Some Puzzles to Solve!

Good morning!  I hope you are all well this week and had a lovely long weekend

Some puzzles for you to have a go at today!  These are all about guessing a number and I think the most effective strategy to solve them is going to be trial and error.  Remember this is where you make a guess and see if you are close to the right answer.  If your answer is too big, try a smaller guess, if your answer is too small try a bigger guess!  This is a good strategy to try if you really don’t know where to start with a problem.  Remember as well, that it’s good to always read the question properly before you start and then again once you’ve had your first guess!

There are different levels of problems to try, read through and see which you want to have a go at J

 

Problem One

Q.1      I am even.

I am less than 20.

I have 2 digits.

One digit is twice as big as the other.

What number am I?

 

1. 2 Reece and Luke are given £13 pocket money between them each week.

Reece gets £5 more than Luke.

How much pocket money does each get?

 

Q.3      Can you come up with your own guess the number problem for us to solve?  Post them in Teams, on the Blog or email them too me so that people can have a go at solving your problem!

 

Problem Two

Q.1      I am thinking of a number.  It is between 25 and 32.

Its tens digit is smaller than its ones digit.

If I halve my number, I get an even number.

Guess my number!

 

Q.2.     I am thinking of a number.  It is greater than 50 and less than 100.

You can divide it by five.

Its digits add up to 8.

Guess my number!

 

Q.3      I think of 10.  I halve it.

I add 10.

I subtract 7.

What is left?

 

Q.4.     Can you come up with your own guess the number problem for us to solve?  Post them in Teams, on the Blog or email them too me so that people can have a go at solving your problem!

 

Problem Three

These are somewhat trickier.  First choose a number to start with and work out the sums.  For example you might try 8 for the first question. First you look at “twice my number minus 7”. This would give you 8×2=16, 16-7=9.  To check if this is right, you need to see if the number you started with (8) add 5 is the same as the answer you got for the first part of the question.  8+5=13 however the answer we got the first time was 9 so the starting number cannot be 8.  You could now try starting with another number – do you think the number would be higher or lower than 8?

For each clue guess the number I am thinking of.

Q.1      Twice my number minus seven is equal to my number plus five.

Q.2      Three times my number minus eight is equal to my number plus 6.

Q.3      My number multiplied by 5, plus five, is 20 less than eight more than my number

multiplied by six.

Q.4      Can you come up with your own guess the number problem for us to solve?  Post them in Teams, on the Blog or email them too me so that people can have a go at solving your problem!

 

If you are replying in Teams please try and tag me so that I don’t miss your reply!

 

Happy puzzling!

Miss Mitchell