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Maths10 > 10 > Flashcards

10 Flashcards

1
Q

If there is an equation 2/4 = x/8, what is the easiest way to solve it?

A

By cross multiplying.

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2
Q

Which part of the quadratic formula is the discriminant?

A
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3
Q

What is the integral of f(x) = 6x2 + 4x?

A

2x3 + 2x2

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4
Q

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

A

A = 4πr2

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5
Q

What type of graph is made by a quadratic equation?

A

Parabola

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6
Q

What is one fifth as a percentage?

A

20%

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7
Q

What is a surd?

A

A number that includes a square root, cube root, or other root.

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8
Q

What does perpendicular mean?

A

When 2 lines meet at a right angle.

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9
Q

What is the distance formula in coordinate geometry based upon?

A

Pythagoras’ theorem

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10
Q

What does parallel mean?

A

Two lines that will always be the same distance apart and will never meet.

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11
Q

What does y equal, if y - 4x + 2 = 0?

A

-2x - 1

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12
Q

What is this shape?

A

Hyperboloid on one sheet.

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13
Q

What is the quadratic formula?

A
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14
Q

What is two fifths as a decimal?

A

0.4

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15
Q

What is the formula for distance in coordinate geometry?

A
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16
Q

What is this shape?

A

Ellipsoid.

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17
Q

If you have a ratio, for example, 3:8 of 110, what is the first thing you work out?

A

Work out what one part is equal to.

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18
Q

What is this shape?

A

Hyperbolic paraboloid.

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19
Q

What is this shape?

A

Cone.

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20
Q

x + y = 24

x - y = 5

What is this an example of?

A

Simultaneous equation

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21
Q

What are the 2 main types of calculus?

A

Derivatives and integrals.

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22
Q

What is the formula for the volume of a prism?

A

Area of the front face times by the depth.

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23
Q

What is a quadrilateral?

A

Any four-sided shape.

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24
Q

What is the formula for the midpoint of a line?

A
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25
Q

What is the formula for simple interest?

A

Principle x time x rate.

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26
Q

What is the standard form of a quadratic equation?

A

f(x) = ax2 + bx + c

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27
Q

What is this shape?

A

Ellipse, or oval.

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28
Q

What happens if a number is to a negative power?

A

It turns into a fraction.

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29
Q

Can you divide a number by zero?

A

No, it is impossible.

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30
Q

How do you find the volume of a sphere?

A
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31
Q

What is circumference?

A

The perimeter of a circle.

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32
Q

Which line divides a parabola into two equal halves?

A

Axis of symmetry

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33
Q

What is the formula for the axis of symmetry of a quadratic equation?

A
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34
Q

How would you find the surface area of a cylinder?

A

Find the area of the top and bottom, then find the circumference times the height.

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35
Q

What is the formula for the area of a trapezium?

A

Average of top and bottom times height.

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36
Q

If a triangle has two sides and we need to find the third side, how do we solve it?

A

It depends. If it is a right angled triangle, we can use Pythagoras’ theorem. Otherwise, we can use the law of cosines.

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37
Q

What does a derivative find?

A

The rate of change at a point.

38
Q

What is this shape called?

A

Torus

39
Q

If we know one angle and ones side of a triangle, how do we find another side?

A

Using trigonometry.

40
Q

What is 0.66666 as a fraction?

A

2/3

41
Q

What are the 3 types of triangle?

A

Equilateral, isosceles, scalene.

42
Q

What is the derivative of f(x) = 2x2 + 3x?

A

4x + 3

43
Q

What is the difference between horizontal and vertical?

A

Horizontal goes across, vertical goes up and down.

44
Q

What happens if zero is divided by a number?

A

It equals zero.

45
Q

What does an integral find?

A

The area under a graph.

46
Q

What is the lowest or highest point on a parabola?

A

Vertex

47
Q

What is this type of formula? 1 - x2 = 0.

A

Quadratic equation.

48
Q

Why are they called quadratic equations?

A

The word ‘quad’ is a Latin word for ‘square’. A quadratic equation is a polynomial with a square.

49
Q

How many degrees does each angle have in an equilateral triangle?

A

60º

50
Q

x2 + y2 = radius2 is the equation for what?

A

A circle.

51
Q

What is this shape?

A

Cylinder with ellipse cross section.

52
Q

What is this shape?

A

Hyperboloid on 2 sheets.

53
Q

How do you find the surface area of a multivariable (3d) graph?

A

Double integrate it.

54
Q

How do you find the volume of a multivariable graph?

A

Triple integrate it.

55
Q

What is the formula for finding the gradient of a straight line?

A
56
Q

How many degrees are in a straight line?

A

180º

57
Q

What is (x + 4)(x - 4)?

A

x2 - 16

58
Q

What happens if a number is to the power of a fraction?

A

It becomes a root.

59
Q

What is the difference between the mean, median and mode?

A

Mean is the average, median is the middle value, mode is the most common.

60
Q

What is the formula for the area of a rectangle?

A

Length times width.

61
Q

What is the formula for the area of a triangle?

A

Base times height divided by 2.

62
Q

What is the numerical value of Pi?

A

3.1415926535, or 22/7

63
Q

What is a quarter as a decimal?

A

0.25

64
Q

What is this shape?

A

Elliptic paraboloid.

65
Q

What is the gradient of this line? f(x) = 7x + 4

A

7

66
Q

What is a hyperbola?

A

A curved line that has a mirror image.

67
Q

Which word helps us expand a quadratic equation?

A

FOIL

68
Q

What is 3/4 as a percentage?

A

75%

69
Q

What is the gradient of a line perpendicular to this line? f(x) = 2x + 8

A

-1/2

70
Q

What are these shapes called?

A

Prisms

71
Q

What is (x + 4)(x + 4)?

A

x2 + 8x + 16

72
Q

What is the formula for area of a circle?

A

Pi times radius squared.

73
Q

What is a google?

A

A number with 100 zeroes.

74
Q

What is a quadrilateral whose four sides all have the same length?

A

Rhombus.

75
Q

What is the formula for the area of a rhombus?

A

pq/2

76
Q

An improper fraction is always what?

A

Greater than one.

77
Q

What is the word, like tiles, where shapes fit together (usually squares, rectangles, or hexagons)?

A

Tesselated.

78
Q

What are patterns that have the same pattern repeated no matter how much you zoom into the pattern?

A

Fractals.

79
Q

What is the other name for a triangular pyramid?

A

Tetrahedron.

80
Q

Whose triangle is important for probability?

A

Pascal’s triangle.

81
Q

What is a 5 sided shape called?

A

Pentagon.

82
Q

What is a 6 sided shape called?

A

Hexagon.

83
Q

What is a 7 sided shape called?

A

Heptagon.

84
Q

What is an 8 sided shape called?

A

Octogon.

85
Q

What is a 9 sided shape called?

A

Nonogon.

86
Q

What is a 10 sided shape called?

A

Decagon.

87
Q

What is a 12 sided shape called?

A

Dodecagon.

88
Q

What is this shape called?

A

Geodesic dome.

89
Q

What is this shape called?

A

Dome.

90
Q

What is this shape called?

A

Kite or deltoid.

91
Q

What is the opposite of exponential growth?

A

Logarithmic growth.

Maths10 (15 decks)

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