MATHS MIX!

Question 1

How do we know if the maths has some Expression?

Answer 1

No Equal sign for example: 8 - 5x

Question 2

How do we know if the maths has some Equations?

Answer 2

If you can solve it, its an Equation fe: 6x = 3x - 6

Question 3

How do we know if the maths is a Formula?

Answer 3

We Cant solve it: a + b = c

Question 4

How do we know if the maths is an Identity?

Answer 4

Triple equal sign ≡

Question 5

How do we know if the maths is an Inequality?

Answer 5

used when writing inequalities is: ≠, <, ≤, > or ≥, where:

Question 6

How would you solve this Quadratic Equation?
x² + 9x +20 = 0

Answer 6

9x = 4 + 5
20( y intercept ) = 4 x 5
(x + 4) (x + 5) = 0
Then solve both of them:
x + 4 = 0 x + 5 = 0
-4 ] -4 -5 ] -5
x = -4 x = -5

Question 7

How do you calculate the turning point of the graph?

Answer 7

Divide the number next to the y intercept by 2 and times it by -1 for example: Turning point -4.5
because number was 9x / 2 = 4.5
4.5 x -1 = -4.5

Question 8

How to solve the quadratic equations?

Answer 8

1. Make the equation = 0
2. Factorise (2 pairs of brackets)
3. Make each bracket = 0
4. Solve the two equations

Question 9

What is the Quadratic formula?

Answer 9

. -b +- √b² - 4ac
x = _________________
2a

Numara her zaman a, b, c diye gidicek mesela ax² + bx + c = 0
ona gore doldur.

Question 10

Volume (cm³) =

Answer 10

Length x Width x Height

Question 11

Whats the Surface Area?

Answer 11

The total area of all the faces

Question 12

What is the value of pi (π) approximately?

Answer 12

3.14

Question 13

What is the quadratic formula used to solve ax² + bx + c = 0?

Answer 13

x = (-b ± √(b² - 4ac)) / (2a)

Question 14

What is the formula for the area of a circle?

Answer 14

A = πr²

Question 15

What is the Pythagorean theorem?

Answer 15

a² + b² = c²

Question 16

What is the formula to calculate the circumference of a circle?

Answer 16

C = 2 x radius x pi

Question 17

What is the formula for the volume?

Answer 17

V = length × width × height

Question 18

What is the formula for the area of a triangle?

Answer 18

Area = base x height
. ______________
. 2

Question 19

Fill in the blank: The Pythagorean theorem states that a² + b² = ____.

Answer 19

c²

Question 20

What is the value of π (pi) to two decimal places?

Answer 20

3.14

Question 21

What is the formula for the circumference of a circle?

Answer 21

Circumference = 2πr

Question 22

How do you find the median?

Answer 22

Put in order, then find the middle one.

Question 23

Fill in the blank: The formula for the volume of a cylinder is V = ____.

Answer 23

πr²h

Question 24

Prime Numbers:

Answer 24

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Question 25

What is the mean of the set of numbers: 2, 4, 6, 8, 10?

Answer 25

6

Question 26

Fill in the blank: The area of a rectangle is calculated as length × ____.

Answer 26

width

Question 27

How to find the Mean?

Answer 27

Total / Freq.

Question 28

Mode?

Answer 28

The Most Common NNNumber

Question 29

Range?

Answer 29

Big - Small

Question 30

gf(3) which one do you do first and then what do you do?

Answer 30

First 3 goes in f then whatever that equals goes to g

Question 31

gf(x)

Answer 31

the f always goes into g, so always from right to left

Question 32

g(x) = x² + 2 And now find the inverse function of g which is g-1(x)

Answer 32

g-1(x) = x sq x² +2 = x² + 2 Now you do the INVERSE x - 2 √ = √x-2

Question 33

Investing 5000 at Compound interest for 2 year at 4%

Answer 33

1.04 x 1.04 x 5000 = 1.04to the power of 2 (squared) which is the number of the year x 5000

Question 34

Bob buys a new car for £7000. It depreciates by 2% each year for 3%. Find the value of the car after 3 years?

Answer 34

98% -> 0.98 to the power of 3 (cubed) x 7000

Question 35

A kittens weight increases from 3kg to 5kg calculate the percentage of the improvement

Answer 35

Change / Start x 100 / 1 2kg / 3kg x 100 / 1 = 66.6%