3. Are You Smarter Than a 7 th Grader?

4. Are You Smarter Than a ? th Grader? 1,000,000 5th Level Topic 1 5th Level Topic 2 4th Level Topic 3 4th Level Topic 4 3rd Level Topic 5 3rd Level Topic 6 2nd Level Topic 7 2nd Level Topic 8 1st Level Topic 9 1st Level Topic 10 500,000 300,000 175,000 100,000 50,000 25,000 10,000 5,000 2,000 1,000

5. 5th Level Topic 1 Question / In a group of 20 students, there are 11 girls. What is the ratio of boys to girls?

6. 5th Level Topic 1 Answer / There are 9 boys (20 students – 11 girls) The ratio of boys (9) to girls (11) = 9:11

7. 5th Level Topic 2 Question / The manufacturer’s price for a tent is $28.50. A camping store that bought the tents sells them for $40.76. Approximately what was the percent of increase in the price of the tents?

8. 5th Level Topic 2 Answer / Step 1: Find the amount of change / (40.76-28.50 = 12.26) / Step 2: Calculate the amount of increase = 12.26 (change)/ 28.50 (original) = 43% / Answer: There was a 43% increase in the price of the tents. / Step 1: Find the amount of change / (40.76-28.50 = 12.26) / Step 2: Calculate the amount of increase = 12.26 (change)/ 28.50 (original) = 43% / Answer: There was a 43% increase in the price of the tents.

9. 4th Level Topic 3 Question / A truck has traveled 75 miles in 1.5 hours of driving. At the same speed, which proportion can be used to determine how long, T (in hours), it would take the truck to travel 325 miles? How long will it take the truck?

10. 4th Level Topic 3 Answer 75/1.5 = 325/T Proportion: 75 miles/1.5 hours = 325 miles/T hours 75t = 487.5 T = 6.5 hours Other proportions that will work = 325/75 =T/1.5 or 75/325 = 1.5/T

11. 4th Level Topic 4 Question / Larry spent $34.00 for 12 gallons of gasoline. At the same price per gallon, how many gallons could he buy for $51.00?

12. 4th Level Topic 4 Answer / 34dollars/12gal. = 51dollars/x gallons / 34x = 612 / 612/34 = 18 / Answer: He can buy 18 gallons of gasoline for $51.00. / 34dollars/12gal. = 51dollars/x gallons / 34x = 612 / 612/34 = 18 / Answer: He can buy 18 gallons of gasoline for $51.00.

13. 3rd Level Topic 5 Question

14. 3rd Level Topic 5 Answer 2.5/12 = x/18 12x=45 45/12 = 3.75 cups Answer is 3 ¾ cups of sugar needed for 18 guests

15. 3rd Level Topic 6 Question / One out of every three M&Ms is red. If a bag contains approximately 65 M&Ms, how many would you expect to red?

16. 3rd Level Topic 6 Answer 1/3 = x/65 3x = 65 65/3 = 21.6 Answer is approximately 22 red M&Ms

17. 2nd Level Topic 7 Question

18. 2nd Level Topic 7 Answer Stacy = 25/30 = 83.3 = 83 and 1/3 % Devon = 75/100 = 75% Zeb = 24 correct/30 total(24 correct + 6 incorrect)= 24/30 =.8 = 80% Answer = 1. Stacey (83.3%) 2. Zeb (80%) 3. Devon (75%)

19. 2nd Level Topic 8 Question

20. 2nd Level Topic 8 Answer 4 girls/9 students = x/36 9x = 144x = 16 girls 5 boys/9 students = x/369x = 180x = 20 boys Answer: There are 16 girls in the choir There are 20 boys in the choir 20/36 boys = 55.5%

21. 1st Level Topic 9 Question

22. 1st Level Topic 9 Answer Step 1: To calculate 15% off, multiplying total by 85%= 179.00 x.85 = 152.15 Step 2: To calculate 7% sales tax, multiply new total by 7% = 152.15 x.07 = 10.65 Step 3: Add tax total to discount price of shoe = 152.15 + 10.65 = $162.80 Answer = You will pay $162.80 for the shoes. Would someone really pay this much for a pair of shoes???

23. 1st Level Topic 10 Question / Is the percent of decrease from 60 to 45 the same percent of increase / from 45 to 60? Why or why not? / Is the percent of decrease from 60 to 45 the same percent of increase / from 45 to 60? Why or why not?

24. 1st Level Topic 10 Answer Step 1: Find the amount of decrease = change over original = 60-45 = 15(change)/60 (original) = ¼ = 25% decrease Step 2: Find the amount of increase = change over original = 60 – 45 = 15 (change)/ 45 (original) = 1/3 = 33.3% increase Answer: No the percents of increase and decrease are not the same. Since percents of change are calculated by dividing the amount of change in the numbers(subtracting) by the original number, the percents are different. Although the changes are the same, the original number changes.

25. Million Dollar Question Grade Level Topic 11

26. 1,000,000 Answer / Step 1: Multiply the number of boxes / By 250 (5 x 250 = 1250 nails) / Step 2: Set up a proportion = / 300nails/1min = 1250 nails/x min = / Step 3: Solve the proportion = / 300x = 1250 = 1250/300 = 4.1666 / Answer = It will take the machine a little over / 4 minutes to fill 5 boxes with 250 nails in each box / Step 1: Multiply the number of boxes / By 250 (5 x 250 = 1250 nails) / Step 2: Set up a proportion = / 300nails/1min = 1250 nails/x min = / Step 3: Solve the proportion = / 300x = 1250 = 1250/300 = 4.1666 / Answer = It will take the machine a little over / 4 minutes to fill 5 boxes with 250 nails in each box

27. Thanks for Playing / Are you smarter than the average / 7 th grader??? / Are you smarter than the average / 7 th grader???