1. Visit to Metrona Island
Level 1 Mathematics Solve problems involving measurement of every day objects.
Visit to Metrona Island

2. QUESTION ONE QUESTION TWO
7cm
In Grant’s pack there is a cylindrical can of Peanuts and Raisins.
Calculate the curved surface area of the label on the can.
Show all your working
12cm
QUESTION TWO
The advertising pamphlet for the island trip was on a piece of paper in the shape of a trapezium.
24.3 cm
Calculate the area of the pamphlet.
Show all your working
4 cm
5 cm
18.5cm

3. QUESTION THREE QUESTION FOUR
8.7cm
In Tonia’s pack there is a box of dried apricots.
Calculate the volume of the box.
6.7cm
1.1cm
QUESTION FOUR
Grant and Tonia started the climb from the wharf on Metrona Island at 0950 hours and reached the summit at 1005 hours.
On the climb, they travelled a distance of 750 metres.
Calculate their average speed on the climb from the wharf to the summit in kilometres per hour.

4. QUESTION FIVE QUESTION SIX
A large tree on the island had been felled (chopped down).
The usable timber came from the trunk of the tree.
This was is the shape of a cone with base diameter of 1.6 m
and length 18.5 m.
Calculate the volume of usable timber in the tree.
QUESTION SIX
QUESTION SIX
There was a large picnic table at the summit that had
the table top in the shape of a triangle as shown.
It had a side length of 160 cm, and an area of cm2.
Calculate x, the length across the table.
_________________________________________
160 cm x
160 cm

5. Visit to Metrona Island
PART TWO
Visit to Metrona Island

6. QUESTION SEVEN M Wharf Kilop 120 2.5 km O
The ferry trip from Kilop on the mainland, to the wharf on Metrona Island, follows a circular path with radius 2.5 km for an
angle of 120.
The centre of the sector is at point O.
The ferry travels at an average speed of 12 km/hr.
Calculate how many hours the ferry takes to travel from Kilop to the wharf.
Wharf
Kilop
120
2.5 km O

7. QUESTION EIGHT Tonia has a water bottle in the shape of a cylinder.
The curved surface of the bottle happens to be the size and shape
of this piece of paper wrapped long-ways around the bottle.
Record your measurements on the diagram.
Calculate the capacity of water that Tonia’s water bottle can hold.

8. QUESTION NINE M A scaled map of Metrona Island is given below.
Scale: Width 1 square : 200 m
Metrona Island
By modelling the island using at least two different basic shapes,
estimate the area the island covers in hectares.

9. QUESTION TEN E Metrona Island is an extinct volcano.
The top of the crater is circular in shape with a diameter of 100 metres.
The crater is reasonably symmetrical and about 60 metres deep.
(a) By modelling the volcano using at least two different basic shapes,
estimate the volume of the crater.
Show all your working
(b) Comment on the limitations/effectiveness of the modeling you have done in part(a).