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ALTA-MATH

ALTA-MATH . Riverchase Elementary 2008-2009-10. Problem #1 (Most often correct). If you wanted to get $35 all in dimes, how many dimes would you get? 350 Dimes Dime= $.10 10 X $.10 = $1.00 35 ÷ .10 = 350 dimes. Problem #2 AREA.

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ALTA-MATH

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  1. ALTA-MATH Riverchase Elementary 2008-2009-10

  2. Problem #1 (Most often correct) • If you wanted to get $35 all in dimes, how many dimes would you get? • 350 Dimes • Dime= $.10 10 X $.10 = $1.00 • 35 ÷ .10 = 350 dimes

  3. Problem #2 AREA • One rectangle measures 15 feet X 20 feet. Another rectangle has twice the area of the first rectangle. If it is also 15 feet wide, how long is it? • 40 feet long • In this case you don’t even have to do the math. You can just double the length to double the area. • W X L = Area 2 X Area = W X (2 X L)

  4. Problem #3 • What is the sum (that’s adding) of half of 36 and a third of 48? • 34 • Half of 36 = 18 (Divide 36 by 2) • A third of 48 = 16 (Divide 48 by 3) • 18 + 16 = 34

  5. Problem #4 • Meredith has a weird clock that chimes once every 20 minutes. How many times will it chime in a 24 hour period? • 72 times • How many 20 minute periods are there in an hour (60 minutes)? • 3 • 3 X 24 =72

  6. Problem #5 • The pastry chef made 48 cakes for the 288 kids that came to the party. What fraction of a cake will each kid get if everyone gets the same amount of cake? • 1/6 • What do you have to do here? • Division • 48 cakes divided by 288 = • 48 = 12 = 1 288 72 6 *Make sure your fractions are simplified!

  7. Problem # 6 • If we make a code where each letter is represented by the number of its place in the alphabet (that would make a = 1, b = 2, c = 3,…, z = 26), what is the total when you add all those numbers together for the word math? • 42 • M = 13 • A = 1 • T = 20 • H = 8 13 + 1 + 20 + 8 = 42

  8. Problem # 7 • The p0pulation of the United States is approximately 300 million. The population of the world is approximately 6.5 billion. Using those numbers, the population of the United States is about what fraction of the population of the world? Write your answer as a simplified common fraction without decimals. • 3/65 • 300,000,000/6,500,000,000 • Take out the 8 (duplicate ) zeros in each number. 3/65!!

  9. Problem #8 • George has a spinner that is divided into 5 equal areas so that it is equally likely that it will land on area A, B, C, D, or E. What is the probability that it will land on C three times in a row? • 1/125 • What is the probability that the spinner will land on C the first time? • 1/5 (Each area has an equal chance) • What is the probability of the spinner landing on C the 2nd time? • 1/5 (Still all have an equal chance) • What is the probability of the spinner landing on # the 3rd time? • 1/5 (Same-O) 1/5 x 1/5 x 1/5 = 1/125

  10. Problem #9 • One term for a United States President goes from January 20 in one year through January 19 four years later. Unless one year of his term is in a year ending in -00, one year of his presidency is a leap year with 366 days and the other three years have 365 days. If his term does include a year that ends in -00, then all four years of his term have 365 days each. How many days will be in the first term of the president elected in 2008? • 1461 • What do you need to do? • Multiply (or add) 365 three times and add 366 (1461) • OR Multiply 365 days X 4 years (1460) and add one more day (1461).

  11. Problem # 10 • The new super jumbo jet A380 made by Airbus in Europe weighs 1.2 million pounds when it is loaded and ready to take off. A ton is 2,000 pounds. How many tons does the Airbus A380 weigh at take off? • 600 tons • It’s a division problem. You must divide 1.2 million by 2,000. • Simple? Can you make it even more simple? • Write 1,200,000 & 2,000. Now take away 3 zeros from each part of the problem. Now it’s 1,200/2.

  12. Problem #11 • In 2004, Americans drank more than 23 gallons of bottled water per person, about 10 times as much as they drank in 1980. If one gallon of bottled water costs $2.50, how much did the average American spend on bottled water? (Isn’t it kind of silly since the cost for good drinking water from the tap in their kitchen is less than a penny per gallon?) Round your answer to the nearest penny. • $57.50 • What is IMPORTANT here? (They are trying to cloud your mind with extra stuff!!) Read it again & draw a line through the EXTRA stuff. • 23 (gallons) X $2.50 per gallon = $57.50.

  13. Problem #12 • Someone who works in a manufacturing job is often paid a standard wage for the first 40 hours he/she works per week, and then time-and-a-half (150% of the standard wage) for each hour above 40 hours. Let’s say that Deedee earns a standard wage of $12 per hour. In February she worked 55 hours each of the four weeks. How much did she earn before taxes? • $3,000 • This is a two part problem. What do you need to know? • How much does she make on a regular week? 40 hours X $12 per hour = $480. • How much does she make for the extra 15 hours she worked in a week? 15 hours X ($12 + $6 =$18 per hour) = $270 extra per week. Do you see how “time” = $12 + “a half” = ½ of $12 = $6 = $18 or 150% of $12 = $18 • You could add both wages (regular + overtime) now = $480 + 270 = $750 and multiply by 4 weeks = $3000 or multiply her regular wages by 4 weeks = $1920 & multiply her overtime by 4 = $1080 & add them together = $3000.

  14. Problem #13 • What is ¾ of the sum of 5/6 + 2/3 + ½? (Give your answer as a whole number or as a simplified mixed number) • 1 ½ or 1.5 • What do you need to do first? • Find the Lowest Common Denominator. Which is….? • 6 Multiply the numerators by the same number you multiplied to get the LCD. Now you have 5/6 + 4/6 + 3/6. • 5/6 + 4/6 + 3/6 = 12/6 =2 • What is ¾ of 2? You can now multiply fractions! (3/4 X 2 =6/4 =3/2 =1 ½) *Make sure your fractions are simplified!

  15. Problem #14 • Leonhard Euler was born in 1707, so last year (2007) we celebrated his 300th birthday. It might have been nice if someone had thought to celebrate his 125th birthday. What year would that have been? • 1832 • What do you need to know? (Remember to weed out EXTRA stuff!! ) What operation do you need to use? • Addition!! 1707 + 125 (for his 125th birthday) = 1832!!

  16. Problem #15 • You can buy 100 cans of dog food for $25.20. At that rate, how much will three cans cost? (round your answer to the nearest penny.) • $.76 • What operations will you use and in what order? • Division and then either addition or multiplication, right? • If you divide $25.20 by 100 (you can do it simply by moving the decimal point) = $.252 per can • Then add 3 cans = $.756 or multiply by 3 cans = $.756 which, when rounded to the nearest penny, = $.76.

  17. Problem # 16 (9 of you! Yea!) • There are four different kinds of cookies on the plate, and you have your choice of coke, sprite, or root beer. If you are allowed to take one cookie and one soft drink, how many different combinations could you take? • 12 • How did you figure this out? • I thought: For each Cookie choice you have 3 options. • Cookie A + Coke Cookie A + Sprite Cookie A + Root-beer (3) Cookie B + Coke Cookie B + Sprite Cookie B + Root-beer (3) Cookie C + Coke Cookie C + Sprite Cookie C + Root-beer (3) Cookie D + Coke Cookie D + Sprite Cookie D + Root-beer (3) • 3 options (Drinks) X 4 Cookie choices = 12 Combinations.

  18. Problem #17 (this is another one NO one answered correctly!) • What is 2/3 of ¾ of 4/5 of 5/6? Give your answer as a simplified fraction. • 1/3 • Think about the order in which you want to work this problem. What should be done FIRST? • 4/5 X 5/6 = 20/30 = 2/3 • 2/3 X ¾ = 6/12 = ½ • ½ X 2/3 = 2/6 = 1/3 OR • 2/3 X ¾ X 4/5 X 5/6 (Cancelling out the 3’s, 4’s, and 5’s) = 2/6 = 1/3

  19. Problem #18 (4 of you got this correct!) • What is 5 2/3 more than 7 1/3? • 13 • What do you have to do here? Add fractions! • 5 + 7 = 12 • 2/3 + 1/3 = 1 • 12 + 1 = 13

  20. Problem #19 (NO ONE!!) • Your teacher has three red pens, two green pens, & four purple pens in a cup on her desk. If she grabs first one pen and then a second one without putting the first one back and without looking, what is the probability that they are both green? • 1/36 • What is the probability she will grab a green pen first? • 2 green in 9 pens, all with equal chances = 2/9. • How many pens are left? What is the probability she will grab a green pen the second time? 1 green in 8 pens (equal chances)= 1/8 • 2/9 X 1/8 = 2/72 = 1/36

  21. Problem #20 (nope!) • Give the result when you calculate 0.001 X 6000 X .25 + 1. Give your answer as a decimal numeral. • 2.5 • What is 0.001 X 6000 ? 6 (remember, you can move the decimal point) • What is 6 X .25 ? 1.5 (another way to say this is ¼ of 6 is?) • What is 1.5 + 1 ? 2.5

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