Reasoning: Number and Place Value - Worksheets, Questions and Revision

22 original exam-style questions - 6 pages of questions with a full mark scheme - free printable PDF.

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KS2 · Number and Place Value

KS2.M-R1 Reasoning: Number and Place Value

STA KS2 National Curriculum Mathematics - STA Reasoning Test Framework · Calculators not allowed · about 65 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
The number 3,758 is shown.
(1)
2
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

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Question 22