Calculation Problems (Part 2) - Worksheets, Questions and Revision

20 original exam-style questions - 6 pages of questions with a full mark scheme - free printable PDF.

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2.1B Calculation Problems (Part 2)

EDEXCEL 1MA1 · Calculator allowed · about 75 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Work out the value of each calculation.

(a)Work out 3 x 4 - 2²(2)

(b)Work out √25 + (7 - 3) x 2(2)

(Total for Question 1 is 4 marks)

Four friends, Leon, Zara, Josh and Aisha, share a taxi fare of 17.80 pounds equally between them. Work out how much each friend pays.

(Total for Question 2 is 2 marks)

A market stall sells punnets of strawberries for 2.20 pounds each. Ravi buys 4 punnets and pays with a 10 pound note. Work out how much change he should get.

(Total for Question 3 is 3 marks)

The temperature inside a freezer is 4 degrees C. The freezer is switched to a colder setting, and the temperature falls by 3 degrees C every 10 minutes. Work out the temperature inside the freezer after 30 minutes.

(Total for Question 4 is 3 marks)

Rounding and estimating.

(a)Round 0.0672 to 2 significant figures.(1)

(b)By rounding each number to 1 significant figure, work out an estimate for (68.2 - 23.5) x 4.9(2)

(Total for Question 5 is 3 marks)

A train timetable is shown below.

Station	Train A	Train B
Carnforth	08:12	08:47
Lancaster	08:26	09:01
Preston	08:58	09:33

(a)Work out how long Train A takes to travel from Carnforth to Preston.(2)

(b)One morning, Train B leaves Carnforth 6 minutes late. Its journey from Carnforth to Lancaster still takes the same amount of time as shown in the timetable. Work out the actual time Train B arrives at Lancaster that morning.(3)

(Total for Question 6 is 5 marks)

A gym membership currently costs 32 pounds per month. From January, the price will increase by 8%. Work out the new monthly cost.

(Total for Question 7 is 3 marks)

A recipe for a loaf of bread uses 750 g of flour.

(a)Work out 750 g in kilograms.(1)

(b)Sana has a 5 kg bag of flour and uses it only to make loaves using this recipe. Work out the greatest number of complete loaves she can make from the bag, and how many grams of flour would be left over.(3)

(Total for Question 8 is 4 marks)

A charity bake sale raises 90 pounds, which is shared between three classes, Class 7G, Class 8B and Class 9R, in the ratio 2 : 3 : 4. Work out how much money each class receives.

(Total for Question 9 is 4 marks)

Emma says that 40% of 85 is greater than 3/8 of 90. Show that Emma is correct.

(Total for Question 10 is 3 marks)

Sara buys a book for 6.85 pounds and a magazine for 2.40 pounds. She pays with a 10 pound note. Her working to find her change is shown below, but she has made one error.

6.85 + 2.40 = 8.25
10.00 - 8.25 = 1.75

Identify Sara's error, and work out the correct amount of change she should get.

(Total for Question 11 is 4 marks)

Fatima works 32 hours in a week at a rate of 9.50 pounds per hour. She also works 4 hours of overtime, which is paid at 1.5 times her normal hourly rate. Work out her total pay for the week.

(Total for Question 12 is 4 marks)

A jacket normally costs 45 pounds. In a sale, the price is reduced by 1/5. Work out the sale price of the jacket.

(Total for Question 13 is 3 marks)

A car park charges 1.50 pounds for the first hour, then 90p for each additional hour, up to a maximum charge of 8.00 pounds for the whole day. Nadia parks her car for 6 hours. Work out how much she should pay.

(Total for Question 14 is 3 marks)

A train travels at an average speed of 75 mph. Work out how long, in minutes, the train takes to travel 60 miles.

(Total for Question 15 is 3 marks)

A cuboid water tank has length 1.2 m, width 0.8 m and height 1.5 m. Work out the capacity of the tank in litres. (1 cubic metre = 1000 litres)

(Total for Question 16 is 3 marks)

After a sale discount of 20%, a jumper costs 28 pounds. Work out the original price of the jumper before the discount.

(Total for Question 17 is 3 marks)

A supermarket sells rice in three bag sizes: 500 g for 1.10 pounds, 1 kg for 2.05 pounds, and 2.5 kg for 4.80 pounds. Work out which bag size gives the best value for money. You must show your working.

(Total for Question 18 is 5 marks)

Aaliyah invests 500 pounds in a savings account that pays 4% interest per year, compounded annually. Work out the value of her investment after 2 years. Give your answer to the nearest penny.

(Total for Question 19 is 3 marks)

A school fete committee is organising a raffle and a cake stall.
- Raffle tickets cost 0.50 pounds each. They print 400 tickets and sell 85% of them.
- The cake stall sells 60 cakes at 1.20 pounds each, but a discount of 10% is applied to the total cake takings because it is the last hour of the fete.
- Running the fete costs 45 pounds for hall hire and 18 pounds for materials.
Work out the total profit made by the fete.

(Total for Question 20 is 6 marks)

Mark scheme · 2.1B Calculation Problems (Part 2)

Question 1

(a) M1 3 x 4 (= 12) or 2² (= 4) seen
(a) A1 8 cao
(a) Answer: 8
(b) M1 √25 (= 5) or (7 - 3) x 2 (= 8) seen
(b) A1 13 cao
(b) Answer: 13

Question 2

M1 17.80 / 4 seen
A1 4.45 pounds cao
Answer: 4.45 pounds

Question 3

M1 4 x 2.20 (= 8.80) seen
M1 10.00 - their 8.80 (dependent method)
A1 1.20 pounds cao
Answer: 1.20 pounds

Question 4

M1 3 x 3 (= 9) seen, the number of 10-minute intervals multiplied by the fall per interval
M1 4 - their 9 (dependent method)
A1 -5 degrees C cao
Answer: -5 degrees C

Question 5

(a) B1 0.067 cao
(a) Answer: 0.067
(b) M1 68.2, 23.5 and 4.9 rounded to 70, 20 and 5 respectively
(b) A1 250 cao
(b) Answer: 250

Question 6

(a) M1 08:12 to 08:58 seen, or equivalent complete method
(a) A1 46 minutes cao
(a) Answer: 46 minutes
(b) M1 09:01 - 08:47 (= 14 minutes) seen, the scheduled journey time
(b) M1 08:47 + 6 minutes (= 08:53), dependent method, the actual departure time
(b) A1 09:07 cao
(b) Answer: 09:07

Question 7

M1 0.08 x 32 (= 2.56) seen
M1 32 + their 2.56 (dependent method)
A1 34.56 pounds cao
Answer: 34.56 pounds

Question 8

(a) B1 0.75 kg cao
(a) Answer: 0.75 kg
(b) M1 5000 / 750 (= 6.67) seen, or repeated addition/subtraction of 750 reaching at least 4500
(b) M1 6 x 750 (= 4500), dependent method, recognising 6 complete loaves
(b) A1 6 loaves, with 500 g left over, cao
(b) Answer: 6 loaves, with 500 g of flour left over

Question 9

M1 2 + 3 + 4 (= 9) seen
M1 90 / 9 (= 10), dependent method
A1 7G receives 20 pounds and 8B receives 30 pounds, cao
A1 9R receives 40 pounds cao
Answer: 7G: 20 pounds, 8B: 30 pounds, 9R: 40 pounds

Question 10

M1 0.4 x 85 (= 34) seen
M1 3/8 x 90 (= 33.75) seen, or 90 / 8 x 3
C1 34 > 33.75, so Emma is correct, cso (fully correct working shown for both values)
Answer: Emma is correct (34 > 33.75)

Question 11

B1 identifies that 6.85 + 2.40 does not equal 8.25 (the addition line is the error)
B1 states the correct total, 9.25 pounds
M1 10.00 - 9.25 (dependent method, or ft their corrected total)
A1 0.75 pounds cao
Answer: Sara added 6.85 and 2.40 incorrectly; the correct change is 0.75 pounds

Question 12

M1 32 x 9.50 (= 304) seen
M1 9.50 x 1.5 (= 14.25) seen, the overtime rate
M1 4 x their 14.25 (= 57), dependent method
A1 361 pounds cao
Answer: 361 pounds

Question 13

M1 45 / 5 (= 9) seen
M1 45 - their 9 (dependent method)
A1 36 pounds cao
Answer: 36 pounds

Question 14

M1 5 x 0.90 (= 4.50) seen, the cost of the additional hours
M1 1.50 + their 4.50 (dependent method)
A1 6.00 pounds cao (since 6.00 is below the 8.00 pounds daily maximum)
Answer: 6.00 pounds

Question 15

M1 60 / 75 (= 0.8) seen
M1 their 0.8 x 60 (dependent method), converting hours to minutes
A1 48 minutes cao
Answer: 48 minutes

Question 16

M1 1.2 x 0.8 x 1.5 (= 1.44) seen, the volume in cubic metres
M1 their 1.44 x 1000 (dependent method)
A1 1440 litres cao
Answer: 1440 litres

Question 17

M1 100% - 20% = 80% seen, or 0.8 identified as the multiplier
M1 28 / 0.8 (dependent method)
A1 35 pounds cao
Answer: 35 pounds

Question 18

M1 1.10 / 500 seen (= 0.22 pounds per 100 g)
M1 2.05 / 1000 seen (= 0.205 pounds per 100 g)
M1 4.80 / 2500 seen (= 0.192 pounds per 100 g)
A1 correct comparison of the three unit costs
C1 correct conclusion that the 2.5 kg bag is the best value, with a reason
Answer: the 2.5 kg bag is the best value (about 19.2p per 100 g, compared with 20.5p and 22p)

Question 19

M1 500 x 1.04 (= 520) seen, the value after 1 year
M1 their 520 x 1.04 (dependent method), or 500 x 1.04² seen
A1 540.80 pounds cao
Answer: 540.80 pounds

Question 20

M1 0.85 x 400 (= 340) seen
M1 340 x 0.50 (= 170), dependent method, the raffle income
M1 60 x 1.20 (= 72) seen
M1 their 72 x 0.9 (= 64.80), dependent method, the cake income after discount
M1 (their 170 + their 64.80) - (45 + 18), dependent method
A1 171.80 pounds cao
Answer: 171.80 pounds

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Calculation Problems (Part 2) - Worksheets, Questions and Revision

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2.1B Calculation Problems (Part 2)

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20