( 1 2 )3 = ( 4 5 )2 = (1 2 3 )3 = REVIEW PACKAGE #2. Convert these Units: Various Fraction Operations. Started: Due:

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1 Started: Due: Work on your Memory Aid as you do these questions USE: your calculator, geometry set, multiplication table, memory aid, workbook, notes, or any other tool we used in class. Ask your friends, family and teacher for help. Convert these Units: m = mm km = cm m = mm mm = km cm = m m = km 670 cm = km cm = m 4.31 cm = m km = cm km = cm 4.5 m = mm Various Fraction Operations = = = = = = = = = = ( 1 2 )3 = ( 4 5 )2 = (1 2 3 )3 =

2 Bicycle Race A long bike race is held in Math Town. The race does 5 laps around the outside of an isosceles triangle ABC. The area enclosed by the race course is 20km 2. A C Z Race course facts: B The path AZ is for spectators and race-workers. AZ is perpendicular to BC. AZ is 5 km long AB is 6.4km and is congruent to AC In this year s race Mo The Flash Bilal was the champion. It was great performance by Mo. He crossed the finish line first but he also was in the lead for 3 of the race. 4 Over what distance (how may kilometres) was Mo the leader?

3 Convert Decimal to Percent (x by 100) = = 0.6 = = 0.36 = = Convert Percent to Decimal ( by 100) 93 % = 83 % = 19.4 % = 47 % = 77.2 % = 52.8 % = Convert Decimal to Fraction (write the fraction as the decimal reads then simplify.) Ex: 0.12 reads as twelve hundredths so 12 4 = = = 0.55 = 0.5 = = 0.74 = Convert Fraction to Decimal (Divide the top by the bottom. Round to hundredths. For mixed fractions convert to improper FIRST) 1 3 = 3 5 = 9 11 = 4 7 = = = Convert Fraction to Percent (Divide top by the bottom and by 100) = = 7 20 = 3 18 = = 1 5 = Convert Percent to Fraction (make a fraction over 100, then simplify if possible) 95 % = 71 % = 38.2 % = 35.3 % = 68.9 % = 95 % =

4 Calculate the decimal of of means multiply 0.5 of 28 = 0.8 of 160 = 0.33 of 126 = 0.2 of 8 = 0.65 of 357 = 0.87 of 502 = Calculate % of (first divide the % by 100 to convert to a decimal) 20% of 80 = 15.3% of 33 = 25% of 24 = 35% of 500 = 70% of = 90.5% of 9.55 = Calculate the fraction of a number (divide top by bottom to convert the fraction to a decimal) 3 5 of 25 = 2 3 of 45 = 1 4 of 9 = 5 7 of 62 = 1 9 of 31.5 = 1 of 57 = 2 Order this group from least to greatest (tip: convert everything to decimals first) % % 25% Order this group from greatest to least (tip: convert everything to decimals first) % %

5 GAME SHOW This giant game board has hidden prizes underneath the spaces on the board. 3 of the spaces on the 8 board hide a prize. How many spaces have a prize underneath? How many spaces do not have a prize underneath? How many prizes should be found under 20 spaces of the board? If the giant game board covers 2/3 of the TV Studio floor and the studio floor is 36m 2, what area of the studio is covered by game board spaces that hide a prize?

6 Various Discounts with taxes Use these prices and discounts to calculate the 3 bills below. Apply a 14% tax. 25% off Pair of Boots (reg. price = $39.99) T-Shirt (reg. price = $15.00) Pair of Work Gloves (reg. price=$19.99) 1 3 off Baseball Cap (reg. price=$29.99) Hoodie (reg.price = $34.99) Bag of Trail Mix (reg. price = $8.99) Buy 2 get one free Beef Jerky (reg. price = $2.49) Colouring Pencils (reg. price = $6.50) Bag of Carrots (reg.price = $2.00) BILL #1 2 bags of Trail Mix 3 packages of Beef Jerky 1 pair of work gloves Bill #2 4 bags of carrots 2 Hoodies 2 Baseball Caps Bill #3 1 Package of Colouring Pencils 3 Pairs of boots 5 T-Shirts

7 More Money Questions Peter wants to switch from one cell phone company to another. He investigates the cost at the two companies below: Blabs A Lot Ltd. $9.00 monthly fee $0 monthly fee Chatter Box Inc. $0.10 per daytime minute $0.20 per daytime minute $0.05 per night time minute $0.10 per night time minute On average, Peter uses his cell phone for 300 daytime minutes and 200 night time minutes per month. Which of these two companies offers Peter the lower monthly cost? AMAZING SALE! Buy 3 shirts at $24.99 each, and save $5.00 off the price of EACH shirt! Limited time offer buy now! Kerry bought 3 of the shirts. He gave the cashier $100. Write the expression which shows how to calculate his change?

8 Word Problems: Practice choosing the right operation to use total means ADD 1) A circus gave a three-hour performance in an auditorium which holds 324 seats. At the show, 76 seats remained empty, 158 were occupied by children and the rest by adults. The price of admission was $3 per child and $8 per adult. What was the total amount of money made by the organizers of the event? per means multiply the amount by the cost larger often means finding the difference 2) Michael works during the day at a boutique where he earns a salary of $8 per hour and he works evenings at a restaurant where he earns $11 per hour. a. Last week, Michael worked 24 hours at the boutique and 12 hours at the restaurant. What was his total amount earned for the week? b. If he wants to earn $368 one week and he must work 24 hours at the boutique, what is the total number of hours Michael would have to work at the restaurant? 3) The distance from St. John s to Halifax is 1,503km. The distance from Halifax to Calgary is 6,384km. How far is it from St. John s to Calgary? 4) The area of Manitoba is 650,087km² and the area of British Columbia is 948,597km². How much larger is British Columbia than Manitoba? 5) The difference in price between a Mercedes Benz and a Ford Explorer is $34,708. What is the price of the more expensive Mercedes if the explorer costs $28,856?

9 BEDMAS with fractions and decimals (it might be easier to convert fractions to decimals first)

10 THROUGH THE FORREST Hiker Hal is on his way to visit his friend Sal, who lives 10 km away. He has travelled from his house to the beginning of the forest (shown on the diagram below). Hiker Hal s Mountain Forest Cornfield km km km Bridge km? Sal s Home What FRACTION represents the length of the trail through the forest? Explain, using words and calculations or diagrams, how you found your answer.