How many metres are in a kilometre?
1000
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)
What is the rule for finding the volume of a rectangular box?
Volume = Length x Width x Height
OR
Volume = Base x Height
What is the rule for finding the circumference of a circle?
C = 2pir
OR
C = pi * Diameter
What is 9:18pm in 24 hour time?
21:18
What is the name of a shape with 5 sides?
Pentagon
Which unit of measurement would be most appropriate for the area of a tennis court?
Metres squared (m2)
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)
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)
A = pir^2
How many minutes are in 3 weeks?
30,240 minutes
(60 x 24 x 7 x 3)
How many degrees are in a revolution?
360O
Convert 4.2m to mm
4.2m = 4200mm
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
Convert 1m3 into cm3
1,000,000cm3
(Multiply by 1003, or multiply by 100 three times)
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
If a moment is 90 seconds, how many moments are in 1 hour?
40 moments
(60 x 60 = 3600 seconds
3600 / 90 = 40)
The angles inside a triangle always add up to what number?
180
What measurement system is used by everyone EXCEPT for USA, Liberia and Myanmar?
The Metric System
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
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
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
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)
Convert 123cm3 into mL
123mL
The following unit of measurement for temperature is spelled incorrectly. Tell me the correct spelling!
Farrenheight (OF)
Fahrenheit
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)
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
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
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)
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