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Primary 3 Maths Mock Paper in English: 5-Digit Numbers, Fractions, Capacity and Weight
TUTORZONE ORIGINAL MOCK PAPER · PRIMARY 3 MATHEMATICS (ENGLISH) · EDB UNITS 3N1-3D1
Written to the EDB P3 learning units 3N1-3D1: 20 questions, 50 marks, 50 minutes, questions and answers in English throughout. Covers 5-digit numbers, multiplication and division, mixed operations, fractions with the same denominator, length and time, capacity, weight, quadrilaterals, triangles and bar charts.
What does the Primary 3 paper cover?
Direct answer: the EDB P3 units: 5-digit numbers, multiplication and division, mixed operations, like fractions, length and time, capacity, weight, quadrilaterals, triangles and bar charts – 20 questions, 50 marks, 50 minutes, all in English.
This paper at a glance (sections, marks and timing)
| Component | Content | Weighting | Duration |
|---|---|---|---|
| Section A Quick computation | 10 short questions, 1 mark each: reading 5-digit numbers, multiplication and division, like fractions, unit conversion, time, bar charts | 10 | 12 min |
| Section B Short questions | 6 questions, 2 marks each: 5-digit addition and subtraction, 2-digit by 1-digit multiplication, 3-digit by 1-digit division, mixed operations, fraction of a quantity | 12 | 14 min |
| Section C Word problems | 4 questions for 28 marks: multiplication contexts, capacity conversion, weight conversion, shopping and change | 28 | 24 min |
The table above describes how this paper is laid out; it is not an official examination structure from the EDB or any school. P3 pacing: 20 questions in 50 minutes. This is the year conversion meets two-step word problems, and the big trap is adding or multiplying mixed units directly (1 kg 250 g x 4). Always convert to the small unit (g, mL, minutes) first, calculate, then convert back and write the unit.
How this paper was built
The paper follows the P3 learning units in the EDB Learning Content of Primary Mathematics (2017): Number (3N1-3N5), Measures (3M1-3M5), Shape and Space (3S1-3S2) and Data Handling (3D1). All questions and answers are original.
Scope: fractions are limited to the same denominator, with totals not greater than 1 (unit 3N5); capacity and weight use whole-number conversion between L / mL and kg / g; time uses whole hours and minutes only.
Pacing
| Section | Marks | Suggested time | What to do first |
|---|---|---|---|
| Section A Quick computation | 10 | 12 min | One minute per item; write the conversion fact (1 L = 1000 mL, 1 kg = 1000 g) before calculating |
| Section B Short questions | 12 | 14 min | Mixed operations go left to right; multiplication does not outrank division |
| Section C Word problems | 28 | 24 min | Give units in both (a) and (b); convert to one unit before calculating |
How is the 50 minutes split?
Direct answer: 12 minutes for Section A, 14 for B and 24 for C, with six to seven minutes each for the capacity and weight questions and five for the shopping question.
Section A: Quick computation (10 questions, 1 mark each)
Answer only.
Question 1 (1 mark)
Write 45,678 in words.
Question 2 (1 mark)
234 × 3 = ?
Question 3 (1 mark)
864 ÷ 6 = ?
Question 4 (1 mark)
1/4 + 2/4 = ?
Question 5 (1 mark)
5/7 − 2/7 = ?
Question 6 (1 mark)
Which fraction is greater, 3/8 or 5/8?
Question 7 (1 mark)
3 L = ___ mL
Question 8 (1 mark)
2 kg = ___ g
Question 9 (1 mark)
3 hours = ___ minutes
Question 10 (1 mark)
In a bar chart, Monday shows 12 books and Tuesday shows 8 books. How many more books does Monday show?
Section B: Short questions (6 questions, 2 marks each)
Show the working; give fractions in their simplest form.
Question 1 (2 marks)
1,206 + 3,897 = ?
Question 2 (2 marks)
5,000 − 1,234 = ?
Question 3 (2 marks)
36 × 7 = ?
Question 4 (2 marks)
945 ÷ 7 = ?
Question 5 (2 marks)
24 ÷ 6 × 5 = ?
Question 6 (2 marks)
2/5 of 30 = ?
Section C: Word problems (4 questions, 28 marks)
Number sentence, answer and unit; split (a) and (b). Write combined units as 2 L 250 mL.
Question 1 (6 marks)
A box holds 24 cans. There are 8 boxes. (a) How many cans are there? (b) 75 cans are sold. How many cans are left?
Question 2 (6 marks)
A bottle holds 750 mL of water. (a) How much water is there in 3 such bottles? Give the answer in mL. (b) Write that amount in litres and millilitres.
Question 3 (8 marks)
Four bags of rice weigh 1 kg 250 g each. (a) What is the total weight in grams? (b) 2 kg of rice is used. What weight is left? Give the answer in kg.
Question 4 (8 marks)
Lily buys 3 books at $28 each and 4 pens at $6 each. She pays with a $200 note. (a) How much does she spend? (b) How much change does she get?
Do the answers show the conversions?
Direct answer: yes. The capacity and weight answers write 1 L = 1000 mL or 1 kg = 1000 g first, then the multiplication, then the combined unit (2 L 250 mL, 5 kg), so each line can be ticked.
Section A answers and marks
Question 1
forty-five thousand six hundred and seventy-eight. Read the thousands group first, then the hundreds, tens and ones.
Question 2
702. 200 × 3 = 600, 30 × 3 = 90, 4 × 3 = 12; 600 + 90 + 12 = 702.
Question 3
144. 600 ÷ 6 = 100, 240 ÷ 6 = 40, 24 ÷ 6 = 4.
Question 4
3/4. Same denominator: add the numerators only, 1 + 2 = 3.
Question 5
3/7. Subtract the numerators, keep the denominator.
Question 6
5/8. Same denominator, so eight equal parts compared: five parts are more than three.
Question 7
3000 mL. 1 L = 1000 mL, so 3 × 1000.
Question 8
2000 g. 1 kg = 1000 g.
Question 9
180 minutes. 3 × 60.
Question 10
4 more books. Read the two bar heights and subtract: 12 − 8 = 4.
Section B answers and marks
Question 1
Line up by place value and carry: 5103.
Question 2
Borrow across the zeros: 3766. Check by adding 1,234 back.
Question 3
30 × 7 = 210 and 6 × 7 = 42, so 252.
Question 4
700 ÷ 7 = 100, 245 ÷ 7 = 35, so 135.
Question 5
Work left to right: 24 ÷ 6 = 4, then 4 × 5 = 20. Multiplication does not jump ahead of division here – do them in the order written.
Question 6
30 ÷ 5 = 6, then 6 × 2 = 12.
Section C answers and marks
Question 1
(a) 8 × 24 = 192 cans. (b) 192 − 75 = 117 cans left.
Question 2
(a) 3 × 750 = 2250 mL. (b) 2250 mL = 2 L 250 mL, because 1000 mL makes 1 L.
Question 3
1 kg 250 g = 1250 g. (a) 4 × 1250 = 5000 g. (b) 2 kg = 2000 g, so 5000 − 2000 = 3000 g = 3 kg.
Question 4
Books: 3 × $28 = $84. Pens: 4 × $6 = $24. (a) $84 + $24 = $108. (b) $200 − $108 = $92.
Where do P3 marks usually go?
Direct answer: multiplying mixed units directly, doing multiplication before division in a chain, unsimplified fractions, and losing a zero on conversion. The first two are routine errors, the last two fluency.
Where these marks are usually lost
| Mistake | What it looks like | What it costs | Instead |
|---|---|---|---|
| Multiplying mixed units directly | 1 kg 250 g x 4 answered as 4 kg 1000 g | The whole item is wrong | Convert first: 1250 g x 4 = 5000 g = 5 kg |
| Doing x before / in a mixed chain | 24 / 6 x 5 worked as 24 / 30 | The value is completely wrong | Multiplication and division rank equally – work left to right |
| Fractions not simplified | Leaving 2/4 when the simplest form is asked for | One mark is lost | Simplify immediately, and check a like-fraction sum is not greater than 1 |
| Losing a zero on conversion | 3 L written as 300 mL | Out by a factor of ten | Write 1 L = 1000 mL before calculating |
How to use this paper
Timed in three blocks of 12 / 14 / 24 minutes; cap each Section C question at six minutes.
Marking: check every conversion and simplify every fraction; each part of Section C must carry a unit.
Seven days later: rewrite the mixed-unit questions from scratch and add three more of the same type.
What comes after this paper?
Direct answer: log the errors, redo after seven days, then move to the P4 paper. If two or more conversion questions were wrong, drill five more conversion problems before moving up.
FAQ
Can a strong P2 child use this paper?
Yes, but finish the P2 paper at 36/40 first. The P3 paper adds 5-digit numbers and like fractions, and weak times tables make it two new things at once.
Why only like fractions?
Because learning unit 3N5 is limited to same-denominator addition and subtraction with totals not greater than 1; equivalent fractions and simplification are P4 (4N6).
Why insist on combined units such as 2 L 250 mL?
Because school papers usually require that form, and an answer of 2250 mL or a missing unit loses a mark.
Which paper comes next?
The P4 paper: multi-digit multiplication and division, factors and multiples, perimeter, area and decimals – a clear step up in difficulty.
Official references
| Resource | What to check |
|---|---|
| https://www.edb.gov.hk/attachment/en/curriculum-development/kla/ma/curr/pmc2017_e.pdf | EDB Learning Content of Primary Mathematics (2017): P3 units 3N1-3D1 |
| https://www.tutorzone.com.hk/en-primary-maths-p2-mock-2027/ | Primary 2 paper: tables and remainders |
| https://www.tutorzone.com.hk/en-primary-maths-p4-mock-2027/ | Primary 4 paper: multi-digit multiplication, factors, perimeter and area |
Related: practice area · Primary 2 paper · Primary 4 paper
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