Angles/Geometry
Two angles on a straight line are given as 75° and 2x°. Find the value of x.(GRADE 9 ONLY)
x = 52.5 (Angles on a straight line add up to 180°. 2x = 180 - 75 = 105 -> x = 52.5)
Solve the linear equation for x: 4x - 7 = 13.(GRADE 9 ONLY)
x = 5
Calculate exactly 25% of $64.(GRADE 9 ONLY)
$16
A regular polygon has an exterior angle of 40°. How many sides does this polygon have?(GRADE 10 ONLY)
9 sides (The sum of exterior angles is always 360°. 360 / 40 = 9).
Given the functions f(x) = x + 3 and g(x) = 2x, find the value of the composite function (fg(4).(GRADE 10 ONLY)
11
A jacket costs $80. Its price is increased by 15%. What is the new price of the jacket?(GRADE 10 ONLY)
$92.
A right-angled triangle has a base of 6 cm and a hypotenuse of 10 cm. Find the length of the perpendicular height.
8 cm (Using Pythagoras' Theorem).
Solve these simultaneous equations for x and y:
x + y = 12
x - y = 4
x = 8, y = 4
A store runs a sale reducing all prices by 20%. If a pair of shoes costs $48 during the sale, what was its original price?
$60
In a circle, a chord of length 24 cm is drawn at a distance of 5 cm from the center. Find the radius of the circle.
13 cm
Make x the subject of the formula: y = (x + 5) / 3
x = 3y - 5
A car bought for $10,000 depreciates (loses value) at a rate of 10% per year. What is its value at the end of exactly 2 years?
$8,100.