Higher Test

Question 1

Surds rules

Answer 1

Surd a x surd b =surd ab
Surd a / surd b = surd a/b
Surd a x surd a =a
Surd a + surd a = 2 surd a

Question 2

Area of square/ rectangle

Answer 2

Width x length

Question 3

Area of triangle

Answer 3

Base x height /2

Question 4

Area of curcle

Answer 4

Pi x radius squared

Question 5

Area of trapezium

Answer 5

1/2 (a +b) x height
(A and b are the 2 parallel lines)

Question 6

Perimeter

Answer 6

Add up all the sides

Question 7

Fraction rules

Answer 7

Multiply= times across
Division=KFC (keep flip change) (x)
Addition=same denominator
Subtraction=same denominator

Question 8

Index notation (rules)

Answer 8

N to power of a X N to power of b = N (a+b)
N to power of a / N to power of b = N(a-b)
(N to power of a)b = N (aXb)

Question 9

Percentage chnage

Answer 9

Change/ original x 100

Question 10

Hcf of 2 numbers

Answer 10

Prime factor trees. Venn diagram. Times whatever numbers are in overlap

Question 11

Recurring decimals to fractions

Answer 11

EG. Let x= 4.9 (r)
X10. X10
10x=49.9999
Numbers after dp are exact same
10x-x=9x. 49.9999-4.9999= 45
9x=45 /9 x=5/1

Question 12

Directly portional equation

Answer 12

Y=kx

(K is constant)
(Use when 2 things have a correlation and effect eachother)
(Eg amount of cat food left out and number of cats came)

Question 13

Inversely proportional equation

Answer 13

Y=k/x

(K is constant)
(Use when the 2 things have no correlation and dont effect eachother)
(Eg. Number of people and number of crows)

Question 14

Perimeter of circle

Answer 14

Pi x diameter OR 2 x pi x radius

(Pi is 3.14)
(Perimeter is same as circumference