Must the rows be shifted in long multiplication?

Yes. Each new row starts one place to the left because it multiplies by tens; a missed shift is the commonest error, so check the size of the answer by estimation.

How do I check a division with a remainder?

Use divisor x quotient + remainder = dividend, and confirm the remainder is smaller than the divisor; both must hold.

P4 Maths: Long Multiplication and Division (Challenge, 10 Questions)

2026-11-08

Tutor Prep Guide · P4 Mathematics

The challenge paper asks students to work backwards from a product or quotient, verify with the inverse operation, and choose the easiest order when multiplying. All answers included.

Quick answer Answers in order: 60, 78, 2,025, 76, 98,901, 15,625, 4,608 cm², 125 sheets, 983, 2,400.

01 Paper details (check answers afterwards)

Item	Detail
Questions	10 questions
Suggested time	about 40 minutes
Difficulty mix	Challenge 10
Chapter	Chapter: P4 Maths: Long Multiplication and Division
Level	P4

02 Questions (10 items)

Challenge26 x ? = 1,560. Find the missing number.
ChallengeCalculate 2,496 / 32.
ChallengeCalculate 45 x 45.
ChallengeA number multiplied by 24 gives 1,824. Find the number.
ChallengeFind the product of the largest three-digit number and the largest two-digit number.
ChallengeCalculate 1,000,000 / 64.
ChallengeA rectangle is 128 cm long and 36 cm wide. Find its area.
Challenge5,625 sheets are split equally into 45 stacks. How many sheets per stack?
ChallengeA number divided by 36 gives quotient 27 and remainder 11. Find the number.
ChallengeCalculate 25 x 12 x 8 and say which pair is easier to multiply first.

03 Answers and one-line notes

#	Answer	One-line note
1	60	1,560 / 26 = 60 because 26 x 60 = 1,560.
2	78	32 x 78 = 2,560 – 64 = 2,496.
3	2,025	45 x 45 = 1,800 + 225 = 2,025.
4	76	1,824 / 24 = 76 because 24 x 76 = 1,824.
5	98,901	999 x 99 = 99,900 – 999 = 98,901.
6	15,625	64 x 15,625 = 1,000,000, which can be checked by halving three times from 125,000.
7	4,608 cm²	128 x 36 = 3,840 + 768 = 4,608 cm².
8	125 sheets	5,625 / 45 = 125 because 45 x 125 = 5,625.
9	983	Dividend = 36 x 27 + 11 = 972 + 11 = 983, and 11 is less than 36.
10	2,400	Multiply 25 x 8 = 200 first, then 200 x 12 = 2,400, which is faster than working left to right.

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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