APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 DATA PAGES

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1 APPRENTICESHIP AND WORKPLACE MATHEMATICS 10 DATA PAGES UNIT CONVERSION Length Mass (Weight) Volume Common Abbreviations Common Imperial Imperial and SI SI 1 mile = 1760 yards 1 mile km 1km= 1000 m 1 mile = 5280 feet 1yard= m 1m= 100 cm 1yard= 3 feet 1 foot = cm 1yard= 36 inches 1inch= 2.54 cm 1cm= 10 mm 1 foot = 12 inches 1ton= 2000 pounds 2.2 pounds 1kg 1t= 1000 kg 1 pound = 16 ounces 1 pound 454 g 1kg= 1000 g 1 ounce g 1 gallon = 4 quarts 1.06 quarts (US) 1L 1 gallon (UK) 6 5 gallons (US) 0.26 gallons (US) 1L 32 fluid ounces = 1 quart 3.52 fluid ounces (UK) 100 ml 3.38 fluid ounces (US) 100 ml mile = mi kilometre = km yard = yd metre = m feet = 'orft centimetre = cm inch = "orin millimetre = mm ton = tn tonne (metric ton) = t pound = lb gram = g ounce = oz litre = L fluid ounce = fl oz millilitre = ml Temperature C = 5 9 ( F 32) F = 9 5 C + 32 Ministry of Education 1 Apprenticeship and Workplace Mathematics 10

2 cm FORMULAE Trigonometry (Put your calculator in Degree Mode) Right triangles Pythagorean Theorem a 2 + b 2 = c 2 sin A = cos A = opposite hypotenuse adjacent hypotenuse tan A = opposite adjacent a C B b c A Ministry of Education 2 Apprenticeship and Workplace Mathematics 10

3 l = length w = width b = base h = height s = slant height r = radius d = diameter GEOMETRIC FORMULAE Key Legend P = perimeter C = circumference A = area SA = surface area V = volume Geometric Figure Perimeter Area Rectangle Triangle Circle P = 2l + 2w or P = 2( l + w) P = a + b + c C = πd or C = 2πr A = lw A = bh 2 A = πr 2 Note: Use the value of π programmed in your calculator rather than the approximation of Inches Ministry of Education 3 Apprenticeship and Workplace Mathematics 10

4 Geometric Solid Surface Area Cylinder r h A top = πr 2 A base = πr 2 A side = 2πrh SA = 2πr 2 + 2πrh Sphere SA = 4πr 2 r or SA = πd 2 Cone A side = πrs h r s A base = πr 2 SA = πr 2 + πrs Square-Based Pyramid A triangle = 1 2 bs ( for each triangle ) b h s b A base = b 2 SA = 2bs + b 2 Rectangular Prism SA = wh + wh + lw + lw + lh + lh h l w or SA = 2( wh + lw + lh) General Right Prism General Right Pyramid SA = the sum of the areas of all the faces SA = the sum of the areas of all the faces Note: Use the value of π programmed in your calculator rather than the approximation of Ministry of Education 4 Apprenticeship and Workplace Mathematics 10

5 Canada Pension Plan Contributions Weekly (52 pay periods a year) Cotisations au Régime de pensions du Canada Hebdomadaire (52 périodes de paie par année) Pay Pay Pay Pay Rémunération CPP Rémunération CPP Rémunération CPP Rémunération CPP RPC RPC RPC RPC From - De To - À From - De To - À From - De To - À From - De To - À Employee's maximum CPP contribution for the year 2009 is $2, B-6 La cotisation maximale de l'employé au RPC pour l'année 2009 est de 2 118,60 $ Ministry of Education 5 Apprenticeship and Workplace Mathematics 10

6 Employment Insurance Premiums Cotisations à l'assurance-emploi Insurable Earnings EI Insurable Earnings EI Insurable Earnings EI Insurable Earnings EI Rémunération assurable premium Rémunération assurable premium Rémunération assurable premium Rémunération assurable premium Cotisation Cotisation Cotisation Cotisation From - De To - À d'ae From - De To - À d'ae From - De To - À d'ae From - De To - À d'ae Yearly maximum insurable earnings are $42,300 Le maximum annuel de la rémunération assurable est de $ Yearly maximum employee premiums are $ La cotisation maximale annuelle de l'employé est de 731,79 $ The premium rate for 2009 is 1.73 % C-3 Le taux de cotisation pour 2009 est de 1,73 % Ministry of Education 6 Apprenticeship and Workplace Mathematics 10

7 Federal tax deductions Retenues d'impôt fédéral Effective January 1, 2009 er En vigueur le 1 janvier 2009 Weekly (52 pay periods a year) Hebdomadaire (52 périodes de paie par année) Also look up the tax deductions Cherchez aussi les retenues d'impôt in the provincial table dans la table provinciale Pay Federal claim codes/codes de demande fédéraux Rémunération From Less than De Moins de Deduct from each pay Retenez sur chaque paie This table is available on TOD D-2 Vous pouvez obtenir cette table sur TSD Ministry of Education 7 Apprenticeship and Workplace Mathematics 10

8 British Columbia provincial tax deductions Retenues d'impôt provincial de la Colombie-Britannique Effective January 1, 2009 En vigueur le 1 er janvier 2009 Weekly (52 pay periods a year) Hebdomadaire (52 périodes de paie par année) Also look up the tax deductions Cherchez aussi les retenues d'impôt in the federal table dans la table fédérale Pay Provincial claim codes/codes de demande provinciaux Rémunération From Less than De Moins de Deduct from each pay Retenez sur chaque paie 343 * This table is available on TOD E-1 *You normally use claim code ''0'' only for non-resident employees. However, if you have non-resident employees who earn less than the minimum amount shown in the ''Pay'' column, you may not be able to use these tables. Instead, refer to the ''Step-by-step calculation of tax deductions'' in Section ''A'' of this publication. *Le code de demande «0» est normalement utilisé seulement pour les non-résidents. Cependant, si la rémunération de votre employé non résidant est inférieure au montant minimum indiqué dans la colonne «Rémunération», vous ne pourrez peut-être pas utiliser ces tables. Reportez-vous alors au «Calcul des retenues d'impôt, étape par étape» dans la section «A» de cette publication. Vous pouvez obtenir cette table sur TSD Ministry of Education 8 Apprenticeship and Workplace Mathematics 10