Write the number six thousand two hundred and nine in figures.
(1)
3
Look at the number 8,436.
(a)Round 8,436 to the nearest 10.(1)
(b)Round 8,436 to the nearest 100.(1)
4
Insert the correct symbol, < , > or = , between each pair of numbers.
(a)5,672 ___ 5,627(1)
(b)12,905 ___ 12,950(1)
5
Circle the greatest number in this list: 3,099 3,909 3,990 3,190
(1)
6
Write these numbers in order, starting with the smallest: 6,204 2,604 6,024 2,046
(2)
7
Complete each calculation.
(a)34 x 100 =(1)
(b)8500 / 100 =(1)
(c)6.3 x 1000 =(1)
(d)720 / 10 =(1)
8
The temperature at 6am was -4 degrees Celsius. By midday the temperature had risen by 9 degrees Celsius. What was the temperature at midday?
(2)
9
Roman numerals.
(a)Write 47 as a Roman numeral.(1)
(b)Write the Roman numeral LXIV as a number.(1)
10
The number of people at a festival was 246,850.
(a)Round 246,850 to the nearest 1,000.(1)
(b)Round 246,850 to the nearest 10,000.(1)
11
A number rounds to 3,600 when rounded to the nearest 100. Find the smallest possible number and the largest possible number it could be.
(2)
12
List all the factors of 36.
(2)
13
Look at this list of numbers: 21, 27, 29, 33, 41, 51. Circle the two prime numbers in the list.
(2)
14
Order these temperatures from coldest to warmest: -8, 3, -2, 0, -5 (degrees Celsius)
(2)
15
A charity ran a sponsored walk. The organisers announced: "About 3,600 people took part, rounded to the nearest hundred." The exact number who took part was 3,647.
(a)Show that 3,647 rounds to 3,600 when rounded to the nearest hundred.(1)
(b)The actual attendance was later corrected to 3,652. Explain whether the rounded figure of "about 3,600" is still correct to the nearest hundred.(2)
16
Using each of the digits 2, 0, 7 and 5 exactly once, form four-digit numbers.
(a)Write the largest possible number.(1)
(b)Write the smallest possible number that does not start with zero.(1)
(c)Calculate the difference between your answers to a) and b).(1)
17
In Roman numerals, the year King Henry VIII became king of England is written MDIX. His daughter Elizabeth I became queen 49 years later.
(a)Write MDIX as a number.(1)
(b)Write the year Elizabeth I became queen as a Roman numeral.(2)
18
A submarine is at a depth of 85 metres below sea level, recorded as -85 m. It rises 128 metres, then dives a further 46 metres. What is the submarine's final position relative to sea level? Give your answer as a positive or negative number of metres.
(3)
19
Show that 8,452 rounds to 8,450 when rounded to the nearest 10, and rounds to 8,500 when rounded to the nearest 100.
(3)
20
A four-digit number has the form 4 _ _ 5, where the thousands digit is 4 and the ones digit is 5, and the two middle digits are unknown. The number is greater than 4,700 but less than 4,800, and the sum of all four digits is 20. Find the number, showing your reasoning.
(4)
21
A number rounds to 72,000 when rounded to the nearest 1,000.
(a)What is the smallest whole number it could be?(1)
(b)What is the largest whole number it could be?(2)
22
Amara is thinking of a 3-digit number. It is a multiple of both 6 and 9. It is greater than 300 and less than 400. The digit in the tens place is double the digit in the ones place. Find Amara's number, showing your reasoning.
(4)
Mark scheme · KS2.M-R1 Reasoning: Number and Place Value
Question 1
B1 700 oe (accept 7 hundreds); cao
Answer: 700
Question 2
B1 6209 cao
Answer: 6209
Question 3
(a) B1 8440 cao
(a) Answer: 8440
(b) B1 8400 cao
(b) Answer: 8400
Question 4
(a) B1 > cao
(a) Answer: >
(b) B1 < cao
(b) Answer: <
Question 5
B1 3,990 cao
Answer: 3,990
Question 6
M1 at least two numbers placed in correct relative order
A1 2,046 2,604 6,024 6,204 cao, all four in correct order
Answer: 2,046 2,604 6,024 6,204
Question 7
(a) B1 3400 cao
(a) Answer: 3400
(b) B1 85 cao
(b) Answer: 85
(c) B1 6300 cao
(c) Answer: 6300
(d) B1 72 cao
(d) Answer: 72
Question 8
M1 -4 + 9 seen oe
A1 5 (degrees Celsius) cao
Answer: 5 degrees C
Question 9
(a) B1 XLVII cao
(a) Answer: XLVII
(b) B1 64 cao
(b) Answer: 64
Question 10
(a) B1 247,000 cao
(a) Answer: 247,000
(b) B1 250,000 cao
(b) Answer: 250,000
Question 11
M1 one correct boundary identified, e.g. 3550 or 3649, oe
A1 smallest = 3550 AND largest = 3649 cao
Answer: smallest = 3550, largest = 3649
Question 12
M1 at least 6 correct factors listed with no incorrect values
A1 1, 2, 3, 4, 6, 9, 12, 18, 36 cao, any order
Answer: 1, 2, 3, 4, 6, 9, 12, 18, 36
Question 13
B1 29 cao
B1 41 cao
Answer: 29 and 41
Question 14
M1 at least three values placed in correct relative order
A1 -8, -5, -2, 0, 3 cao
Answer: -8, -5, -2, 0, 3
Question 15
(a) B1 cso: correctly states the tens and ones digits (47) are less than 50, so the hundreds digit stays the same and 3,647 rounds down to 3,600
(a) Answer: 3,647 rounds to 3,600 (shown)
(b) M1 correctly rounds 3,652 to the nearest hundred, i.e. 3,700, oe
(b) A1 correct conclusion (no, it is no longer correct) with reason that the tens and ones digits (52) are 50 or more, cao
(b) Answer: No; 3,652 rounds to 3,700, not 3,600
Question 16
(a) B1 7520 cao
(a) Answer: 7520
(b) B1 2057 cao
(b) Answer: 2057
(c) B1 5463 cao (ft candidate's values from a and b if consistent)
(c) Answer: 5463
Question 17
(a) B1 1509 cao
(a) Answer: 1509
(b) M1 1509 + 49 = 1558 seen oe
(b) A1 MDLVIII cao
(b) Answer: MDLVIII
Question 18
M1 -85 + 128 (= 43) oe
dM1 candidate's value from first step - 46, dependent on first M1
A1 -3 (i.e. 3 m below sea level) cao
Answer: -3 m (3 m below sea level)
Question 19
M1 identifies the ones digit of 8,452 is 2, which is less than 5
M1 identifies the tens and ones digits of 8,452 are 52, which is 50 or more
A1 cso: correctly concludes 8,452 rounds to 8,450 (nearest 10) and to 8,500 (nearest 100), both shown with reasoning
Answer: Shown: 8,452 rounds to 8,450 (nearest 10) and 8,500 (nearest 100)
Question 20
M1 recognises the hundreds digit must be 7, since 4,700 < number < 4,800
M1 forms the digit-sum equation, 4 + 7 + tens digit + 5 = 20, oe
A1 tens digit = 4 cao
A1 4,745 cao, dependent on correct working
Answer: 4,745
Question 21
(a) B1 71,500 cao
(a) Answer: 71,500
(b) M1 recognises 72,500 would round up to 73,000, so the boundary is just below this
(b) A1 72,499 cao
(b) Answer: 72,499
Question 22
M1 recognises a multiple of both 6 and 9 must be a multiple of 18 (the lowest common multiple)
M1 lists at least 4 correct multiples of 18 between 300 and 400: 306, 324, 342, 360, 378, 396
A1 correctly tests the tens = 2 x ones condition against the list
A1 342 cao, with reasoning that tens digit 4 = 2 x ones digit 2