# Five Digits: Small or Large?

In this worksheet, students are given five digits from which they must identify the smallest and largest three-digit numbers. Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Place Value

Difficulty level:   ### QUESTION 1 of 10

We are going to make the largest and smallest 3-digit numbers from five given digits.

Let's pretend we can only use the digits 2, 3, 4, 5 and 6.

To make the largest number

This is 6.

Then comes the next digit down in the Tens column.

This is 5.

Lastly comes the next digit down in the Units or Ones column.

This is 4.

The largest number is  654

To make the smallest number

This is 2.

Then comes the next largest digit in the Tens column.

This is 3.

Lastly comes the next largest digit  in the Units or Ones column.

This is 4.

The largest number is  234

Example

Using any 3 of the digits from:

68671

form the smallest and largest 3-digit numbers that you can make.

Put the digits in order:

16678

1 is the smallest digit

6 is the next largest digit.

6 is the next largest digit even though it is the same as the last one.

Smallest number is 166.

8 is the largest digit

7 is the next digit down.

6 is the next digit down.

Largest number is 876.

Using any three of the digits:

1, 2, 3, 4, 5

choose the smallest and largest three-digit numbers that can be made.

 143 114 123 321 543 smallest largest

Using any three of the digits:

6, 3, 4, 5, 8

choose the smallest and largest three-digit numbers that can be made.

 345 865 354 856 318 smallest largest

Using any three of the digits:

1, 3, 4, 9, 2

choose the smallest and largest three-digit numbers that can be made.

 943 934 394 134 123 smallest largest

Using any three of the digits:

6, 3, 7, 1, 4

choose the smallest and largest three-digit numbers that can be made.

 743 134 147 764 774 smallest largest

Using any three of the digits:

8, 2, 6, 3, 4

choose the smallest and largest three-digit numbers that can be made.

 243 634 864 264 234 smallest largest

Using any three of the digits:

7, 5, 6, 7, 2

choose the smallest and largest three-digit numbers that can be made.

 277 776 765 256 265 smallest largest

Using any three of the digits:

9, 5, 6, 7, 5

choose the smallest and largest three-digit numbers that can be made.

 967 537 556 756 976 smallest largest

Using any three of the digits:

7, 3, 5, 7, 3

choose the smallest and largest three-digit numbers that can be made.

 353 533 753 775 335 smallest largest

Using any three of the digits:

8, 1, 8, 1, 8

choose the smallest and largest three-digit numbers that can be made.

 111 118 181 888 881 smallest largest

Using any three of the digits:

4, 3, 7, 3, 7

choose the smallest and largest three-digit numbers that can be made.

 333 433 334 777 774 smallest largest
• Question 1

Using any three of the digits:

1, 2, 3, 4, 5

choose the smallest and largest three-digit numbers that can be made.

 143 114 123 321 543 smallest largest
EDDIE SAYS

12345 - smallest is 123

12345 - largest is 543

• Question 2

Using any three of the digits:

6, 3, 4, 5, 8

choose the smallest and largest three-digit numbers that can be made.

 345 865 354 856 318 smallest largest
EDDIE SAYS

34568 - smallest is 345

34568 - largest is 865

• Question 3

Using any three of the digits:

1, 3, 4, 9, 2

choose the smallest and largest three-digit numbers that can be made.

 943 934 394 134 123 smallest largest
EDDIE SAYS

12349 - smallest is 123

12349 - largest is 943

• Question 4

Using any three of the digits:

6, 3, 7, 1, 4

choose the smallest and largest three-digit numbers that can be made.

 743 134 147 764 774 smallest largest
EDDIE SAYS

13467 - smallest is 134

13467 - largest is 764

• Question 5

Using any three of the digits:

8, 2, 6, 3, 4

choose the smallest and largest three-digit numbers that can be made.

 243 634 864 264 234 smallest largest
EDDIE SAYS

23468 - smallest is 234

23468 - largest is 864

• Question 6

Using any three of the digits:

7, 5, 6, 7, 2

choose the smallest and largest three-digit numbers that can be made.

 277 776 765 256 265 smallest largest
EDDIE SAYS

25677 - smallest is 256

25677 - largest is 776

• Question 7

Using any three of the digits:

9, 5, 6, 7, 5

choose the smallest and largest three-digit numbers that can be made.

 967 537 556 756 976 smallest largest
EDDIE SAYS

55679 - smallest is 556

55679 - largest is 976

• Question 8

Using any three of the digits:

7, 3, 5, 7, 3

choose the smallest and largest three-digit numbers that can be made.

 353 533 753 775 335 smallest largest
EDDIE SAYS

33577 - smallest is 335

33577 - largest is 775

• Question 9

Using any three of the digits:

8, 1, 8, 1, 8

choose the smallest and largest three-digit numbers that can be made.

 111 118 181 888 881 smallest largest
EDDIE SAYS

11888 - smallest is 118

11888 - largest is 888

• Question 10

Using any three of the digits:

4, 3, 7, 3, 7

choose the smallest and largest three-digit numbers that can be made.

 333 433 334 777 774 smallest largest
EDDIE SAYS

33477 - smallest is 334

33477 - largest is 774

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