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• Shortcut Bar 1 8 15 Percent 15
• Shortcut Bar 1 8 15 Percent 20

This is a complete lesson with instruction and exercises for fifth grade. It teaches students about measuring in inches, using the 1/16 parts of an inch.

• Percentage is most important chapter and its shortcut tricks are need to know why because it uses other chapters for calculation like data interpretation chapter so we first learn percentage shortcuts tricks and Percentage is A fraction or a numerical expression or a ration with 100 assumed as denominator. So we can represent 1 percentage as 1%.
• Alt codes list ☺♥♪ keyboard symbols Full list of Alt codes. Contains both 1 - 256 and 0128 - 0256 code ranges. Numbers you can type on your keyboard's Num Pad to get special symbols.

1. Find the ½-inch mark, 1 ½ -inch mark, and 2 ½-inch mark on all of the rulers above.

2. Find the ¼-inch mark, the ¾-inch mark, the 1 ¼-inch mark, the 1 ¾-inch mark, the 2 ¼-inch mark,
the 2 ¾-inch mark, and the 3¼-inch mark on the bottom three rulers above.

Mathcad Keyboard Shortcuts Action Example Keystroke Mathcad Help F1 Context sensitive Help Shift F1 Calculate worksheet Ctrl F9 Calculate region F9 Redefinition warnings (toggle on and off) Ctrl Shift R Insert text region ' Insert math within text region Ctrl Shift A Addition with line break operator (within a math region).

3. On the ruler that measures in 8th parts of an inch, find and label tick marks for these points: the
1/8-inch point, the 5/8-inch point, the 7/8-inch point, the 1 5/8-inch point, and the 2 3/8-inch point.

Also, find these same points on the ruler that measures in 16th parts of an inch.

4. Look at the ruler that measures in 16th parts of an inch. On that ruler find tick marks for these points:

5. Measure the following colored lines with the rulers given. If the end of the line does not fall exactly
on a tick mark, then read the mark that is CLOSEST to the end of the line.

6. Measure the followinglines using different rulers. Cut out the rulers from the bottom of this page.

You may cut out the following rulers:

7. Find six items in your home that you can measure with your rulerand measure them.

8. Carefully measure the sides of the
quadrilateral at the right, and
find its perimeter.

9. A small rectangular bulletin board
measures 15 3/4 in. by 9 1/8 in.
What is its perimeter?

10. Janet checked the amount of sugar in 10
different cookie recipes. The amounts were (in cups):

1 1/2 1 3/8 1 1 3/4 1 1/2 1 1/8 1 1/4 1 1/4 1 1/2 3/4

a. Make a line plot from this data (below) by drawing an X-mark
for each measurement above the number line.

b. If Janet made the recipe with the least amount of sugar
three times, how much sugar would she need?

c. If Janet made the recipe with the largest amount of sugar
three times, how much sugar would she need?

11. Make a line plot from these measurements (lengths of cockroaches, in inches, in Jake's collection):

1 1/4 1 1/8 1 1/8 1 1/2 1 1 1/8 1 3/8 1 3/4 1 3/8 7/8 1 1/4 2 1/8 1/2 1 1/4 1 1/4

1 1/2 1 1/2 1 1/2 1 5/8

This time, you will need to do the scaling on the number line.

b. What is the mode of this data set?

c. Jake took his five longest cockroaches, and placed them
end-to-end. How long a “train” did they form?

12. Measure a bunch of pencils to the nearest 1/8 or 1/16 of an inch. Then make a line plot of
your data.

This lesson is taken from Maria Miller's book Math Mammoth Fractions 1, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.

Math Mammoth Fractions 1

A self-teaching worktext for 5th grade that teaches fractions and their operations with visual models. The book covers fractions, mixed numbers, adding and subtracting like fractions, adding and subtracting mixed numbers, adding and subtracting unlike fractions, and comparing fractions.

Download ($3.50). Also available as a printed copy.

Percentage can be defined as follows,

Comparing the given number to 100

or

Ratio between the given number and 100

or

Saying per 100

For example,

30 % = 30/100 or 30 : 100

Let us see some shortcuts which can be useful to solve problems on percentage.

Shortcut 1 :

How to find percentage of a number in another number ?

For example,

'a' is what percent of 'b' ?

Shortcut 2 :

If a number is increased/decreased to another number, how to find the increase in percentage ?

For example,

'80' is increased to '96'.

Difference = 96 - 80 = 16

Percentage increase = (16 / 80) x 100% = 20%

Shortcut 3 :

Cost price and marked up percentage are given.

Cost price = C.P, Profit percentage = m%

Then,

Selling price (S.P) = (100 + m)% ⋅ C.P

Shortcut 4 :

List price and marked down percentage are given.

List price = L.P, Marked down percentage = m%

Then,

Selling price (S.P) = (100 - m)% ⋅ L.P

Shortcut 5 :

Profit = S.P - C.P

Loss = C.P - S.P

Shortcut 6 :

Cost price and Profit are given.

Cost price = C.P, Profit = K

Shortcut 7 :

Cost price and Loss are given

Cost price = C.P, Loss = K

Shortcut 8 :

Selling price and profit percentage are given.

How to find cost price ?

Use shortcut 1 and solve for C.P

Shortcut 9 :

Selling price and loss percentage are given.

How to find cost price ?

Use shortcut 2 and solve for C.P

Shortcut 10 :

Marked Price : It is the price before discount given

Selling price = Marked price - Discount value

Shortcut 11 :

Marked price = M.P, Discount percentage = D%

Then, the discount value is

= D% ⋅ M.P

Selling price is

= (100 - D)% ⋅ M.P

Shortcut 12 :

Shortcut Bar 1 8 15 Percent 15

Marked price (M.P) and discount value are given.

Then shortcut to find the discount percentage is,

Shortcut 13 :

Retailer using false weight :

A trader cheats his customer to make a profit by stating that he sells at cost price. But he gives his customer less than 1000 grams (false weight) for every 1 kilogram.

Then, the profit percentage is

Shortcut 14 :

Shortcut Bar 1 8 15 Percent 20

Two articles are sold at the same price. But, one is sold at a profit of p% and other one is sold at a loss of p%.

Then, the net result of the transaction is loss.

The loss percentage is

= (p² / 100)%

Shortcut 15 :

The cost price of two articles is same. But, one is sold at a profit of p% and other one is sold at a loss of p%.

Then, the net result of the transaction is no profit and no loss.

If you would like to have practice problems on percentage,

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You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

HCF and LCM word problems

Word problems on simple equations

Word problems on linear equations

Trigonometry word problems

Word problems on mixed fractrions

OTHER TOPICS

Ratio and proportion shortcuts

Converting repeating decimals in to fractions

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