Formulae for both foundation and higher Flashcards

1
Q

What is the formula for density?

A

Density = Mass ÷ Volume

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2
Q

How is speed calculated?

A

Speed = Distance ÷ Time

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3
Q

What is the formula for pressure?

A

Pressure = Force ÷ Area

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4
Q

How do you find the area of a square/rectangle?

A

Length x Width

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5
Q

How do you work out the area of a parallelogram?

A

Base x Height

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6
Q

What is the formula to find out the area of a trapezium?

A

1/2 x (Top + Base) x Height

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7
Q

How do you find the area of a triangle?

A

1/2 x Base x Height

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8
Q

How do you work out the circumference of a circle?

A

π x Diameter

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9
Q

How do you find the area of a circle?

A

π x (Radius)²

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10
Q

What does the quadratic formula look like?

A

x = (-b±√(b²-4ac)) ÷ (2a)

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11
Q

What is the standard form of the quadratic equation?

A

ax² + bx + c = 0 where a ≠ 0 (a is NOT 0)

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12
Q

How do you find the volume of a cube/cuboid?

A

Length x Width x Height

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13
Q

What is the formula to find out the area of a prism?

A

Area of cross section x Length

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14
Q

How you find out the area of a cylinder?

A

π x (Radius)² x Height

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15
Q

How do you work out the volume of a pyramid?

A

1/3 x Area of base x Height

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16
Q

What does Pythagoras theorem look like?

A

c² = a² + b² (where c is the hypotenuse, a and b are the other sides)

17
Q

What are the trigonometric ratios?

A
Sin = Opposite ÷ Hypotenuse 
Cos = Adjacent ÷ Hypotenuse
Tan = Opposite ÷ Adjacent
18
Q

What is the sine rule to find the length?

A

(a ÷ Sin A) = (b ÷ Sin B) = (c ÷ Sin C)

19
Q

What is the sine rule to find the angle?

A

(Sin A÷ a) = (Sin B ÷ b) = (Sin C ÷ c)

20
Q

What is the cosine rule to find length a?

A

a² = (b² + c² -2bc) x (Cos A)

21
Q

What is the cosine rule to find length b?

A

b² = (a² + c² - 2ac) x (Cos B)

22
Q

What is the cosine rule to find length c?

A

c² = (a² + b² -2ab) x (Cos C)

23
Q

What is the cosine rule to find angle A?

A

Cos A = (b² + c² - a²) ÷ (2bc)

24
Q

What is the cosine rule to find angle B?

A

Cos B = (c² + a² - b²) ÷ (2ca)

25
Q

What is the cosine rule to find angle C?

A

Cos C = (a² + b² - c²) ÷ (2ab)

26
Q

In trigonometry, what do the small case and capital case letters present?

A

Small case letters present the sides whereas the capital case letters present the angles

27
Q

What is the formula to find the area of a triangle when angle A is given?

A

1/2bc x Sin A

28
Q

What is the formula to find the area of a triangle when angle B is given?

A

1/2ca x Sin B

29
Q

What is the formula to find the area of a triangle when angle C is given?

A

1/2ab x Sin C