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,GCSE
MATHEMATICS HIGHER TIER
Formulae Sheet
Insert
8300
IB/M/Insert to GCSE Mathematics Higher Tier/E5
FOR EXAMS IN 2024 ONLY
, 2
Perimeter, area and volume Quadratic formula
Where a and b are the lengths of the parallel sides The solution of ax 2 + bx + c = 0
and h is their perpendicular separation: where a ≠ 0
1
Area of a trapezium = (a + b) h
2
– b ± b2 – 4ac
x=
Volume of a prism = area of cross section × length 2a
Where r is the radius and d is the diameter:
Circumference of a circle = 2π r = π d
Area of a circle = π r 2
Pythagoras’ Theorem and Trigonometry
In any right-angled triangle where a, b and c are
the length of the sides and c is the hypotenuse:
a2 + b2 = c2
In any right-angled triangle ABC where a, b and c
are the length of the sides and c is the
hypotenuse:
a b a
sin A = cos A = tan A =
c c b
In any triangle ABC where a, b and c are the
length of the sides:
a b c
sine rule: = =
sin A sin B sin C
cosine rule: a 2 = b 2 + c 2 – 2bc cos A
1
Area of triangle = a b sin C
2
Compound Interest Probability
Where P is the principal amount, r is the interest Where P (A) is the probability of outcome A and
rate over a given period and n is number of times P (B) is the probability of outcome B:
that the interest is compounded:
n P (A or B) = P (A) + P (B) – P (A and B)
r
Total accrued = P 1 + P (A and B) = P (A given B) P(B)
100
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