Tests

TEST #8: 23-May-2018

Here are the questions and answers from the third test.  As you take this, if you would like to help support what we are doing, we would welcome any donation that will go to support this program and get 4th and 5th graders even more excited with math.  Every $10 donation buys a calculator for 9 math geniuses.

 

QUESTIONS:

1. Pete has a job for the 10 weeks of summer break. He makes $9 per hour and works 30 hours each week. The government takes away 20% in taxes. How much does he end up with?

2. An elementary school student needs 45mg of Vitamin C per day. An orange has about 51 mg. How many oranges would you need to get all of your vitamin C for a year (a year has 365 days)?

3. What is the probability of rolling a six-sided die three times and: 1) get an even number on the first roll, 2) get a 5 or higher on the second roll, 3) get a 5 or lower on the third roll?

4. Nugget (our dog) has $20 to invest today and in 7 years he wants to buy $35 worth of bones. What interest rate would he need?

5. Adam invests $2000 at 6% interest for 40 years. Pete invests $1000 at 8% interest for 40 years. At the end of 40 years, who has more and how much more?

6. How many ways can you arrange the letters in the word “ADDED”?

 

ANSWERS:

1. $2,160  (54% of students got this correct)

2. 322 oranges (75%)

3. 13.9%  (33%)

4. 8.3%  (46%)

5. Pete has $1,153 more  (42%)

6. 20  (13%)

 

EXPLANATION VIDEO

 

 

TEST #7: 18-Apr-2018

QUESTIONS:

1. How long did it take my family to get to Miami for spring break? It’s 800 miles and I average 70 mph. Each time I stop for gas that takes 10 minutes, and my car can go 250 miles between gas fill-ups (we started with a full tank of gas).

2. On license plates in North Carolina, the first 3 characters are letters, and the last 4 characters are numbers. How many unique license plates can the state have?

3. Both Adam and Pete can get an 8% investment return. Adam invests $1000 when he is 22 and gets the money when he’s 60. Pete waits to invest when he is 30. How much would Pete need to invest to have the same amount as Adam when he turns 60?

4. The equation for a band’s awesomeness is A = GS3 + HC x L2, where A=Awesomeness, GS=Guitar Solos, HC=Hard Coreness, and L=Loudness. Which band is awesomest and what is their score?

5. The probability of rolling a 9 or higher with two dice is 27.8%.
A–what is the probability of a 9 or higher if your first role was a 6?
B–what is the probability of a 9 or higher if your first role was a 2?

6. A sphere’s volume is V = 4/3 x pi x radius^3 and a sphere’s surface area is SA = 4 x pi x radius^2 (pi is 3.14159). If a sphere’s surface area is 600, what is its volume?

 

 

ANSWERS:

1.  11.93 hours or 716 minutes (23% of students got this correct)

2. 175,760,000 (15%)

3.  $1851 (38%)

4. Iron Maiden–1214 (58%)

5.  A 67%, B 0% (15%)

6.  1382  (12%)

 

EXPLANATION VIDEO

 

TEST #6: 21-Mar-2018

QUESTIONS:

I’M GOING TO SEE METALLICA!!! The concert ticket costs $150 and parking is $20. Plus it’s 90 miles to Raleigh for the concert. My car gets 35 miles to the gallon and gas costs $2.50 per gallon. What is my all in cost to go to (and get back from) the concert? Answer to two decimals.

One–Adam takes $10 from his first day of work at age 22, and he invests it at 8% until he retires at age 65. How much does that $10 grow to?

Master of Puppets–S = 8900 – 4575 x V + 0.778 x V^2 + 0.061 x V^3 is the stress on an airplane wing based on its speed. S is stress and V is the plane’s velocity. If the plane goes 500 mph what is the stress? FYI, the wing snaps off if stress exceeds 10,000,000.

For Whom the Bell Tolls–I need $200 to go to a rockin’ concert two-and-a-half years from now. I have $170 right now. What interest rate do I need to have the money in two-and-a-half years? Answer to one decimal.

And Justice for All–I have a huge spherical bowl that is 6 inches in radius. I also have a cup that is square on the bottom. The cup’s bottom is 2 inches long and 2 inches wide; the cup is 4 inches tall. How many cups of water will it take to fill the bowl? Volume of cup: V = Long x Wide x Tall. Volume of sphere is: V = 4/3 x pi x radius^3 (pi is 3.14159).

Fade to Black–A room has 10 kids in it–2 pairs of brothers and 3 pairs of sisters. If you picked two kids at random, what is the probability they would be sisters? Answer to one decimal.

 

ANSWERS:

Metallica  $182.86 (41% of students got question correct)

One  $273.67 (52%)

Master of Puppets  5,540,900 (21%)

For Whom the Bell Tolls  6.7% (24%)

And Justice for All  56.5 cups  (17%)

Fade to Black  6.7%  (3%)

 

EXPLANATION VIDEO

 

TEST #5: 21-Feb-2018

QUESTIONS:

1. VEGAS BABY!!! I want to lose money so I play roulette. There is a 5% chance I win $4 and a 35% chance I win $1. Otherwise I lose $1. If I played 1000 games, what would I expect to win or lose?

2. I = $20,000 + E x $2,000 + S x $12,000 is an equation that estimates your income. I is income, E is total years of education, and S is years of STEM classes taken in college. What would you expect to make with 17 years of education and 4 years of college STEM classes?

3. I can normally run at 7 mph. However if I listen to heavy metal, I can run 25% faster. How far can I run if I play Welcome to the Jungle (song is 5 minutes long)? (answer should be at least two decimals)

4. I have $10,000 and I want it to triple in 15 years. What interest rate would I need? (answer should be at least one decimal)

5. Adam and Peter both have $10,000 for college. They both invest that money for 20 years. If Adam invests it at 8% and Peter invests it at 9%, how much more will Peter have after 20 years?

6. There are six runners in a race (Amy, Bo, Cindy, Dave, Elle, and Fred). If all you care about are the first three finishers, how many different combinations of 1st, 2nd, and 3rd place are there?

 

ANSWERS:

1.  Lose $50 (11% of students got this correct)

2.  $102,000 (56%)

3.  0.73 miles (17%)

4.  7.6% (19%)

5.  $9,435 (39%)

6.  120 (17%)

 

EXPLANATION VIDEO

 

TEST #4: 25-Jan-2018

QUESTIONS

Q1:  BAD DECISIONS. How much would you spend on cigarettes during your lifetime if you started smoking at 18, smoked 2 packs a day until you’re 70, and each pack costs $5.25.

Q2:  If you have $100 and you earn 2% interest annually, how much will you have after 5 years?

Q3:  My electric bill is calculated with the formula: B = 15 + 0.1 E, where B is the amount of the bill, and E is the electricity I used. What is my bill if I used 1200 kilowatthours (E = 1200)?

Q4:  How many left-handed girls with dark hair live in the US? There are 330 million people in US, 51% of Americans are girls, 9% of Americans are left handed, and 68% of Americans have dark hair.

Q5:  The large square as a side of 12 inches. The smaller square has a side of 2 inches. How many smaller squares could fit in the larger square?

Q6:  I can invest money and get an 9% return annually. How much do I need to start with if after 8 years I want $6,000?

 

ANSWERS

Q1: $199,290

Q2: $110.41

Q3:  $135

Q4: 10,299,960

Q5:  36

Q6: $3,011.20

EXPLANATION VIDEO

Our next test will be on February 21, 2018, at Summerfield Elementary School at 3:15pm.  Please register here.

 

 

TEST #3: 13-Dec-2017

Here are the questions and answers from the third test.  As you take this, if you would like to help support what we are doing, we would welcome any donation that will go to support this program and get 4th and 5th graders even more excited with math.

 

QUESTIONS

Q1: The average annual salary for someone with a math degree is $63,000 while it’s $36,000 for someone without a math degree. How much more will someone with a math degree make over 40 years?

Q2: The formula F = 1.8C + 32 converts Celcius to Fahrenheit. If water boils at 100C what is it in Fahrenheit?

Q3: I paid for a PS4 ($400) and virtual reality set ($360) with my credit card which charges 20% interest. If I don’t make a payment, how much will I owe in 10 years?

Q4:  VIVA LAS VEGAS!!! You have a 48% chance of winning at Blackjack. If you bet $1 each time (if you win you win $1, if you lose you lose $1), how much would you expect to win or lose after 100 games?

Q5: Over 2 years my investment grew from $200,000 to $250,000. What is the compounded annual return on that?

Q6: A cancer drug kills 30% of the cancer cells (70% survive) each month. What percentage of cancer cells would still survive after a year of treatment?

 

ANSWERS

Q1: $1,080,000

Q2: 212F

Q3:  $4,706

Q4: Lose $4

Q5:  11.8%

Q6: 1.38%

EXPLANATION VIDEO

Our next test will be on January 17, 2018, at Summerfield Elementary School at 3:15pm.  Please register here.

 

 

TEST #2: 15-Nov-2017

Here are the questions and answers from the seconds test.  As you take this, if you would like to help support what we are doing, we would welcome any donation that will go to support this program and get 4th and 5th graders even more excited with math.

 

QUESTIONS

Q1: A McDonald’s extra value meal has 1180 calories. If you run hard, you can burn 700 calories per hour. How many hours of running would it take to burn off that meal?

Q2: A graphing calculator costs $80. You already have $22 saved, and your weekly allowance is $4. How long until you have enough to buy it?

Q3: What is the probability of flipping a coin 4 times in a row and each flip coming up tails?

Q4: If you invested $100 and earned 6% interest annually, how much would you have after 10 years?

Q5: How many different ways can you arrange the letters of the word M-A-T-H?

Q6: A bacteria colony can triple in size (increase 200%) in 4 days. If it is currently is 1 gram, how big will it be in 20 days?

 

ANSWERS

Q1: 1.68 hours

Q2: 14.5 weeks 

Q3:  6.3%

Q4: $179.08

Q5:  24

Q6: 243 grams

 

EXPLANATION VIDEO

Our next test will be on December 13, 2017, at Summerfield Elementary School at 3:15pm.  Please register here.

 

TEST #1: 25-Oct-2017

Here are the questions and answers from the first test.  As you take this, if you would like to help support what we are doing, we would welcome any donation that will go to support this program and get 4th and 5th graders even more excited with math.

 

QUESTIONS

Q1: Solve for A (all answers).  A^2 – 8 = 17

Q2: What is the probability of rolling 2 dice, and getting a 5 or higher on both rolls?

Q3: If you invested $500 of prize money and earned 8% interest annually, how much would you have after 7 years?

Q4: A soda has 250 calories.  Your body converts 3500 calories into a pound of fat.  If you drank a soda everyday for a year, how much extra fat would you have?

Q5: What is the area of the shaded portion?

Q6: The ratio of sunny days to cloudy days is 3:2.  How many sunny days are there in a year?

 

ANSWERS

Q1: 5 AND -5

Q2: 1/9 OR 11%

Q3:  $857

Q4: 26.07 pounds

Q5:  21.46

Q6: 219 days

 

EXPLANATION VIDEO