Kofi buys a sandwich costing 2.35 pounds and a drink costing 1.20 pounds. He pays with a 5 pound note. Work out how much change he should get.
(Total for Question 2 is 3 marks)
3
At 6 am the temperature in Leeds is -3 degrees C. By noon the temperature has risen by 8 degrees C. Work out the temperature at noon.
(Total for Question 3 is 2 marks)
4
A minibus can carry 14 passengers. A school needs to transport 87 pupils on a trip, using only minibuses of this size. Work out the least number of minibuses needed.
(Total for Question 4 is 3 marks)
5
A bus timetable and a journey are shown below.
(a)A bus leaves Elmsworth at 09:15 and arrives at Deepdene at 10:52. Work out how long the journey takes, giving your answer in hours and minutes.(2)
(b)A different bus journey takes 1 hour 48 minutes. The bus leaves at 14:05. Work out the arrival time.(2)
(Total for Question 5 is 4 marks)
6
Rounding and estimating.
(a)Round 6.482 to 1 decimal place.(1)
(b)By rounding each number to 1 significant figure, work out an estimate for (39.2 x 5.1) / 9.8(2)
(Total for Question 6 is 3 marks)
7
A washing machine costs 340 pounds. In a sale it is reduced by 15%. Work out the sale price of the washing machine.
(Total for Question 7 is 3 marks)
8
Amelia and Ben share 84 pounds in the ratio 3 : 4. Work out how much each person receives.
(Total for Question 8 is 4 marks)
9
A plank of wood is 2.4 metres long.
(a)Work out the length of the plank in centimetres.(1)
(b)Four planks, each 2.4 metres long, are laid end to end in a straight line. A gap of 5 cm is left at each of the 3 joins between the planks. Work out the total length, in metres, of the four planks and the gaps.(3)
(Total for Question 9 is 4 marks)
10
Priya buys 3 notebooks costing 1.85 pounds each and 2 pens costing 65p each. She pays with two 5 pound notes. Work out how much change she should get.
(Total for Question 10 is 4 marks)
11
A cinema charges: Adult ticket 8.50 pounds, Child ticket 5.25 pounds, Family ticket (exactly 2 adults and 2 children) 24.00 pounds. A group of 3 adults and 5 children want to go to the cinema. Work out the cheapest total cost for the group's tickets, using one family ticket and buying the remaining tickets individually.
(Total for Question 11 is 4 marks)
12
Toothpaste is sold in two sizes: 75 ml for 1.35 pounds, and 125 ml for 2.10 pounds. Work out which size is the better value for money. You must show your working.
(Total for Question 12 is 4 marks)
13
A car travels 126 miles in 2 hours 15 minutes. Work out the average speed of the car in miles per hour.
(Total for Question 13 is 3 marks)
14
There are 30 students in a class.
(a)2/5 of the students walk to school. Work out the number of students who walk to school.(2)
(b)Of the students who do not walk to school, 1/3 travel by bus. Work out how many students travel by bus.(2)
(Total for Question 14 is 4 marks)
15
Tom's bank balance is -45 pounds. He deposits 120 pounds and then withdraws 68 pounds. Work out Tom's new balance.
(Total for Question 15 is 3 marks)
16
A restaurant bill is for 4 meals, each costing 11.95 pounds, plus a 10% service charge.
(a)By rounding the cost of each meal to the nearest pound, estimate the total bill.(2)
(b)Work out the exact total bill.(2)
(Total for Question 16 is 4 marks)
17
A phone shop offers two deals for the same phone. Deal A: 28 pounds per month for 24 months, plus a one-off upfront payment of 49 pounds. Deal B: 35 pounds per month for 18 months, with no upfront payment. Work out which deal is cheaper overall, and by how much.
(Total for Question 17 is 5 marks)
18
A recipe for 8 people needs 480 g of flour and 4 eggs. Grace wants to make the recipe for 6 people.
(a)Work out how many grams of flour Grace needs.(2)
(b)Work out how many eggs Grace needs.(2)
(Total for Question 18 is 4 marks)
19
A garden path is a rectangle 8.5 m long and 1.2 m wide. Paving costs 24.50 pounds per square metre. Work out the total cost of paving the path, giving your answer to the nearest pound.
Diagram NOT accurately drawn
(Total for Question 19 is 4 marks)
20
A school is organising a trip for 92 students and 6 teachers, so 98 people in total. Coach hire costs 315 pounds per coach, and each coach seats 53 passengers. The entry ticket to the venue costs 7.40 pounds per person, and there is a 20% discount off the total ticket cost because the group has more than 50 people. Work out a) the total cost of the trip, and b) the cost per student if this total cost is shared equally amongst the 92 students, giving your answer to the nearest penny.
(Total for Question 20 is 6 marks)
Mark scheme · 2.1 Calculation Problems
Question 1
(a) M1 2 x 5 (= 10) seen
(a) A1 16 cao
(a) Answer: 16
(b) M1 6 + 2 (= 8) seen
(b) A1 40 cao
(b) Answer: 40
Question 2
M1 2.35 + 1.20 (= 3.55) seen
M1 5.00 - 3.55 (dependent method, or ft their total)
A1 1.45 pounds cao
Answer: 1.45 pounds
Question 3
M1 -3 + 8 seen, or correct method combining the values
A1 5 degrees C cao
Answer: 5 degrees C
Question 4
M1 87 / 14 (= 6.21..) seen, or repeated addition/subtraction of 14 reaching at least 84
M1 recognises that 6 minibuses are not enough (6 x 14 = 84, leaving 3 pupils), so rounds up
A1 7 cao
Answer: 7 minibuses
Question 5
(a) M1 09:15 to 10:15 (= 1 hour) seen, or equivalent complete method