Can a remainder equal the divisor?

No. A remainder must be smaller than the divisor, otherwise another group could still be made.

How is division with a remainder checked?

Divisor times quotient plus remainder equals the dividend, for example 5 times 4 + 3 = 23.

How is a least-number-of-cars question handled?

Any remainder needs one more car, because the people left still need a ride.

P3 Maths Division with Remainders Paper 1: Basics

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	15
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 23 divided by 5?
Foundation17 sweets are shared equally among 5 children. How many each and how many left?
FoundationWhat are the quotient and remainder of 30 divided by 4?
Intermediate45 apples are packed 6 to a bag. How many full bags and how many left over?
IntermediateWhat are the quotient and remainder of 50 divided by 7?
Intermediate38 sheets are given out 5 at a time. How many people can be served and how many sheets remain?
ChallengeA number divided by 4 gives a quotient of 6 and a remainder of 3. What is the number?
ChallengeFind the quotient and remainder of 26 divided by 6. Is the remainder smaller than the divisor?
ChallengeEach car holds 8 people. What is the least number of cars needed for 29 people?
Error redoA student answered 19 divided by 4 as quotient 4 remainder 4. What is correct?

03　Answers and one-line notes

#	Answer	One-line note
1	Quotient 4, remainder 3	5 times 4 = 20 and 23 minus 20 = 3, so the quotient is 4 with remainder 3.
2	3 each, 2 left	17 divided by 5 = 3 remainder 2, and the 2 left over is not enough to share again.
3	Quotient 7, remainder 2	4 times 7 = 28 and 30 minus 28 = 2, so the quotient is 7 with remainder 2.
4	7 bags, 3 left over	45 divided by 6 = 7 remainder 3, so 7 full bags are filled and 3 apples are left.
5	Quotient 7, remainder 1	7 times 7 = 49 and 50 minus 49 = 1, so the quotient is 7 with remainder 1.
6	7 people, 3 sheets left	38 divided by 5 = 7 remainder 3, since 7 people take 35 sheets in total.
7	27	Multiply the divisor by the quotient and add the remainder: 4 times 6 + 3 = 27.
8	Quotient 4, remainder 2, which is smaller than 6	6 times 4 = 24 and 26 minus 24 = 2; a remainder is always smaller than the divisor.
9	4 cars	29 divided by 8 = 3 remainder 5, and the 5 people left need one more car, giving 4 cars.
10	Quotient 4, remainder 3	A remainder of 4 equals the divisor, so share again: 4 times 4 = 16 and 19 minus 16 = 3.

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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