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chemistry nsaa > General memory for maths MCQ > Flashcards

General memory for maths MCQ Flashcards

1
Q

equation for binomial coefficient nCr + definition

A

n!/r!(n-r)! the number of ways of choosing r objects from n objects

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2
Q

Sum of angles and single angle of a regular triangle

A

180, 60

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3
Q

Sum of angles and single angle of a regular square

A

350, 90

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4
Q

Sum of angles and single angle of a regular pentagon

A

540, 108

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5
Q

Sum of angles and single angle of a regular hexagon

A

720, 120

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6
Q

Sum of angles and single angle of a regular heptagon

A

900, 128.571

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7
Q

Sum of angles and single angle of a regular octagon

A

1080, 135

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8
Q

Sum of angles and single angle of a regular nonagon

A

1260, 140

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9
Q

Sum of angles and single angle of a regular decagon

A

1440, 144

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10
Q

exterior angle equation

A

360/n

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11
Q

interior angle equation

A

180(n-2)

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12
Q

area of a parallelogram

A

base x height

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13
Q

features of a parallelogram

A

opposite angles are equal, angles next to each other add up to 180 degrees, the diagonals bisect the angles, diagonals bisect into 2 congruent triangles

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14
Q

features of a rhombus

A

the diagonals are perpendicular, opposite angles are equal, angles adjacent add up to 180 degrees, diagonals bisect the angles and also the rhombus into 2 isosceles triangles/4 congruent right angled triangles

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15
Q

area of a trapezium and angle features

A

0.5(sum of parallel sides) x height - the interior angles of the parallel sides sum to 180 degrees

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16
Q

features of a kite

A

diagonals meet at 90 degrees, 2 sides of the same length, the angle made at the point 2 different length sides are made is equal to the opposite side.

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17
Q

Area of a kite

A

(diagonal x diagonal)/2

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18
Q

define congruence

A

2 shapes are congruent is they are exactly the same. I.e same shape and size, or if one has the same shape and size as the mirror image of the other

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19
Q

What are the conditions of congruence

A

FOUR CONDITIONS: SSS, SAS, ASA and RHS (right angle, hypotenuse, side) - have to occur next to each other

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20
Q

What are similar triangles

A

Similar triangles have the same size angles (congruent angles) and corresponding SIDES in PROPORTION.

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21
Q

what are sectors, segments and arcs (minor vs. major)

A

a sector is pizza, a segment is a straight slice and an arc is from one point on the perimeter to another. Longer/larger is the major shorter/smaller is the minor,

22
Q

angle between radius and tangent

A

90 degrees

23
Q

circumference and area of a circle

A

πr^2 and 2πr // πd

24
Q

opposite angles in a cyclic quadrilateral

A

add to 180 degrees, the exterior angle of one of these angles is equal to the opposite angle in the cyclic quadrilateral

25
Q

the angle subtended by two points to the centre is

A

twice the angle subtended by those 2 points at the circumference

26
Q

Alternate segment theorem

A

the angle between a chord and a tangent through on the end points is equal to the angle in alternate segment

27
Q

angle in a triangle semicircle

A

90 degrees when the hypotenuse is the diameter

28
Q

volume and surface area of a cube

A

volume is a^3 and surface area is 6a^2

29
Q

volume and surface area of a cuboid dimensions x, y, and z

A

volume = xyz, SA = 2(xy+xz+yz)

30
Q

volume of a right angles prism

A

area of face x length

31
Q

volume of right angles circular cylinder

A

πr^2 x height, SA = 2πr^2 + 2πrl

32
Q

Area of a triangle

A

1/2absinC // 1/2base x height where height is perpendicular to height

33
Q

volume and surface area of a sphere

A

volume 4/3πr^3 and SA 4πr^2

34
Q

pyramids and cones volume

A

1/3 x base x perpendicular height

35
Q

arc length

A

r x theta when theta is in radians, otherwise π(r)theta/180

36
Q

convert radians to degrees

A

Radians to degrees x180/π … Degreens to radians xπ/180

37
Q

area of a sector

A

Degrees: πr^2 x theta/360 … Radians: 1/2r^2 theta

38
Q

sin 30

A

1/2

39
Q

sin 60

A

root3/2

40
Q

sin 45

A

root2/2

41
Q

cos 30

A

root3/2

42
Q

cos 60

A

1/2

43
Q

cos 45

A

root2/2

44
Q

tan 1/2

A

root3/3

45
Q

tan 60

A

root3

46
Q

tan 45

A

1

47
Q

cos 90

A

0

48
Q

sin 90

A

1

49
Q

tan 90

A

undefined

50
Q

sin 0

A

0

51
Q

cos 0

A

1

52
Q

tan 0

A

0

chemistry nsaa (3 decks)

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