Algebra
Solve for x
x - 4 = 5
x = 9
Calculate the volume of a cuboid with a length of 5 cm, a width of 4.2 cm and a height of 3.5 cm.
V = 73.5 cm³
What do we call two straight lines an equal distance apart that never meet?
Parallel lines
What are the HCF and LCM of 39 and 65?
HCF = 13
LCM = 195
Calculate
2 + 3 x 4
= 14
Solve for x
11= 4 - x
x = -7
Calculate the circumference of a circle with a diameter of 28 mm, where pi equals 22/7.
C = 88 mm
Which property of the circle is two times the length of the radius?
Diameter
What is the population of Earth (7,800,000,000) when written in Scientific (Exponential) Notation?
= 7.8 x 10^9
Calculate
35 - 2 (8+3)
= 13
Solve for x
3x + 21 = 3
x = -6
Calculate the total surface area (TSA) of a cube with sides of 5 cm length.
TSA = 150 cm²
What do we call two straight lines that intersect at right angles?
Perpendicular lines
What is the square root of 0.64?
= 0.8
Calculate
(14 - 5) + 3 x 5
= 24
Solve for x
12x - 2 = 4x + 2
x = ½
The sports field is a rectangle measuring 80 m by 60 m. If Paul wants to walk from Building 10 to the front gate of the school, the quickest route is diagonally across the sports field. How far is that route?
= 100 metres
What is the name given to the longest side of a right-angled triangle, which can always be found opposite the right-angle?
Hypotenuse
What is the cube of ⅚?
= 125/216
Calculate
7 + 2³ - 6² / (5 - 2)
= 3
Solve for x
9x + 8 = -2(3x + 1)
x = -⅔
The fire brigade has a 41 ft long ladder. They need to reach 40 ft in the air to rescue a cat stuck in a tree. How far from the base of the tree must the fire brigade place their ladder?
= 9 ft
What do we call a line that cuts an angle into two angles of equal size?
Bisector
Why is 2 the only even prime number?
Because every other even prime number has 2 as a factor, and therefore has at least three factors.
Calculate
(12 - 2²) + 3 x [4 (2³ - 6)]
= 32