General memory for maths MCQ

Question 1

equation for binomial coefficient nCr + definition

Answer 1

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

Question 2

Sum of angles and single angle of a regular triangle

Answer 2

180, 60

Question 3

Sum of angles and single angle of a regular square

Answer 3

350, 90

Question 4

Sum of angles and single angle of a regular pentagon

Answer 4

540, 108

Question 5

Sum of angles and single angle of a regular hexagon

Answer 5

720, 120

Question 6

Sum of angles and single angle of a regular heptagon

Answer 6

900, 128.571

Question 7

Sum of angles and single angle of a regular octagon

Answer 7

1080, 135

Question 8

Sum of angles and single angle of a regular nonagon

Answer 8

1260, 140

Question 9

Sum of angles and single angle of a regular decagon

Answer 9

1440, 144

Question 10

exterior angle equation

Answer 10

360/n

Question 11

interior angle equation

Answer 11

180(n-2)

Question 12

area of a parallelogram

Answer 12

base x height

Question 13

features of a parallelogram

Answer 13

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

Question 14

features of a rhombus

Answer 14

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

Question 15

area of a trapezium and angle features

Answer 15

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

Question 16

features of a kite

Answer 16

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.

Question 17

Area of a kite

Answer 17

(diagonal x diagonal)/2

Question 18

define congruence

Answer 18

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

Question 19

What are the conditions of congruence

Answer 19

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

Question 20

What are similar triangles

Answer 20

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

Question 21

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

Answer 21

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,

Question 22

angle between radius and tangent

Answer 22

90 degrees

Question 23

circumference and area of a circle

Answer 23

πr^2 and 2πr // πd

Question 24

opposite angles in a cyclic quadrilateral

Answer 24

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

Question 25

the angle subtended by two points to the centre is

Answer 25

twice the angle subtended by those 2 points at the circumference

Question 26

Alternate segment theorem

Answer 26

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

Question 27

angle in a triangle semicircle

Answer 27

90 degrees when the hypotenuse is the diameter

Question 28

volume and surface area of a cube

Answer 28

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

Question 29

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

Answer 29

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

Question 30

volume of a right angles prism

Answer 30

area of face x length

Question 31

volume of right angles circular cylinder

Answer 31

πr^2 x height, SA = 2πr^2 + 2πrl

Question 32

Area of a triangle

Answer 32

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

Question 33

volume and surface area of a sphere

Answer 33

volume 4/3πr^3 and SA 4πr^2

Question 34

pyramids and cones volume

Answer 34

1/3 x base x perpendicular height

Question 35

arc length

Answer 35

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

Question 36

convert radians to degrees

Answer 36

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

Question 37

area of a sector

Answer 37

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

Question 38

sin 30

Answer 38

1/2

Question 39

sin 60

Answer 39

root3/2

Question 40

sin 45

Answer 40

root2/2

Question 41

cos 30

Answer 41

root3/2

Question 42

cos 60

Answer 42

1/2

Question 43

cos 45

Answer 43

root2/2

Question 44

tan 1/2

Answer 44

root3/3

Question 45

tan 60

Answer 45

root3

Question 46

tan 45

Answer 46

1

Question 47

cos 90

Answer 47

0

Question 48

sin 90

Answer 48

1

Question 49

tan 90

Answer 49

undefined

Question 50

sin 0

Answer 50

0

Question 51

cos 0

Answer 51

1

Question 52

tan 0

Answer 52

0