SmartMaths
Outside Durham Tourist Information on your right there is an arrangement of square paving slabs on the ground. How many square paving slabs can you see?
How many 3D shapes can you see? Name as many as you can.
The traffic lights into the Market Place stay on green for 1 minute and red (or amber) for 1 minute.
If five cars go through every time on green, how many cars get through the traffic light between 11am and 12 noon?
Find the post box in the Market Place. How long is it from now until the next collection time?
Leave the Market Place in the direction of Saddler Street towards Bells. On the door of Bells you will find the opening times. If it is 9.13am on a Saturday, how many minutes do you need to wait until opening?
Walk out of Millennium Square and turn right towards the Market Place. Just across the bridge you will see a blue National Cycle Route sign (just in front of the street-sign “Walkergate”) indicating routes and distances. Estimate the angles in degrees between the following destinations (remember: there are 360 degrees in a circle)
a) Consett and Cathedral
b) Cathedral and Sunderland
c) Sunderland and Consett
If all cars in part (a) have to pay the congestion charge (about £2) how much money would be made for Durham County Council?
Walk into the Market Place and find Charles William Vane Stewart (3rd Marquis of Londonderry)
When was he born?
When did he die?
How old was he when he died?
Further along, opposite the entrance for the High Street on your right you will find a giant teapot suspended high above a shop. If a regular teapot has a 10cm base and makes four mugs, estimate how many mugs of tea the giant teapot will make.
Continue walking up Saddler Street. Opposite the Shakespeare pub is Saddlers restaurant.
a) What number Saddler Street is it?
b) Circle the three special properties this number has:
Prime Even Odd Square Triangular
Hints:
Square numbers are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, …
Prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, …
Even numbers are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, …
Triangular: 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, …
Further along look on your left for the lane where “The Muffin Man” lives. Above the entrance to the alleyway you will find a black plaque with two numbers. What are these numbers?
Follow the road up towards the Cathedral and take the right fork up Owengate onto Palace Green where you will see the Cathedral ahead of you. Walk towards the right corner of Palace Green where you will see the entrance of the Castle. There are two stone pillars here with turrets on top.
How many sides does each pillar have?
What is a shape called that has this many sides?
You will find lots of parked cars on Palace Green. Survey the registration plates of all the cars by recording the last digit on each number plate in the tally chart below.
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Walk towards the Cathedral. On the grass bank next to the main entrance you will find a variety of gravestones and the Durham Light Infantry memorial.
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From the gravestones pick out your favourite Celtic knot and try to draw it in the box below without taking your pen off the paper.
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Can you sketch over the Celtic knot illustrated below on the right without taking your pen off the paper?
Standing at the Durham Light Infantry cross, how many windows can you see on Durham Cathedral?
Turn around and leave Palace Green on the cobbled road at the corner following the small blue sign for the Heritage Centre and Museum. Stop opposite the Heritage Centre – if you turn around you will see the magnificent rose window high in the Cathedral wall. How many segments are there in the rose window?
Turn back and walk along North Bailey towards the Market Place. On your left you will find number 38 (the Classics Department). This building has nine windows.
a) What fraction of these windows has twelve panes of glass?
b) Can you express this as a decimal?
Continue walking down North Bailey and stop when you find the two restaurants (Lebanese and Indian). What is the difference in the cost between a plain pilau rice at the Indian restaurant or hummus at the Lebanese restaurant?
Saddler Street has black painted bollards lining the route. Count the number of bollards as you walk back down to Tourist Information, stopping when you reach Bells fish shop on the corner.
Now walk back to Millennium Square and revisit the first question. Find as many different ways as you can for counting the number of square paving slabs used in the arrangement outside Tourist Information and write each calculation in the box below.
