GCSE Mathematics – Aiming for an A or Better Grade Criteria and exemplar examination questions to get a Grade A or A* in the following topics: 1. Surds 2. Recurring Decimals 3. Limits of Accuracy 4. Indices 5. Proportionality 6. Rearranging Formulae 7. Algebraic Fractions 8. Using Graphs 9. Quadratic Equations 10. Simultaneous Equations 11. Algebraic Proofs 12. Circle Theorems 13. Trigonometry – for triangles which are not right-angled 14. Vectors
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Formulas (to differential equations) Math. A3‚ Midterm Test I. sin2 x + cos2 x = 1 sin(x ± y) = sin x cos y ± cos x sin y tan(x ± y) = tan x±tan y 1∓tan x·tan y differentiation rules: (cu) = cu ′ ′ ′ ′ ′ (c is constant) cos(x ± y) = cos x cos y ∓ sin x sin y (u + v) = u + v (uv)′ = u′ v + uv ′ ′ ′ u ′ = u v−uv v v2 df dg d dx f (g(x)) = dg dx sin 2x = 2 sin x cos x tan 2x = sin x = 2 cos 2x = cos2 x − sin2 x 2 tan x 1−tan2 x 1−cos 2x ‚ 2 integration rules: cos x = 2
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MATHEMATICS POST-TEST APRIL 2010 Multiple Choices: 1. What is the average of A‚ B‚ C? a. ABC/3 c. 3(A+B+C)/.3 b. (A+B+C)/3 d. ABC/A+B+C 2. Which of the following has the LEAST Numerical value? a. 11/12 b. 6/8 c. 5/7 d. ¾ 3. If 2 apples cost P25.00‚ how many apples can be purchased for P100.00? a. 8 aplles c. 2 dozens b. ½ dozen d. 1 ½ dozens 4. If 2 tablespoons= 1 liquid oz.‚ and 5 tablespoons = ¼ cup‚ then‚ how many liquid ounces are there in one cup? a
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MATH OF INVESTMENT (FORMULAS AND SAMPLE PROBLEMS) SIMPLE INTEREST: a) I= Prt b) F= P+ I c) I= F- P d) F= P (1 + rt) e) P= F / 1+ rt f) R= I / Pt g) P= I / rt h) t= I / Pr i) EXACT INTEREST: j) k) Ie= Pr approximate time Ie= Pr exact time l) 365 days 360 days m) n) ORDINARY INTEREST o) p) Io= Pr exact time Io= Pr approximate time q)
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Taras Malsky MT.1102 AB Dr.S.Washburn Egyptian Math The use of organized mathematics in Egypt has been dated back to the third millennium BC. Egyptian mathematics was dominated by arithmetic‚ with an emphasis on measurement and calculation in geometry. With their vast knowledge of geometry‚ they were able to correctly calculate the areas of triangles‚ rectangles‚ and trapezoids and the volumes of figures such as bricks‚ cylinders‚ and pyramids. They were also able to build the Great Pyramid
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WHY PROBLEM SOLVING? • Problem solving is the most basic of mathematical skills- the reason for studying mathematics • Problem solving is an integral part of the larger area of critical thinking‚ which is universally accepted goal for all education • Problem solving shows an interaction between mathematical ideas • In the classroom can lessen the gap between real world problem and the classroom worlds and thus set more positive mood in the classroom. WHAT IS PROBLEM? The
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Gauss-Jordan Elimination A method of solving a linear system of equations. This is done by transforming the system’s augmented matrix into reduced row-echelon form by means of row operations. Gaussian Elimination A method of solving a linear system of equations. This is done by transforming the system’s augmented matrix into row-echelon form by means of row operations. Then the system is solved by back-substitution. Palestine: History Introduction Palestine stands alone among the Roman
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Content Solving A Motivation Problem Page (1) Nature Of CNC Company’s Contract 2 (2) Nature Of The Job 2 (3) Motivation Problem 3 (4) Application Of Motivation Theories 3 (5) Possible Achievement 4 (6) Conclusion 4 ------------------------------------------------- Solving A Motivation Problem (1) Nature Of CNC Company ’s Contract I am working at the
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Systematic Problem Solving/Problem Finding Strategies to Improve Customer Satisfaction and Efficiency Problem-solving is a psychological process that involves discovering‚ analysing and solving problems. The eventual goal of problem-solving is to overcome hurdles and find a solution that resolves the issue. Problem solving strategies are common in place of business. That’s why entrepreneurs are called problem solvers. When they solve a problem a new value is created and it also enhances customer
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INTERNATIONAL BACCALAURÉAT BACHILLERATO c BACCALAUREATE INTERNATIONAL INTERNACIONAL M02/540/S(1)M+ MARKSCHEME May 2002 FURTHER MATHEMATICS Standard Level Paper 1 9 pages –3– M02/540/S(1)M+ Paper 1 Markscheme Instructions to Examiners 1 Method of marking (a) (b) All marking must be done using a red pen. Marks should be noted on candidates’ scripts as in the markscheme: ! show the breakdown of individual marks using the abbreviations (M1)‚ (A2) etc. ! write down each part mark total‚ indicated
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