|
| 1. A coin bank contains 22 coins in dimes and quarters. The coins have a total value of $4.75. Find the number of dimes and the number of quarters in the bank. |
| a) |
5 dimes; 17 quarters |
b) |
6 dimes; 16 quarters |
c) |
7 dimes, 15 quarters |
d) |
8 dimes, 17 quarters |
|
| 2. A butcher combines 100 lbs. of hamburger which cost $1.61 per pound with 60 lbs. of hamburger which cost $3.45 per pound. Find the selling price of the hamburger mixture. |
| a) |
$2.40/lb. |
b) |
$2.30/lb. |
c) |
$2.50/lb. |
d) |
$2.60/lb. |
|
| 3. The sum of 10 and three consecutive integers is equal to four times the smallest of the integers. Find the smallest integer. |
| a) |
14 |
b) |
15 |
c) |
16 |
d) |
13 |
|
| 4. An investment of $5,000 is made at an annual simple interest rate of 9.2%. How much additional money must be invested at an annual simple interest rate of 15% so that the total interest earned is 11% of the total investment? |
| a) |
$2,250 |
b) |
$2,260 |
c) |
$2,360 |
d) |
$3,340 |
|
| 5. A jogger ran a distance at a speed of 8 mph and returned the same distance running at a speed of 6 mph. Find the total distance that the jogger ran if the total time running was one hour forty-five minutes. |
| a) |
14 mi. |
b) |
11 mi. |
c) |
17 mi. |
d) |
12 mi. |
|
| 6. A child's piggy bank contains dimes, quarters and nickels. There are twice as many dimes as quarters and twice as many quarters as nickels in the bank. The total value of all the coins is $4.75. How many dimes are in the bank? |
| a) |
25 |
b) |
23 |
c) |
20 |
d) |
18 |
|
| 7. An investment of $4,500 is made at an annual simple interest rate of 9.25%. How much additional money must be invested at an annual simple interest rate of 13.5% so that the total interest earned is 12% of the total investment? |
| a) |
$8,260 |
b) |
$8,360 |
c) |
$8,240 |
d) |
$8,250 |
|
| 8. The sum of three consecutive integers is seventy-eight. Find the integers. |
| a) |
25, 26 and 27 |
b) |
22, 23 and 24 |
c) |
23, 24 and 25 |
d) |
21, 22 and 23 |
|
| 9. A cyclist traveling at 16 mph overtakes a long distance runner who, running at 8 mph, had a 1.5 hour head start. How far from the starting point does the cyclist overtake the runner? |
| a) |
22 mi. |
b) |
24 mi. |
c) |
21 mi. |
d) |
20 mi. |
|
| 10. A stamp collection consists of 3 cent, 8 cent and 13 cent stamps. The number of 8 cent stamps is three less than twice the number of 3 cent stamps. The number of 13 cent stamps is twice the number of 8 cent stamps. The total value of all the stamps is $2.53. Find the number of 13 cent stamps in the collection. |
| a) |
13 stamps |
b) |
16 stamps |
c) |
14 stamps |
d) |
15 stamps |
|
| 11. The sum of two integers is twenty. The difference between three times the smaller integer and four is one more than twice the larger integer. Find the integers. |
| a) |
7 and 9 |
b) |
8 and 10 |
c) |
11 and 13 |
d) |
9 and 11 |
|
| 12. Fifty liters of pure maple syrup which cost $9.50 per liter is mixed with imitation maple syrup which cost $4.00 per liter. How much imitation maple syrup is needed to make a mixture to sell for $5.00 per liter? |
| a) |
225 L |
b) |
220 L |
c) |
230 L |
d) |
240 L |
|
| 13. An investment of $10,800 is deposited into two simple interest accounts. On one account the annual simple interest rate is 11.2%. On the other, the annual simple interest rate is 14%. How much should be invested in each account so that the interest earned by each account is the same? |
| a) |
$6,000 @ 12%; $5,000 @ 12% |
b) |
$6,000 @ 11.2%; $4,800 @ 14 % |
c) |
$7,000 @ 13%; $5,200 @ 13% |
d) |
$8,000 @ 12.5%; $4,400 @ 15% |
|
| 14. A clothing store uses twice as many five-dollar bills in conducting its daily business as ten-dollar bills. $2,500 was obtained in five- and ten-dollar bills for the day's business. How many ten-dollar bills were obtained? |
| a) |
135 ten-dollar bills |
b) |
105 ten-dollar bills |
c) |
95 ten-dollar bills |
d) |
125 ten-dollar bills |
|
| 15. An investment advisor invested $18,000 in two accounts. One investment earned 17.2% annual simple interest while the other investment lost 4.7%. The total earnings from both investments were $1,782. Find the amount invested at 17.2%. |
| a) |
$13,000 |
b) |
$12,000 |
c) |
$24,000 |
d) |
$18,000 |
|
| 16. Two planes start from the same point and fly in opposite directions. The first plane is flying 50 mph slower than the second plane. In 2.5 hours the planes are 1,400 mi. apart. Find the rate of each plane. |
| a) |
1st plane: 265 mph; 2nd plane: 310 mph |
b) |
1st plane: 215 mph; 2nd plane: 265 mph |
c) |
1st plane: 255 mph; 2nd plane: 305 mph |
d) |
1st plane: 306 mph; 2nd plane: 365 mph |
|
| 17. One integer is eight less than another integer. The sum of the two integers is forty. Find the integers. |
| a) |
24 and 16 |
b) |
18 and 26 |
c) |
20 and 28 |
d) |
26 and 32 |
|
18. A speeding car going 80 mph has a one-half hour head start on a helicopter trying to overtake the car. The helicopter is traveling at 130 mph. How far from the starting point does the helicopter overtake the car?
|
| a) |
114 mi. |
b) |
124 mi. |
c) |
134 mi. |
d) |
104 mi. |
|
| 19. Cranberry juice which cost $4.60 per gallon was mixed with 50 gal. of apple juice which cost $2.24 per gallon. How much cranberry juice was used to make cranapple juice to sell for $3.00 per gallon? Round to the nearest tenth. |
| a) |
23.5 gal. |
b) |
24.5 gal. |
c) |
26.3 gal. |
d) |
23.8 gal. |
|
| 20. A child's piggy bank contains nickels, dimes and quarters. There are twice as many dimes as quarters and seven more nickels than dimes. The total vlaue of all the coins is $2.00. How many nickels are in the bank? |
| a) |
13 nickels |
b) |
14 nickels |
c) |
11 nickels |
d) |
15 nickels |
|
| 21. Tickets for a school play sold for $2.50 each adult and $1.00 for each child. The total receipt for 113 tickets sold was $221. Find the number of adult tickets sold. |
| a) |
75 adult tickets |
b) |
27 adult tickets |
c) |
70 adult tickets |
d) |
72 adult tickets |
|
| 22. An investment advisor invested $12,000 in two accounts. One investment earned 12.6% annual simple interest, while the other investment lost 5%. The total earnings from both investments were $104. Find the amount invested at 12.6%. |
| a) |
$4,060 |
b) |
$4,000 |
c) |
$4,050 |
d) |
$6,000 |
|
| 23. The sum of two integers is eight. Three times the smaller integer is one less than twice the larger integer. Find the integers. |
| a) |
4 and 4 |
b) |
2 and 6 |
c) |
6 and 2 |
d) |
3 and 5 |
|
| 24. A commuter plane flew to a small town from a major airport. The average speed flying to the small town was 250 mph and the average speed returning was 150 mph. The total flying time was 4 hours. Find the distance between the two airports. |
| a) |
375 mi. |
b) |
475 mi. |
c) |
275 mi. |
d) |
573 mi. |
|
| 25. How many ounces of pure silver which cost $10.40 an ounce must be mixed with 50 oz. of a silver alloy which cost $6.48 an ounce to make an alloy which costs $9.00 an ounce? |
| a) |
80 oz. |
b) |
70 oz. |
c) |
90 oz. |
d) |
110 oz. |
|