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Skills Needed for Mathematical Problem Solving (1) The Line � equation of a line; The Line � Finding the equation of a line given the slope and a co-ordinate/ intersection of two lines; Q3: The Circle � finding a point on the circle given the equation of the circle; The Circle � circle with the axes as tangents/ finding the equation of a circle; Q4: Trigonometric proof: cos2? = 1 � 2sin 2 ?. Pythagoras and Trigonometry. Higher Only. Pythagoras� theorem: a 2 + b 2 = c 2. a^2 +b^2 = c^2 a2 + b2 = c2. sin ? (x) = o p p h y p. \sin (x) = \dfrac {\text {opp}} {\text {hyp}}\,\,\,\, sin(x) = hypopp. cos ? (x) = a d j h y p. \cos (x) Equations For Maths Paper 1 Keys = \dfrac {\text {adj}} {\text {hyp}}\,\,\,\, cos(x) = hypadj. Use the exact values of the sine, cosine and tangent of 30�, 45�, 60�, and related angles, e.g. (cos) � = (�dfrac{1}{2} sqrt{3}) Use the notations (sin^{?1}x), (cos^{?1}x), (tan^{?1}x) to denote the principal values of the inverse trigonometric relations.
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Probability of an outcome in a game Q6 Probability. Flow rate � cross sectional area multiplied by rate Q8 Statistics. Measures of spread and central tendency Q9 Trigonometry. Skip to content. Section A: Concepts and Skills � There will be six questions, each worth 30 marks, and students must answer on their choice of five questions, rather than answering every question Section B: Contexts and Applications � There will be four questions, each worth 50 marks, and students must answer on their choice of three questions, rather than answering every question This new layout of the paper reflects the loss of face-to-face teaching and allows students more flexibility in the exam and therefore students can play to their strengths in the exam based on what topics they are strongest in, due to the added options on the paper.

Close Menu. Differentiation � first derivative Functions � where a line intersects a curve Differentiation � finding the point of inflection. Financial Equations For Maths Paper 2 Sample maths � amortisation formula to find monthly payment Financial maths � present value and total mortgage owed.

Differentiation from first principles Differentiation of an equation containing the natural log Integration. Sequences and series � completing the sequence Substituting into the formula for a sequence Algebraic fractions Simplifying algebraic expressions Algebra � solving for n Substitution into a formula Proof by induction. Trigonometry � trigonometric identities Area Differentiation to find maximum area Differentiation � rates of change.

Equation of a line given two points on the line Perpendicular distance from a point to a line Finding the slope of a line given the angle it makes with the x-axis Angle between two lines. Finding the centre and radius of a circle Distance between two points Trigonometry Circles with centres on the axes Finding the equation of a circle given the radius and a point on the circle. Trigonometry � solving trigonometric equations Area of a sector Area of a triangle.

Conditional probability Independent events Probability of an outcome in a game. Algebra � undetermined coefficients Algebraic fractions. Factorising by grouping Substitution Differentiation. Trigonometric functions Trigonometric functions Differentiation of trigonometric functions Differentiation � show a function is increasing Differentiation � minimum point, point of inflection. Probability � independent events Probability.

Expressing a function as a perfect square Finding the minimum point of a function Roots of a function. Geometric progression Sum to finite geometric series Sum to infinity. Roots of a function Finding points of intersection of two functions using algebra Graphing a function. Sequences and series � geometric progression and common ratio Roots of a function Sum to infinity. Complex roots of a function Plotting complex numbers on the Argand diagram Trigonometry � finding an angle in a triangle.

Differentiation to find the slope of a tangent and the angle it makes with the x-axis Integration � average value. Simplifying complex numbers by multiplying by the conjugate Sum of a finite geometric series. Finding the roots of a function Finding local maximum and minimum points of a function Finding missing terms of a function. This website works best with JavaScript switched on. Please enable JavaScript.

This website uses cookies to improve your experience. Please either accept the cookies, or find out how to remove them. Accept cookies. More information. Students are expected to know the following formulae included in the subject content; they will not be given in the exam.

Refer to the Subject content section to determine the tier at which these formulae could be used. The solutions of , where. Where is the radius and is the diameter:. In any right-angled triangle where , and are lengths of the sides and is the hypotenuse:.

Traditional Boat Building Courses Uk Research Ncert Solutions Class 10th Exercise 7.4 Standard

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