maths_and_science: December 2017

Sunday, December 31, 2017

Assignment for January 1st 2018

Pythagoras Theorem:

Using Pythagoras Theorem - solve for the missing distance as shown in the description below:

Saturday, December 30, 2017

Algebra : Mixed Equations

Thursday, December 28, 2017

Geometry :

Find the area of Triangle, Trapezoid, Parallelogram in the pictures shown below.

Wednesday, December 27, 2017

Tuesday, December 26, 2017

Divide:

x² + 8x +7 ÷   x +7

p² - 29p - 132 ÷    p+4

10m² + 59m + 63 ÷    2m + 9

-12 - 6p² + 17p ÷    2p - 3

8y³ + 4y + 7y ² + 2y ⁴ + 3 ÷    3 + y

34x - 22 x³ - 12x⁴ - 10x ² - 75 ÷    3x +7

15 z ³ - 20z² + 13z - 12 ÷    3z - 6

24a ² + 73ab + 24b² ÷    8a + 3b

6p ³ -19 p ² - 8p + 10 ÷    p ² - 4p +2

14x ³ + 33x ² + 53x + 30 ÷    2x ² + 3x + 5

a ⁵ + b ⁵ ÷    a + b

x ⁴ - y ⁴ ÷    x - y

Monday, December 25, 2017

Assignment for December 25

Squares of Numbers :

   Finding Sum without "Adding the numbers."
            1+2+3+4+5+6+7+9+10+11+12+13

    I can either add 1+2+3... upto 13 and tell the sum,
    OR
    I can count the number of items in that line ( i.e there are 13 items )
        Now, that I know there are 13 items - Just square it.
        13 square is 169. ( so the answer is 169)

    Having read this please solve the problems below

Problems:
            1+2+3+4+5+6+7+9+10+11+12+13+15+17

            1+2+3+4+5+6+7+9+10+11

Triangular Numbers :

Triangular Numbers are defined as :

1                    = 1
1+2                = 3
1+2+3            = 6
1+2+3+4        = 10
1+2+3+4+5    = 15

Here 1, 3, 6, 10 and 15 are called Triangular numbers.

The nth number of the series of triangular number is given by   n ( n+1 )
                                                               --------
                                                                      2
e:g :
        if I were to add 1 + 3, I get 4 = 2 square, i,e '2' is the higher number (look at second line)

Having read this, Solve the problems below.

Problems :
    What is the 6th triangular number ? ( I have already given the 5 triangular numbers above )
     What is the 8th triangular number ?
     What is the 11th Triangular number ?

Algebra

Simplify ( This is from your text book )

Find the Products :

Saturday, December 23, 2017

Assignment for Dec 24

Christmas Themed Questions.

1. Santa Claus rides his sleigh around the North Pole.

The Arctic circle is 16,000 kilometers
What is it's radius ? and What is the area of the Arctic Circle using this formula ? ( A = Pi r square )

2. Reindeer migration in Norway: They migrate south for food during winter, and migrate back to the North during summer.
If their total migration path is 3100 miles per year, and their walking speed is 23 miles / day.
How many days do they spend in a year walking ?

3. If a radius of a circle is 10 meters - what is it's diameter and area ?

4. A North American Rein deer can walk about 23 miles a day. How many miles will it walk in a week ?

5. A Christmas tree has a base of 9 ft, and a length of 6 ft. What is the area occupied by the Christmas tree ?

6. A family decides to keep their Christmas tree in their Room which has a length of 20 feet wide and 10 feet wide, and they allot 1/4th of the room space to the Christmas tree ?

What should be the base of the Christmas tree that they should buy ?

7. What do you call a triangle whose sides are all equal?
    A. Equilateral
    B. Isosceles
    C. Scalene

8. If Santa Claus Sleigh travels at 650 miles / second. How many miles will it travel in a hour ?

9. A kitchen oven baking tray is used for baking cookies.
It has a length of 1ft and width of 1-1/2 ft ( or 18 inches )

If Cookies to be baked are to placed at 6 cms apart - how many cookies can be placed in a single row ?
1. Is it 5 cookies or 6 in a single row, Answer to be explained.

2. How many cookies can be placed in the entire tray ?