Entrance Hall
1a. Look at the ceiling in the entrance hall. How many squares can you count?
1b. Look around the entrance hall. Cross out these shapes when you find them:
Walk down the corridor towards Unit 1 and look at the murals on the
right-hand side wall.
2.a Look carefully at the murals hanging on the wall. Can you find the following shapes:
2b. Choose three different patterns or shapes from the mural that you really like and draw
them here:
Now walk into the hall.
3a. Walk into the middle of the hall. How many doors can you see?
3b. If the total number of ceiling lights in the hall were multiplied by 10, how many lights
would there be?
3c. There are 2000 tiles laid on the hall floor in the pattern shown below. Some point towards the kitchen; how many tiles do you think point towards the biggest wall hanging?
Now walk towards the nursery door.
4a. Look at the ceiling above the nursery door. What kind of angle is created by the pattern?
4b. Look at the outside door which leads to the bottom yard. The blocks on the left-hand side wall make apattern. Can you work out how many large, medium and small blocks there are? Write your
answers in the box:
Go through the outside door and walk towards the bottom yard.
5a. How many steps are there down onto the yard?
5b. What would the total be if you multiplied the number of steps by 100?
5c. What do you call the shape found at the top of the pencils in the fence?
5d. In between the pencils there are strips of wood. How many sets of 10
strips of wood can you find in between the pencils?
5e. What is the most common number of strips of wood in between the pencils?
5f. What is the least common number of strips of wood in between the pencils?
5g. Some of the benches on the bottom yard are grouped together in a number sequence. Can you spotwhat the pattern is?
5h. Collect two different sized leaves - one large and one small. Measure the length and width of each leaf and write their measurements below:
biggest leaf: width cms length cms
smallest leaf: width cms length cms
When you get back to class, collect everyone’s information and see who has found the biggest
leaf and who has found the smallest leaf. Can you work out the average length of your
leaves? Can you work out the average width of your leaves? What is the difference between
the longest leaf and the shortest leaf? What is the difference between the widest leaf and the narrowest leaf?
Walk up towards the top yard and turn left towards the greenhouse.
6a. The roof above class 4 is a 3D shape. What is the name of the shape?
6b. What shape is the door into class 5?
Walk along the narrow path around the outside of class 7.
7a. Look at the dark brown bricks on the wall. They make a symmetrical pattern.
Draw the pattern in the box.
7b. How many of the light brown bricks would have to be removed so that the dark brown bricks would fall down into a straight line?
Walk around the path and stop at the raised flower bed.
7c. How many brick widths are there in the diameter of the flower bed?
(Remember to include the big square bricks at the corners. How many brick
widths are they worth?)
Continue to walk up to the top yard.
8a. Look at the fence posts around the top yard. The tallest fence posts are equal to 1 metre.
Look around the top yard again and find the tree with the red triangle tied to it. Estimate how many fence posts high you think this tree is.
When you return to class collect everyone’s answer and complete a tally chart to find the most common answer (mode), the least popular answer and the difference between the lowest estimate and the highest estimate (range).
8b. Look at the roof above class 13. What is the name of the triangle?
8c. Look at the path on the way back towards the bottom yard. The picture below shows how
the rectangular blocks make up a tessellating, or repeating, pattern. Can you use the same rectangular shape to draw a different tessellating pattern?
Walk back towards the raised semi-circular flower bed and turn right through the double doors back into school. Turn right and follow the corridor back towards the entrance.
9a. How many lights in the ceiling do you walk under on the way back to the entrance?
9b. How many ceiling lights would there be if there were four times that number?
9c. How many ceiling lights would there be if there were six times that number?
Look at the larger tile board opposite the office door in the entrance corridor beside the gym.
10a. Each tile on the board has its own pattern. Can you see any patterns that look like letters or numbers? Write them in the box:
10b. Look at the top row of tiles. The tiles are arranged in different colours like this:
Rearrange four of the above tiles so they make a repeating colour pattern that matches the rest of the board.
Congratulations! You have completed Hotspur’s Maths Trail and you can now go back to your
classroom and have some fun with the information you’ve collected!
1