Write these numbers in order, starting with the smallest: 0.62, 5/8, 0.6, 0.605
(2)
6
Round 4.362 to 1 decimal place.
(2)
7
Round 29,651 to the nearest 100.
(2)
8
Round 0.0837 to 2 significant figures.
(2)
9
Round 47,285 to 3 significant figures.
(2)
10
Write these numbers in order, largest first: 0.8, 7/8, 0.79, 0.803
(2)
11
A number, when rounded to the nearest 10, is 350. Write down the smallest and the largest whole numbers it could have been.
(2)
12
Write 2/5 as a decimal.
(1)
13
Write 0.09 as a fraction in its simplest form.
(1)
14
A baker uses 3.65 kg of sugar per batch. Estimate the amount of sugar used for 8 batches by first rounding 3.65 to the nearest whole number.
(2)
15
A charity event collects donations of 128 pounds, 96 pounds and 215 pounds from three collection points. By rounding each amount to the nearest 10 pounds, estimate the total amount collected. You must show your rounded values.
(3)
16
Four friends' times for a race are 58.7, 58.65, 59.02 and 58.699 seconds. Write these times in order from fastest (smallest time) to slowest (largest time).
(3)
17
A stadium's attendance, correct to the nearest 100, is given as 4,600. Assuming a whole number of people attend, write down the smallest and the largest possible number of people who could have attended.
(3)
18
A factory produces 2,375 items per day. Round the daily production to 2 significant figures, then use this rounded value to estimate the total production over 30 days.
(3)
19
A whole number, N, rounds to 250 when rounded to the nearest 10, and rounds to 200 when rounded to the nearest 100. Find the smallest possible value of N.
(3)
20
A four-digit number has the form 3d64, where d is a single digit (the hundreds digit). When rounded to the nearest 100, the number is 3,700. Find the value of d, showing your reasoning.
(3)
Mark scheme · KS3.M-N4D Place Value, Ordering and Rounding: Fluency and Exam Drill
Question 1
B1 six thousand two hundred seventeen cao
Answer: six thousand two hundred seventeen
Question 2
B1 4 thousand or 4000 cao
Answer: 4000
Question 3
B1 six tenths or 0.6 cao
Answer: 0.6
Question 4
B1 9 cao
Answer: 9
Question 5
M1 converts to comparable decimals: 0.6, 0.605, 0.62, 0.625 oe
A1 correct order cao
Answer: 0.6, 0.605, 0.62, 5/8
Question 6
M1 identifies the tenths digit 3 and the hundredths digit 6
A1 4.4 cao
Answer: 4.4
Question 7
M1 identifies 29,651 lies between 29,600 and 29,700, closer to 29,700
A1 29,700 cao
Answer: 29,700
Question 8
M1 identifies the first two significant figures as 8, 3 and the next digit as 7
A1 0.084 cao
Answer: 0.084
Question 9
M1 identifies the first three significant figures as 4, 7, 2 and the next digit as 8
A1 47,300 cao
Answer: 47,300
Question 10
M1 converts 7/8 to 0.875 and compares all four decimals oe
A1 correct order cao
Answer: 7/8, 0.803, 0.8, 0.79
Question 11
M1 identifies the boundaries as 345 and 355
A1 smallest 345, largest 354 cao
Answer: smallest 345, largest 354
Question 12
B1 0.4 cao
Answer: 0.4
Question 13
B1 9/100 cao
Answer: 9/100
Question 14
M1 rounds 3.65 to the nearest whole number, 4, shown
A1 32 (kg) cao
Answer: 32 kg
Question 15
M1 rounds all three amounts to the nearest 10: 130, 100, 220 (oe)
M1 correct method: 130 + 100 + 220
A1 450 (pounds) cao
Answer: 450 pounds
Question 16
M1 writes all four times to the same number of decimal places for comparison: 58.700, 58.650, 59.020, 58.699 oe
M1 correctly identifies the smallest and largest values
A1 fully correct order: 58.65, 58.699, 58.7, 59.02 cao
Answer: 58.65, 58.699, 58.7, 59.02
Question 17
M1 identifies the lower boundary as 4,550
M1 identifies the upper boundary as one less than 4,650, since 4,650 itself would round to 4,700
A1 smallest 4,550, largest 4,649 cao
Answer: smallest 4,550, largest 4,649
Question 18
M1 rounds 2,375 to 2 sf: 2,400 (oe)
M1 correct method: 2,400 x 30
A1 72,000 cao
Answer: 72,000
Question 19
M1 identifies the range for the nearest-10 condition: 245 to 254
M1 identifies the range for the nearest-100 condition: 150 to 249, and combines the two ranges
A1 245 cao
Answer: 245
Question 20
M1 identifies that numbers rounding to 3,700 (nearest 100) lie from 3,650 to 3,749
M1 tests digit values and finds that 3d64 lies in this range only when d = 6, giving 3,664