Write down the value of the digit 7 in the number 47,208.
(1)
2
Round 68,472 to the nearest thousand.
(1)
3
Calculate 347 x 6.
(2)
4
Calculate 950 divided by 8, giving your answer with a remainder.
(2)
5
Find 3/5 of 245.
(2)
6
Priya buys a sandwich for £2.35 and a carton of juice for £1.20. She pays with a £5 note. Work out how much change she gets.
(2)
7
Farmer Amaan has a rectangular field that is 24m long and 15m wide, as shown in the diagram. He wants to put a fence all the way around the perimeter of the field, plus an extra 3m of fencing for overlap at the gate. Work out the total length of fencing he needs.
(3)
8
A train leaves Sheffield at 09:47 and arrives in Leeds at 10:15. Work out how many minutes the journey takes.
(2)
9
Four numbers are 0.6, 0.56, 0.605 and 0.5.
(a)Write the four numbers in order, starting with the smallest.(1)
(b)Find the difference between the largest and the smallest of the four numbers.(2)
10
Three angles meet at a point on a straight line, as shown in the diagram.
(a)Work out the size of the third angle, marked x.(2)
(b)State whether angle x is acute, right-angled or obtuse. Give a reason for your answer.(1)
11
Jae and Wren share a bag of 40 marbles in the ratio 3:5. Work out how many marbles each person gets.
(3)
12
A coat costs £68. In a sale it is reduced by 25%. Work out the sale price of the coat.
(3)
13
An L-shaped garden is made from a rectangle 12m by 9m, with a smaller rectangle 4m by 3m cut out of one corner, as shown in the diagram. Work out the area of the garden.
(3)
14
The bar chart shows the number of books read in June by five children: Freya, Tomasz, Aaliyah, Ibrahim and Nia.
(a)Find the range of the number of books read.(1)
(b)Calculate the mean number of books read.(2)
15
A school orders 18 boxes of pencils. Each box contains 24 pencils. The pencils are shared equally between 9 classes, then each class is given an extra 3 pencils from a leftover box. Work out how many pencils each class receives in total.
(3)
16
Put these four values in order of size, starting with the smallest: 3/4, 0.65, 70%, 17/25.
(4)
17
Solve the equation 3n + 7 = 40.
(a)Find the value of n.(2)
(b)Find the value of 2n.(2)
18
A recipe for 6 people uses 450g of flour and 3 eggs. Chef Oluwaseun wants to make enough for 15 people. Work out the mass of flour needed, and the number of eggs needed, explaining your reasoning about the eggs.
(3)
19
Rosie has £84. She spends 3/8 of it on a jacket, then spends 20% of what remains on a book. Work out how much money she has left.
(4)
20
Ade is thinking of a number. He multiplies it by 3, then adds 8. His final answer is 50.
(a)Work out the number Ade started with.(2)
(b)Is Ade's number a multiple of 6? Give a reason for your answer.(2)
Mark scheme · KS2.M-R10 Reasoning Practice Paper 10
Question 1
B1 7000 cao
Answer: 7000
Question 2
B1 68000 cao
Answer: 68000
Question 3
M1 correct method shown, e.g. 300 x 6 + 40 x 6 + 7 x 6, or column multiplication oe
A1 2082 cao
Answer: 2082
Question 4
M1 correct division method, e.g. 8 x 100 = 800, 950 - 800 = 150, 8 x 18 = 144 oe
A1 118 remainder 6 cao
Answer: 118 remainder 6
Question 5
M1 245 / 5 = 49 (value of one fifth) oe
A1 147 cao
Answer: 147
Question 6
M1 2.35 + 1.20 = 3.55 oe
A1 £1.45 cao
Answer: £1.45
Question 7
M1 perimeter = 2 x (24 + 15) = 78 (m) oe
dM1 78 + 3 = 81, dependent on correct perimeter
A1 81 m cao
Answer: 81 m
Question 8
M1 splits the time into 09:47 to 10:00 (13 minutes) and 10:00 to 10:15 (15 minutes) oe
A1 28 minutes cao
Answer: 28 minutes
Question 9
(a) B1 0.5, 0.56, 0.6, 0.605 cao (all four in correct order)
(a) Answer: 0.5, 0.56, 0.6, 0.605
(b) M1 identifies largest as 0.605 and smallest as 0.5 oe
(b) A1 0.105 cao
(b) Answer: 0.105
Question 10
(a) M1 180 - 55 - 68 oe
(a) A1 57 degrees cao
(a) Answer: 57 degrees
(b) B1 acute, because 57 degrees is less than 90 degrees, ft their angle from part (a)
(b) Answer: Acute, because 57 degrees is less than 90 degrees
Question 11
M1 3 + 5 = 8 (total parts), 40 / 8 = 5 (value of one part) oe
A1 Jae = 3 x 5 = 15 cao
A1 Wren = 5 x 5 = 25 cao
Answer: Jae gets 15 marbles, Wren gets 25 marbles
Question 12
M1 10% of 68 = 6.80, so 25% = 6.80 x 2.5 = 17 (or equivalent method) oe
dM1 68 - 17 = 51, dependent on correct 25% found
A1 £51 cao
Answer: £51
Question 13
M1 12 x 9 = 108 (area of large rectangle) oe
M1 4 x 3 = 12 (area removed) oe
A1 96 m2 cao (108 - 12)
Answer: 96 m2
Question 14
(a) B1 6 cao
(a) Answer: 6
(b) M1 8 + 5 + 11 + 6 + 10 = 40 (total number of books) oe
(b) A1 8 cao (40 / 5)
(b) Answer: 8
Question 15
M1 18 x 24 = 432 (total pencils) oe
dM1 432 / 9 = 48, dependent on correct total
A1 51 cao (48 + 3)
Answer: 51 pencils
Question 16
M1 converts 3/4 and 17/25 to percentages: 75% and 68% oe
A1 converts 0.65 to 65% (or converts all values to a common format) cao
dM1 compares all four percentages: 65%, 68%, 70%, 75%, dependent on correct conversions
A1 0.65, 17/25, 70%, 3/4 cao (correct final order)
Answer: 0.65, 17/25, 70%, 3/4
Question 17
(a) M1 3n = 40 - 7 = 33 oe
(a) A1 n = 11 cao
(a) Answer: n = 11
(b) M1 uses their value of n and doubles it, ft
(b) A1 22 cao, ft their n
(b) Answer: 22
Question 18
M1 scale factor = 15 / 6 = 2.5 (or unit method: 450 / 6 = 75g and 3 / 6 = 0.5 eggs per person) oe
M1 flour = 450 x 2.5 = 1125g, dependent on correct scale factor
A1 cso; eggs = 3 x 2.5 = 7.5, which must be rounded up to 8 eggs since a fraction of an egg cannot be used
Answer: 1125g of flour and 8 eggs
Question 19
M1 3/8 of 84 = 31.50 (84 / 8 = 10.50, 10.50 x 3 = 31.50) oe