Pure Maths Flashcards by Kush Verma 13

Q

State the Quadratic Formula

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Q

State the discriminant formula and give 3 possible equations

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Q

What formula do you use to find the distance between two points?

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Q

What’s another way of finding the equation of the line?

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Q

What is the gradient of the perpendicular line?

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Q

The 4 laws of indices which are in the same base

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Q

The 4 laws of indices with any rational power

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Q

The 2 equations of a circle

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Q

The formula of finding the equation of the circle?

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Q

Formula of finding the centre coordinates using the circle equation:

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Q

The formula of finding the radius of the circle using the circle equation

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Q

How do you use the factor theorem?

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Q

What are the 2 ways of doing proof in year 1 pure?

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Q

What is the binomial formula?

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Q

State the cosine rule?

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Q

What is the cosine rule in terms of finding the angle?

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Q

State the sin rule in terms of finding the side

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Q

State the sine rule in terms of finding the angle?

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Q

How do you find another angle solution with the sine rule?

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Q

Using the CAST rule, can you find the angle solutions?

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Q

What equation involves sin^2x, cos^2x and 1?

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Q

What equation involves sinx, cosx and tanx?

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Q

What is the derivative equation?

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Q

What is the integration formula?

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What are the 3 laws of logarithms?

Find an equation in which you get an exponential but you convert it back it its normal value

What equation involves log y and log x?

What equation involves log y and x?

How do you do partial fractions?

How do you sketch “y = |f(x)|”

How do you sketch “y = f(|x|)”?

State the formula of the arithmetic sequence

Give two ways to present an arithmetic series equation

State the formula of the geometric sequence

State the formula for a geometric series

State the convergent geometric series

What formula helps you find the arc length?

State the formula of finding a sector of the circle’s area

State the formula of finding the area of the segment of a circle

State the 3 small angle formula’s

What formula involves tan^2x, sec^2x and 1?

What formula involves cosec^2x, cot^2x and 1?

State the domain and range of arcsin

State the domain and range for arccos

State the domain and range for arctan

State the 3 main compound angle formulas’

State the 3 main double-angle formulas’

How to approach simplifying a cos x +/- b sin x

State the differentiation of sin (kx)

State the differentiation of cos (kx)

State the differentiation of e^kx

State the differentiation of ln |x|

State how you do chain rule

What is dx/dy relationship to dy/dx

State the product rule formula

UV’ + VU’

State the quotient rule formula

(VU’ - UV’)/(V^2)

State the differentiation of tan (kx)

State the differentiation of cosec (kx)

State the differentiation of sec (kx)

State the differentiation of cot (kx)

State the differentiation of arcsin x

State the differentiation of arccos x

State the differentiation of arctan x

State the formula for differentiating parametric equations

What does it mean when a function is concave?

What does it mean when a function is convex?

State all the 9 basic formula’s for integration

How do you integrate f(ax+b)?

How do you integrate k(f’(x)/f(x)) dx using reverse chain rule?

Try ln|f(x)|

How do you integrate k f’(x)(f(x))^n dx?

Try (f(x))^n+1