Flashcards
New GCSE Maths required formulae
Cards in this deck (22)
- 1Quadratic Formula - solve: \(a\)\(x^2\)+\(b\)\(x\)+\(c\)=\(0\) where \(a\) \(\neq\) \(0\)\begin{array}{*{20}c} {x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}\\ \end{array}
- 2Circumference of a Circle:\(2\)\(\pi\)\(r\) or
\(\pi\)\(d\)
where \(r\)=radius, \(d\)=diameter - 3Area of a Circle:\(\pi\)\(r\)\(^2\)
- 4Pythagoras theorem In any right-angled triangle where \(a\), \(b\) and \(c\) are the length of the sides and \(c\) is the hypotenuse:\(a^2\)+\(b^2\)=\(c^2\)
- 5Trig: In any right-angled triangle \(ABC\) where \(a\), \(b\) and \(c\) are the length of the sides and \(c\) is the hypotenuse: \(sinA\)=\(sinA\)=\(\frac{a}{c}\)
- 6Trig: In any right-angled triangle \(ABC\) where \(a\), \(b\) and \(c\) are the length of the sides and \(c\) is the hypotenuse: \(cosA\)=\(cosA\)=\(\frac{b}{c}\)
- 7Trig: In any right-angled triangle \(ABC\) where \(a\), \(b\) and \(c\) are the length of the sides and \(c\) is the hypotenuse: \(tanA\)=\(tanA\)=\(\frac{a}{b}\)
- 8Sine Rule:\(\frac{a}{sinA}\)=\(\frac{b}{sinB}\)=\(\frac{c}{sinC}\)
- 9Cosine Rule:\(a^2\)=
\(b^2\)+\(c^2\)-\(2\)\(b\)\(c\) \(cosA\) - 10Trigonometry: Area of a Triangle\(\frac{1}{2}\)\(a\)\(b\)\(SinC\)
- 11Area of a Trapezium= (Where \(a\) and \(b\) are the lengths of the parallel sides and \(h\) is their perpendicular separation)\(\frac{1}{2}\) (\(a\) + \(b\))\(h\)
- 12Volume of a Prism:area of cross section × length
- 13Compound interest: Where \(P\) is the principal amount, \(r\) is the interest rate over a given period and \(n\) is number of times that the interest is compounded, Total accrued=Total accrued=
\begin{array}\(P\left(1+ \frac{r}{100}\right)^n\end{array} - 14Where P(A) is the probability of outcome A and P(B) is the probability of outcome B: P(A or B) =P(A or B) = P(A) +P(B) - P(A and B)
- 15Where P(A) is the probability of outcome A and P(B) is the probability of outcome B: P(A and B)P(A and B) =
P(A given B) P(B) - 16Curved surface area of a cone:\(\pi\)\(r\)\(l\)
- 17Surface area of a Sphere:\(4\)\(\pi\)\(r\)\(^2\)
- 18Volume of a Sphere:\(\frac{4}{3}\)\(\pi\)\(r\)\(^3\)
- 19Volume of a Cone:\(\frac{1}{3}\)\(\pi\)\(r\)\(^2\)\(h\)
- 20Final Velocity \(v\):\(v\)=\(u\)+\(at\)
(\(u\)=initial velocity, \(a\)=constant acceleration, \(t\)=time taken) - 21Displacement \(s\):\(s\)=\(ut\) +\(\frac{1}{2}\)\(a\)\(t\)\(^2\)
(\(u\)=initial velocity, \(a\)=constant acceleration, \(t\)=time taken) - 22Velocity \(v\)\(^2\):\(v\)\(^2\)=\(u\)\(^2\)+ \(2\)\(as\)
(\(u\)=initial velocity, \(a\)=constant acceleration, \(s\)=displacement)
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- Description
- Required formulae for the new maths GCSE - these will NOT be given during the exam, they must be learned in advance
- Created by
- Deleted user · Feb 2018
- Updated
- Feb 23, 2018
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- Created by Sarah Egan · Dec 2, 2015
- Copied by Luc Dielemans · Feb 23, 2018
- Copied by Luc Dielemans · Feb 23, 2018
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