MATH

Question 1

1 tonne

Answer 1

1000 kg

Question 2

1 litre

Answer 2

1000 cm cube

Question 3

1 m cube

Answer 3

1000 litres

Question 4

1 gram

Answer 4

1000 mgm

Question 5

1 year

Answer 5

52 weeks, 365.25 days

Question 6

simple interest

Answer 6

PRT/100

Question 7

compound interest

Answer 7

p(1+ r/100) t

Question 8

area of trapezium

Answer 8

( a + b / 2 )* h

Question 9

circle

Answer 9

area pirsquare perimeter 2pir

Question 10

semicircle

Answer 10

area * .5 perimeter : pi r + 2r

Question 11

sector area

Answer 11

pi r square x angle/360

Question 12

length of an arc

Answer 12

2pi r x angle/360 for perimeter just add 2r to that value.

Question 13

surface area of cylinder

Answer 13

2πrh+2πr2

Question 14

volume of a cylinder

Answer 14

pi r square x h

Question 15

area of parallelogram

Answer 15

bxh or ab x sin

Question 16

(a-b) square

Answer 16

a square - 2ab + b square

Question 17

a square + b square

Answer 17

(a+b) square - 2ab

Question 18

a square - b square

Answer 18

(a+b)(a-b)

Question 19

exponential increase

Answer 19

a(1+r) t

Question 20

exterior angles of polygon

Answer 20

add up to 360.

Question 21

sum of interior angles of a polygon

Answer 21

(n-2) x 180

Question 22

cosine rule (length of a side)

Answer 22

a2= b2+c2 -2bc cos A

Question 23

cosine rule angle

Answer 23

cos A = b2+c2- a2 /2bc

Question 24

when tan value is negative

Answer 24

subtract from 360 and 180

Question 25

quadratic sequences

Answer 25

multiply the second common ratio by 1/2 and then use simultaneous equations to find b and c. e.g is Ansquare+ bn + c
OR
for finding B
look at the first commin ratio and use the formula
3A + B = common ration
and for c use
a + b + c = first number
MARA JUST MAKE TABLE AND FIND VERTICAL PATTERN

Question 26

geometric sequence formula

Answer 26

this is for when the common ratio is being multipled instead of simple additition. the common ratio becomes the base of an exponent. and to find the power its n, and examine the pattern to see whether something needs to be added or subtracted from it.

Question 27

if sin value is negative..

Answer 27

add 180 and subtract 360

Question 28

positive tan value

Answer 28

original and add 180

Question 29

positive cos value

Answer 29

original value and subtract from 360

Question 30

simultaneous equation tip

Answer 30

• when you get a fractoion multiply the denominator by product and other vaiable only.

Question 31

when a question mentions “at the same time” after mentioning two different speeds on a race what methodology would we apply?

Answer 31

LCM

Question 32

when a line crosses the x axis, which value do we take as zero?

Answer 32

y value

and vice versa

Question 33

completing the square method

Answer 33

a equals x and it’s coefficient
b must be divided by two
c is outside of the square expression and is b square is subtracted from c

Question 34

how do we find stationary points of a graph

Answer 34

dx/dy = 0
first, differentiate and then make the equation equal zero and find two possinle values for x by factorization.
then input those two x values into the original equation without diff. to get y.

Question 35

how to tell of a stationary point is a local maximum or minimum?

Answer 35

take a second derivative.
input values of x you previously found when gradient was zero.
if its a negative result ; local maximum
and if its positive ; minimum

Question 36

how to find original price from given sale price?

Answer 36

subtract discount with 100 = x

divide sale price by x percent

Question 37

how to find value of r in compound interest with my calculator

Answer 37

1. divide by P
2. take square root
3. subtract and then multiply by 100

Question 38

which angle do we use when finding area of a non right triangle

Answer 38

the included angle

the angle which is made up of the two given lengths

Question 39

to find absolute value |x|

Answer 39

and the squares, x and y

and then take square root

Question 40

what are triangle numbers
sequence :
1/2n(n+1)

Answer 40

1,3,6,10

Question 41

how to find each interior angle

Answer 41

180(n-2) / n

Question 42

kinematics in trains

Answer 42

add length of train with distance of railway ti get total distance.

Question 43

how do we deal with time in upper bounds

Answer 43

we minimize it so subtract it!

Question 44

graphs. how do we find the point of intersection

Answer 44

input y of equation 1 into second equation. solve use simultaneous equations

Question 45

graphs. area enclosed

Answer 45

plot all the coordinates u found on a graph.

Question 46

area of non right traingle

Answer 46

1/2bhsinangle

Question 47

how do we implement the elimination method?

Answer 47

make sure terms you cancel are equal. ( u can multiply, only on one equation and choose either x or y. make sure they are polar. u can add minus as a common.