# Mathematics Practice Questions 3

1. \$5000
2. \$5500
3. \$4900
4. \$5050
5. \$4950
1. 10%
2. 15%
3. 20%
4. 25%
5. 30%
1. 1400 miles
2. 9210 miles
3. 4400 miles
4. 4120 miles
5. 8000 miles
1. 68
2. 69
3. 71
4. 73
5. 76
1. 15
2. 45
3. 54
4. 64
5. 84
1. 1/5
2. 1/4
3. 1/3
4. 1/9
5. 1/8
1. 10
2. 50
3. 22
4. 18
5. 16.5
1. \$67
2. \$103.50
3. \$34.50
4. \$113
5. \$125
1. 330 lbs
2. 990 lbs
3. 700 lbs
4. 1100 lbs
5. 2310 lbs
##### 10. A taxi service charges \$5.50 for the first 1/5th of a mile, \$1.50 for each additional 1/5th of a mile, and 20 cents per minute of waiting time. Joan took a cab from her place to a flower shop 8 miles away, where she bought a bouquet, then another 3.6 miles to her mother’s place. The driver had to wait 9 minutes while she bought the bouquet. What was the fare?
1. \$20
2. \$120.20
3. \$92.80
4. \$91
5. \$90

###### 1. E

The stock first increased by 10%, that is, by \$10 (10% of \$100) to \$110 per share. Then, the price decreased by \$11 (10% of \$110) so that the sale price was \$110-\$11 = \$99 per share, and the sale price for 50 shares was 99 x \$50 = \$4950.

###### 2. C

She has been working at the rate of 10 papers per hour. She has 30 papers remaining and must grade them in the 2.5 hours that she has left, which corresponds to a rate of 12 papers per hour. of her previous rate, or 20% faster.

###### 3. B

The radius, R, of the satellite’s orbit is the sum of the Earth’s radius plus the satellite’s orbital altitude, or R = 4400 miles. The circumference of the circular orbit is therefore C = 2π = 2π(4400) = 8800π miles. Since 40 minutes is one third of the satellite’s 120-minute orbital time, it traverses one third of this distance in that time. So the distance, D = 2π × 4400 = 9210.66 miles, using 3.14 for π.

###### 4. C

Prime numbers are those that are only evenly divisible by one and themselves.

###### 5. C

There are 12 inches in a foot and 3 feet in a yard. Four and a half yards is equal to 162 inches. To determine the number of 3-inche segments, divide 162 by 3.

###### 6. A

If it takes 3 people 3 1/3 days to do the job, then it would take one person 10 days:

16.5 x 4/3 = 22.

###### 8. B

25% off is equivalent to 25 × \$138/100 = \$34.50, so the sale price becomes \$138 – \$34.50 = \$103.50.
A. \$67 ≠ \$103.50
C. \$34.50 is the amount of the reduction, not the final price.
D. \$113 ≠ \$103.50
E. \$ 125 ≠ 103.50

###### 9. B

30% 0f 3300 = 0.3 x 3300 = 990

A. 330 is of 3300, not 30%
C. 700 is of 3300, not 30%
D. 1100 is of 3300, not 30%
E. 2310 is of 3300, not 30%

###### 10. C

The total distance traveled was 8 + 3.6 = 11.6 miles. The first 1/5th of a mile is charged at the higher rate. Since 1/5th = 0.2, the remainder of the trip is 11.4 miles. Thus the fare for the distance traveled is computed as \$5.50 + 5 × 11.4 × \$1.50 = \$91. To this the charge for waiting time must be added, which is simply 9 x 20 cents = 180 cents = \$1.80. Finally, add the two charges, \$91 + \$1.80 = \$92.80. Since this value is unique, all other answers are incorrect.