Algebra
What is a pronumeral?
A letter used in algebra to represent an unknown value.
Write this as a ratio:
$4 to $11
4:11
What is the longest side of a right-angled triangle called?
Hypotenuse
What is 25% as a decimal?
0.25
How do you calculate the volume of any shape?
Multiply the area by the height of the 3D shape.
What is the coefficient of x is this equation: 5x + 3 = 13
5
Write this ratio in its simplest form:
12:16
3:4
What is the formula for Pythagoras' Theorem?
c2 = a2 + b2
What is 20% of 150?
30
Find the volume of a 3D shape which has a base area of 23 m2 and a height of 14 m.
322 m3
What are like terms?
Like terms are terms that have the exact same pronumerals.
A car travels 240 kilometers in 3 hours.
What is the car's average speed in kilometers per hour?
80 km/hr
A triangle has sides of 3 metres and 4 metres. What is the length of the hypotenuse?
5 metres
How do you convert a fraction to a percentage?
Times it by 100.
A cube has a side length of 10 cm. What is its volume?
1000 cm3
Solve this equation for b:
3b + 2 = 20
b = 6
Convert 600 L/h to L/min
10 L/min
What is the formula used to calculate the length of a short side in a right-angled triangle?
a2 = c2 - b2 OR b2 = c2 - a2
Simplify this fraction: 36/45
4/5
The base/face of a triangular prism has a base length of 10 m and a height of 4 m. The height of the prism is 8 m. What is the volume?
160 m3
Solve this equation for x:
4(2x - 1) = 44
x = 6
Share the amount of 250kg in the ratio 3 : 7.
75kg:175kg
The hypotenuse of a right triangle is 13 cm, and one of the shorter sides is 5 cm. What is the length of the other shorter side?
12 cm
A tank is 2/3 full of water. If the tank holds 126 litres when full, how many liters of water are currently in the tank?
84 L
A cube has a volume of 27 m3. What is the length of its sides?
3 m