Question

1. Patios can be made by mixing cubic meters of cement, gravel, and stones in the ratio 9:4:6. How much gravel is needed to make 209 cubic meters of patio? (Hint: Use the ‘birds in the garden’ example to solve this one.)

a. 99

b. 50

c. 44

d. 66

2. The ratio of girls to boys is 2:1. If there are 3 boys, what is the number of girls?

a. 0

b. 1

c. 10

d. 6

3. If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192? (Hint: Use the ‘birds in the garden’ example to solve this one.)

a. 96

b. 54

c. 48

d. 50

4. If Tanya cleans a 1500-square foot building for a total of $107.00, what is the amount Tanya gets paid per square foot? (Hint: Which choice is the correct operation to get the right answer?)

a. 1500/107

b. 1393/107

c. 1393/1500

d. 107/1500

5. An aluminum bar 4 feet long weighs 24 pounds. What is the weight of a similar bar that is 3 feet 3 inches long?

a. 29.54 pounds

b. 3 pounds

c. 19.50 pounds

d. 78 pounds

6. A snail can move 5 inches in 6 minutes. At this rate, how many feet can the snail move in 48 hours?

a. 40

b. 3

c. 200

d. 11

7. If a real estate agent receives 11 percent of the selling price of each house sold, then what would the agent make if the house sells for $1,033, 000?

a. $113630

b. $155971

c. $1064

d. $9390909

8. Dan weighs 205 pounds but is only 5 feet 8 inches tall. Evan is 6 feet tall. How much would you expect Evan to weigh if they have the same height/weight ratio?

a. 153.75 pounds

b. 18 pounds

c. 217.06 pounds

d. 193.61 pounds

9. A certain ore contains 9 percent gold. How much ore (in tons) is needed to obtain 126 tons of gold?

a. 2631

b. 7142

c. 1400

d. 113

10. Scientists were studying bears by catching, tagging, and releasing 24 bears. A month later, the scientists come back and catch 4 bears, of which 2 are tagged. Assuming that the catch is representative, how many bears are there?

a. 48

b. 12

c. 8

d. 16

Answer 1

7 is 1. Patios can be made by mixing cubic meters of cement, gravel, and stones in the ratio 9:4:6. How much gravel is needed to make 209 cubic meters of patio? (Hint: Use the ‘birds in the garden’ example to solve this one.)

a. 99

b. 50

c. 44

d. 66

2. The ratio of girls to boys is 2:1. If there are 3 boys, what is the number of girls?

a. 0

b. 1

c. 10

d. 6

3. If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192? (Hint: Use the ‘birds in the garden’ example to solve this one.)

a. 96

b. 54

c. 48

d. 50

4. If Tanya cleans a 1500-square foot building for a total of $107.00, what is the amount Tanya gets paid per square foot? (Hint: Which choice is the correct operation to get the right answer?)

a. 1500/107

b. 1393/107

c. 1393/1500

d. 107/1500

5. An aluminum bar 4 feet long weighs 24 pounds. What is the weight of a similar bar that is 3 feet 3 inches long?

a. 29.54 pounds

b. 3 pounds

c. 19.50 pounds

d. 78 pounds

6. A snail can move 5 inches in 6 minutes. At this rate, how many feet can the snail move in 48 hours?

a. 40

b. 3

c. 200

d. 11

7. If a real estate agent receives 11 percent of the selling price of each house sold, then what would the agent make if the house sells for $1,033, 000?

a. $113630

b. $155971

c. $1064

d. $9390909

8. Dan weighs 205 pounds but is only 5 feet 8 inches tall. Evan is 6 feet tall. How much would you expect Evan to weigh if they have the same height/weight ratio?

a. 153.75 pounds

b. 18 pounds

c. 217.06 pounds

d. 193.61 pounds

9. A certain ore contains 9 percent gold. How much ore (in tons) is needed to obtain 126 tons of gold?

a. 2631

b. 7142

c. 1400

d. 113

10. Scientists were studying bears by catching, tagging, and releasing 24 bears. A month later, the scientists come back and catch 4 bears, of which 2 are tagged. Assuming that the catch is representative, how many bears are there?

a. 48

b. 12

c. 8

d. 16

7. Is A

Answer 2

Let's solve each of the problems one by one:

1. Patios can be made by mixing cubic meters of cement, gravel, and stones in the ratio 9:4:6. To find the amount of gravel needed to make 209 cubic meters of patio, we need to determine the fraction of the total volume that corresponds to gravel.

The total ratio of the mixture is 9 + 4 + 6 = 19. To find the fraction of gravel in the mixture, we divide the volume of gravel (4 cubic meters) by the total ratio:

Fraction of gravel = 4 / 19

To find the amount of gravel needed for 209 cubic meters of patio, we multiply the fraction of gravel by the total volume:

Gravel needed = (4 / 19) * 209

Calculating this, we find:
Gravel needed ≈ 44 cubic meters

Therefore, the answer is c. 44.

2. The ratio of girls to boys is 2:1. If there are 3 boys, we can determine the number of girls by multiplying the number of boys by the ratio:

Number of girls = 2 * 3 = 6

Therefore, the answer is d. 6.

3. If the ratio of grapes to walnuts to oranges is 6:6:12, and the total number of fruits is 192, we can calculate the number of grapes by multiplying the ratio by the total number of fruits and dividing by the sum of the ratio:

Number of grapes = (6 / (6+6+12)) * 192

Calculating this, we find:
Number of grapes = 48

Therefore, the answer is c. 48.