Place Value Riddles

For this week’s challenge, you are using the clues to find the mystery numbers! Make sure you read all the clues carefully in order to solve each riddle. When you think you have solved the riddle, check your number by making sure each clue works with it!

Be warned...they start easier and get trickier!

TOP TIP:

Draw empty boxes for each digit, to fill in one at a time, as you solve each clue!

Eg. If you know the number is a 3 digit number, give yourself 3 empty boxes to work with:

1.What is the number?         

• The number has 3 digits.
• The ones digit is double 4.
• The hundreds digit is an even number bigger than 5, but smaller than 7.
• The tens digit is half the ones digit.

2.What is the number?

• The number has 3 digits.
• The tens digit is less than 1.
• The ones digit is the number of sides of a triangle.
• The hundreds digit is the same as half of 14.

3.What is the number?

• The number has 3 digits.
• The ones digit is an odd number bigger than 7.
• The tens digit is 5 less than 6.
• The hundreds digit is the same as the tens.

4.What is the number?

• The number has 4 digits.
• It is smaller than 6000 but bigger than 5000.
• The hundreds digit is smaller than 6 but bigger than 4.
• The tens digit is an odd number smaller than 7 but bigger than 3.
• The ones digit is a multiple of 3 and is bigger than 6 but smaller than 10.

5.What is the number?

• The number has 3 digits.
• The ones digit is 82 less than 91.
• The hundreds digit is an odd number which is bigger than 1 but smaller than 4.
• The tens digit is the same as 6 + 3

6.What is the number?

• The number has 5 digits.
• The ten thousands digit is the same as the hundreds digit, and it is an odd number that can be divided by 3 to make 3.
• The thousands digit is bigger than 8.
• The ones digit is half the number of months in a year.
• The tens digit is smaller than 1.

7.What is the number?

• The number has 5 digits.
• The thousands digit is half of ten.
• The tens digit is the number of days in a week.
• The ones digit is half of 14.
• The hundred digit is the first number you dial when you need to call an emergency service.
• The ten thousand digit is -7 + 8

8.What is the number?

• The number has 3 digits.
• It is smaller than 700 but bigger than 600.
• The tens digit is 1/3 of 9.
• The ones digit is double 4.

9.What is the number?

• The number has 5 digits.
• The ones digit is an even number that is bigger than 6 but smaller than 9.
• The ten thousands digit is the same as 800 divided by 100.
• The hundreds digit is the same as 2 x 2 x 2.
• The tens digit is 1/10 of 50
• The thousands digit is the same as 50 – 20 – 20 - 5

10. What is the number?

• The number has 6 digits.
• The ten thousands digit is ¼ of the thousands digit.
• The ones digit is a multiple of both 3 and 9 but less than 18.
• The hundreds digit is the same as 146 – 139
• The thousands digit is 4 less than a dozen
• The tens digit is the same as 1/3 of the number of months in a year
• The hundred thousand digit is the square root of 1.

11. What is the number?

• The number has 5 digits.
• The ones digit is a quarter of 32.
• The hundreds digit is the number of sides in a hexagon.
• The tens digit is an even number that is 100 ÷ 25.
• The ten thousand digit is the smallest possible odd number.
• The thousands digit is the same as 36 ÷ 12

12. What is the number?

• The number has 5 digits.
• The ten thousand digit is 2 squared.
• The hundreds digit is the number of sides in an octagon.
• The tens digit is the number of right angles in a square.
• The ones digit is 2 less than the tens digit.
• The thousands digit is the only even prime number.

13. What is the number?

• The number has 6 digits.
• The tens digit is 1/5 of 45
• The thousands digit is 600 - 597
• The hundreds digit is the square root of 4
• The ones digit is the number of wheels in a unicycle.
• The hundred thousand digit is 1/3 of 21.
• The ten thousand digit has no value.

14. What is the number?

• This number has 6 digits.
• All of the digits are odd.
• The thousands digit is bigger than 3 but less than 6.
• The tens digit represents the month of July.
• The hundreds digit is the equivalent of 270 ÷ 30
• The ones digit is the number of angles in a triangle.
• The hundred thousand digit is 1/10 of 30
• The ten thousand digit is 1/3 of the hundreds digit.

Extension:

Have a go at writing some place value riddles of your own, for 3 mystery numbers!