A) 3,750 students B) 2,500 students C) 1,250 students D) 3,125 students
Solution:
Number of students live on campus = (5/8)*5000 = 3125 students
Answer: (D) 3125 students
2. / Solve for the unknown:A) 24 B) 27 C) 18 D) 12
Solution:
OR
2/30 = 1.8/r
Cross multiply
2r = 1.8*30
r = (1.8*30)/2 = 27
Answer: (B) 27
3. / Find the best buy on cashews (1 lb is 16 oz).A) 1 lb for $6.09 B) 10 oz for $4.59 C) 1 lb 4 oz for $7.09 D) 12 oz for $5.09
Solution:
1 lb for $6.09 => price of 1 oz = 6.09/16 = $0.380625
10 oz for $4.59 => price of 1 oz = 4.59/10 = $0.459
1 lb 4 oz for $7.09=> price of 1 oz = 7.09/20 = $0.3545
12 oz for $5.09=> price of 1 oz = 5.09/12 = $0.4241
Best buy is 1 lb 4 oz for $7.09
Answer: (C) 1 lb 4 oz for $7.09
4. / A baseball team wins 11 of its 25 games with no ties. Write the ratio of wins to losses.A) B) C) D)
Number of losses = 25 – 11 = 14
Ratio of wins to losses = 11/14
Answer: (A)
5. / Talon reads 1,000 words in 5 minutes, and Samantha reads 650 words in 2 minutes. Who is the faster reader?Talon’s rate = 1000/5 = 200 words per minute
Samantha’s rate = 650/2 = 325 words per minute
Answer: Samantha is faster reader.
6. / Solve for the unknown:Solution:
Cross multiply
8*39 = 52m
=> m = (8*39)/52 = 6
Answer: 6
7. / Write the ratio of to 6 in simplest form.Solution:
Answer:
8. / On the blueprint of Lauren's new office building, the scale is 9 in. equals 8 ft. What will be the actual length of Lauren's office if it measures 6 in. long on the blueprint? Give your answer in inches.Solution:
Let the actual length be x
9/8 = 6/x
Cross multiply
9x = 48
x = 48/9 = 16/3 feet = 16/3*12 = 64 inches
Answer: 64 inches
9. / A state sales tax rate is 4.8%. If the tax on a purchase was $23.76, what was the price of the purchase?A) $595 B) $395 C) $695 D) $495
Solution:
Let the price of purchase be x
4.8% of x = 23.76
0.048x = 23.76
=> x = 23.76/0.048 = 495
Answer: (D) $495
10. / Write as a percent.A) 3.75% B) 0.375% C) 37.5% D) 375%
Solution:
3/8*100 = 75/2 = 37.5%
Answer: (C) 37.5%
11. / Ms. Jefferson has been given a loan of $20,000 for 1 year. If the interest charged is $800, what is the interest rate on the loan?A) 5.5% B) 5% C) 4% D) 4.5%
Solution:
Interest rate = (800*100)/20000 = 4
Rate = 4%
Answer: (C) 4%
12. / A saleswoman is working on a 6% commission basis. If she wants to make $2,400 in one month, how much must she sell?A) $40,000 B) $400,000 C) $80,000 D) $20,000
Solution:
0.06x = 2400
x = 2400/0.06 = 40,000
Answer: (A) $40,000
13. / If $7,800 is deposited into an account paying 6% interest compounded annually (at the end of each year), how much money is in the account after 2 years?A) $7,332.00 B) $8,764.08 C) $8,268.00 D) $9,289.92
Solution:
Amount = 7800*(1 + 0.06)^2 = $8,764.08
Answer: (B) $8,764.08
14. / Steve was charged $75.00 interest for 1 month on a $3,000 credit card balance. What was the monthly interest rate? Give you answer as a percentage, round to the nearest tenth of a percent.Solution:
Monthly interest rate = 75/3000 = 0.025
Monthly interest rate = 2.5%
15. / 11% of what number is 132?Solution:
Let the number be x
11% of x = 132
0.11x = 132
x = 132/0.11 = 1200
Answer: 1200
16. / If $5,600 is deposited into an account paying 5.325% interest compounded annually (at the end of each year), how much money is in the account after 9 years? Round your answer to the nearest cent.Solution:
Amount after 9 years = 5600*(1 + 0.05325)^9 = 8932.46
Answer: $8932.46
17. / Find the missing length of the right triangle.A) 52 B) 54 C) 53 D) 51
Solution:
Let the missing side be x
x^2 = 20^2 + 48^2 = 2704
=> x = 52
Answer: (A) 52
18. / Identify the hypotenuse of the triangle by giving its letter.Answer: r
19. / Which two triangles are similar?Answer: (b) and (c)
20. / Choose the most reasonable measure.The thickness of a piece of cardboard.A) 0.3 cm B) 0.03 km C) 3 cm
Answer: (A) 0.3 cm
21. / Simplify.9 h 212 min
A) 14 h 42 min B) 12 h 32 min C) 12 h 52 min D) 13 h 32 min
Solution:
212 min = 3 h 32 min
9 h 212 min = 9 h + 3 h 32 min = 12 h 32 min
Answer: (B) 12 h 32 min
22. / Identify the angle as acute, right, obtuse, or straight.A) Obtuse B) Straight C) Right D) Acute
Answer: (D) Acute
23. / Find the missing length of the right triangle.A) 9 B) 8 C) 6 D) 7
Solution:
X^2 = 17^2 – 15^2 = 289 – 225 = 64
=> X = 8
Answer: (B)
24. / Complete the statement:is between ______.
A) 7 and 8 B) 6 and 7 C) 4 and 5 D) 5 and 6
Answer: (C) 4 and 5
25. / Add.Make sure your answer is in simplest form.
Solution:
5 lb + 7 lb = 12 lb
9oz + 11 oz = 20 oz
12 lb 20 oz = 13 lb 4 oz (since 1 lb = 16 oz)
Answer: 13 lb 4 oz