KS2 SATs-Style Maths Paper (Reasoning 6) - Worksheets, Questions and Revision

22 original exam-style questions - 5 pages of questions with a full mark scheme - free printable PDF.

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KS2 SATs · Reasoning

SATS.KS2-M7 KS2 SATs-Style Maths Paper (Reasoning 6)

DFE DfE National Curriculum KS2 Mathematics (2014) - end of KS2 reasoning test format (Paper 2/3) · Calculators not allowed · about 40 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write down the value of the digit 5 in the number 35 681.

(Total for Question 1 is 1 mark)

Write the number fifty-two thousand and forty-six in figures.

(Total for Question 2 is 1 mark)

Circle the multiple of 8.
34 48 52 66

(Total for Question 3 is 1 mark)

A fitness tracker recorded 8362 steps on Tuesday.
Round 8362 to the nearest 100.

(Total for Question 4 is 1 mark)

Calculate 6143 - 2758.
You may get a mark for using a correct method even if your answer is incorrect.

(Total for Question 5 is 2 marks)

Zara buys a notebook for 3.65 pounds and a set of pens for 1.79 pounds. She pays with a 10 pound note.
Work out how much change she should get.
You may get a mark for using a correct method even if your answer is incorrect.

(Total for Question 6 is 2 marks)

A bus leaves Norwich at 08:52 and arrives in Cambridge at 10:20.
Work out how long the journey takes, in minutes.
You may get a mark for using a correct method even if your answer is incorrect.

(Total for Question 7 is 2 marks)

A rectangular allotment measures 11 m by 7 m.
Work out the perimeter of the allotment.
You may get a mark for using a correct method even if your answer is incorrect.

(Total for Question 8 is 2 marks)

Tick the word that correctly describes an angle of 115 degrees.
acute right angle obtuse reflex

(Total for Question 9 is 1 mark)

A charity shop had 84 toys. 5/6 of the toys were sold in one week.
Work out how many toys were sold.
You may get a mark for using a correct method even if your answer is incorrect.

(Total for Question 10 is 2 marks)

In a bag, blue marbles and green marbles are in the ratio 4 : 3. There are 28 blue marbles.
Work out how many green marbles are in the bag.
You may get a mark for using a correct method even if your answer is incorrect.

(Total for Question 11 is 2 marks)

A stationery supplier delivers 14 boxes of notebooks to a school. Each box contains 36 notebooks. The notebooks are then shared equally between 8 clubs.
Work out how many notebooks each club receives.
You may get marks for using a correct method even if your answer is incorrect.

(Total for Question 12 is 3 marks)

Write these numbers in order, starting with the smallest.
0.6 0.45 0.8 0.09

(Total for Question 13 is 1 mark)

Find the missing number.
6 x ? = 3 x 28
You may get a mark for using a correct method even if your answer is incorrect.

(Total for Question 14 is 2 marks)

A square field has a perimeter of 48 m.
Work out the area of the field.
You may get a mark for using a correct method even if your answer is incorrect.

(Total for Question 15 is 2 marks)

The table shows the number of pets owned by pupils in Class 6R:
0 pets: 5 pupils 1 pet: 9 pupils 2 pets: 4 pupils 3 pets: 2 pupils

(a)How many pupils are in Class 6R altogether?(1)

(b)What is the most common number of pets owned by a pupil in the class?(1)

(Total for Question 16 is 2 marks)

A pair of trainers costs 55 pounds. In a sale they are reduced by 20%. Nadia buys the trainers online and pays an additional 4.50 pounds for postage.
Work out the total amount Nadia pays.
You may get marks for using a correct method even if your answer is incorrect.

(Total for Question 17 is 3 marks)

A tap fills a paddling pool at a steady rate of 12 litres per minute. The pool holds 200 litres when full.
Work out how many minutes it takes to fill 3/4 of the pool.
You may get marks for using a correct method even if your answer is incorrect.

(Total for Question 18 is 3 marks)

At 7am, the temperature at a ski resort was -6 degrees C. By 1pm it had risen by 13 degrees C.
Work out the temperature at 1pm.
You may get a mark for using a correct method even if your answer is incorrect.

(Total for Question 19 is 2 marks)

Ronan says, 'If you multiply any two even numbers together, the answer is always a multiple of 4.'
Is Ronan correct? Explain your answer, using an example to support your reasoning.

(Total for Question 20 is 2 marks)

A recipe for 6 muffins uses 210 g of flour.

(a)Work out how much flour is needed to make 15 muffins.
You may get a mark for using a correct method even if your answer is incorrect.(2)

(b)Write 210 g as a fraction of 1 kg. Give your answer in its simplest form.(1)

(Total for Question 21 is 3 marks)

A rectangle has vertices at (2, 1), (2, 5), (7, 5) and (7, 1) on a coordinate grid.

Figure (to be drawn): A coordinate grid with x and y axes numbered from -4 to 8, showing a rectangle plotted with vertices at (2, 1), (2, 5), (7, 5) and (7, 1).

(a)Work out the area of the rectangle.
You may get a mark for using a correct method even if your answer is incorrect.(2)

(b)The rectangle is translated 4 squares left and 3 squares up. Write the new coordinates of the vertex that was originally at (2, 1).(1)

(Total for Question 22 is 3 marks)

Mark scheme · SATS.KS2-M7 KS2 SATs-Style Maths Paper (Reasoning 6)

Question 1

B1 5000 cao
Answer: 5000

Question 2

B1 52 046 cao
Answer: 52 046

Question 3

B1 48 cao
Answer: 48

Question 4

B1 8400 cao
Answer: 8400

Question 5

M1 correct method shown, e.g. 6143 - 2758 set out in columns oe
A1 3385 cao
Answer: 3385

Question 6

M1 3.65 + 1.79 = 5.44 (total cost) oe
A1 4.56 pounds cao
Answer: 4.56 pounds

Question 7

M1 correct method, e.g. 08:52 to 09:00 is 8 minutes, then 09:00 to 10:20 is 80 minutes oe
A1 88 minutes cao
Answer: 88 minutes

Question 8

M1 2 x (11 + 7) oe
A1 36 m cao
Answer: 36 m

Question 9

B1 obtuse cao
Answer: obtuse

Question 10

M1 84 / 6 = 14 (finding one sixth) oe
A1 70 cao
Answer: 70

Question 11

M1 28 / 4 = 7 (finding the value of one part) oe
A1 21 cao
Answer: 21

Question 12

M1 14 x 36 = 504 (total number of notebooks) oe
dM1 504 / 8 (dependent on the previous method mark) oe
A1 63 cao
Answer: 63

Question 13

B1 0.09, 0.45, 0.6, 0.8 in this order cao
Answer: 0.09, 0.45, 0.6, 0.8

Question 14

M1 3 x 28 = 84 oe
A1 14 cao
Answer: 14

Question 15

M1 48 / 4 = 12 (side length) oe
A1 144 square metres cao
Answer: 144 square metres

Question 16

(a) B1 20 cao
(a) Answer: 20
(b) B1 1 (pet) cao
(b) Answer: 1 pet

Question 17

M1 10% of 55 = 5.50, so 20% = 11 oe
M1 55 - 11 = 44 (sale price) oe
A1 48.50 pounds cao
Answer: 48.50 pounds

Question 18

M1 3/4 of 200 = 150 (litres needed) oe
dM1 150 / 12 (dependent on the previous method mark) oe
A1 12.5 minutes cao
Answer: 12.5 minutes

Question 19

M1 -6 + 13 oe
A1 7 degrees C cao
Answer: 7 degrees C

Question 20

B1 Yes, Ronan is correct (always a multiple of 4)
B1 valid supporting explanation, e.g. a correct example such as 6 x 8 = 48 and 48 / 4 = 12 (a whole number), or reasoning that every even number is a multiple of 2, so two even numbers multiplied together give at least two factors of 2, which makes a multiple of 4 oe
Answer: Yes, Ronan is correct - it is always a multiple of 4.

Question 21

(a) M1 210 / 6 = 35 (flour per muffin) oe
(a) A1 525 g cao
(a) Answer: 525 g
(b) B1 21/100 cao
(b) Answer: 21/100

Question 22

(a) M1 width = 7 - 2 = 5 and height = 5 - 1 = 4 oe
(a) A1 20 square units cao
(a) Answer: 20 square units
(b) B1 (-2, 4) cao
(b) Answer: (-2, 4)

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