Nadia buys 3 tins of paint. Each tin costs 8.75 pounds. Work out the total cost of the 3 tins of paint.
(Total for Question 2 is 2 marks)
3
Work out the value of √81 + 52
(Total for Question 3 is 2 marks)
4
At 6 am the temperature in Aoife's garden was -4.5 degrees C. By noon the temperature had risen by 9.8 degrees C. Work out the temperature at noon.
(Total for Question 4 is 2 marks)
5
Work out the value of cbrt(216) - 23
(Total for Question 5 is 2 marks)
6
Work out the value of 1/0.25 + 1/0.5
(Total for Question 6 is 2 marks)
7
Work out (7.2 + 3.8) x (9.6 - 4.6)
(Total for Question 7 is 3 marks)
8
A calculator shows the answer to 22/7 as 3.142857143. Round this answer to 3 significant figures.
(Total for Question 8 is 1 mark)
9
A circular pond has diameter 3.6 m. Work out the circumference of the pond. Give your answer correct to 1 decimal place.
Diagram NOT accurately drawn
(Total for Question 9 is 2 marks)
10
Work out the value of 2.53 x 4
(Total for Question 10 is 3 marks)
11
By rounding each number to 1 significant figure, work out an estimate for the value of (19.6 x 4.8)/2.1
(Total for Question 11 is 2 marks)
12
Amelia cycles 18 miles in 2.4 hours.
(a)Work out her average speed in miles per hour.(2)
(b)Write 2.4 hours in hours and minutes.(2)
(Total for Question 12 is 4 marks)
13
Work out the value of (5.6 + 3.4)/(2.5 - 0.7)
(Total for Question 13 is 3 marks)
14
Use your calculator to work out √40/3. Give your answer correct to 2 decimal places.
(Total for Question 14 is 3 marks)
15
A minibus can carry a maximum of 15 passengers. 82 people need transporting to a concert. Work out the least number of minibuses needed.
(Total for Question 15 is 2 marks)
16
A ladder leans against a vertical wall. The foot of the ladder is 1.8 m from the wall. The ladder reaches 4.2 m up the wall. Work out the length of the ladder. Give your answer correct to 1 decimal place.
Diagram NOT accurately drawn
(Total for Question 16 is 3 marks)
17
Use your calculator to work out 4.8 x 105 x 3.6 x 10-2. Give your answer in standard form.
(Total for Question 17 is 3 marks)
18
The temperatures, in degrees C, at five different times during one winter's day in Sheffield were: -2, 3, 5, -1, 6
(a)Work out the mean temperature.(2)
(b)Work out how many degrees warmer the highest temperature was than the mean temperature.(2)
(Total for Question 18 is 4 marks)
19
Work out the value of (6.42 - 3.92)/(6.4 - 3.9)
(Total for Question 19 is 3 marks)
20
A supermarket sells orange juice in two sizes: Small bottle: 750 ml for 1.65 pounds Large bottle: 2 litres for 3.96 pounds Work out which bottle is the better value for money. You must show working to support your answer.
(Total for Question 20 is 4 marks)
Mark scheme · 2.2 Using a Calculator
Question 1
B1 13.4 cao
Answer: 13.4
Question 2
M1 8.75 x 3 seen or correct process
A1 26.25 cao (pounds)
Answer: 26.25 pounds
Question 3
M1 9 or 25 seen
A1 34 cao
Answer: 34
Question 4
M1 -4.5 + 9.8 seen or correct process
A1 5.3 cao (degrees C)
Answer: 5.3 degrees C
Question 5
M1 6 or 8 seen
A1 -2 cao
Answer: -2
Question 6
M1 4 or 2 seen
A1 6 cao
Answer: 6
Question 7
M1 11 (7.2 + 3.8) seen
M1 5 (9.6 - 4.6) seen
A1 55 cao
Answer: 55
Question 8
B1 3.14 cao
Answer: 3.14
Question 9
M1 π x 3.6 or 11.3... seen
A1 awrt 11.3 (m)
Answer: 11.3 m
Question 10
M1 2.53 = 15.625 seen
M1 15.625 x 4 (ft) seen
A1 62.5 cao
Answer: 62.5
Question 11
M1 20, 5 and 2 seen (correct rounding to 1 sf, oe)
A1 50 (ft from correct rounding)
Answer: 50
Question 12
(a) M1 18/2.4 seen or correct process
(a) A1 7.5 cao (mph)
(a) Answer: 7.5 mph
(b) M1 0.4 x 60 (=24) seen or correct process
(b) A1 2 hours 24 minutes cao
(b) Answer: 2 hours 24 minutes
Question 13
M1 9 (5.6 + 3.4) seen
M1 1.8 (2.5 - 0.7) seen
A1 5 cao
Answer: 5
Question 14
M1 awrt 6.32 for √40 seen
M1 6.32.../3 (awrt 2.10...) seen
A1 2.11 cao (2 dp)
Answer: 2.11
Question 15
M1 82/15 (= awrt 5.47) seen
A1 6 cao (must round up, not to nearest whole number)
Answer: 6
Question 16
M1 1.82 + 4.22 (= 20.88), or 3.24 and 17.64 both seen
M1√20.88 seen
A1 awrt 4.6 (m)
Answer: 4.6 m
Question 17
M1 17.28 x 103 seen (or 4.8 x 3.6 = 17.28 seen)
M1 correct conversion process to standard form
A1 1.728 x 104 cao
Answer: 1.728 x 104
Question 18
(a) M1 -2 + 3 + 5 + (-1) + 6 (= 11) seen, or correct process
(a) A1 2.2 cao (degrees C)
(a) Answer: 2.2 degrees C
(b) M1 6 - their (a) seen, ft
(b) A1 3.8 cao (ft from part a)
(b) Answer: 3.8 degrees C
Question 19
M1 40.96 and 15.21 both seen, or 25.75 seen
M1 2.5 (6.4 - 3.9) seen
A1 10.3 cao
Answer: 10.3
Question 20
M1 cost per 100 ml (or per litre/ml) for the small bottle found, e.g. 0.22 pounds per 100 ml
M1 cost per 100 ml (or per litre/ml) for the large bottle found, e.g. 0.198 pounds per 100 ml