Measurement
Perimeter
Area
Surface Area
Lucky Dip
100
Convert 1 000 000 m to km
1 000 km
100
Calculate the perimeter of an octagon where all sides are 23 mm in length.
184 mm
100
Calcualte the area of a rectangular hockey field with dimensions 110 m by 75 m.
A=lw=110xx75=8250
Area = 8250 m2
100
Calcualte the surface area of the box shown.
Formula: SA=2(lw+wh+lh)=2(50xx80+80xx18+50**18)=12680
Answer: 12 680cm2
Other techniques ok as long as you get to the right answer!
100
A metal cube sculpture has a side length of 450 cm. The surface is to be covered with a weather resistant finish. How many square metres need to be covered?
SA=6l^2=6xx450^2=1215000
Answer: 121.5 m2
200
Change 1 000 000 mm to km
1 km
200
Calculate the perimeter of the maritime flag that represents a diver is in the water, give your answer in metres.
1250 mm = 1.25 m
200
A pizza is 30 cm in diameter. Calcualte the area of the pizza, correct to two decimal places.
A=pixxr^2=pixx15^2=706.858347...
Answer: 706.86 cm2
200
A camping supplies company is manufacturing the tent shown. Calcualte the amount of material required to make the tent (including the floor).
SA=bh+pd=1.8xx1.2+(1.2+1.2+1.8)2.2=11.4
Total: 11.4 m2
200
Calcualte the perimeter of the shape.
Quarter circle: (2pir)/4=(2pixx11)/4=17.278759...
Total: 17.278759...+2xx11=39.2787595...
Answer: 39.28 cm
300
Change 3.47 m to mm
3 470 mm
300
The Australian flag that flies above Parliament House in Canberra is 12.8 m long and 6.4 m high. Calculate the length of the ribbing around the edge of the flag.
38.2 m
300
Calcualte the area of glass needed to cover each trapezoidal section of the building in federation square in Melbourne. Give your answer in metres.
A=((a+b)h)/2=((110+300)900)/2=630000
630000-:10-:10-:100-:100
Answer: 0.63 m2
300
A tin of pineapples is to be wrapped with a label on the curved surface. Calcualte the area of the label, correct to 2 decimal places.
2pirh=2xxpixx5xx11=345.5751918...
Answer: 345.58 cm2
300
Calculate the area of the shaded part of the shape.
Rectangle: A=lw=25xx50=1250
Parallelogram: A=bh=30xx10=300
Total: 950 mm2
400
Change 17.3 mm2 to cm2
0.173 mm2
400
The diagram shows a walking circuit in a national park. The paths surround a shape including a triangle, a rectangle and a semicircle. Calculate the length of the path around the circuit to the nearest metre.
Rectangle long sides: 2 xx 700=1400
Triangular sides: 500+400=900
Semi Circle: (2 xx pixx150)/(2)=471.238898...
Total: 2 771 m
400
3 arched windows shown below are being installed in the front room of a house. Calcualte the area of all three windows correct to two decimal places.
Rectangle: A=lw=0.95xx1.75=1.6625
Semicircle: A=(pixxr^2)/2=(pixx0.475^2)/2=0.3544109...
Single window: 0.3544109...+1.6625=2.0194109...
Total: 6.06 m2
400
A disco mirror ball is 33 cm in diameter. It is covered with small mirror tiles that have an area of 1.33 cm2 each. Calculate the number of tiles needed to cover the mirror ball.
Sphere: SA=4pir^2=4pixx16.5^2=3421.1943997...
Tiles: 3421.1943997...-:1.44=2375.829444...
Answer: 2 376 tiles
400
Choosing team gets free 400 points!
You're welcome :D
500
Give 3 km2 in m2
3 000 000 m2
500
The 50c coin is close to being circular in shape, but is actually a regular dodecagon with 12 sides. Calculate the perimeter of the 50c coin assuming it is circluar with a radius of 15.82 mm and a dodecagon with each side measuring 8.2 mm long.
What is the difference in lengths?
Dodecagon: 12 xx 8.2=98.4
Circle: 2 xx \pi xx15.82=99.3999915596
Difference = 1 mm
500
Calcualte the area of the shaded shape. Give your answer correct to two decimal places.
Semicircle: A=(pir^2)/2=(pixx8^2)/2=100.530964...
Triangle: A=1/2lw=1/2xx16xx14.5=116
Total: 216.53 cm2
500
A jewellery box is being constructed using the dimensions shown in the diagram below. Calculate the amount of material to the nearest square metre that should be ordered if an extra 10% is ordered to cover edges and wastage.
Trapezium base (no large rectangle): SA=2(a+b)/2h+pd=2xx(20+30)/2xx16+(16.8+16.8+20)xx12=800+643.2=1443.2
Half cylinder: SA=(2pir^2+2pirh)/2=(2pixx15^2+2pixx15xx12)/2=1272.34502...
Total Order: 1.1xx(1443.2+1272.34502...)=2987.099527...
Answer: 2 987 m2
500
The diagram shows a backyard pool that needs to be repainted. There are tiles around the top edge to a depth of 40cm. Calcualte the area to be painted.
Height/depth adjustments: 1-0.4=0.6, 2-0.4=1.6
Area of trapezium: A=(a+b)/2h=(0.6+1.6)/2(10)=11
Area of other edges: A=pd=(0.6+1.6+10+10.05)xx4=89
Total area: TSA=11xx2+89=111
Answer: 111 m2