Write the value of the digit 8 in the number 682,451.
(1)
2
The table shows the temperature recorded in four UK cities at 07:00 on 12/01/2026. Aberdeen -4C | Cardiff -1C | Leeds 2C | Belfast -6C Write the cities in order of temperature, starting with the coldest.
(1)
3
Find 3/8 of 64.
(1)
4
Write the Roman numeral XLIV as a number.
(1)
5
Write the number of degrees in two right angles.
(1)
6
Ffion is fencing a rectangular vegetable plot that is 3.5m long and 2m wide. Calculate the total length of fencing she needs to go all the way around the plot.
(2)
7
Kwame buys a sandwich for £2.35 and a bottle of juice for £1.20. He pays with a £5 note. Calculate how much change he gets.
(2)
8
A train leaves Leeds at 09:52 and arrives in York at 10:27. Calculate how many minutes the journey takes.
(2)
9
The table shows the number of books borrowed from a school library on four days. Monday 34 | Tuesday 28 | Wednesday 45 | Thursday 19 Calculate how many more books were borrowed on Wednesday than on Thursday.
(2)
10
Priya ate 1/4 of a pizza. Her brother ate 3/8 of the same pizza. What fraction of the pizza was eaten altogether?
(2)
11
A recipe for 12 muffins needs 180g of flour. Zainab wants to make 20 muffins using the same recipe. Calculate how much flour she needs.
(2)
12
A coat costs £68. In a sale, the price is reduced by 25%. Calculate the sale price of the coat.
(2)
13
Ryan's garden is a rectangle 9m long and 6m wide. He wants to lay turf on the whole garden except for a square patio in one corner, which measures 3m by 3m. Calculate the area of turf Ryan needs.
(3)
14
Amara has three pieces of ribbon: 1.2m, 85cm and 640mm. She joins them end to end with no overlap. Calculate the total length of ribbon, giving your answer in metres.
(3)
15
A minibus can carry 16 passengers. 138 pupils from a school need to travel to a museum by minibus. Calculate the smallest number of minibuses needed to take all the pupils.
(3)
16
Look at this number sequence:
7, 15, 23, 31, ...
The rule is 'add 8 each time'.
(a)Write the next two terms in the sequence.(1)
(b)One term in the sequence is 111. Find the term immediately before it in the sequence.(2)
17
Five friends compared how many minutes they spent reading one evening: Olivia read for 18 minutes, Hassan read for 36 minutes, Freya read for 15 minutes, Callum read for 40 minutes and Mia read for 21 minutes.
(a)Calculate the mean number of minutes spent reading.(2)
(b)Hassan read for exactly twice as many minutes as one of the other friends. Write down which friend this was.(1)
18
A quadrilateral has vertices at coordinates (2,1), (2,5), (6,5) and (6,1).
(a)Write down the name of this quadrilateral.(1)
(b)The quadrilateral is reflected in the line x = 6. Write down the coordinates of the image of the vertex that was originally at (2,1).(2)
19
A school is organising a theme park trip. - Entry tickets cost £24 per pupil. - A packed lunch costs £3.50 per pupil. - Coach hire costs a flat fee of £180, shared equally between all the pupils going. 128 pupils are going on the trip. Calculate the total cost per pupil, giving your answer to the nearest penny.
(4)
20
A school sports club has 150 members. 2/5 of the members are girls. 60% of the girls also play in the netball team. Of the boys, 1/6 also play in the cricket team. Calculate how many more girls play netball than boys play cricket.
(4)
Mark scheme · KS2.M-R6 Reasoning Practice Paper 6
Question 1
B1 80000 oe (accept 80,000 or 8 ten thousands); cao
Answer: 80,000
Question 2
B1 Belfast, Aberdeen, Cardiff, Leeds (all four correctly ordered); cao
Answer: Belfast, Aberdeen, Cardiff, Leeds
Question 3
B1 24 cao
Answer: 24
Question 4
B1 44 cao
Answer: 44
Question 5
B1 180 (degrees) cao
Answer: 180 degrees
Question 6
M1 3.5+3.5+2+2 or 2 x (3.5+2) (method for perimeter) seen
A1 11 (m) cao
Answer: 11m
Question 7
M1 2.35 + 1.20 (=3.55) or 5 - (2.35+1.20) seen
A1 £1.45 oe cao
Answer: £1.45
Question 8
M1 correct method seen, e.g. 09:52 to 10:00 = 8 minutes, then 10:00 to 10:27 = 27 minutes
A1 35 (minutes) cao
Answer: 35 minutes
Question 9
M1 45-19 seen (or equivalent subtraction identified)
A1 26 cao
Answer: 26 books
Question 10
M1 1/4 converted to 2/8 (common denominator) seen
A1 5/8 oe cao
Answer: 5/8
Question 11
M1 180 div 12 (=15g per muffin) or equivalent scaling method seen
A1 300 (g) cao
Answer: 300g
Question 12
M1 25% of 68 (=17) found
A1 £51 cao
Answer: £51
Question 13
M1 9 x 6 (=54) area of whole garden found
M1 3 x 3 (=9) area of patio found
A1 45 (m2) cao
Answer: 45 m2
Question 14
M1 all three lengths converted to the same unit, e.g. 120cm, 85cm, 64cm