中文（繁體）
中文（简体）
English
Primary 4 Maths Mock Paper in English: Factors, Multiples, Perimeter and Area
TUTORZONE ORIGINAL MOCK PAPER · PRIMARY 4 MATHEMATICS (ENGLISH) · EDB UNITS 4N1-4D1
Written to the EDB P4 learning units 4N1-4D1: 22 questions, 55 marks, 60 minutes, questions and answers in English throughout. Covers multi-digit multiplication and division, factors and multiples, H.C.F. and L.C.M., fractions and decimals, perimeter and area, quadrilaterals and bar charts.
What does the Primary 4 paper cover?
Direct answer: the EDB P4 units: multi-digit multiplication and division, factors and multiples, H.C.F. and L.C.M., equivalent fractions and like-denominator sums, decimals, perimeter and area of squares and rectangles, quadrilaterals, direction and bar charts – 22 questions, 55 marks, 60 minutes, in English.
This paper at a glance (sections, marks and timing)
| Component | Content | Weighting | Duration |
|---|---|---|---|
| Section A Quick computation | 12 short questions, 1 mark each: multiplication and division, H.C.F. and L.C.M., decimals, equivalent fractions, perimeter and area, counting factors | 12 | 14 min |
| Section B Short questions | 5 questions, 2 marks each: two-digit multiplication, division, decimal multiplication and division, area | 10 | 14 min |
| Section C Word problems | 5 questions for 33 marks: H.C.F. context, L.C.M. context, square perimeter and area, shopping and change, area and perimeter of a cut-corner shape | 33 | 32 min |
The table above describes how this paper is laid out; it is not an official examination structure from the EDB or any school. P4 pacing: 22 questions in 60 minutes. The concept worth the most marks this year is choosing between H.C.F. and L.C.M.: sharing items into equal groups uses H.C.F., events happening together again uses L.C.M. The cut-corner question (perimeter unchanged) is the one most children get wrong – draw it by hand once.
How this paper was built
The paper follows the P4 units in the EDB Learning Content of Primary Mathematics (2017): Number (4N1-4N8), Measures (4M1-4M2), Shape and Space (4S1-4S3) and Data Handling (4D1). All questions and answers are original.
Scope: area is limited to squares and rectangles (4M2); triangle and parallelogram area belongs to P5 (5M1). Fractions cover equivalence and like denominators only (4N6); decimals cover the four operations with 10 / 100 / 1000 scaling (4N7-4N8).
Pacing
| Section | Marks | Suggested time | What to do first |
|---|---|---|---|
| Section A Quick computation | 12 | 14 min | One minute per item; use short division for H.C.F. and L.C.M. |
| Section B Short questions | 10 | 14 min | Do decimal work in two stages: whole numbers first, then place the decimal point |
| Section C Word problems | 33 | 32 min | Answer (a) and (b) separately; for the cut corner, say area falls but perimeter stays the same |
How is the 60 minutes split?
Direct answer: 14 minutes for Section A, 14 for B and 32 for C, about six to seven minutes per question. Do the two H.C.F./L.C.M. questions first and leave the cut-corner shape until last.
Section A: Quick computation (12 questions, 1 mark each)
Answer only.
Question 1 (1 mark)
24 × 30 = ?
Question 2 (1 mark)
1,536 ÷ 12 = ?
Question 3 (1 mark)
Find the L.C.M. of 6 and 8.
Question 4 (1 mark)
Find the H.C.F. of 18 and 24.
Question 5 (1 mark)
3.6 + 4.75 = ?
Question 6 (1 mark)
5 − 1.25 = ?
Question 7 (1 mark)
3/4 = ___/12
Question 8 (1 mark)
2/9 + 5/9 = ?
Question 9 (1 mark)
Find the perimeter of a rectangle 8 cm by 5 cm.
Question 10 (1 mark)
Find the area of a square of side 7 cm.
Question 11 (1 mark)
How many factors does 12 have?
Question 12 (1 mark)
0.7 × 10 = ?
Section B: Short questions (5 questions, 2 marks each)
Show the working.
Question 1 (2 marks)
46 × 27 = ?
Question 2 (2 marks)
8,064 ÷ 24 = ?
Question 3 (2 marks)
12.5 × 8 = ?
Question 4 (2 marks)
45.6 ÷ 6 = ?
Question 5 (2 marks)
A rectangle is 12 cm by 9 cm. Find its area.
Section C: Word problems (5 questions, 33 marks)
Number sentence, answer and unit; split (a) and (b).
Question 1 (6 marks)
There are 24 red beads and 36 blue beads. Amy makes identical bracelets using all the beads, with no bead left over. (a) What is the greatest number of bracelets she can make? (b) How many red and how many blue beads are on each bracelet?
Question 2 (6 marks)
Bus A leaves the terminus every 8 minutes and Bus B every 12 minutes. They leave together at 9:00. When will they next leave together?
Question 3 (7 marks)
A square garden has a perimeter of 36 m. (a) Find the length of one side. (b) Find the area of the garden.
Question 4 (7 marks)
Three pens cost $12.50 each. (a) How much do the three pens cost? (b) How much change is left from a $50 note?
Question 5 (7 marks)
A rectangle measures 12 cm by 8 cm. A 4 cm by 4 cm square is cut out of one corner. (a) Find the area of the remaining shape. (b) Find the perimeter of the remaining shape.
Do the answers explain the H.C.F. / L.C.M. choice?
Direct answer: yes. Question 1 states that an exact share with nothing left over needs the H.C.F., question 2 that leaving together again needs the L.C.M., and both list the actual multiples so the reason is visible.
Section A answers and marks
Question 1
720. 24 × 3 = 72, then multiply by 10.
Question 2
128. 1200 ÷ 12 = 100 and 336 ÷ 12 = 28.
Question 3
24. Multiples of 8: 8, 16, 24 – and 24 is also a multiple of 6.
Question 4
6. Common factors are 1, 2, 3 and 6, so the greatest is 6.
Question 5
8.35. Line up the decimal points: 3.60 + 4.75.
Question 6
3.75. Think 5.00 − 1.25, borrowing across the decimal point.
Question 7
9. 4 × 3 = 12, so multiply the numerator by 3 as well.
Question 8
7/9. Same denominator: add the numerators and keep 9.
Question 9
26 cm. (8 + 5) × 2, or 8 + 5 + 8 + 5.
Question 10
49 cm². 7 × 7.
Question 11
6. 1, 2, 3, 4, 6 and 12.
Question 12
7.0. Multiplying by 10 moves the decimal point one place right.
Section B answers and marks
Question 1
46 × 20 = 920 and 46 × 7 = 322, so 920 + 322 = 1242.
Question 2
24 × 300 = 7,200 and 24 × 36 = 864, so the quotient is 336.
Question 3
12 × 8 = 96 and 0.5 × 8 = 4, so 100.0.
Question 4
42 ÷ 6 = 7 and 3.6 ÷ 6 = 0.6, so 7.6.
Question 5
12 × 9 = 108 cm². Area, not perimeter – check what the question asks for.
Section C answers and marks
Question 1
The number of bracelets must divide both 24 and 36, so take the H.C.F. = 12 bracelets. (b) 24 ÷ 12 = 2 red and 36 ÷ 12 = 3 blue.
Question 2
Multiples of 8: 8, 16, 24. Multiples of 12: 12, 24. The L.C.M. is 24 minutes, so they leave together again at 9:24.
Question 3
(a) 36 ÷ 4 = 9 m. (b) 9 × 9 = 81 m².
Question 4
(a) 3 × $12.50 = $37.5. (b) $50 − $37.5 = $12.5.
Question 5
(a) 12 × 8 = 96 and 4 × 4 = 16, so the area is 80 cm². (b) Cutting a corner does not change the perimeter: (12 + 8) × 2 = 40 cm.
Where do P4 marks usually go?
Direct answer: swapping H.C.F. and L.C.M., confusing area with perimeter (wrong unit), assuming the perimeter falls after a cut corner, and misplacing a decimal point. The first two are concepts, the last two habits.
Where these marks are usually lost
| Mistake | What it looks like | What it costs | Instead |
|---|---|---|---|
| Swapping H.C.F. and L.C.M. | Using L.C.M. to share items, H.C.F. for things meeting again | The whole context is wrong | Sharing into equal groups = H.C.F.; meeting again = L.C.M. |
| Mixing up area and perimeter | Answering 12 x 9 as 42 cm | Both the number and the unit are wrong | Area in cm², perimeter in cm – read which is asked |
| Assuming the perimeter falls after a corner is cut | Writing 40 – 8 for the perimeter | Three to four marks lost | A cut corner reduces area only; draw it and the perimeter is unchanged |
| Misplacing the decimal point | 12.5 x 8 answered as 10 or 1000 | Out by a factor of ten | Work 125 x 8 = 1000 first, then put back one decimal place |
How to use this paper
Timed in blocks of 14 / 14 / 32 minutes, capping each Section C question at seven minutes.
Marking: for every H.C.F. or L.C.M. question, the child should be able to say why that one applies, not just get the number.
Seven days later: log the errors and add three more questions of the same type, one H.C.F. and one L.C.M. at least.
What comes after this paper?
Direct answer: log the errors, redo after seven days, then move to the P5 paper. If both H.C.F. and L.C.M. questions were wrong, drill three more of each context before moving up.
FAQ
Why 22 questions and 55 marks at P4?
Because multi-digit multiplication and two-step word problems arrive this year, so both the length and the marks rise. School papers at this level typically run 50-60 minutes for 50-60 marks.
How do you make H.C.F. and L.C.M. stick?
Two everyday contexts: sharing everything out with nothing left over is H.C.F.; two things happening together again is L.C.M. Three questions of each context settles it.
Why is the perimeter unchanged when a corner is cut away?
The two edges removed (4 cm each) are replaced by two new edges of the same length, so the total is the original perimeter.
Which paper next?
The P5 paper: fraction multiplication and division, simple equations, triangle and parallelogram area, volume, and circle properties.
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): P4 units 4N1-4D1 |
| https://www.tutorzone.com.hk/en-primary-maths-p3-mock-2027/ | Primary 3 paper: 5-digit numbers, multiplication, like fractions |
| https://www.tutorzone.com.hk/en-primary-maths-p5-mock-2027/ | Primary 5 paper: fraction operations, equations, area and volume |
Related: practice area · Primary 3 paper · Primary 5 paper
Next step: find a tutor / register as a tutor
After drilling, the hard part is telling a conceptual error from a writing error. Tell us the year group, the school and your available times, and TutorZone will match you with a tutor who knows the HKEAA assessment requirements.
Demand for tutors in this subject is steady, and those who can explain the marking scheme and where marks are won are especially sought after. Register free; you pay only when a match succeeds.
