P5 Maths Practice Paper: Fractions, Decimals And Percentages, Area And Volume, Speed And Statistics

P5 Maths Practice Paper: Fractions, Decimals and Percentages, Area and Volume, Speed and Statistics

2026-11-13

P5 Maths – School Exam Practice

P5 Maths practice paper: six questions, 24 parts on fractions, decimals, percentages, area, volume, speed, statistics and averages, with full answers and marking notes.

Download　Question paper PDF　|　Answer key PDF

Paper details　P5 Maths practice paper with full answers and marking notes: fractions, decimals, percentages, area, volume, speed, statistics.

Part A: Fractions

Work out the following. Give each answer in its simplest form.

#	Question	Answer and marking notes
1	Work out 3/4 + 5/8.	11/8 = 1 3/8 (2 marks common denominator, 2 marks sum)
2	Work out 2/3 x 9/10.	3/5 (2 marks cancelling, 2 marks answer)
3	Work out 5/6 divided by 10/9.	3/4 (2 marks reciprocal, 1 mark cancelling, 1 mark answer)
4	Work out 7 minus 2 3/5.	4 2/5 (2 marks improper fraction, 2 marks subtraction, 1 mark answer)

Part B: Decimals and Percentages

Work out the following and include the correct unit.

#	Question	Answer and marking notes
5	Work out 0.6 x 1.25.	0.75 (2 marks working, 2 marks decimal point)
6	Find 45% of 240.	108 (2 marks setting up, 2 marks answer)
7	A number increases from 80 to 92. Find the percentage increase.	15% (2 marks difference, 1 mark division, 1 mark percentage)
8	An item is marked at 320 dollars and sold at a 20 percent discount. Find the selling price.	256 dollars (2 marks discount rate, 2 marks answer)

Part C: Area and Perimeter

All lengths are in cm. Write area answers in cm2.

#	Question	Answer and marking notes
9	A rectangle is 12 cm long and 7 cm wide. Find its area.	84 cm2 (2 marks formula, 2 marks answer with unit)
10	Find the perimeter of the same rectangle.	38 cm (2 marks formula, 2 marks answer with unit)
11	A triangle has base 16 cm and height 9 cm. Find its area.	72 cm2 (3 marks halving, 2 marks answer with unit)
12	A parallelogram has base 14 cm and height 6 cm. Find its area.	84 cm2 (2 marks formula, 2 marks answer with unit)

Part D: Volume and Capacity

Write volume answers in cm3 and capacity answers in L.

#	Question	Answer and marking notes
13	A cube has edge 5 cm. Find its volume.	125 cm3 (2 marks formula, 2 marks answer with unit)
14	Find the total surface area of the same cube.	150 cm2 (2 marks six faces, 2 marks answer)
15	A cuboid is 10 cm by 8 cm by 4 cm. Find its volume.	320 cm3 (2 marks formula, 2 marks answer with unit)
16	A water tank holds 2.4 m3. Find its capacity in L.	2400 L (2 marks conversion, 2 marks answer)

Part E: Speed

Work out the following and give the correct unit.

#	Question	Answer and marking notes
17	A car travels 150 km in 2.5 hours. Find its average speed.	60 km/h (2 marks formula, 2 marks answer with unit)
18	A car travels at 75 km/h for 3 hours. Find the distance covered.	225 km (2 marks formula, 2 marks answer with unit)
19	A person walks 300 m at 1.2 m/s. Find the time needed in seconds.	250 s (2 marks formula, 2 marks working, 1 mark unit)
20	A car travels 4 km at 5 km/h. Find the time needed in minutes.	48 minutes (2 marks hours, 2 marks conversion)

Part F: Statistics and Averages

Show your working. Answers without working score no marks.

#	Question	Answer and marking notes
21	The mean of five numbers is 12. Find their total.	60 (3 marks mean times count, 1 mark answer)
22	One more number, 18, is added. Find the mean of the six numbers.	13 (2 marks total, 1 mark division, 1 mark answer)
23	Find the median of 8, 12, 15, 19, 26.	15 (2 marks ordering, 2 marks middle value)
24	Ken averages 78 marks in his first four tests and scores 88 in the fifth test. Find his mean mark for five tests.	80 marks (2 marks total 312, 3 marks dividing by 5)

Find a tutor — free Tutor Registration →

A TutorZone practice paper; original questions and passages, not publisher material.