Math Time Trials

Time Trial 1

1. A

All real numbers multiplied by an even number will always yield an even product. The sum of two of these even products will always be positive. 2a+4b shows this pattern.

2. C

Since the company made 92% of the revenue from the previous year, multiplying 0.92 and $6,000,000 will produce $5,520,000.

3. A

After plugging in x and y into both expressions, the first expression will simplify to   -5, and the second expression will simply to 1. The product of -5 and 1 is -5.

4. C

8.2 divided by 1.3 is 6.3. Using the laws of exponents, 104 divided by 109 is 10-5. Multiplying 6.3 and 10-5 will produce 6.3 x 10-5.

5. E

Since 770 is evenly divisible by 14, 35, 55, and 70, but not divisible by 94, 94 could not be one of the denominators.

6. B

Since 15 minutes is a quarter of an hour, 6 hours and 15 minutes is equal to 6.25 hours. Because rate = distance/time, 450 miles divided by 6.25 hours is 72 miles per hour.

7. B

First, find the product of 92% and 5, and from that, subtract the sum of 99%, 90%, 87%, and 88% to get the 5th exam score, which is 96%.

8. B

9. C

Since all items cost 75% of their original price, 75% of $175 is $131.25. Another 15% discount is applied, meaning that all items will cost 85% of the already discounted price, so 85% of $131.25 is $111.56.

10. C

Plugging in the given data into their respective parts in the given formula, the equation becomes A = 30,000(1 + 0.028)5. After simplifying what is inside the parentheses, the equation becomes  A = 30,000(1.148). The product of $30,000 and 1.148 is $34,441.88.

11. B

12. D

The amount of clay needed for 18 pots can be found by multiplying ¼ and 18, which produces 4½ pounds.

 

13. A

The mean, x, is found by adding up 2, 2, 9, 4, 3, 5, 1, 8, and 0, and dividing the sum by 9, which is 3.8. The median, y, is found by finding the middle number of the data set, which is 3. Since the mean is greater than the median, x > y.

14. A

With the given information, the expression for the number of items sold by company A and company B are 80t + 60d and 75t + 50d, respectively. The difference in the companies is found by subtracting 75t + 50d from 80t + 60d, which is 5t +10d.

15. D

The number of combinations of pizza using only 1 kind of each ingredient is found by multiplying the number of kinds of ingredients. Multiplying 3, 2, 5, and 4 will get 120 combinations of pizza.