2 out of 3
Can you find pairs of differently sized windows that cost the same?
3 out of 3
Can you find a way of counting the spheres in these arrangements?
1 out of 3
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
1 out of 3
The Number Jumbler can always work out your chosen symbol. Can you work out how?
2 out of 3
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?
1 out of 3
Think of a number, add one, double it, take away 3, add the number you first thought of, add 7, divide by 3 and take away the number you first thought of. You should now be left with 2. How do I know?
1 out of 3
My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?
1 out of 3
We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4
1 out of 3
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
1 out of 3
A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?
