Reasoning Practice Paper 9 - Worksheets, Questions and Revision

20 original exam-style questions - 6 pages of questions with a full mark scheme - free printable PDF.

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KS2 · Mixed Reasoning (Number, Calculation, Fractions, Percentages, Ratio, Measurement, Money, Time and Algebraic Reasoning)

KS2.M-R9 Reasoning Practice Paper 9

NATIONAL CURRICULUM KS2 National Curriculum Mathematics - Reasoning Practice Paper Framework · Calculators not allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
A recycling centre receives 6 boxes of glass bottles for collection. Each box contains 35 bottles. Work out the total number of bottles collected.
(1)
2
A market stall sells strawberries in punnets. Each punnet holds 250g. The stallholder has 9 kg of strawberries to pack. Work out how many complete punnets he can fill.
(2)
3
Sunita's fish tank holds 45 litres of water when full. She has already poured in 18 litres using a jug that holds 3 litres each time. Work out how many more times she needs to fill and pour the jug to fill the tank completely.
(2)
4
A charity bake sale raises £2.20 for every packet of biscuits sold. On Saturday the group sold 34 packets, and on Sunday they sold 27 packets. Work out the total amount of money raised over the weekend.
(2)
5
Four friends go bowling together. The cost is £6.40 per person for one game, plus a one-off £5.00 shoe hire fee for the whole group. Work out the total amount the group pays.
(2)
6
Leah cycles at an average speed of 18 km per hour. Work out how far she travels in 2 hours 30 minutes, assuming she keeps this speed constant throughout.
(2)
7
A youth theatre group has 96 members. 3/8 of the members are in Year 6. Of the members who are NOT in Year 6, 1/3 play a musical instrument. Work out how many members of the youth theatre play a musical instrument.
(3)
8
A school allotment is a rectangle measuring 8m by 5m. The gardening club digs over the whole allotment except for a square compost bin of side length 1.5m in one corner. Work out the area, in m2, that is left for planting.
(3)
9
A pet shop orders 18 boxes of dog treats. Each box contains 32 packets. The shop sells 439 packets in one month. Work out how many packets of dog treats are left in stock at the end of the month.
(3)
10
The table shows the number of raffle tickets sold by four form classes for a school charity event. Class 5W sold 42 tickets, class 5B sold 58 tickets, class 5G sold 37 tickets and class 5R sold 51 tickets. Each ticket costs £1.20. Work out how much more money the class with the most sales raised than the class with the fewest sales.
(3)
11
A machine at a bottling plant fills 8 bottles every 30 seconds. Working at this constant rate, work out how many bottles the machine fills in 6 minutes.
(2)
12
In a survey of 250 pupils at a secondary school, 64% said they walk or cycle to school. Of the pupils who do NOT walk or cycle, half travel by car and the rest travel by bus. Work out how many pupils travel to school by bus.
(3)
13
Nadia posts a parcel with a mass of 2.35 kg. Postage costs 85p for every 100g, with any part of an extra 100g charged as a full 100g. Work out the total cost of posting the parcel.
(3)
14
Grace hires a plumber to fix a leaking pipe. The plumber charges a fixed call-out fee of £35, plus an hourly rate for the time spent working. For a job that took 3 hours, the total charge was £155. Work out the plumber's hourly rate.
(2)
15
Kemi is a decorator who mixes blue paint and white paint in the ratio 5:3 to make a particular shade of pale blue paint. She needs to make 32 litres of the pale blue paint in total. Work out how many more litres of blue paint than white paint she needs.
(3)
16
On 01/05/2026, a sunflower seedling grown by Ellie for a school science project was 4cm tall. It grows at a constant rate of 3.5cm per week. Work out the date on which the seedling's height will first reach at least 60cm.
(3)
17
A charity food bank is packing crates of tinned food to deliver to families in need. Each crate can hold a maximum of 24 tins.
(a)The food bank has 517 tins of food to pack into crates. Work out the smallest number of crates needed to pack all 517 tins.(2)
(b)Once packed, each full crate of 24 tins weighs 9.6 kg. The delivery van can carry a maximum load of 450 kg. Work out the greatest number of full crates the van can carry in one trip without exceeding the weight limit.(2)
18
Bilal takes part in a charity fun run along a 10km course. He runs at a constant pace throughout. He starts at 10:00 and has completed 3/5 of the course by 10:36. Work out the time at which he will finish the whole course, if he keeps running at the same constant pace.
(3)
19
A community allotment society charges £45 per year for a full plot and £27 per year for a half plot. This year, 34 members have full plots and 19 members have half plots. The society also receives a one-off grant of £250 from the local council. Work out the total amount of money the society has this year from plot fees and the grant.
(3)
20
A builder named Marcus is tiling a conservatory floor using hexagonal tiles arranged in rows. Row 1 has 4 tiles, row 2 has 7 tiles, row 3 has 10 tiles, and the pattern continues, with each row having 3 more tiles than the row before.
(a)Work out how many tiles are needed for row 8.(2)
(b)Marcus has exactly 100 tiles. Working row by row from row 1, work out the greatest number of complete rows he can tile without using more than 100 tiles in total.(3)
Mark scheme · KS2.M-R9 Reasoning Practice Paper 9

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Question 9

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Question 20