Year 2 Being curious

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

Four bags contain 1s, 3s, 5s and 7s. Can you pick ten numbers from the bags so that their total is 37?

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

This problem challenges you to find out how many odd numbers there are between pairs of numbers.