days later; move to the next paper only when both attempts are correct.
Parents only need the answer and note columns; there is no need to explain every item.

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