Primary 6 Maths mixed-topics mock paper

2026-10-31

Primary 6 Maths

Primary 6 maths mixed-topics mock: 26 questions, 100 marks, 50 minutes, on decimals, fractions, percentages, rate, area, volume and averages, with question and answer PDFs.

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Paper details　Level: P6 | Subject: Maths | Time: 50 minutes | Marks: 100 | Questions: 26

Section A: Computation (Q1-Q10, 3 marks each, 30 marks)

Show your working for each answer.

#	Question	Answer and marking notes
1	Work out 3.75 x 8. (3 marks)	3.75 x 8 = 30
2	Find 5/8 of 480. (3 marks)	5/8 x 480 = 300
3	Work out 84 / 0.7. (3 marks)	84 / 0.7 = 120
4	Find 15% of 640. (3 marks)	15% x 640 = 96
5	Work out 2.4 + 1.85 – 0.96. (3 marks)	2.4 + 1.85 = 4.25; 4.25 – 0.96 = 3.29
6	Find the L.C.M. of 18 and 24. (3 marks)	18 = 2 x 3 squared, 24 = 8 x 3, so L.C.M. = 8 x 9 = 72
7	Find the H.C.F. of 84 and 126. (3 marks)	84 = 4 x 3 x 7 and 126 = 2 x 9 x 7, so H.C.F. = 2 x 3 x 7 = 42
8	A dozen pencils cost $54. Find the price of one pencil. (3 marks)	$54 / 12 = $4.50
9	Change 2 hours 45 minutes into minutes. (3 marks)	2 x 60 + 45 = 165 minutes
10	Find the mean of 12, 18, 15, 20 and 25. (3 marks)	Sum = 90, mean = 90 / 5 = 18

Section B: Word problems (Q11-Q20, 4 marks each, 40 marks)

Show the number sentence and the unit in each answer.

#	Question	Answer and marking notes
11	A book set costs $68 and a stationery set costs $32. Ken buys 3 of each and pays $500. How much change should he get? (4 marks)	3 x (68 + 32) = $300; change = 500 – 300 = $200
12	A tank holds 240 litres and already has 60 litres. Water flows in at 8 litres per minute. How long until it is full? (4 marks)	(240 – 60) / 8 = 180 / 8 = 22.5 minutes
13	A factory has 550 items. 40% are packed in the morning and 2/3 of the rest in the afternoon. How many are left? (4 marks)	Morning 220, rest 330, afternoon 220, so 110 items are left
14	A lawn is 12 m by 8.5 m with a circular flower bed of radius 3.5 m (take pi = 22/7). Find the remaining grass area. (4 marks)	12 x 8.5 = 102; circle = 38.5; 102 – 38.5 = 63.5 square metres
15	A school bag marked at $420 is sold at 20% off. Find the selling price. (4 marks)	420 x 80% = $336
16	Ka-ming runs 4.5 km in 36 minutes. (a) Find his speed in km/h. (b) How many minutes does 11.25 km take at this speed? (4 marks)	(a) 4.5 / 36 x 60 = 7.5 km/h; (b) 11.25 / 7.5 x 60 = 90 minutes
17	There are 15 boxes of oranges with 24 oranges in each box. They are shared equally among 8 classes. How many does each class get? (4 marks)	24 x 15 = 360; 360 / 8 = 45 oranges
18	A sum of $8000 is deposited at 2.5% interest per year. Find the interest for one year. (4 marks)	8000 x 2.5% = $200
19	A cuboid is 15 cm long, 12 cm wide and 8 cm high. Find its volume and total surface area. (4 marks)	Volume 15 x 12 x 8 = 1440 cubic cm; surface area 2 x (180 + 120 + 96) = 792 square cm
20	A fan marked at $600 is sold at 25% off. How much less than the marked price do you pay? (4 marks)	600 x 25% = $150

Section C: Data and equations (Q21-Q26, 5 marks each, 30 marks)

Write out the full working for each question.

#	Question	Answer and marking notes
21	Four classes borrow 120, 150, 90 and 140 books. Find the mean number of books per class. (5 marks)	Total 500; mean = 500 / 4 = 125 books
22	The mean of 5 tests is 78. The first four scores are 74, 82, 76 and 80. Find the fifth score. (5 marks)	Total 5 x 78 = 390; first four = 312; fifth = 78
23	Attendance at a school event rises from 250 to 300. Find the percentage increase. (5 marks)	(300 – 250) / 250 x 100% = 20%
24	Solve 3x + 18 = 75. (5 marks)	3x = 57, so x = 19
25	Four workers take 6 days to finish a job. Working at the same rate, how many days do 6 workers need? (5 marks)	Total work = 24 worker-days; 24 / 6 = 4 days
26	A book costs $85. Two books get 5% off. How much do you pay? (5 marks)	85 x 2 = 170; 170 x 95% = $161.50

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