Maths Trail

Key Stage 2: Mathematics
Questions answered at stops 1-12 are marked on a MAP OF THE GROUNDS.	REMEMBER - WATCH OUT FOR TRAFFIC WHEN WALKING ON ALL ROADS
	1. From the crossroads ...
... to where the two walls form a corner Estimate how many paces to walk this distance ........................................................................... Now walk it. Stay on the grass on the right-hand side and keep away from traffic. How many paces did you walk? ........................................................................... Was your estimate correct? YES / NO
	2. Where the two walls form a corner a. Which is the widest of the three trees here - the right one, the left one or the middle one? ........................................................................... b. Choose sufficient people to reach around this tree by joining arms and stretching round it. Now stand everyone in a line with their arms outstretched. Estimate how far it is around the widest tree. ...........................................................................
3. At the Triumphal Gate a. Find the date in Roman numbers on the gate arch. Copy it down here ........................................................................... b. In Roman numbers M=1000 D=500 C=100 L=50 X=10 V=5 I=1 Write the date on the gate in the numbers we use now ............................................................................
4. Also at the Triumphal Gate Blenheim is open from 9.00 o'clock in the morning until 5.00 o'clock in the afternoon. a. How many hours is Blenheim open? ............................................................................ Write these two times using the 24-hour clock 9.00 am ................................................................. 5.00 pm .................................................................
	5.On the bank after the Triumphal Gate The diagram below (not to scale) shows how steep this bank is. Calculate the missing angle '?' (Remember, the angles of a triangle add up to 180 degrees.)
6. Going down the bank Look across the Lake at the Grand Bridge. a. Estimate the width of the main arch at water level. Is it approximately 22m, 33m or 100m? ............................................................................
	7. The Seven Arches Bridge (at the bottom of the bank) If the water flows under here into the Lake at 500 litres per minute, how much water will flow into the lake in one hour? .............................................................................
8. The cottage at the road junction (Fishery Cottage) a. What is the total of the ages of all the family? ............................................................................. b. How many have ages which are odd numbers? ............................................................................. c. What is the total of all the even-numbered ages? ............................................................................. d. How old was Mr Maisey when Paul was born? ............................................................................. e. Joan is older than Elizabeth. By how much? .............................................................................	One hundred years ago a gamekeeper called Mr Maisey lived in this cottage with his wife and eight children. Here are the details of their ages. Mr Maisey 45 years old Mrs Maisy 43 years old Simon Maisey 20 years old John Maisey 18 years old Joan Maisey 17 years old Peter Maisey 14 years old Mary Maisey 11 years old Elizabeth Maisey 10 years old Robert Maisey 7 years old Paul Maisey 4 years old
9. At this road junction From the road junction to the Grand Bridge is 700 metres. How many cms is this? ............................................................................. How many mms? ............................................................................. How long do you think it will take you to walk this distance? ............................................................................. Walk this distance now. Were you correct? .............................................................................
	10. On the Bridge The bridge was finished in 1723. How many years ago is that? .............................................................................
11. At the gates in front of the Palace Have a rest here and do this question. One day in the car park there were: • Three hundred and twenty six cars • Twenty three coaches • Sixteen vans • Six lorries How many vehicles were parked in the car park? Answer in numbers ............................................................................. Answer in words .............................................................................
	12. Near the exit from the shop Count the number of people who come out of the shop in ten minutes. If people come out at this rate all the time: a. How many will come out in one hour? ............................................................................. b. If the shop is open each day from 10.00 am to 6.00 pm, how many people will come out in one day? .............................................................................
	Download Printable Version

Key Stage 2: Mathematics

Questions answered at stops 1-12 are marked on a MAP OF THE GROUNDS.

REMEMBER - WATCH OUT FOR TRAFFIC WHEN WALKING ON ALL ROADS

1. From the crossroads ...

... to where the two walls form a corner

Estimate how many paces to walk this distance

...........................................................................

Now walk it. Stay on the grass on the right-hand side and keep away from traffic.
How many paces did you walk?

...........................................................................

Was your estimate correct?

YES / NO

2. Where the two walls form a corner

a. Which is the widest of the three trees here - the right one, the left one or the middle one?

...........................................................................

b. Choose sufficient people to reach around this tree by joining arms and stretching round it. Now stand everyone in a line with their arms outstretched. Estimate how far it is around the widest tree.

...........................................................................

3. At the Triumphal Gate

a. Find the date in Roman numbers on the gate arch. Copy it down here

...........................................................................

b. In Roman numbers
M=1000
D=500
C=100
L=50
X=10
V=5
I=1

Write the date on the gate in the numbers we use now

............................................................................

4. Also at the Triumphal Gate

Blenheim is open from 9.00 o'clock in the morning until 5.00 o'clock in the afternoon.

a. How many hours is Blenheim open?

............................................................................

Write these two times using the 24-hour clock

9.00 am .................................................................

5.00 pm .................................................................

5.On the bank after the Triumphal Gate

The diagram below (not to scale) shows how steep this bank is. Calculate the missing angle '?' (Remember, the angles of a triangle add up to 180 degrees.)

6. Going down the bank

Look across the Lake at the Grand Bridge.
a. Estimate the width of the main arch at water level. Is it approximately 22m, 33m or 100m?

............................................................................

7. The Seven Arches Bridge (at the bottom of the bank)

If the water flows under here into the Lake at 500 litres per minute, how much water will flow into the lake in one hour?

.............................................................................

8. The cottage at the road junction (Fishery Cottage)

a. What is the total of the ages of all the family?

.............................................................................

b. How many have ages which are odd numbers?

.............................................................................

c. What is the total of all the even-numbered ages?

.............................................................................

d. How old was Mr Maisey when Paul was born?

.............................................................................

e. Joan is older than Elizabeth. By how much?

.............................................................................

One hundred years ago a gamekeeper called Mr Maisey lived in this cottage with his wife and eight children. Here are the details of their ages.

Mr Maisey 45 years old
Mrs Maisy 43 years old
Simon Maisey 20 years old
John Maisey 18 years old
Joan Maisey 17 years old
Peter Maisey 14 years old
Mary Maisey 11 years old
Elizabeth Maisey 10 years old
Robert Maisey 7 years old
Paul Maisey 4 years old

9. At this road junction

From the road junction to the Grand Bridge is 700 metres.

How many cms is this?

.............................................................................

How many mms?

.............................................................................

How long do you think it will take you to walk this distance?

.............................................................................

Walk this distance now. Were you correct?

.............................................................................

10. On the Bridge

The bridge was finished in 1723.

How many years ago is that?

.............................................................................

11. At the gates in front of the Palace

Have a rest here and do this question.

One day in the car park there were:

• Three hundred and twenty six cars
• Twenty three coaches
• Sixteen vans
• Six lorries

How many vehicles were parked in the car park?

Answer in numbers

.............................................................................

Answer in words

.............................................................................

12. Near the exit from the shop

Count the number of people who come out of the shop in ten minutes. If people come out at this rate all the time:

a. How many will come out in one hour?

.............................................................................

b. If the shop is open each day from 10.00 am to 6.00 pm, how many people will come out in one day?

.............................................................................

Download Printable Version