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Total 777 questions
At a certain time of day, a man 6 feet tall casts a shadow 4 feet in length. At the same time, a church steeple casts a shadow 28 feet in length. How high, in feet, is the church steeple?
- A. 30
- B. 32
- C. 42
- D. 48
- E. 56
Answer : C
Explanation:
Let x = height of steeple. Set up proportion:
4x = 6 ֳ— 28 = 168
x = 168 ֳ· 4 = 42 ft
On a road map, 1/4 inch represents 8 miles of actual road distance. The towns of Alton and Waverly are represented by pointג€™s 2
/
inches apart on the map.
What is the actual distance, in miles, between Alton and Waverly?
- A. 17
- B. 32
- C. 40
- D. 60
- E. 68
Answer : E
Explanation:
Since 1/4 in. represents 8 mi, 1 in. represents 4 ֳ— 8 = 32 mi., and 2 in. represents 2 ֳ— 32 = 64 mi., 1/8 in. represents 4 mi. Then 2
/
in. represents 64 + 4 = 68 mi.
Danny worked 40 hours and earned $6.30 per hour. His friend Erica earned $8.40 per hour at her job. How many hours would Erica have to work in order to equal
Dannyג€™s earnings for 40 hours?
- A. 20
- B. 25
- C. 30
- D. 252
- E. Not enough information is given.
Answer : C
Explanation:
Danny earned a total of 40($6.30) = $252. To find the number of hours Erica would take to earn $252, divide $252 by $8.40.
The gauge on a water tank shows that the tank is 1/3 full of water. In order to fill the tank, 16 gallons of water are added. How many gallons of water does the tank hold when full?
- A. 20
- B. 24
- C. 30
- D. 32
- E. 48
Answer : B
Explanation:
If the tank is 1/3 full, it is 2/3 empty. Let x = the capacity of the tank; (2/3)x = 16, so x = 16 ֳ· 2/3
2/3 = 16 ֳ— 3/2 = 24.
At a luncheon, 48 half-pints of fruit juice are served. What is the cost, at $3.50 per gallon, of these servings of fruit juice?
- A. $6.00
- B. $7.00
- C. $10.50
- D. $12.50
- E. $15.00
Answer : C
Explanation:
48 half-pints = 24 pints. Since 8 pt. = 1 gal., 24 pt. = 3 gal., 3($3.50) = $10.50.
A box of cereal is priced at x cents per box. A customer has a coupon for 15 cents off. If the store reduces prices by doubling the value of each coupon, how much, in cents, does the customer pay for the box of cereal?
- A. x גˆ’ 15
- B. x גˆ’ 30
- C. x + 15
- D. x + 30
- E. Not enough information is given.
Answer : B
Explanation:
Because the coupon has double value, the reduction is 2(.15) = 30 cents. The cost of the cereal is x גˆ’ 30 cents.
Ms. Klein bought 4 pounds of beef and 3 1/2 pounds of chicken for $13.98. If the beef cost $2.76 per pound, what was the cost of the chicken per pound?
- A. $0.72
- B. $0.80
- C. $0.84
- D. $0.87
- E. $0.92
Answer : C
Explanation:
The beef costs 4($2.76) = $11.04. The chicken costs $13.98 גˆ’ $11.04 = $2.94.
To find the cost per pound of chicken, divide $2.94 by 3 1/2 or by 7/2; 2.94 ֳ· 7/2 = 2.94 ֳ— 2/7 = 0.84.
The distance between two heavenly bodies is 63,150,000,000 miles. What is the number expressed in scientific notation?
- A. 631.5 ֳ— 10
- B. 63.15 ֳ— 10
- C. 6315 ֳ— 10
- D. 6.315 ֳ— 10
- E. 6.315 ֳ— 10 גˆ’10
Answer : 10D
Explanation:
To express a number in scientific notation, express it as the product of a number between 1 and 10 and a power of 10. In this case, the number between 1 and 10 is 6.315. In going from 6.315 to 63,150,000,000, you move the decimal point 10 places to the right. Each such move represents a multiplication by 10 and
63,150,000,000 = 6.315 ֳ— 10
.
Max needs to ship six identical packages, each weighing 3 lb. 12 oz. What is the total weight of the shipment?
- A. 19 lb. 2 oz.
- B. 22 lb. 5 oz.
- C. 22 lb. 8 oz.
- D. 24 lb. 12 oz.
- E. 25 lb. 2 oz.
Answer : C
Explanation:
Multiply 3 lb. 12. oz. by 6 to get 18 lb. 72 oz. Divide 72 oz. by the number of oz. in a pound (16) to get 4 lbs. with a remainder of 8 oz. Therefore, 18 lb. + 4 lb. 8 oz.
= 22 lb. 8 oz.
Josh needs to replace the boards on a 22-foot section of his fence. If the boards are 5 1/2 inches wide, how many boards should he buy to cover the distance?
- A. 4
- B. 33
- C. 48
- D. 66
- E. 121
Answer : C
Explanation:
22 feet = 264 inches; 264 ֳ· 5.5 = 48.
Which of the following is a graph of the inequality גˆ’2 ג‰₪ x < 4?
- A. Option A
- B. Option B
- C. Option C
- D. Option D
- E. Option E
Answer : D
Explanation:
Separate the two inequalities into two inequalities, x < 4 and גˆ’2 = x. Choice D is the only graph that represents the inequalities. There must be an open circle to represent that the 4 is not included and a shaded circle to represent that the גˆ’2 is included.
HOTSPOT -
A display of canned yams has a sign that reads ג€5 cans for $3ג€. At the same rate, how much would the store charge, to the nearest whole cent, for 8 cans? Mark your answer in the circles in the grid below.
Hot Area:
Answer :
Explanation:
4.8 or 4.80
Set up the proportion 5/3 = 8/x, where x is the cost of 8 cans of yams; 3 ֳ— 8 = 24, and 24 ֳ· 5 = $4.80.
A plastic pipe, 5 feet 9 inches long, is cut into three equal pieces. Assuming no waste when the cuts are made, what is the length of each piece?
- A. 1 ft. 6 in.
- B. 1 ft. 8 in.
- C. 1 ft. 9 in.
- D. 1 ft. 11 in.
- E. 2 ft.
Answer : D
Explanation:
5 ft. 9 in. = 69 inches. Divide by 3:
69 ֳ· 3 = 23 inches.
Convert feet to inches, 23 in. = 1 ft. 11 in.
The sum of three consecutive even integers is 90. What is the greatest number in the series?
- A. 26
- B. 28
- C. 30
- D. 32
- E. 34
Answer : D
Explanation:
The three numbers can be represented by x,
x + 2, and x + 4. Solve the equation:
x + x + 2 + x + 4 = 90
3x + 6 = 90
3x = 90 ג€" 6
3x = 84
x = 84/3
x = 28
The three numbers are 28, 30, 32. The question asks for the largest of these.
Chikita made three long-distance calls. According to her phone bill, the calls were 19 minutes, 24 minutes, and 8 minutes in length. If Chikita pays 9 cents per minute on all long-distance calls, how much was she billed for the three calls?
- A. $2.70
- B. $4.59
- C. $5.10
- D. $13.77
- E. $15.30
Answer : B
Explanation:
Add the times and multiply by 9 cents: 19 + 24 + 8 = 51 minutes; 51 ֳ— 0.09 = $4.59.
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