Write these numbers in order, starting with the smallest: 3082, 3028, 3208, 3820
(1)
2
Work out 5064 - 2879. Show your method.
(2)
3
A minibus has 8 rows of seats. Each row holds 6 passengers. Work out the total number of seats on the minibus.
(2)
4
Round 68472 to the nearest thousand.
(1)
5
Ffion has GBP360. She spends 2/5 of it on a new bike. How much money does she have left?
(3)
6
Oliver buys a comic for GBP2.35 and a magazine for GBP3.89. He pays with a GBP10 note. How much change does he get?
(2)
7
A train leaves Cardiff at 09:47 and arrives in Bristol at 10:22. How many minutes does the journey take?
(2)
8
A school is ordering pencils for a new term. Pencils come in packs of 12 and cost GBP1.45 per pack. The school needs at least 250 pencils. Work out the total cost of buying enough packs.
(3)
9
A plank of wood is 2.4m long. Freya cuts off a piece 65cm long. How many centimetres of the plank remain?
(2)
10
A rectangular vegetable patch measures 3.5m by 2m. Priya wants to put a fence around the patch and cover the whole area with compost.
(a)Work out the perimeter of the patch.(2)
(b)Work out the area of the patch.(1)
11
Two angles lie on a straight line. One angle is 118 degrees. Work out the size of the other angle.
(2)
12
Write these fractions in order, starting with the smallest: 3/4, 5/8, 7/12
(2)
13
In a survey of 300 tutors, 24% said they prefer online lessons. Of those who prefer online lessons, 1/6 said they use video calls every day. How many tutors said they use video calls every day?
(3)
14
Chidi read 5 books in June, Grace read 8 books, Tomasz read 3 books and Amara read 6 books. Work out the mean number of books read by the four pupils.
(2)
15
At 06:00 the temperature in Leeds was -3 degrees C. By 13:00 it had risen by 11 degrees C. By 20:00 it had fallen by 6 degrees C from its 13:00 value. Work out the temperature at 20:00.
(3)
16
A fruit squash is made by mixing juice and water in the ratio 2:5. Isla makes 700ml of squash. How many millilitres of juice does she use?
(3)
17
The nth term of a sequence is 4n + 3.
(a)Work out the 6th term of the sequence.(1)
(b)Nadia says, '100 is a term in this sequence.' Show that Nadia is wrong.(3)
18
A fun run costs GBP4.75 per entry for adults and GBP2.50 per entry for children. A family of 2 adults and 3 children enters the fun run. They pay with three GBP10 notes. How much change do they receive?
(3)
19
A school is taking 214 pupils on a trip. Each coach holds 36 seats. Coaches cost GBP185 each to hire for the day, plus a single GBP15 booking fee for the whole order.
(a)Work out the smallest number of coaches needed to take all 214 pupils.(2)
(b)Work out the total cost of hiring this number of coaches, including the booking fee.(2)
20
Three consecutive even numbers have a sum of 138.
(a)Using n for the smallest of the three numbers, form an equation and solve it to find n.(3)
(b)State the three consecutive even numbers.(1)
Mark scheme · KS2.M-R7 Reasoning Practice Paper 7
Question 1
B1 3028, 3082, 3208, 3820 cao (all four in correct order)
Answer: 3028, 3082, 3208, 3820
Question 2
M1 correct column method with at least one exchange shown oe
A1 2185 cao
Answer: 2185
Question 3
M1 8 x 6 oe
A1 48 cao
Answer: 48 seats
Question 4
B1 68000 cao
Answer: 68000
Question 5
M1 360 / 5 = 72 (finds one fifth) oe
M1 72 x 2 = 144 (amount spent) oe
A1 216 cao
Answer: GBP216
Question 6
M1 2.35 + 3.89 = 6.24 oe
A1 GBP3.76 cao
Answer: GBP3.76
Question 7
M1 splits the time into 09:47 to 10:00 (13 minutes) and 10:00 to 10:22 (22 minutes) oe
A1 35 minutes cao
Answer: 35 minutes
Question 8
M1 250 / 12 = 20.8... (or 20 remainder 10) oe
dM1 rounds up to 21 packs (enough for 250 pencils), dependent on M1
A1 GBP30.45 cao
Answer: GBP30.45 (21 packs)
Question 9
M1 2.4m = 240cm oe
A1 175cm cao
Answer: 175cm
Question 10
(a) M1 3.5 + 2 + 3.5 + 2 oe
(a) A1 11m cao
(a) Answer: 11m
(b) B1 7 sq m cao
(b) Answer: 7 sq m
Question 11
M1 180 - 118 oe
A1 62 degrees cao
Answer: 62 degrees
Question 12
M1 converts to a common denominator, e.g. 18/24, 15/24, 14/24 oe
A1 7/12, 5/8, 3/4 cao (all three in correct order)
Answer: 7/12, 5/8, 3/4
Question 13
M1 24% of 300 = 72 oe
dM1 1/6 of 72, dependent on M1
A1 12 cao
Answer: 12 tutors
Question 14
M1 5 + 8 + 3 + 6 = 22 oe
A1 5.5 cao (accept 5 1/2)
Answer: 5.5 books
Question 15
M1 -3 + 11 = 8 oe
dM1 8 - 6, dependent on M1
A1 2 degrees C cao
Answer: 2 degrees C
Question 16
M1 700 / 7 = 100 (value of one part) oe
dM1 100 x 2, dependent on M1
A1 200ml cao
Answer: 200ml
Question 17
(a) B1 27 cao
(a) Answer: 27
(b) M1 forms 4n + 3 = 100 oe
(b) M1 solves to n = 24.25 (or equivalent, e.g. shows 100 - 3 = 97 is not a multiple of 4)
(b) A1 cso; correct conclusion that n is not a whole number, so 100 cannot be a term
(b) Answer: 100 is not a term, since n = 24.25 is not a whole number
Question 18
M1 2 x 4.75 = 9.50 and 3 x 2.50 = 7.50 oe
M1 9.50 + 7.50 = 17.00 oe
A1 GBP13.00 cao
Answer: GBP13.00
Question 19
(a) M1 214 / 36 = 5.9... (or 5 remainder 34) oe
(a) A1 6 coaches cao
(a) Answer: 6 coaches
(b) M1 6 x 185 = 1110, ft their answer to part (a) oe