Why does multiplying by 100 move the point two places?

Each multiplication by 10 lifts every digit one place value. Multiplying by 100 lifts them two, so the 3 in 3.07 moves from ones to hundreds and the answer is 307.

When must the unit be changed again in a word problem?

Read the unit the question asks for. The working may give 0.225 L, but if the question asks for mL you multiply by 1000; the wrong unit is a wrong answer.

Primary 5 Maths: Four Operations with Decimals — Practice Paper 4 (10 Questions)

2026-10-29

Tutor Prep Guide · Primary Maths

Paper 4 moves to applications: shifting the decimal point, adding three numbers, change from a purchase, cutting equal pieces, speed times time, sharing a volume, and working back from a product.

Quick answer　10 questions, about 25 minutes. Items 01 and 02 test moving the decimal point, items 03 and 04 test lining up and filling zeros, items 05 and 07 are everyday applications, item 08 needs a unit change, item 09 works backwards, item 10 is the commonest place-value slip.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10 questions
Suggested time	25 minutes
Difficulty mix	Foundation 4 · Intermediate 3 · Challenge 2 · Error redo 1
Chapter	Chapter: Primary 5 Maths: Four Operations with Decimals — Tutor Lesson Plan
Level	Primary 5

02　Questions (10 items)

Foundation3.07 × 100 = ?
Foundation45.6 ÷ 10 = ?
Foundation6.4 + 0.86 + 12 = ?
Foundation14 − 2.8 = ?
IntermediateA pen costs $4.75. Six pens are bought and $30 is paid. How much change?
IntermediateA rope is 0.35 m long and is cut into pieces of 0.05 m. How many pieces?
IntermediateA car travels 62.5 km each hour for 2.4 hours. What distance does it cover?
Challenge1.8 L of juice is shared equally among 8 people. How many mL does each get?
ChallengeA number multiplied by 0.4 gives 3.6. What is the number?
Error redo2.6 × 0.05 = ? (common slip: three decimal places in total, so answering 0.013 or 1.3)

03　Answers and one-line notes

#	Answer	One-line note
1	307	Multiplying by 100 moves the point two places right, so 3.07 becomes 307.
2	4.56	Dividing by 10 moves the point one place left, so 45.6 becomes 4.56.
3	19.26	Line the points up first: 6.40 + 0.86 + 12.00 = 19.26.
4	11.2	Write 14 as 14.0 so the points match, then 14.0 − 2.8 = 11.2.
5	$1.5	4.75 × 6 = 28.50, then 30 − 28.50 = 1.50; 28.50 + 1.50 = 30 checks it.
6	7 pieces	Multiply both numbers by 100: 0.35 ÷ 0.05 = 35 ÷ 5 = 7, with nothing left over.
7	150 km	62.5 × 2.4: first 625 × 24 = 15000, three decimal places gives 15.000, that is 150.
8	225 mL	1.8 ÷ 8 = 0.225 L, then × 1000 gives 225 mL; the question asks for mL, so the conversion cannot be skipped.
9	9	Work backwards with division: 3.6 ÷ 0.4 = 36 ÷ 4 = 9, and 9 × 0.4 = 3.6 checks it.
10	0.13	26 × 5 = 130 and the two factors have three decimal places, so 0.130, written 0.13.

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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