Number Patterns

There are different number patterns on the following number grid. Can you find them all?

Root Problem

 

Missing Box

What should be written instead of the question mark?

Problem 123: Squares

The side lengths of the three squares are consecutive integers. What’s the total area?

Source Catriona Shearer

Problem 93: Triangle or Square?

Math Pics 7: Squares on Mirror

Problem 83: Jersey Numbers 2

https://www.bbc.com/news/world-asia-44791998

Three footballers were having a chat after the training. Having a keen interest in numbers, one of them said:

 -“You know if I square your jersey numbers, and then subtract one from the other, the difference will give my jersey number.”

Others were impressed with this, and they also decided to find mathematical properties of their jersey numbers. The second player said:

-“The number on my jersey is the difference of your jersey numbers.”

It was the turn for the third player. He said: 

-“The numbers on your backs are prime numbers.”

Can you find the jersey number of each player?

Rich Tasks 26: Different Forms of a Number (Surds) 2

Rich Task 21: Number Sets

Rich Tasks 17: Square Number Challenge

one solution:

Rich Tasks 16: Square Challenge

Problem 37: One wasn't square

A great question from nrich. Although this is for Stage 2, I believe my students will like it too.

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Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children: Mona, Bob and Jamie.

"Now", she said, "Those three numbers add to a special kind of number. What is it?"

Michael put his hand up.

"It's a square number", he answered.

"Correct", smiled Mrs Morgan.

"Oh!" exclaimed Mona, "The two numbers I can see also add to a square!"

"And me!" called out Bob, "The two numbers I can see add to a square too!"

"Oh dear", said Jamie disappointedly, "the two numbers I can see don't add to a square! It's either 5 too little or 6 too big!"

What numbers did the three children have on their backs?

Rich Tasks 3: Number Crossword Challenge

Prepare a number crossword using prime numbers, square and cubic numbers. Your target is to complete it with the least amount of dark squares.

Downloadable Link

Problem 22: Squares and Cubes Password

Source