Teaching Treasures Year 8 Maths

Year 8-9 Maths

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If x = ²/₃ , y = 7.66^{^R},m = ⁶/₇ find the value of each expression.


^{^1.} (x + m) × y =



^{^2.} 13m + 2y - x =



^{^3.} ( = 8) × x =

			What does h equal?



^⁴^{^.} ( = 4) × m + 7x =

			What does a equal?

Solve the following equations

^⁵^{^.}5(x + 6) = 60 x =	^⁶^{^.}9(x - 3) = 117 x =
^⁷^{^.}3(4x - 3) = 51 x =	^⁸^{^.}7(2x - 6) = 9x - 12 x =
^⁹^{^.}5(2x - 2) + 2(5 - n) = 24 *x =* and n =	^¹⁰^{^.}9(3x - 7) - 8(3y + 1) = -11 x = and y =

Problems

NOTE: The answers to the following problems have been calculated
to eight decimal places and then rounded. You will need to do this.

^¹¹^{^.}A triangular shape has a height of 53 cm and a base measurement of 42 cm.
Find the hypotenuse of this triangle. Round answer to the nearest hundredth.

ANSWER cm

^¹²^{^.}A triangular shaped garden has a base measurement of 4.25 metres and a height of 3.86 metres.
Find the total area of this garden. Round answer to the nearest hundredth.

ANSWER m²

^¹³^{^.}The water authority has built a new concrete water tank for a small towns water supply. The tanks
diametre is 3.5 metres and height 1.96 metres. Round all answers to the nearest hundredth.

a) Find the area of the tank.	ANSWER m²
b) Find the circumference of the water tank.	ANSWER m
c) Find the volume of the tank.	ANSWER m³

^¹⁴^{^.}A cone shaped object has a radius of 4.67 cm and a height of 10.56 cm.
Find the volume of this cone. Round answer to the nearest 10th.

ANSWER cm³

^¹⁵^{^.}A spherical shaped ball has a radius of 5.28 cm and a height of 10.56 cm. Round answer to the nearest 10th.

a) Find the surface area of the ball.	ANSWER cm²
b) Find the volume of the ball.	ANSWER cm³

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