Question: What is the quadratic formula? Question: What is the discriminant? Answer: Answer:

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1 Question: What is the quadratic fmula? Question: What is the discriminant? Question: How do you determine if a quadratic equation has no real roots? The discriminant is negative ie Question: How do you determine if a quadratic equation has two real roots? The discriminant is positive ie Question: How do we find the points at which a quadratic function crosses the x-axis? Put y = 0 and solve the quadratic equation by factising, completing the square using the fmula. The x-axis crossing points are the solutions (the roots ) of the equation. Question: How do you determine if a quadratic equation has equal (repeated) real roots? The discriminant equals zero ie Question: What is the shape of the graph of a quadratic function? A parabola (a symmetrical u-shape). If the x 2 term is positive, it is a smiley face ( ) If the x 2 term is negative, it is a sad face upside down u ( Question: If we have completed the square to get ( what are the codinates of the minimum point of this quadratic function? ( Question: What does 1 equal? Question: How do we write in terms of and? Question: Factise ( ( Question: Complete the square: ( Simplify Simplify

2 Simplify ( Question: What is 1 What is? What is? Question: What is the value of? 4 Question: What is the value of? Question: What is the fact theem? If ( is a fact of ( then ( Question: What is the remainder theem? If ( is divided by ( then the remainder is ( Question: How would you rationalise the denominat of Question: Simplify? Multiply by Question: How do you find the gradient of the straight line joining two points? Question: What method should you use to solve simultaneous equations where one is linear and one is quadratic? Substitution Question: When solving an inequality, what must you do if you multiply divide both sides by a negative number? Turn the inequality sign around Question: What must you do when solving a quadratic inequality? Draw a sketch

3 Question: How do you find the distance between two points? Use Pythagas Theem ie ( ( Question: If the straight line L has gradient m, what is the gradient of the straight line perpendicular to L? (ie the negative reciprocal) Question: What does the symbol (uppercase sigma) represent? Sum of Question: If you are sketching a cubic graph that has a positive x 3 term, where does your sketch start - bottom left top left? Bottom left Question: What is the difference between an arithmetic series and a geometric series? In an arithmetic series there is a common difference between the terms (ie add the same amount each time). In a geometric series there is a common ratio between the terms (ie multiply by the same amount each time). ( 0, 5 ) ( 1, 5 ) ( 3, 15 ) ( 3, 8 ) ( 3, -5 ) Reflection in the y-axis ( -3, 5 ) Reflection in the x-axis Vertical translation by vect ( ) (ie move up a units)

4 Hizontal translation by vect ( ) (ie move left a units) Vertical (y-direction) stretch, scale fact a Question: Differentiate with respect to. Hizontal (x-direction) stretch, scale fact Question: If a tangent to a curve at the point P has gradient, what is the gradient of the nmal to the curve at the point P? Question: Integrate with respect to. + c Question: What is the equation of a circle with centre (a,b) and radius r? ( ( Question: What is the midpoint of the points (a, b) and (c, d)? ( ) Question: What is a chd? A line that joins two points on the circumference of the circle Question: What is the name of a line that touches a circle at one point only? Tangent Question: When does a geometric series have a sum to infinity? When it is convergent (ie the common ratio is between 1 and minus 1). Question: What is a coefficient? A number used to multiply a variable. eg in 4x 2, the coefficient of x 2 is 4 Question: What notation do we use f 3 factial? How is it calculated and what is its value? 3! = 3 x 2 x 1 = 6 Question: What notation do we use f 5 choose 2? How is it calculated? ( ) 5 C 2 =

5 Question: Write 2 3 = 8 in log fm log 2 8 = 3 Question: Write log 4 16 = 2 in index fm 4 2 = 16 Question: Log laws Write as a single log: log a x + log a y log a xy Question: Log laws Write as a single log: log a x - log a y log a ( Question: What is the value of log a 1? 0 Question: What is the value of log a a? 1 Question: Write log a x n without an index nlog a x Question: What is log a b in terms of log to the base b? Question: When is a function decreasing? When the gradient is negative Question: When is a function increasing? When the gradient is positive Question: How do we find stationary points? What are the three types of stationary point? Find the point(s) where the gradient equals zero. Stationary points can be a minimum maximum (these are both turning points ) a point of inflexion/inflection. Question: How do we find the area under a curve between x = a and x = b? Integrate the function and evaluate it between the limits a and b. Question: What does the second derivative tell us about the nature of a stationary point? If the second derivative is positive, it is a minimum. If the second derivative is negative, it is a maximum. (If the second derivative is zero, it could be a minimum, maximum point of inflexion). Question: In the fmula f the Trapezium Rule, what do the letters h and n represent? h is the width of a strip n is the number of strips (there are n+1 dinates)

6 Question: How do you find the area of a triangle? Question: What is the Sine Rule? where C is the included angle where h is the perpendicular height Question: How many radians is 180 o? Question: How do you find the length of an arc of a circle, if the angle is given in radians? Question: What is the period of the Sine and Cosine functions? 360 o Question: What is the period of the Tangent function? 180 o