Year 11 Being resourceful

In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?

Which of these games would you play to give yourself the best possible chance of winning a prize?

Here are two games you can play. Which offers the better chance of winning?

Can you find the hidden factors which multiply together to produce each quadratic expression?

Can you work out the dimensions of the three cubes?

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

A square of area 40 square cms is inscribed in a semicircle. Find the area of the square that could be inscribed in a circle of the same radius.

A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?