Tristan Maths

Question 1

How do we calculate simple interest?

Answer 1

Add the interest rate to the original amount each year. Amount = Original amount x (1 + Interest rate x Number of years)

Question 2

How do we calculate compound interest?

Answer 2

Amount = Original amount x (1 + Interest rate) ^ (Number of years)

Question 3

Simple interest=5%We start with £150, What do we have after 2 years?

Answer 3

Original amount= £150Interest rate= 1+0.05Number of years= 2 150x1.05x2= £165

Question 4

Compound interest of 5% for 2 years on £150

Answer 4

£150 x (1.05)^2 = £165.38

Question 5

Write 1/2 as a decimal and as a percentage.

Answer 5

Decimal: 0.5Percentage: 50%

Question 6

Write 25% as a decimal and a fraction.

Answer 6

Decimal: 0.25Fraction:1/4

Question 7

Write 0.2 as a percentage and a fraction.

Answer 7

Fraction: 1/5Percentage: 20%

Question 8

Write 1/3 as a decimal and a percentage.

Answer 8

Decimal: 0.3Percentage: 33.3%

Question 9

Write 1/8 as a decimal and a percentage.

Answer 9

Decimal: 0.125Percentage: 12.5%

Question 10

Write 0.1 as a fraction and a percentage.

Answer 10

Fraction: 1/10Percentage: 10%

Question 11

Write 16.6% as a decimal and a fraction.

Answer 11

Fraction: 1/6Decimal: 0.16

Question 12

Write 66.66% as a decimal and a fraction.

Answer 12

Fraction: 2/3Decimal: 0.6

Question 13

1²

Answer 13

1 x 1 = 1

Question 14

2²

Answer 14

2 x 2 = 4

Question 15

3²

Answer 15

3 x 3 = 9

Question 16

4²

Answer 16

4 x 4 = 16

Question 17

5²

Answer 17

5 x 5 = 25

Question 18

6²

Answer 18

6 x 6 = 36

Question 19

7²

Answer 19

7 x 7 = 49

Question 20

8²

Answer 20

8 x 8 = 64

Question 21

9²

Answer 21

9 x 9 = 81

Question 22

10²

Answer 22

10 x 10 = 100

Question 23

12²

Answer 23

12 x 12 = 144

Question 24

11²

Answer 24

11 x 11 = 121

Question 25

13²

Answer 25

13 x 13 = 169

Question 26

14²

Answer 26

14 x 14 = 196

Question 27

15²

Answer 27

15 x 15 = 225

Question 28

1³

Answer 28

1 x 1 x 1 = 1

Question 29

2³

Answer 29

2 x 2 x 2 = 8

Question 30

3³

Answer 30

3 x 3 x 3 = 27

Question 31

4³

Answer 31

4 x 4 x 4 = 64

Question 32

5³

Answer 32

5 x 5 x 5 = 125

Question 33

6³

Answer 33

6 x 6 x 6 = 216

Question 34

7³

Answer 34

7 x 7 x 7 = 343

Question 35

8³

Answer 35

8 x 8 x 8 = 512

Question 36

9³

Answer 36

9 x 9 x 9 = 729

Question 37

10³

Answer 37

10 x 10 x 10 = 1000

Question 38

12³

Answer 38

12 x 12 x 12 = 1728

Question 39

What is the longest side of the right angle triangle called?

Answer 39

Hypotenuse.

Question 40

How do you know which side is the hypotenuse (longest side of the right angle triangle)?

Answer 40

It is always opposite the right angle.

Question 41

What does Pythagoras' theorem state?

Answer 41

It states that for all right angled triangles, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

Question 42

What is the Pythagoras theorem formula?

Answer 42

a² + b² = c²

Question 43

Surface area of a cube

Answer 43

6a²

Question 44

Surface area of a cuboid

Answer 44

2(lh+ lw + hw)

Question 45

Surface area of a cone

Answer 45

Pie r(l+r)

Question 46

Surface area of a cylinder

Answer 46

2 x pie x r(r+h)

Question 47

Surface area of a sphere

Answer 47

4pier²

Question 48

Surface area of a hemisphere

Answer 48

3pier²

Question 49

Volume of a cube

Answer 49

L³

Question 50

Volume of a cuboid

Answer 50

Lwh

Question 51

Volume of a prism

Answer 51

Bh

Question 52

Volume of a cylinder

Answer 52

Pier²h

Question 53

Volume of a cone

Answer 53

1/3pier²h

Question 54

Volume of a pyramid

Answer 54

1/3 base x height

Question 55

Volume of a sphere

Answer 55

4/3pieR³

Question 56

Area of a triangle

Answer 56

Base x height / 2

Question 57

Area of a parallelogram

Answer 57

Bxh

Question 58

Area of a rhombus

Answer 58

Bxh

Question 59

Area of a rectangle

Answer 59

Lxw

Question 60

Area of a square

Answer 60

Lxl

Question 61

Area of a circle

Answer 61

Pier²

Question 62

Circumference of a circle

Answer 62

Pied

Question 63

What do you do when dividing integrals (to the power of)

Answer 63

Subtract them.

Question 64

In SOHCAHTOA, what does S stand for?

Answer 64

Sin

Question 65

In SOHCAHTOA, what does C stand for?

Answer 65

Cos

Question 66

In SOHCAHTOA, what does T stand for?

Answer 66

Tan

Question 67

In SOHCAHTOA, what does O stand for?

Answer 67

Opposite

Question 68

In SOHCAHTOA, what does A stand for?

Answer 68

Adjacent

Question 69

In SOHCAHTOA, what does H stand for?

Answer 69

Hypotenuse

Question 70

How do we find the mode?

Answer 70

Order the numbers from lowest to highest and see which number appears the most.

Question 71

How do we find the mean?

Answer 71

Add all the numbers together and then divide by the amount of numbers. Eg. 1 + 7 + 5 + 4 = 17 17/ 4 = 4.25

Question 72

What is the formula for density?

Answer 72

Density = mass / volume

Question 73

What is the SOHCAHTOA calculation for Sin?

Answer 73

Opposite / hypotenuse

Question 74

What is the SOHCAHTOA calculation for Cos?

Answer 74

Adjacent / hypotenuse

Question 75

What is the SOHCAHTOA calculation for Tan?

Answer 75

Opposite / adjacent

Question 76

What is the rule of Bidmas?

Answer 76

Brackets, Indices, Division, Multiplication, Addition, Subtraction

Question 77

What are bearings?

Answer 77

Angles measured CLOCKWISE from NORTH

Question 78

What is: 1⁄x the same as? | (Law of indices)

Answer 78

x^-1

Question 79

What is: √x the same as? | (Law of indices)

Answer 79

x^½

Question 80

What is x⁰

Answer 80

1

Question 81

What is x¹

Answer 81

x

Question 82

What is aⁿ x a^m

Answer 82

a^n+m

Question 83

What is aⁿ ÷ a^m

Answer 83

a^n-m

Question 84

What is (aⁿ)^m

Answer 84

a^{n x m}

Question 85

What is a dependent event?

Answer 85

Events whose probability IS affected by a previous event.

Question 86

What is an independent event?

Answer 86

Event where the probability IS NOT affected by other events.

Question 87

What does P (A n B) equal?

Answer 87

P (A and B)

Question 88

What does P (A u B) equal?

Answer 88

P (A or B)