Using a Calculator (Part 2) - Worksheets, Questions and Revision

22 original exam-style questions - 5 pages of questions with a full mark scheme - free printable PDF.

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2.2B Using a Calculator (Part 2)

EDEXCEL 1MA1 · Calculator allowed · about 55 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Work out 6² - 3.5 x 4

(Total for Question 1 is 1 mark)

Work out 35% of 260

(Total for Question 2 is 1 mark)

Work out the value of √169 x 2³

(Total for Question 3 is 2 marks)

Work out the value of 5^-3

(Total for Question 4 is 1 mark)

Work out the value of 2.7³ - 1.8³

(Total for Question 5 is 3 marks)

Use your calculator to work out 5/13 as a decimal. Give your answer correct to 3 decimal places.

(Total for Question 6 is 2 marks)

Jamal's bank balance is -18.50 pounds. He spends another 6.75 pounds using his card. Work out his new balance.

(Total for Question 7 is 2 marks)

A ticketing system recorded 24867.4 people at a football match. Round this number to 2 significant figures.

(Total for Question 8 is 1 mark)

A laptop costs 480 pounds. In a sale the price is reduced by 15%. Work out the sale price.

(Total for Question 9 is 2 marks)

Show that 5.2² - 3 x 8.4 = 1.84

(Total for Question 10 is 2 marks)

Ben wants to work out (8.4 + 3.6) / 2. He types 8.4 + 3.6 / 2 into his calculator and gets an answer of 10.2. Explain the mistake Ben has made, and work out the correct answer.

(Total for Question 11 is 3 marks)

The exchange rate is 1 pound = 1.17 euros. Zara changes 250 pounds into euros. Work out how many euros she receives.

(Total for Question 12 is 2 marks)

A car travels at an average speed of 56 mph for 2.25 hours.

(a)Work out the distance travelled.(2)

(b)The car uses fuel costing 14 pence per mile. Work out the total fuel cost for the journey. Give your answer in pounds.(2)

(Total for Question 13 is 4 marks)

The table shows the number of pupils in four tutor groups.

Tutor group	Number of pupils
7A	28
7B	31
7C	27
7D	30

Work out the mean number of pupils per tutor group.

(Total for Question 14 is 2 marks)

Ride tokens cost 2.35 pounds each. Freya has 15 pounds to spend on tokens. Work out the greatest number of tokens she can buy.

(Total for Question 15 is 2 marks)

A cyclist rides 45 km in 1 hour 30 minutes. Work out her average speed in km/h.

(Total for Question 16 is 3 marks)

A taxi company charges a fixed pickup fee of 3.50 pounds, plus 1.85 pounds for each mile travelled. Grace's taxi journey is 6.4 miles. Work out the total cost of her journey.

(Total for Question 17 is 3 marks)

Work out the value of √90.25 / 2²

(Total for Question 18 is 3 marks)

Work out (7.2 x 10⁸) / (4 x 10³). Give your answer in standard form.

(Total for Question 19 is 3 marks)

A cylindrical water tank has radius 1.4 m and height 2.5 m. Work out the volume of the tank. Give your answer correct to 3 significant figures.
(Volume of a cylinder = π x r² x h)

Figure (to be drawn): A cylinder standing upright, labelled with radius 1.4 m across the circular top and height 2.5 m along the vertical side.

(Total for Question 20 is 3 marks)

A gym offers two membership plans. Plan A: 28 pounds per month, no joining fee. Plan B: 45 pounds joining fee, then 19 pounds per month. Work out which plan is cheaper for 8 months of membership. You must show working.

(Total for Question 21 is 4 marks)

A car was bought for 14000 pounds. Its value decreases by 20% in the first year, then decreases by a further 15% of its new value in the second year. Work out the value of the car after 2 years.

(Total for Question 22 is 3 marks)

Mark scheme · 2.2B Using a Calculator (Part 2)

Question 1

B1 22 cao
Answer: 22

Question 2

B1 91 cao
Answer: 91

Question 3

M1 13 or 8 seen
A1 104 cao
Answer: 104

Question 4

B1 0.008 oe cao
Answer: 0.008

Question 5

M1 19.683 (or awrt 19.68) seen
M1 5.832 (or awrt 5.83) seen
A1 13.851 cao (or awrt 13.85)
Answer: 13.851

Question 6

M1 0.3846... (awrt 0.3846) seen
A1 0.385 cao (3 dp)
Answer: 0.385

Question 7

M1 -18.50 - 6.75 seen or correct process
A1 -25.25 cao (pounds)
Answer: -25.25 pounds

Question 8

B1 25000 cao
Answer: 25000

Question 9

M1 0.85 x 480, or 480 - (0.15 x 480), seen
A1 408 cao (pounds)
Answer: 408 pounds

Question 10

M1 27.04 and 25.2 both seen
A1 cso, fully correct working shown leading to 1.84
Answer: 1.84 (shown)

Question 11

C1 correctly identifies that Ben needed to use brackets around 8.4 + 3.6 before dividing by 2 (oe), so his calculator divided only the 3.6 by 2
M1 (8.4 + 3.6) / 2 = 12 / 2 seen
A1 6 cao
Answer: 6 (Ben should have used brackets: (8.4 + 3.6) / 2)

Question 12

M1 250 x 1.17 seen
A1 292.50 cao (euros)
Answer: 292.50 euros

Question 13

(a) M1 56 x 2.25 seen or correct process
(a) A1 126 cao (miles)
(a) Answer: 126 miles
(b) M1 their (a) x 0.14 seen, ft
(b) A1 17.64 cao (pounds, ft from part a)
(b) Answer: 17.64 pounds

Question 14

M1 28 + 31 + 27 + 30 (= 116) seen, or correct process
A1 29 cao
Answer: 29

Question 15

M1 15/2.35 (= awrt 6.38) seen
A1 6 cao (must round down, not to nearest whole number)
Answer: 6

Question 16

M1 1 hour 30 minutes converted to 1.5 hours (or 90 minutes) seen
M1 45 / 1.5 seen
A1 30 cao (km/h)
Answer: 30 km/h

Question 17

M1 6.4 x 1.85 (= 11.84) seen
M1 their 11.84 + 3.50 (or correct process 3.50 + 6.4 x 1.85), ft, seen
A1 15.34 cao (pounds)
Answer: 15.34 pounds

Question 18

M1 9.5 seen
M1 9.5 / 4 seen
A1 2.375 cao
Answer: 2.375

Question 19

M1 1.8 seen (or 7.2/4 = 1.8 seen)
M1 correct index, 10⁵, seen (10⁸ / 10³ = 10⁵)
A1 1.8 x 10⁵ cao
Answer: 1.8 x 10⁵

Question 20

M1 1.4² x 2.5 (= 4.9) seen
M1 π x 4.9 seen
A1 awrt 15.4 (m³)
Answer: 15.4 m³

Question 21

M1 28 x 8 (= 224) seen
M1 45 + 19 x 8 (= 197) seen, or correct process for Plan B total
A1 224 and 197 both correct, with correct numerical comparison shown (197 < 224)
C1 correct conclusion with reason: Plan B, since it costs less over 8 months, oe
Answer: Plan B (197 pounds) is cheaper than Plan A (224 pounds) for 8 months

Question 22

M1 0.8 x 14000 (= 11200) seen
M1 0.85 x their 11200, ft, seen
A1 9520 cao (pounds)
Answer: 9520 pounds

Question 22

3 marks

Your answer

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Using a Calculator (Part 2) - Worksheets, Questions and Revision

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2.2B Using a Calculator (Part 2)

Question 1

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Question 4

Question 5

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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 21

Question 22

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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 21

Question 22