MATHEMATICS PAPER 3 EXAMINATION|2026
UPDATE|QUESTIONS AND CORRECT ANSWERS
a^m * a^n - ANSWER✔️a^m+n
a^m/a^n - ANSWER✔️a^m-n
graph of e^x - ANSWER✔️Asymtope at y=0, intersects y-axis at (0,1)
f'(x)=0 - ANSWER✔️Stationary point
f''(x)<0 - ANSWER✔️Maximum
f''(x)<0 - ANSWER✔️Concave
f''(x)>0 - ANSWER✔️Minimum
, f''(x)>0 - ANSWER✔️Convex
One-to-one function - ANSWER✔️Every y-value corresponds to only one x-value
Gradient of a straight line - ANSWER✔️change in y/change in x
Time problems - ANSWER✔️S=D/T
Remember conversions
1 min = 60 sec
1h = 60 min = 3600 sec
Percentage increase and decrease - ANSWER✔️Increase = value *1.x
Decrease = value * 0.(100-x)
Reverse Percentages - ANSWER✔️Make it equal 100% by going to 50,25,10,5 or 2% first
Working out speed from a distance time graph - ANSWER✔️Gradient
Angle at the centre is double the angle at the circumference - ANSWER✔️
Angles in the same segment are equal - ANSWER✔️
The opposite angles in a cyclic quadrilateral add up to 180° (each corner touches the
circumference) - ANSWER✔️
The angle at the circumference in a semicircle is a right angle - ANSWER✔️
The angle between a tangent and a radius is 90° - ANSWER✔️
Tangents which meet at the same point are equal in length - ANSWER✔️
The perpendicular from the centre of a circle to a chord bisects the chord - ANSWER✔️The
perpendicular line from the middle of the chord to the centre is half the length of the chord
The angle between a tangent and a chord is equal to the angle in the alternate segment -
ANSWER✔️Alternate segment theorem (angle theory)
Area of a trapezium - ANSWER✔️1/2 (a+b) x h
Use the song
Length scale factor to area scale factor - ANSWER✔️Square it or square root to go the other way
around
Pythagoras - ANSWER✔️a² + b² = c²
UPDATE|QUESTIONS AND CORRECT ANSWERS
a^m * a^n - ANSWER✔️a^m+n
a^m/a^n - ANSWER✔️a^m-n
graph of e^x - ANSWER✔️Asymtope at y=0, intersects y-axis at (0,1)
f'(x)=0 - ANSWER✔️Stationary point
f''(x)<0 - ANSWER✔️Maximum
f''(x)<0 - ANSWER✔️Concave
f''(x)>0 - ANSWER✔️Minimum
, f''(x)>0 - ANSWER✔️Convex
One-to-one function - ANSWER✔️Every y-value corresponds to only one x-value
Gradient of a straight line - ANSWER✔️change in y/change in x
Time problems - ANSWER✔️S=D/T
Remember conversions
1 min = 60 sec
1h = 60 min = 3600 sec
Percentage increase and decrease - ANSWER✔️Increase = value *1.x
Decrease = value * 0.(100-x)
Reverse Percentages - ANSWER✔️Make it equal 100% by going to 50,25,10,5 or 2% first
Working out speed from a distance time graph - ANSWER✔️Gradient
Angle at the centre is double the angle at the circumference - ANSWER✔️
Angles in the same segment are equal - ANSWER✔️
The opposite angles in a cyclic quadrilateral add up to 180° (each corner touches the
circumference) - ANSWER✔️
The angle at the circumference in a semicircle is a right angle - ANSWER✔️
The angle between a tangent and a radius is 90° - ANSWER✔️
Tangents which meet at the same point are equal in length - ANSWER✔️
The perpendicular from the centre of a circle to a chord bisects the chord - ANSWER✔️The
perpendicular line from the middle of the chord to the centre is half the length of the chord
The angle between a tangent and a chord is equal to the angle in the alternate segment -
ANSWER✔️Alternate segment theorem (angle theory)
Area of a trapezium - ANSWER✔️1/2 (a+b) x h
Use the song
Length scale factor to area scale factor - ANSWER✔️Square it or square root to go the other way
around
Pythagoras - ANSWER✔️a² + b² = c²
