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Weekly Problem 23 - 2017
Three small equilateral triangles of the same size are cut from the corners of a larger equilateral triangle. What is the side length of the small triangles?

Find all 3 digit numbers such that by adding the first digit, the square of the second and the cube of the third you get the original number, for example 1 + 3^2 + 5^3 = 135.

The value of the circle changes in each of the following problems. Can you discover its value in each problem?

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

What day of the week were you born on? Do you know? Here's a way to find out.

Order these four calculations from easiest to hardest. How did you decide?

Can you work out the sum of the missing digits in this subtraction?