PURE MATHS 2 2026 CERTIFICATION
EVALUATION EXAMS
◉ how to solve a simultaneous equation by plotting a line and circle
graph. Answer: the coordinates where the line meets the circle are
the solutions
◉ 2:3 =. Answer: 2/3
◉ y is proportional to x. Answer:
◉ y is inversely proportional to x. Answer:
◉ y is proportional to x squared. Answer: exponential graph
◉ percentage change=. Answer: (new value/original) x100
◉ finding original value after percentage increase/ decrease.
Answer: write the percentage increased/ decreased as a percentage
of the original value
divide the increased/ decreased value by this percentage to find 1%
,times by 100 to find original value
◉ 1m^2 =. Answer: 100cm x 100cm
◉ 4 ways to prove a triangle is congruent. Answer: SSS- 3 sides the
same
ASS- 1 angle 2 sides
AAS- 2 angles 1 side
RHS- right angle, hypotenuse and a side
◉ two triangles are similar if.... Answer: 1) all angles match up
2) all 3 sides are proportional
3) 2 sides are proportional and the angle between them is the same
◉ scale factor=. Answer: new length/old length
◉ probability=. Answer: number of ways for something to
happen/total number of possible outcomes
◉ Upper bound=. Answer: Maximum / minimum
◉ Lower bound=. Answer: Minimum / maximum
,◉ What are the multiples of 20?. Answer: 20, 40, 60, 80, 100, 120 ...
◉ What are the factors of 20?. Answer: 1, 2, 4, 5, 10, 20
◉ How do you find 50% of a number?. Answer: ÷ 2
◉ How do you find 25% of a number?. Answer: ÷ 4 (or half it and
half again)
◉ How do you find 10% of a number?. Answer: ÷ 10
◉ How do you find 1% of a number?. Answer: ÷ 100
◉ How do you find 5% of a number?. Answer: Find 10%, then half it.
◉ How do you find 20% of a number?. Answer: Find 10%, then
double it.
◉ How do you find 75% of a number?. Answer: Add 50% and 25%
◉ How do you 'square' a number?. Answer: Multiply it by itself.
, e.g. 5² = 5 x 5 = 25
◉ How do you 'cube' a number?. Answer: Multiply it by itself and by
itself again.
e.g. 2³ = 2 x 2 x 2 = 8
◉ What is the sum of the angles in a triangle?. Answer: 180⁰
◉ What is the sum of the angles in a quadrilateral?. Answer: 360⁰
◉ What is the sum of the angles in a pentagon?. Answer: 540⁰
◉ What is the sum of the angles in a hexagon?. Answer: 720⁰
◉ How do you find the area of a triangle?. Answer: ½base times
height
◉ How do you find the area of a rectangle?. Answer: Length times
width
◉ How do you find the circumference of a circle?. Answer: π x
diameter (or 2πr)