$100 $200 $300 $400 $500 $200 $300 $400 $500 Ratios and Unit Rates Percent of Change Problem Solving Proportions Probability

Ratios and Unit Rates for $100 Write a ratio to represent the number of students who got A’s to the number of students who did not: 6 students out of 16 total students got A’s on the Math Test

Answer Ratio: (Favorable:unfavorable) 6:10 = 3:5 Back

Ratios and Unit Rates for $ m/min = how many m/day?

Answer 342 m/min * 60 min/hr * 24hr/day = 492,480 m/min Back

Ratios and Unit Rates for $300 A horse is running 10m/s. How many km/hr is he running?

Answer 10m/s * 60s/1min * 60min/1hr * 1km/1000m = 36,000km/1000hr = 36km/hr Back

Ratios and Unit Rates for $400 What is the difference between probability and odds?

Answer Probability = (favorable)/(total) Odds = (favorable)/(unfavorable) Back

Ratios and Unit Rates for $500 The ratio of boys to girls in a classroom is 3:4. If there are 12 girls in the classroom, how many total students are in the classroom?

Answer 3/4 = x/12 4x = 36 x = 9 boys So, 9 boys + 12 girls = 21 total students Back

Percent of Change for $100 What is the percent change on a pair of shoes that originally cost $45, but are on sale for $36?

Answer (Original – New) / Original * 100 ($45 - $36)/ $45 * 100 =($9)/$45 * 100 =.20 * 100 = 20% decrease Back

Percent of Change for $200 After buying a car for $12,500 a dealer sells the car for $15,750. What is the percent change in the price of the car?

Answer (Original – New) / Original * 100 (12,500 – 15,750)/ 12,500 *100 = (-3250)/12500 * 100 = * 100 = -26% = 26% Increase Back

Percent of Change for $300 What is the markup on an ipod if the store buys it for $130 and then increases the price by 53.1%?

Answer Markup: 130 * 0.531= $69.03 Back

Percent of Change for $400 A store buys a pair of shoes for $12 and then marks them up by 427%. What is the final selling price?

Answer Back Markup: 12*4.27 = $51.24 Selling price = $12 + $51.24 = $63.24

Percent of Change for $500 A store decides to have a sale and discounts everything in the store by 35%. If an item originally costs $273, what is the amount of discount and the final selling price?

Answer Back Discount: $273 * 0.35 = $95.55 Selling Price = $273 - $95.55 = $177.45

Proportions for $100 Solve for x: 5 = x_ 8 20

Answer 5/8 = x/20 8x = 100 x = 12.5 Back

Proportions for $200 Solve for x: (X-7) = _6_ 5 15

Answer (X-7)/5 = 6/15 5*6 = 15(x-7) 30 = 15x – = 15x 9 = x Back

Proportions for $300 Solve for x: 5 = 12_ (x-3) (x+3)

Answer 5/(x-3) = 12/(x+3) 5(x+3) = 12(x-3) 5x + 15 = 12x – = 7x – = 7x 7.29 = x Back

Proportions for $400 Given that the triangles below are similar, solve for x and y 10m 14m Y 6m 10m X

Answer Set up two proportions: 1)6m/10m = X/14 10x = 84 x = 8.4m 2) 6m/10m = 10/y 100 = 6y = y Back

Proportions for $500 Find the height of the tree given that the boy is 4 feet tall 2.5 ft 10 ft

Answer Set up a proportion: 2.5ft/10ft = 4/x Cross Multiply 40 =2.5x X = 16 ft tall Back

Probability for $100 If I roll a dice one time, what is the probability of rolling a one or a three? i.e. P(1 or 3) = ?

Answer Number of Items in Sample Space = 6 Sample Space { } Probability = 2/6 or 1/3 Back

Probability for $200 If I flip a coin 4 times, what is the probability of the same face showing up all 4 times? i.e. Either H-H-H-H or T-T-T-T

Answer Elements in Sample Space = 2*2*2*2 = 16 P(H-H-H-H) = 1/16 P(T-T-T-T) = 1/16 P(H-H-H-H OR T-T-T-T) = (1/16) + (1/16) = 2/16= 1/8 Back

Probability for $300 Suppose you choose an m&m from a bag containing 5 blue m&m’s, 4 red m&m’s and 7 yellow m&m’s, and the one you pick is blue. You then pick another m&m. Find P(yellow)

Answer P(yellow) Number of m&m’s = = 16 After you pick one blue one there are 15 m&ms left: 4 blues, 4 reds, and 7 yellows. So, P(yellow) = 7/15 Back

Probability for $400 Draw the sample space (list all possible outcomes) for the following event: You flip a coin, and then spin the spinner shown below.

Answer Back H-O H-P H-Y H-G H-R T-O T-P T-Y T-G T-R { }

Probability for $500 I spin the spinner shown below, and then roll a dice. Find P(Red and 2)

Answer Number of elements in sample space: 5 * 6 = 30 P(Red) = 1/5 P(2) = 1/6 P(Red and 2) = (1/5) * (1/6) = 1/30 (There is only one possible outcome out of the 30 that satisfies the conditions of the event) Back

Problem Solving for $100 Find three consecutive integers whose sum is 99

Answer Let x = the smallest of the three integers, then: x + (x+1) + (x+2) = 99 3x + 3 = 99 3x = 96 x = 32, x+1 = 33, x+2 = 34 Back

Problem Solving for $200 Find four consecutive EVEN integers whose sum is 108.

Answer Let x = the smallest of the four integers, then: x + (x+2) + (x+4) + (x+6) = 108 4x + 12 = 108 4x = 96 x = 24, x+2 = 26, x+4 = 28, x+6=30 Back

Problem Solving for $300 If Thuy puts $500 into a bank account which pays 3.5% interest every month, how much money will she have after 6 months?

Answer Back Time (Months) Starting Amount RateAmount of Increase Final Amount 1$ $17.50$ $18.11$ $18.75$ $19.40$ $20.08$ $20.78$614.62

Problem Solving for $400 Andrew has 5 shirts, 3 pants, and 2 pairs of shoes. How many different combinations of outfits of 1 shirt, 1 pair of pants and 1 pair of shoes are possible?

Answer Ways to solve: *Make a table of all possible combinations *Do 5*3*2 = 30 possible combinations. Back

Problem Solving for $500 The population of HCMC was approximately 6,117,251 in The annual growth rate is approximately 3%. Assuming these figures are correct, what will the population of HCMC be at the end of 2011?

Answer Back Time (year) Starting Amount RateAmount of Increase Final Amount ,749,151