Reasoning Practice Paper - Worksheets, Questions and Revision

14 original exam-style questions - 3 pages of questions with a full mark scheme - free printable PDF.

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This topic is chapter 9 of KS2 Maths SATs Practice Papers.

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10.5 Reasoning Practice Paper

Calculators not allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

A school has 240 pupils. Three quarters of the pupils go on a trip. How many pupils go on the trip?

(a)Find the number of pupils who go on the trip.(2)

A triangular garden has base 8 m and height 5 m. What is its area in square metres? Show your working.

(a)Find the area of the triangle.(3)

Teddy buys 3 identical notebooks and a pencil. The total cost is 5.40. The pencil costs 0.60. How much does one notebook cost?

(a)Find the cost of one notebook in pounds.(2)

A bag contains red, blue and green counters. There are 5 red, 3 blue and 2 green counters. What fraction of the counters are blue? Give your answer in simplest form.

(a)Give the fraction of counters that are blue in simplest form.(3)

A number machine does the following to an input number: multiply by 4, then subtract 7. If the output is 29, what was the input number? Explain your answer.

(a)Find the input number and explain how you worked it out.(3)

A baker had 48 cupcakes. He packs them equally into boxes. Each box holds 6 cupcakes. How many boxes does he fill?

(a)Find how many boxes are filled.(2)

A car travels 150 kilometres on 12 litres of petrol. How many kilometres per litre does the car travel? Give your answer to 1 decimal place.

(a)Find the kilometres per litre to 1 decimal place.(3)

A recipe for 6 pancakes uses 180 g of flour. Kamila wants to make 10 pancakes. How much flour does she need? Show your working.

(a)Find the mass of flour needed for 10 pancakes and explain your method.(4)

Calculate 7.5 + 3.25. Show your answer as a decimal.

(a)Add 7.5 and 3.25.(2)

Sana reads 3 chapters in 25 minutes. At this rate, how many minutes will she take to read 9 chapters?

(a)Find the time for 9 chapters.(3)

A shop sells pens at 35 p each. Kay buys 8 pens. How much does she pay in pounds and pence?

(a)Calculate the total cost.(3)

Write 3/20 as a percentage.

(a)Convert 3/20 to a percentage.(2)

Ali has 4 bags. Each bag holds 125 grams of sugar. How many kilograms of sugar does he have altogether?

(a)Find the total mass in kilograms.(2)

Write 0.875 as a fraction in its simplest form.

(a)Give 0.875 as a fraction in simplest form.(2)

Mark scheme · 10.5 Reasoning Practice Paper

Question 1

(a) M1 Shows 240 x 3/4 or finds 1/4 then multiplies
(a) A1 180 cao
(a) Answer: 180

Question 2

(a) M1 Shows 1/2 x base x height or equivalent method
(a) M1 Computes 1/2 x 8 x 5 = 20 seen
(a) A1 20 m2 cao
(a) Answer: 20 m2

Question 3

(a) M1 Subtracts pencil cost then divides by 3: shows (5.40 - 0.60) / 3
(a) A1 1.60 cao
(a) Answer: 1.60

Question 4

(a) M1 Counts total counters 5 + 3 + 2 = 10
(a) M1 Forms fraction 3/10
(a) A1 3/10 cao
(a) Answer: 3/10

Question 5

(a) M1 Reverses subtract then divide: shows 29 + 7 = 36
(a) M1 Divides by 4 to find input, 36 ÷ 4 = 9
(a) A1 9 cao
(a) Answer: 9

Question 6

(a) M1 Shows 48 ÷ 6 or correct grouping
(a) A1 8 cao
(a) Answer: 8

Question 7

(a) M1 Divides distance by litres: 150 ÷ 12 seen
(a) M1 Rounds result correctly to 1 dp
(a) A1 12.5 cao
(a) Answer: 12.5

Question 8

(a) M1 Finds flour per pancake: 180 ÷ 6 = 30 g
(a) M1 Multiplies per pancake amount by 10: 30 x 10 seen
(a) M1 Computes 30 x 10 = 300
(a) A1 300 g cao
(a) Answer: 300 g

Question 9

(a) M1 Correct decimal addition method seen, aligning tenths and hundredths
(a) A1 10.75 cao
(a) Answer: 10.75

Question 10

(a) M1 Correct proportional working, e.g. time per chapter 25/3 seen
(a) M1 Multiplies to find time for 9 chapters, e.g. (25/3) x 9
(a) A1 75 cao
(a) Answer: 75

Question 11

(a) M1 Shows 35 x 8 or correct grouping method
(a) M1 Works out intermediate total, e.g. 280 p
(a) A1 2.80 cao
(a) Answer: 2.80

Question 12

(a) M1 Shows 3/20 = ?/100 or multiplies fraction to denominator 100
(a) A1 15% cao
(a) Answer: 15%

Question 13

(a) M1 Shows 125 x 4 = 500 g
(a) A1 0.5 kg cao
(a) Answer: 0.5 kg

Question 14

(a) M1 Shows 0.875 = 875/1000 and divides top and bottom by 125
(a) A1 7/8 cao
(a) Answer: 7/8

Reasoning Practice Paper - Worksheets, Questions and Revision

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