Why shift the second row one place left?

Because it multiplies by tens, every place value grows ten times, so the whole row moves one column left.

Can the remainder equal the divisor?

No. The remainder must be smaller than the divisor, otherwise the quotient can still go up by one.

P4 Maths: Long Multiplication and Division (10 Correction Items)

2026-11-08

Ten common slips: wrong place value, a remainder larger than the divisor, dropped zeros, estimation treated as the answer, a missing remainder and wrong area units.

Focus　First locate the faulty step, then write the correct working and check it with the inverse operation.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10
Suggested time	30
Difficulty mix	Error redo 10
Chapter	Chapter: P4 Maths: Long Multiplication and Division
Level	P4

02　Questions (10 items)

Error redoCorrect the work: in 43 × 25 the second row was written as 86 and the answer given as 301. Find the error and the correct product.
Error redoCorrect the work: 946 ÷ 23 was answered as quotient 40, remainder 26. Find the correct quotient and remainder.
Error redoCorrect the work: 120 × 30 was answered as 360. Find the correct answer.
Error redoCorrect the work: 7,200 ÷ 90 was answered as 8. Find the correct answer.
Error redoCorrect the work: 39 × 21 was estimated as 800 and 800 was given as the answer. Find the exact product and the difference.
Error redoCorrect the work: a number divided by 36 gives quotient 27 and remainder 11, and 972 was given as the number. Find the correct value.
Error redoCorrect the work: 25 × 12 × 8 was worked left to right as 25 × 12 = 300 then × 8. Give an easier order and the answer.
Error redoCorrect the work: in 1,824 ÷ 24 a trial quotient of 74 gave 1,776 and work stopped. Find the correct answer.
Error redoCorrect the work: a box holds 24 pencils and 38 boxes were bought, answered as 62 pencils. Find the correct total.
Error redoCorrect the work: a rectangle is 128 cm by 36 cm and the area was given as 4,608 cm. Give the correct area and unit.

03　Answers and one-line notes

#	Answer	One-line note
1	The second row is 43 × 2 tens, so it should read 860; 43 × 25 = 215 + 860 = 1,075.	The tens row must shift one place left, otherwise the product is ten times too small.
2	The remainder 26 is not smaller than 23, so one more quotient is needed: 946 ÷ 23 = 41 remainder 3.	Check 23 × 41 + 3 = 946; the remainder must be smaller than the divisor.
3	120 × 3 = 360 and both zeros must be restored, so 120 × 30 = 3,600.	Work out 12 × 3 = 36, then restore both zeros that were dropped.
4	720 ÷ 9 = 80, so 7,200 ÷ 90 = 80.	Remove one zero from both numbers: 720 ÷ 9 leaves the quotient unchanged.
5	Estimate 800, exact 819, difference 19.	Estimation only checks the size of the answer; the exact value must still be worked out.
6	Dividend = 36 × 27 + 11 = 972 + 11 = 983.	The remainder must be added back; 36 × 27 covers only the divisible part.
7	Multiply 25 × 8 = 200 first, then 200 × 12 = 2,400.	Pairs such as 25 × 4 or 25 × 8 give a round hundred and save one hard multiplication.
8	24 × 76 = 1,824, so 1,824 ÷ 24 = 76; 74 falls short by 48.	Check with the inverse operation; if the shortfall is at least the divisor, the quotient must go up.
9	24 × 38 = 960 − 48 = 912 pencils.	Items per box times number of boxes is a multiplication, not an addition.
10	128 × 36 = 4,608, and the unit is cm² rather than cm.	Area is two-dimensional, so the unit must be squared; cm alone measures length.

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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