- Study guides, Class notes & Summaries

A-Level Mathematics Edexcel Questions With Complete Answers

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37 pages

Written in 2024/2025

Grade A+

CLASSROOMTEST

A-Level Mathematics Statistics Definitions (Edexcel) Questions With Complete Answers

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14 pages

Written in 2024/2025

Grade A+

CLASSROOMTEST

How does a repeated root look like for the discriminant? - Answer How does two distinct real roots look like for the discriminant? - Answer How does no real roots look like for the discriminant? - Answer What does y = af(x) mean? - Answer Stretch with scale factor a in the y direction What does y = f(ax) mean? - Answer Stretch with scale factor 1/a in the x direction What does y = f(x) +a mean? - Answer Translation +a in the y direction What does y = f(x +a...

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3 pages

Written in 2024/2025

Grade A+

TestSolver9

when is a curve convex - Answer gradient is decreasing (second derivative < 0 ) when is a curve concave - Answer gradient is increasing ( second derivative > 0 ) cosine rule - Answer a² = b² + c² - 2bcCosA area of triangle - Answer A=1/2absinC trig identity relating tanx and secx - Answer 1 + tan^2x = sec^2x trig identity relating cosecx and cotx - Answer 1 + cot^2x = cosec^2x arc length - Answer theta r arc area - Answer 1/2 theta r^2 f(|...

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2 pages

Written in 2024/2025

Grade A+

TestSolver9

- Sn = n/2 (2a + (n-1)d) - Sn = n/2 (a + l) where a is the first term and l is the last term - Answer formula of an arithmetic series the sum of the terms of an arithmetic sequence - Answer what is an arithmetic series - Un = a + (n-1)d - a = the first term - d = the common difference - Answer nth term of an arithmetic sequence - Un = ar^(n-1) - a = first term - r = common ratio - Answer nth term of a geometric sequence - Sn = a(1-r^n) / 1-r - Sn = a(r^n - 1) / r-1 ...

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28 pages

Written in 2024/2025

Grade A+

TestSolver9

What does 1/x inegrate to? - Answer ln(|x|) + C How does you integrate ∫x^n dx? - Answer x^(n+1)/ (n+1) + C An increasing function is that which has a positive.... - Answer Gradient dy/dx>0 A decreasing function is that which has a negative... - Answer Gradient dy/dx<0 What does e^kx integrate to? - Answer (1/k)e^x + C What does e^x integrate to? - Answer e^x + C What does ∫1/(ax+b) dx inegrate to? - Answer (1/a)ln|ax+b| +C Wha does ∫f'(...

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4 pages

Written in 2024/2025

Grade A+

TestSolver9

Population - Answer The whole set of items that are of interest Census - Answer Observes or measures every member of a population Sample - Answer A selection of observations taken from a subset of the population which is used to find out information about the population as a whole Census - Adv & Disadv - Answer Adv - Completely accurate Disadv - Time consuming & expensive - Cannot be used when the testing process destroys the item - Hard to process large quantity of d...

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9 pages

Written in 2024/2025

Grade A+

TestSolver9

if two lines are perpendicular, what must their gradients equal to when multiplied together? - Answer -1 What is the equation to calculate the gradient of a line? - Answer y₂-y₁/x₂-x₁ What is the equation to calculate the length of a line? - Answer √(y₂−y₁)^2 + (x₂-x₁)^2 What is the equation to calculate the midpoint of a line? - Answer (x₂+x₁) over 2 , (y₂+y₁) over 2 What is the equation of a circle? - Answer x²+y²=r² How do you find ...

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5 pages

Written in 2024/2025

Grade A+

TestSolver9

1 + tan2θ - Answer = sec2θ cot2θ + 1 = cosec2θ - Answer = cosec2θ Sin2θ - Answer 2sinθcosθ Cos2θ - Answer cos²θ-sin²θ 2cos²θ-1 1-2sin²θ Tan2θ - Answer 2tanθ / (1 - tan²θ) How do you write a rational number in a proof? - Answer a/b What does y=|f(x)| do? - Answer Reflects values below the x-axis in the x-axis What does y=f(|x|) do? - Answer Reflects values of x≥0 in the y-axis Arithmetic sequence formula - Answer a₁+(n-...

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3 pages

Written in 2024/2025

Grade A+

TestSolver9

Form of complex numbers - Answer a + bi Real and imaginary parts of z = a + bi - Answer Re(z) = a, Im(z) = b When two complex numbers are equal, what is true - Answer Their real parts are equal and their imaginary parts are equal i² - Answer -1 i³ - Answer -i i⁴ - Answer 1 Determinant for two real roots (distinct roots) - Answer b² - 4ac > 0 Determinant for one real root (repeated roots) - Answer b² - 4ac = 0 Determinant for no real roots ...

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5 pages

Written in 2024/2025

Grade A+

TestSolver9

Population - Answer The whole set of items that are of interest Census - Answer Observes or measures every member of a population Sample - Answer Selection of observations taken from a subset of the population Sampling unit - Answer An individual item of a population Sampling frame - Answer A unique numbering or naming of sampling units to form a list Simple random sample - Answer Random sampling technique in which every member of the population has an equal chan...

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4 pages

Written in 2024/2025

Grade A+

TestSolver9

For example, what does 5! mean? - answer-5x4x3x2x1 How do calculate the stationary points of a line? - answer-dy/dx of the equation. Make this equal to 0 and find the values of x How do you change the factors of a graph that has been translated by f(x+a)? - answer-If it was translated by moving to the right by 3, you would add 3 to each factor bracket. e.g (x+3) would change to (x+6) How do you decide whether the stationary points are minimum points, maximum points or points of inflexio...

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3 pages

Written in 2024/2025

Grade A+

TOPDOCTOR

A Level Maths questions with answers

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20 pages

Written in 2024/2025

Grade A+

EXAMSTUDYPLUG

A Level Maths Exam: Proof New Questions 2025 with 100% Correct Answers | Verified | Latest Update | 100% Pass

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7 pages

Written in 2024/2025

Grade A+

Preach

A level Maths New Questions 2025 with 100% Correct Answers | Verified | Latest Update | 100% Pass

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9 pages

Written in 2024/2025

Grade A+

Preach

A level Maths Question And Answer test Quality Document latest Update

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8 pages

Written in 2024/2025

Grade A+

Testbankprofessor

A level maths formulae Questions with 100% Correct Answers| Verified | Latest Update 2024 arithmetic sequence geometric sequence sum of arithmetic sequence 1 n/2(2a + (n-1)d) sum of arithmetic sequence 2 n/2(a + l) (l= last term) sum of geometric sequence sum to infinity

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11 pages

Written in 2023/2024

Grade A+

yalegrades

A level Maths New Questions 2024 with 100% Correct Answers | Verified | Latest Update | 100% Pass if two lines are perpendicular, what must their gradients equal to when multiplied together? -1 What is the equation to calculate the gradient of a line? y₂-y₁/x₂-x₁ What is the equation to calculate the length of a line? √(y₂−y₁)^2 + (x₂-x₁)^2 What is the equation to calculate the midpoint of a line? (x₂+x₁) over 2 , (y₂+y₁) over 2 What is the equation of a circl...

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9 pages

Written in 2023/2024

Grade A+

yalegrades

A Level Maths Exam: Proof New Questions 2024 with 100% Correct Answers | Verified | Latest Update | 100% Pass What does the following notation mean? {x:_______} The set of values for x such that ... What does the symbol → mean? x __ implies ____ or if...then.... What does the symbol ← mean? x____is implies by ____ What does the symbol ↔ mean? p implies q and q implies p or p ____ if and only if (iff)

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7 pages

Written in 2023/2024

Grade A+

yalegrades

Aqa As Mathematics Paper 1 Question Paper And Mark Scheme May 2023

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2 items

Educes