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35 Cards in this Set
- Front
- Back
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Percentages to decimal
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Divide the percentage by 100
e.g 54% ÷ 100 = 0.54 |
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Decimal to percentage
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Multiply the decimal by 100
e.g 0.67 x 100= 67% |
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Fraction to Percentage
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Multiply the fraction by 100
e.g ½ × 100 = 0.50% |
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Percentages to Fractions
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Divide percentage by 100 then simplify if possible
e.g 60% ÷ 100 = 60/100 = 3/5 |
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Scientific Notation
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Scientific notation is writing significant and smaller numbers in a shorter form.
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Irrational Numbers
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Numbers that can be written as a decimal but not as a fraction because it has endless non-repeating digits to the right of a decimal point
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Rational Numbers
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A rational number is a number that can be written as a ratio or as a fraction (numerator & denominator are whole numbers)
e.g 8/1 , 3/4 , 1/2 |
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Significant Figures
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Rounds to get important digits of a number
e.g Round to 4 significant figures a) 389764 =389800 |
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Percentage of a Quantity
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Divide the Percentage by 100 then multiply by the quantity
e.g. Find 15% of $8 15% × 8 = 15 ÷ 100 × 8 = $1.20 |
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Percentage Increase
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Multiply the amount by the percentage plus 100%
e.g. Increase $80 by 15% $80 x 115 % = $92 |
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Unitary Method
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Can be used with fractions, percentages and ratios
The unitary method involves finding the value of one part or item when given the value of several parts or items. e.g 1 If 3/4 of a number is 81, what is the number? Solution 3/4 of the number = 81 ∴ 1/4 of the number = 81 ÷ 3 = 27 ∴ 4/4 of the number = 27 × 4 = 108 The number is 108 6% of Vimila’s weekly wage is $30. Calculate her weekly wage. Solution 6% is $30 ∴ 1% is $30 ÷ 6 = $5 ∴ 100% is $5 × 100 = $500 Vimila’s total wage is $500. |
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Supplementary Angles
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180 degrees
Complement your grandma because she's 90 years old. 180 yr olds must have used a lot of supplements |
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Complementary angles
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90 degrees
Complement your grandma because she's 90 years old. 180 yr olds must have used a lot of supplements |
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Revolution
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360 degrees
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Alternate Angles
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Corresponding Angles
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Co-interior angles
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Interior angles of a polygon
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(n-2)180
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Sum of exterior angles
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always adds to 360 degrees
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SOHCAHTOA
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Naming hypotenuse, opposite and adjacent angles
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Finding unknown Angles in triangles
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Decimals:
2ndF -> Sin, Cos, Tan Continue if minutes & seconds required 2ndF -> DMS |
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Finding unknown sides in triangles
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Angle of Elevation
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Angles of depression
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Bearings
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Profit Percentage
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Subtract the selling price from the original price, then divide that answer by the original price and multiply by 100%
e.g Jason buys a Cd player for $250 and sells it for $525. Find the profit percentage. $425-$250=$175 175/200 x 100% = 70% |
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Percentage Decrease
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Multiply the amount by 100% minus the percentage
e.g decrease $80 by 15% $80 x 55%=$68 |
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Properties of a Parallelogram
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Properties of a rectangle
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Properties of a Kite
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Properties of a Rhombus
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Properties of a Square
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Properties of a trapezium
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Finding Sin, Cos & Tan
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