Maths is good
What is the probability of an event that will definitely happen?
1, 100% or 1/1
Simplify the fraction 144/360.
2/5
What is a recurring decimal? Write an example on the board.
A decimal in which a digit or group of digits repeats forever, e.g. 0.333... or 0.142857142857...
What is the formula for the volume of a cuboid?
Volume = length × width × height (V = l × w × h)
What is the sum of angles around a point?
360
What is a surd?
An irrational root (like √2 or √3) that can't be simplified into a whole number or exact fraction.
In algebra, what is a variable?
A letter (like x or y) used to represent a number that can change or is unknown.
Data set: 4, 8, 6, 5, 3, 8, 9, 5, 8
Find the median.
Order it: 3, 4, 5, 5, 6, 8, 8, 8, 9 → middle value = 6
What is a rational number?
A number that can be written as a fraction.
Data set: 4, 8, 6, 5, 3, 8, 9, 5, 8
Find the mode.
8 (appears three times — more than any other number)
What is the LCM (Lowest Common Multiple) of 8 and 12 and 18?
72
What is the difference between a cube and a cuboid?
A cube has 6 equal square faces (all sides the same length); a cuboid has rectangular faces and can have different length, width and height.
What is the HCF (Highest Common Factor) of 30 and 48?
6
What is the 7th prime number?
17 (2, 3, 5, 7, 11, 13, 17)
Name four different types of graph/chart used in statistics.
Any four of: bar chart, pie chart, line graph, scatter graph, histogram, frequency polygon, box plot.
Data set: 4, 8, 6, 5, 3, 8, 9, 5, 8
Calculate the mean.
56, ÷ 9 = 6.22 (or ≈6.2)
Pi (π) is the ratio between which two parts of a circle?
The circumference and the diameter (π = circumference ÷ diameter).
In what situation would you use a tally chart?
When collecting and counting data quickly, especially while observing or surveying something in real time (e.g. counting how many cars of each colour pass by).
What are perpendicular lines, and what are parallel lines?
Perpendicular lines meet at a right angle (90°). Parallel lines never meet and stay the same distance apart.
Data set: 4, 8, 6, 5, 3, 8, 9, 5, 8
Calculate the range.
9 − 3 = 6
What is an outlier in a data set?
A value that is much higher or lower than the rest of the data.
What type of graph is best for showing how something changes over time?
Line graph.
A number machine doubles a number, adds 5, then multiplies the result by 2. If the output is 26, what was the input?
3 (26 ÷ 2 = 13, 13 − 5 = 8, 8 ÷ 2 = 4)
−4(6x − 4) = 76 − 30x
−24x + 16 = 76 − 30x
6x = 60
x = 10
A cube has a volume of 125cm³. What is the length of each side?
5cm