A ferry carried 156 passengers on a crossing. Round 156 to the nearest 10.
(Total for Question 1 is 1 mark)
2
4,927 people attended a Saturday football match. Round 4,927 to the nearest 100.
(Total for Question 2 is 1 mark)
3
68,459 people registered for a charity marathon. Round 68,459 to the nearest 1000.
(Total for Question 3 is 1 mark)
4
A recipe needs 23.6 ounces of flour. Round 23.6 to the nearest whole number.
(Total for Question 4 is 1 mark)
5
A stopwatch shows a runner's time as 12.457 seconds.
(a)Round 12.457 to 1 decimal place.(1)
(b)Round 12.457 to 2 decimal places.(1)
(Total for Question 5 is 2 marks)
6
Circle the correctly rounded value of 3,782 to the nearest 100.
A) 3,700
B) 3,800
C) 3,900
D) 4,000
(Total for Question 6 is 1 mark)
7
The temperature recorded at a weather station one morning in February was -4.86 degrees C. Round -4.86 to 1 decimal place.
(Total for Question 7 is 1 mark)
8
A train ticket from Leeds to York costs 34.55 pounds. Round 34.55 pounds to the nearest pound.
(Total for Question 8 is 1 mark)
9
A packet of seeds has a mass of 0.0846 kg. Round 0.0846 to 1 significant figure.
(Total for Question 9 is 1 mark)
10
A metal rod measures 6.972 metres. Round 6.972 to 2 significant figures.
(Total for Question 10 is 1 mark)
11
Round 0.0999 to 2 significant figures.
(Total for Question 11 is 1 mark)
12
A number is rounded to the nearest 10. The result is 60. Is it possible that the original number was 65? Give a reason for your answer.
(Total for Question 12 is 1 mark)
13
Write down the smallest whole number and the largest whole number that each round to 350 when rounded to the nearest 10.
(Total for Question 13 is 2 marks)
14
A cinema orders 187 boxes of popcorn at 3.85 pounds each. Estimate the total cost by rounding each number to 1 significant figure.
(Total for Question 14 is 2 marks)
15
Round 15.976 to 3 significant figures.
(Total for Question 15 is 2 marks)
16
Kwame rounds 6.454 to 1 decimal place. He writes 6.4. Explain Kwame's mistake and write down the correct rounded value.
(Total for Question 16 is 2 marks)
17
Show that rounding 249.6 to the nearest 10, and then rounding that answer to the nearest 100, gives a different result from rounding 249.6 directly to the nearest 100.
(Total for Question 17 is 2 marks)
18
A school photocopier prints 5,834 pages in 58 minutes. Estimate the number of pages it prints per minute, by rounding each number to 1 significant figure.
(Total for Question 18 is 3 marks)
19
Priya earned 96.20 pounds and Yusuf earned 58.75 pounds from a car boot sale.
(a)Round each amount to the nearest 10 pounds.(2)
(b)Use your answers to part (a) to estimate how much more Priya earned than Yusuf.(1)
(Total for Question 19 is 3 marks)
20
Visitor numbers at three UK theme parks last month were 18,462, 21,905 and 17,050.
(a)Round 18,462 to 2 significant figures.(1)
(b)Round 21,905 to 2 significant figures.(1)
(c)Round 17,050 to 2 significant figures.(1)
(Total for Question 20 is 3 marks)
Mark scheme · 1.7B Rounding (Part 2)
Question 1
B1 160 cao
Answer: 160
Question 2
B1 4,900 cao
Answer: 4,900
Question 3
B1 68,000 cao
Answer: 68,000
Question 4
B1 24 cao
Answer: 24
Question 5
(a) B1 12.5 cao
(a) Answer: 12.5
(b) B1 12.46 cao
(b) Answer: 12.46
Question 6
B1 B (3,800) cao
Answer: B) 3,800
Question 7
B1 -4.9 cao
Answer: -4.9 degrees C
Question 8
B1 GBP35 cao
Answer: GBP35
Question 9
B1 0.08 cao
Answer: 0.08
Question 10
B1 7.0 cao
Answer: 7.0
Question 11
B1 0.10 cao
Answer: 0.10
Question 12
B1 No, with correct reason, e.g. 65 is exactly halfway between 60 and 70 and by the standard convention rounds up to 70, not down to 60
Answer: No
Question 13
B1 345 cao (smallest)
B1 354 cao (largest)
Answer: 345 (smallest) and 354 (largest)
Question 14
M1 187 rounds to 200 and 3.85 rounds to 4 oe
A1 800 (pounds) cao, ft from correctly rounded values
Answer: GBP800
Question 15
M1 identifies the first 3 significant figures as 1, 5, 9 and the next digit as 7 oe
A1 16.0 cao
Answer: 16.0
Question 16
C1 correct explanation, e.g. Kwame only looked at the first decimal digit 4 and ignored the digits after it, instead of checking the second decimal digit (5) to decide whether to round up oe
B1 6.5 cao
Answer: 6.5
Question 17
M1 249.6 rounded to the nearest 10 is 250, and 250 rounded to the nearest 100 is 300 oe
C1 dep 249.6 rounded directly to the nearest 100 is 200, correctly identified as different from 300, cso
Answer: Two-step: 300. Direct: 200. These are different.
Question 18
M1 5,834 rounds to 6,000 oe
M1 58 rounds to 60 oe
A1 100 (pages per minute) cao, ft from correctly rounded values
Answer: 100 pages per minute
Question 19
(a) B1 96.20 rounds to 100 cao
(a) B1 58.75 rounds to 60 cao
(a) Answer: GBP100, GBP60
(b) B1 40 (pounds), ft correct difference of the two rounded values from part (a)