Eqautions Flashcards

(30 cards)

1
Q

What is the formula for the area of a rectangle?

A

Area = b x h

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2
Q

What is the formula for the area of a sector?

A

Sector Area = (θ/360) x π r²

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3
Q

What is the formula for the volume of a cuboid?

A

V = l x b x h

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4
Q

What is the formula for the surface area of a cylinder?

A

Curved surface area = 2πrh

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5
Q

What is the formula for the circumference of a circle?

A

Circumference = π d

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6
Q

What is the relationship defined by the discriminant in quadratic equations?

A

b² - 4ac

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7
Q

What does b² - 4ac > 0 indicate?

A

Two real and distinct roots

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8
Q

What does b² - 4ac = 0 indicate?

A

Real and equal roots

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9
Q

What does b² - 4ac < 0 indicate?

A

No real roots

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10
Q

What is the sum of angles in any triangle?

A

Always 180°

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11
Q

What is the sum of angles in any quadrilateral?

A

Always 360°

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12
Q

Complementary angles add up to _______.

A

90°

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13
Q

Supplementary angles add up to _______.

A

180°

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14
Q

Vertically opposite angles are _______.

A

Always equal

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15
Q

Corresponding angles (F shape) are _______.

A

Always equal

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16
Q

Alternate angles (Z shape) are _______.

17
Q

What is the formula for the volume of a prism?

18
Q

What is the formula for the volume of a cylinder?

19
Q

What is the area scale factor for similar shapes?

A

(length scale factor)²

20
Q

What is the volume scale factor for similar shapes?

A

(length scale factor)³

21
Q

What is the highest common factor?

A

The largest number that divides two or more numbers without leaving a remainder

22
Q

What is the Pythagorean theorem?

A

a² + b² = c²

23
Q

What is the turning point in a quadratic function?

24
Q

What is the gradient in a linear equation?

A

The slope of the line

25
What is the formula for the area of a triangle?
Area = (1/2) x base x height
26
What is the area of a trapezium?
Area = (1/2) x (a + b) x h
27
What is the area of a kite or rhombus?
Area = (d1 x d2) / 2
28
What is the formula for the area of a circle?
Area = π r²
29
What does the term 'completing the square' refer to?
A method used to solve quadratic equations
30
What is the formula for the arc length of a circle?
Arc Length = (θ/360) x 2πr