KS2 - Maths Challenge 03.10.22

KS2- Maths Challenge 

What do you need to find a number chosen from this hundred square?



Four of the clues below are true but do nothing to help in finding the number.
Four of the clues are necessary for finding it.

Here are eight clues to use:

1. The number is greater than 9.
2. The number is not a multiple of 10.
3. The number is a multiple of 7.
4. The number is odd.
5. The number is not a multiple of 11.
6. The number is less than 200.
7. Its ones digit is larger than its tens digit.
8. Its tens digit is odd.

What is the number?

Reach 100

Here is a grid of four "boxes":

You must choose four different digits from 1−9 and put one in each box. For example:

This gives four two-digit numbers:

52	(reading along the 11st row)
19	(reading along the 22nd row)
51	(reading down the left hand column)
29	(reading down the right hand column)

In this case their sum is 151.

Try a few examples of your own.
Is there a quick way to tell if the total is going to be even or odd?

Your challenge is to find four different digits that give four two-digit numbers which add to a total of 100.

How many ways can you find of doing it?