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Edexcel A Level Maths Pure QUESTIONS AND ANSWERS 100 VERIFIED A GUARANTEED

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Edexcel A Level Maths - Pure QUESTIONS AND ANSWERS 100% VERIFIED A+ GUARANTEED Cosine Rule - Know 2 sides, and the angle in between. You want the missing side. Cosine Rule - Know 3 sides. You want an angle. Sine Rule - Know 2 angles and a side. You want the missing side. Sine Rule - Know 2 side...

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Uploaded on February 29, 2024
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Contains Questions & answers

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Edexcel A Level Maths - Pure QUESTIONS AND
ANSWERS 100% VERIFIED A+ GUARANTEED

1). Cosine rule - know 2 sides, and the angle in between. you want the missing side.

 Ans: a² = b² + c² - 2bcCosA

2). Cosine rule - know 3 sides. you want an angle.

 Ans: Cos A = (b² + c² - a²) ÷ 2bc

3). Sine rule - know 2 angles and a side. you want the missing side.

 Ans: (a ÷ SinA) = (b ÷ SinB) = (c ÷ SinC)

4). Sine rule - know 2 sides and an angle. you want a missing angle.

 Ans: (Sin A ÷ a) = (Sin B ÷ b) = (Sin C ÷ c)

5). Midpoint of a line segment on a circle.

 Ans: ( (x₁ + x₂) ÷ 2 ) , ( (y₁ + y₂) ÷ 2 )

6). Equation of a circle with centre (0,0)

 Ans: x² + y² = r²

7). Equation of a circle with centre (a,b)

 Ans: (x - a)² + (y - b)² = r²

8). Arithmetic nth term

 Ans: uₙ = a + (n-1)d

9). Arithmetic series

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,  Ans: Sₙ = n/2 (2a + (n-1)d)

10). Geometric nth term

 Ans: uₙ = ar^(n-1)

11). Geometric series

 Ans: Sₙ = a(1-rⁿ) ÷ (1-r)

12). Equation of a straight line

 Ans: y - y₁ = m(x - x₁)

13). Distance between two points

 Ans: d = √(x₂ - x₁)² + (y₂ - y₁)²

14). Vectors:
distance from origin to (x, y, z)

 Ans: √(x² + y² + z²)

15). Vectors:
distance between (x₁, y₁, z₁) and (x₂, y₂, z₂)

 Ans: √(x₁ - x₂)² + (y₁ - y₂)² + (z₁ - z₂)²

16). Angle between vector and axis for a vector a:
xi + yj + zk

 Ans: x axis : cosθ = (x ÷ |a|)

y axis : cosθ = (y ÷ |a|)

z axis : cosθ = (z ÷ |a|)

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Exam (elaborations)

Edexcel A Level Maths Pure QUESTIONS AND ANSWERS 100 VERIFIED A GUARANTEED

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