Watt is a Unit?
I Think You're Hill-Areas
Turn Up The Volume
Easy as 3.14159
Time for Something Different
Geometric Genius
100

How many metres are in a kilometre?

1000

100

Find the area of a triangle that is 6m long and 8m high.

24m2

(A = 1/2 x base x height

= 1/2 x 6 x 8)

100

What is the rule for finding the volume of a rectangular box?

Volume = Length x Width x Height

OR

Volume = Base x Height

100

What is the rule for finding the circumference of a circle?

C = 2pir

OR

C = pi * Diameter

100

What is 9:18pm in 24 hour time?

21:18

100

What is the name of a shape with 5 sides?

Pentagon

200

Which unit of measurement would be most appropriate for the area of a tennis court?

Metres squared (m2)

200

Which of the following shapes has the greatest area?

A: Square with side lengths of 60cm

B: Rectangle that is 70cm wide and 50cm tall

C: Triangle that is 80cm wide and 80cm tall

D: Circle with a radius of 30cm

A: The square

(A = l x l = 60 x 60 = 3600 cm2

B = lw = 70 x 50 = 3500 cm2

C = 0.5 x base x height = 0.5 x 80 x 80 = 3200 cm2

D = = pi x r2 = pi x 302 ~ 2827 cm2)

200

A triangular prism has a depth of 30cm, length of 10cm and a height of 5cm. Find its volume. 

750cm3

(V = Area of Base x Depth

= (0.5 x 10 x 5) x 30)

200
What is the rule for the area of a circle?

A = pir^2

200

How many minutes are in 3 weeks?

30,240 minutes

(60 x 24 x 7 x 3)

200

How many degrees are in a revolution?

360O

300

Convert 4.2m to mm

4.2m = 4200mm

300

Find the area of this composite shape:

A = 2 x ASquare + ATriangle

= 2 x length2 + 0.5 x base x height

= 2 x 22 + 0.5 x 4 x 4

= 8 + 8 = 16 m2

300

Convert 1m3 into cm3

1,000,000cm3

(Multiply by 1003, or multiply by 100 three times)

300

Find the circumference and area of a circle with radius 10m (to 2 d.p.).

C = 2pir = 2*pi*10 

~ 62.83m

A = pir^2 = pi*10^2

A ~ 314.16m^2

300

If a moment is 90 seconds, how many moments are in 1 hour?

40 moments

(60 x 60 = 3600 seconds

3600 / 90 = 40)

300

The angles inside a triangle always add up to what number?

180

400

What measurement system is used by everyone EXCEPT for USA, Liberia and Myanmar?

The Metric System

400

A rectangle has an area of 200 cm2. Its length is double its width. What is the width of the rectangle?

Arectangle = lw, and l = 2w

Arectangle = 2w x w = 2w2

200 = 2w2

100 = w2

w = 10 cm

400

Each face of a cube has an area of 4m2. Find the volume of the cube.

Asquare = length2

4 = l2, so l = 2m

Vcube = length3

Vcube = 23 = 8m3

400

A cylinder has a radius of 50cm and a height of 4m. Find its Volume in cm3 and m3 (to 2 d.p.)

V = base*height = pi*0.5^2*4

~ 3.14m3

V = base*height = pi*50^2*400

~ 3,141,592.65cm3

400

It is currently 12:34pm Wednesday in Melbourne, Australia (GMT + 11). What time is it in Toronto, Canada (GMT - 5)?

8:34pm Tuesday

(12:34pm Wed - 11 hours = 1:34am Wed GMT

1:34am Wed - 5 hours = 8:34pm Tue)

400

Convert 123cm3 into mL

123mL

500

The following unit of measurement for temperature is spelled incorrectly. Tell me the correct spelling!

Farrenheight (OF)

Fahrenheit

500

If 1 inch = 2.54cm, find the area of a triangle that is 30 inches wide and 50 inches tall in square metres to 2 decimal places.

0.96774m2

(30" x 50" = 76.2cm x 127.0cm

= 0.762m x 1.27m

= 0.96774m2 ~ 0.97m2)

500

There are 80 liquorice cubes stacked in a cylindrical glass jar. The liquorice cubes have a side length of 2 cm and the glass jar has a radius of 5 cm and a height of 12 cm. How much air space remains in the jar of liquorice cubes? Give the answer correct to two decimal places.

Vair = Vjar - 80 x Vliquorice cube

= pi xx r^2 xx h - 80 xx l^3

= pi xx 5^2 xx 12 - 80 xx 2^3

= 942.477796 - 640

= 302.48 cm3

500

Find the area of the shaded region to 2 decimal places: 

Ashaded = Asquare - Acircle

= l^2 - pi*r^2

= 24^2 - pi*12^2

= 576 - 452.389342

= 123.61 km2

500

Your friend has invited you to a party to celebrate them turning 10,000 days old. How old are they in years (to 1 d.p.)

27.4 years

(10,000 / 365 ~ 27.397)

500

Find the capacity of the following swimming pool in L:

V = Vrectangular prism + Vtriangular prism

= lwh + 1/2 bhl

= 18 xx 1 xx 9 + 1/2 xx 12 xx 2 xx 9

= 162 + 108 = 270 m3

1 m3 = 1000L, so 270 m3 = 270,000 L

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