### Electrifying worksheets

Basic mathematical concepts are followed all the time. You would be amazed to see the involvement of math in every situation. The day you realize its importance in routine life, you will fall in love with this subject. Here are some random worked examples followed by worksheets to be solved by you. You can Nail it now!

#### Sample resource sheet 1: Making budget with your pocket money for the month

**You apply:**

Basic mathematical operations (addition, subtraction, multiplication, and division)

Calculation of percentage

Arithmetic calculations

#### Monthly expenses of a student

Expense | Budgeted | Actual Cost | Jessica’s Comments |

Rent | €230 | €230 | On budget |

Utilities | €100 | €80 | This always varied by a few dollars, but it rarely went over $20 |

Internet | €15 | €15 | On budget |

Groceries | € 120 | € 90 | Lower than usual from eating out |

Eating out coffee | €35 | €25 | Under control |

Transport[Bus/train] Taxi/bike | € 20 | €10 | I walked a few kilometers |

Entertainment | € 70 | € 90 | A little over budget |

College expenses fees | € 500 | € 520 | Apart from tuition fees, Little things come up here and there. This was a book |

Medical | € 50 | € 44 | Came in under budget. |

Clothes | € 60 | € 78 | Went a little overboard at H&M |

Miscellaneous | € 50 | € 60 | Would’ve been under budget, but I had to put a deposit down for my spring break trip. That money came out of my savings from previous month |

TOTAL | € 1,250 | € 1242 | $ 10[approx] came out of my savings. I planned for most of it |

#### Let us make weekly budget of our home

Total Income monthly $ | BUDGET $ | ACTUAL $ |

Expenses | ||

Rent | ||

Utilities | ||

Credit card | ||

House / car Loans EMI | ||

Transport | ||

Phone | ||

Groceries | ||

Health & wellness | ||

Entertainment | ||

Charity | ||

Education | ||

Miscellaneous | ||

Total weekly expenses | ||

Total monthly expenses | ||

Savings | ||

Percentage Savings |

#### Transfer of knowledge [Interdisciplinary]

#### Sample resource sheet 2: Math has a connection to multiple subjects. Understanding its importance will make learning math an enjoyable journey. Here is an example which displays the integration between ratio and proportion and other subjects

#### Grocery shopping [math to compare costs]

If a 10-ounce box of cereal costs $3 and a 20-ounce box of cereal costs $5, the 20-ounce box is the better value because each ounce of cereal is cheaper. For the larger box of cereal, each ounce of cereal costs 25 cents.

#### Recipes and cooking [math & chemistry]

To create the best-tasting achiote oil, you combine 1 cup of olive oil with 2 tablespoons of achiote, or orange seeds. We can also write it as 1:2

#### Special ratios [math & biology]

For example, the length of your forearm divided by the length your hand results in a number close to 1.618, or phi. Euclid originally determined phi, or the golden ratio, as a means to calculate line segments and relationships between shapes

### Problem 1:

#### Sharing is Caring [math & art]

The illustration below shows three plates, each with two slices of pizza. Express in ratio the slices of pizza to plates.

##### The ratio is ---------- and is said to be equivalent to the ratio -----------

### Problem 2:

#### Integrated activities connected to earth science

##### Volume math challenge (Math)

- The volume of any sphere is calculated by this formula: V = 4/3 πr3
- The radius of a circle or sphere is one-half of the diameter. The value of π in this case is 3.14.

**Volume of earth =**

**Volume of sun =**

##### Observing the positions of planets ( Science)

- Write the distance between the sun and each planet using the exponential form.
- Explore the temperature on 8 planets

PLANET | DISTANCE | EXPONENTIAL NOTATION | TEMPERATURE IN CELSIUS & FAHRENHEIT |

MERCURY | 57 million km=57000000 km | 57 x 10^{6} km or 5.7×10⁷ km |
430°C =(430°C × 9/5) + 32 = 806°F |

Venus | 108 million km | ||

Earth | 150 million km | ||

Mars | 228 million km | ||

Jupiter | 779 million km | ||

Saturn | 1.43 billion km | ||

Uranus | 2.88 billion km | ||

Neptune | 4.5 billion km |

### Problem 3:

### Challenge your limits and reach beyond

### - Work as an entrepreneur

#### SALE PRICE OF BURGER = $4

#### PROFIT=SP-CP= $ ……..

#### MP on BURGER = $4

SP OF BURGER=$2

Discount=……$

Discount %=…

[Hint: Discount = MP – SP &

(discount ÷ mark price) × 100]

#### COST PRICE OF BURGER= $2

#### PROFIT %= (P/CP) x 100=…. $

#### Find selling price when Cost Price = $ 750

and Loss % = 15%

[Hint: SP = {(100 – L%)/100} x CP

Ans: $637.37

#### MONTHLY SALES= 1000 BURGERS

#### TOTAL SALE= ---- $

#### By selling a burger for $5, the shopkeeper earns a profit of 2%. For how much did the burger cost the shopkeeper? Hint:

C.P.=[100 ÷ (100 + Profit%) x S.P.]

#### Formulas to solve maths problems based on

profit , loss and discount

Profit, P = SP – CP; SP>CP

Loss, L = CP – SP; CP>SP

P% = (P/CP) x 100

L% = (L/CP) x 100

SP = {(100 + P%)/100} x CP

SP = {(100 – L%)/100} x CP

CP = {100/(100 + P%)} x SP

CP = {100/(100 – L%)} x SP

Discount = MP – SP

SP = MP –Discount

**Always remember:**

- For profit, the selling price should be more than the cost price
- For loss, the cost price should be more than the selling price
- The percentage value for profit and loss is calculated in terms of cost price