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Primary 6 Maths Mock Paper (English): SPCC, DBS, DGS, St Joseph’s Level
TUTORZONE ORIGINAL MOCK PAPER · PRIMARY 6 MATHEMATICS (ENGLISH) · EDB UNITS 6N1-6D4
Written to the EDB P6 learning units 6N1-6D4: 22 questions, 60 marks, 60 minutes, questions and answers in English throughout. Covers decimals, percentages, simple equations, angles, circumference and circle area, capacity and displacement, speed, symmetry, averages and statistical charts.
What does the Primary 6 paper cover?
Direct answer: the EDB P6 units: decimal operations, percentages including reverse percentages, simple equations, angles, circumference and circle area, capacity, speed, symmetry, averages and statistical charts – 22 questions, 60 marks, 60 minutes in English. No discount or interest.
This paper at a glance (sections, marks and timing)
| Component | Content | Weighting | Duration |
|---|---|---|---|
| Section A Quick computation | 12 short questions, 1 mark each: decimal operations, percentages, solving equations, circumference and circle area, averages | 12 | 15 min |
| Section B Short questions | 5 questions, 3 marks each: speed, volume and capacity, angle sum of a triangle, reverse percentage, pie-chart angles | 15 | 15 min |
| Section C Word problems | 5 questions for 33 marks: multi-step percentages, speed and time, consecutive-number equation, semicircle perimeter and area, averages and a target score | 33 | 30 min |
The table above describes how this paper is laid out; it is not an official examination structure from the EDB or any school. P6 pacing: 22 questions in 60 minutes, under three minutes each. The three classic losses: forgetting to add the diameter when finding a semicircle’s perimeter, using the wrong base in a reverse percentage, and working out a target average without first computing the total marks needed. Twenty marks sit in those three moves.
How this paper was built
The paper follows the P6 units in the EDB Learning Content of Primary Mathematics (2017): Number (6N1-6N4), Algebra (6A1), Measures (6M1-6M5), Shape and Space (6S1) and Data Handling (6D1-6D4). All questions and answers are original.
Scope: percentages cover finding a percentage, a percentage of a quantity, increase and decrease, and reverse percentages (6N4, 6A1). Discount, interest and comparing percentage changes are explicitly outside the primary curriculum. Circle area uses pi = 22/7 (6M5).
Pacing
| Section | Marks | Suggested time | What to do first |
|---|---|---|---|
| Section A Quick computation | 12 | 15 min | Write the formula for circumference and area; pi is 22/7 throughout |
| Section B Short questions | 15 | 15 min | Speed is distance over time; for reverse percentages find 1% first |
| Section C Word problems | 33 | 30 min | In multi-step percentages find the part first; a semicircle perimeter must add the diameter |
How is the 60 minutes split?
Direct answer: 15 minutes for Section A, 15 for B and 30 for C, with seven minutes each for the speed and semicircle questions and six for the consecutive-number equation.
Section A: Quick computation (12 questions, 1 mark each)
Answer only; percentages need the % sign.
Question 1 (1 mark)
0.75 × 100 = ?
Question 2 (1 mark)
4.8 ÷ 0.6 = ?
Question 3 (1 mark)
25% of 480 = ?
Question 4 (1 mark)
What percentage of 80 is 20?
Question 5 (1 mark)
Increase 60 by 15%.
Question 6 (1 mark)
Solve 2x + 5 = 17.
Question 7 (1 mark)
Solve x/4 + 3 = 8.
Question 8 (1 mark)
Find the area of a circle of radius 7 cm. (Take π = 22/7.)
Question 9 (1 mark)
Find the circumference of a circle of diameter 14 cm. (Take π = 22/7.)
Question 10 (1 mark)
Find the average of 12, 15, 18, 20 and 25.
Question 11 (1 mark)
Solve 1/2 x + 3 = 10.
Question 12 (1 mark)
0.25 ÷ 0.05 = ?
Section B: Short questions (5 questions, 3 marks each)
Show the formula or number sentence.
Question 1 (3 marks)
A car travels 150 km in 2 hours. Find its average speed.
Question 2 (3 marks)
A cuboid is 25 cm by 12 cm by 8 cm. (a) Find its volume in cm³. (b) Write the volume in litres.
Question 3 (3 marks)
Two angles of a triangle are 48° and 67°. Find the third angle.
Question 4 (3 marks)
75% of a number is 30. Find the number.
Question 5 (3 marks)
In a pie chart, one sector represents 25% of the data. What is the angle of that sector?
Section C: Word problems (5 questions, 33 marks)
Write each step on its own line; split (a)(b)(c); finish with the unit.
Question 1 (6 marks)
A class has 40 pupils. 60% of them are girls. (a) How many girls are there? (b) How many boys? (c) 25% of the girls wear glasses. How many girls wear glasses?
Question 2 (6 marks)
A train travels 252 km at 84 km/h. (a) How long does the journey take? (b) The train then travels for 2.5 hours at 70 km/h. How far does it go in that time?
Question 3 (7 marks)
The sum of three consecutive whole numbers is 72. (a) Let the smallest be x, write an equation. (b) Find the three numbers.
Question 4 (7 marks)
A semicircle has radius 7 cm. (Take π = 22/7.) (a) Find its perimeter. (b) Find its area.
Question 5 (7 marks)
Five test scores are 68, 72, 80, 84 and 96. (a) Find the average. (b) What score is needed in a sixth test so that the average of all six tests becomes 82?
Do the answers show how the marks are earned?
Direct answer: yes. The semicircle splits into arc (2 marks) and diameter (1 mark); the average question splits into total (2) and difference (2); reverse percentages show 1% first, then x 100.
Section A answers and marks
Question 1
75.0. Move the decimal point two places right.
Question 2
8.0. Make the divisor whole: 48 ÷ 6.
Question 3
120. 480 ÷ 4 – or 480 × 25/100.
Question 4
25.0%. 20/80 = 1/4 = 25%.
Question 5
69.0. 60 × 1.15, i.e. 60 + 9.
Question 6
x = 6.0. 2x = 12, then divide by 2.
Question 7
x = 20. x/4 = 5, then multiply both sides by 4.
Question 8
154 cm². 22/7 × 7 × 7; the sevens cancel, leaving 22 × 7.
Question 9
44 cm. π × diameter = 22/7 × 14.
Question 10
18. Total 90 ÷ 5.
Question 11
x = 14. 1/2 x = 7, so x = 7 × 2.
Question 12
5.0. 25 ÷ 5 after making both numbers whole.
Section B answers and marks
Question 1
150 ÷ 2 = 75.0 km/h. Speed = distance ÷ time.
Question 2
(a) 25 × 12 × 8 = 2400 cm³. (b) 1000 cm³ = 1 L, so 2.4 L.
Question 3
The angles of a triangle add to 180°, so 180 − 48 − 67 = 65°.
Question 4
1% is 30 ÷ 75 = 0.4, so 100% = 0.4 × 100 = 40. Check: 75% of 40 = 30.
Question 5
25% of 360° = 90°. The whole circle is 360°.
Section C answers and marks
Question 1
(a) 40 × 0.6 = 24 girls. (b) 40 − 24 = 16 boys. (c) 24 × 0.25 = 6 girls.
Question 2
(a) 252 ÷ 84 = 3.0 hours. (b) 70 × 2.5 = 175.0 km.
Question 3
(a) x + (x + 1) + (x + 2) = 72, i.e. 3x + 3 = 72. (b) 3x = 69, so x = 23, and the numbers are 23, 24 and 25. Check: their sum is 72.
Question 4
(a) Curved part: 22/7 × 14 ÷ 2 = 22, plus the straight edge 14, giving 36 cm. (b) 22/7 × 49 ÷ 2 = 77 cm².
Question 5
(a) Total = 400, so the average is 400 ÷ 5 = 80. (b) Six tests at an average of 82 need 6 × 82 = 492 marks in total, so the sixth score must be 492 − 400 = 92.
Where do P6 marks usually go?
Direct answer: a semicircle perimeter without the diameter, a reverse percentage with the wrong base, a target average answered as a difference, and circle area confused with circumference. Up to twenty marks, all routine.
Where these marks are usually lost
| Mistake | What it looks like | What it costs | Instead |
|---|---|---|---|
| Semicircle perimeter without the diameter | Writing only 22/7 x 14 / 2 = 22 cm | 14 cm short – three marks | Semicircle perimeter = arc + diameter |
| Wrong base in a reverse percentage | 75% of what is 30 answered as 30 x 0.75 | The value is wrong | Find 1% (30 / 75) first, then multiply by 100 |
| Target average answered as a difference | Answering 2 after 82 – 80 | The whole question is lost | Six tests need 6 x 82 = 492 marks in total; subtract the current total |
| Confusing circle area with circumference | Radius 7 cm answered as 44 cm² | Both formula and unit are wrong | Area uses pi r squared, perimeter uses pi d – write the formula first |
How to use this paper
Timed in blocks of 15 / 15 / 30 minutes, capping each Section C question at seven minutes.
Marking: check the semicircle and average questions line by line, because their marks are awarded by step (arc 2, diameter 1; total 2, difference 2).
Seven days later: log the errors and add three more questions – one semicircle perimeter, one reverse percentage, one target average.
What comes after this paper?
Direct answer: log the errors, redo after seven days, then rework the P1-P5 papers as revision or move to Secondary 1 mathematics. Algebra becomes the main language, so equations and percentages are the two skills to keep sharp.
FAQ
Is this the level of a Secondary 1 entrance or streaming test?
Close, but it contains no secondary content such as algebraic simplification or negative numbers. It stays inside the EDB P6 units, which is what consolidation before Secondary 1 should look like.
Why no discount or interest questions?
Because unit 6N4 explicitly excludes discount, interest and comparing percentage changes. Practising inside the official scope matters more than borrowing secondary questions.
22/7 or 3.14 for pi?
Either is accepted (6M5). This paper uses 22/7 throughout because school papers usually do; with 3.14 the circle area becomes 153.86 cm² instead of 154 cm².
What next?
Redo the whole P1-P6 series as revision, or move to Secondary 1 mathematics – the language switches to algebra, so equations and percentages are the two things to keep sharp.
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): P6 units 6N1-6D4 |
| https://www.tutorzone.com.hk/en-primary-maths-p5-mock-2027/ | Primary 5 paper: fraction operations, equations and area |
| https://www.tutorzone.com.hk/en-practice-questions/ | TutorZone practice area: secondary mock papers and drilling guides |
Related: practice area · Primary 1 paper · Primary 5 paper
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