1. http://nrich.maths.org eNRICHing Shape & Space Bromley February 2015

2. http://nrich.maths.org Tilted Squares Can you find a quick and easy method to work out the areas of tilted squares?

3. http://nrich.maths.org Reflecting Squarely In how many ways can you fit all three pieces together to make shapes with line symmetry?

4. http://nrich.maths.org Shady Symmetry How many different symmetrical patterns can you make?

5. http://nrich.maths.org Square It Can you beat the computer?

6. http://nrich.maths.org Opposite vertices If I give you a line, can you tell me straight away if that line could be: the side of a square? the diagonal of a square? If such squares CAN be drawn, can you find an efficient method for drawing them?

7. http://nrich.maths.org Vector Journeys If I give you a vector that represents the side of a square, can you find the vectors that complete the square? If I give you a vector that represents the diagonal of a square, can you find the vectors that complete the square?

8. http://nrich.maths.org Isosceles Triangles Draw some isosceles triangles with an area of 9 cm 2 and a vertex at (20, 20). If all the vertices have whole number coordinates, how many is it possible to draw? Can you explain how you know that you have found them all?

9. http://nrich.maths.org Can they be equal? Can you find rectangles where the value of the area is the same as the value of the perimeter?

10. http://nrich.maths.org Cuboid Challenge Cut a square from each corner and fold up the flaps. What volumes are possible for different sizes of cut-out squares?

11. http://nrich.maths.org Finding angles in a triangle using a Geoboard environmentGeoboard environment Start of a journey: a 9-point circle

12. http://nrich.maths.org Kite in a square What fraction of the total area is shaded?

13. http://nrich.maths.org Marbles in a Box How many winning lines are there?

14. http://nrich.maths.org Geometry & Measure collection http://nrich.maths.org/8743