Solve:
x-8=7
x=15
Which is the correct rule for Pythagoras' Theorem for the triangle shown below.
D
(a) Convert 3.5 m into cm
(b) Convert 5.6 cm2 into mm2
(a) 350 cm
(b) 560 mm2
Use the rectangular prism to state the side lengths indicated on the net diagram shown below.
(a) 2 cm
(b) 6 cm
(c) 3 cm
(a) Convert 25 cm3 into mL
(b) Convert 520 m3 into L
(a) 25 mL
(b) 520 000 L
Solve:
5x+3=28
x=5
Is the triangle below a right-angled triangle? Use the converse of Pythagoras' Theorem to find out.
No
Calculate the perimeter of the following shape. Write your answer to 2 decimal places.
177.12 cm
Use the triangular prism to state the value of each side indicated in the net diagram shown below.
(a) 10 cm
(b) 7 cm
(c) 4 cm
Calculate the volume of the cube shown below.
512 m3
Solve:
5d-4=2d+17
d=7
Calculate the value of the y in the right-angled triangle below, to 2 decimal places.
y=7.34
Calculate the area of the shape below, to 1 decimal place.
17 cm2
(a) Calculate the surface area of the rectangular prism shown below.
(b) If 1 tin of paint covers 30 m2, how many whole tins of paint would you need to cover the shape?
(a)52 m2
(b) 2 tins
Calculate the volume of the triangular prism shown below.
210 cm3
Solve:
3(x-2)=2(x+1)
x=8
Calculate the value of y in the right-angle triangle below, to 1 decimal place.
y=118.8
Calculate the arc length for the shape below, to the nearest cm.
152 cm
Calculate the surface area of the cylinder shown below, to the nearest whole.
32 m2
Calculate the volume of the cylinder shown below, to 1 decimal place.
28274.3 cm3
Solve:
(2a-1)/5=(a+7)/4
a=13
D
Calculate the area of the shape shown below, to the nearest whole.
12440 cm2
Calculate the surface area of the triangular prism shown below, to the nearest whole.
1560 cm2
(a) Calculate the capacity of the shape shown below in ML.
(b) If the shape can be filled with water at a rate of 3.5 ML per hour, how long will it take to fill?
(a) 18.2 ML
(b) 5.2 hours