Free and Printable SAT test Sample Questions 2013 Part VII (1-150)

New and Printable SAT test Sample Questions 2013 -14

This is 7th part of my blog for doing excellent in SAT exam. You can prepare for this exam by testing some free test questions. Make sure you first print the answers. In this part of blog you will see Mathematics Practice Questions from 116-130.

All answers for this test in red.

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Free and Printable SAT test Sample 116-130

Q 116

. A scale on a map states that every ¼ of an inch represents 20 miles. If two cities are 3 ½ inches apart, how many miles are actually between the two cities?

A. 14 miles

B. 20 miles

C. 125 miles

D. 230 miles

E. 280 miles

Q 117

 Michelle wants to expand her flowerbed by increasing the length and width each by 2 ft. What will the new area of the flowerbed be, if L and W represent the original dimensions of the flowerbed's length and width?

A. 2 LW

B. 2 (L+W)

C. 2L +2W

D. (L+2) (W+2)

E. LW/2

 

Q 118

Tina lights went out. She has 3 pairs of red socks in her drawer, 2 pairs of black socks, and 5 pairs of white socks. What is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color?

A. 3

B. 5

C. 7

D. 9

E. 10

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Answers Key - Free and Printable SAT test Sample 116-130

116. E: The following proportion may be written: (1/4)/20=(3 1/2)/x, which simplifies to 1/4 x=70, where x = 280. Thus, there are actually 280 miles between the two cities.

117. D: The new length may be represented by the expression, L + 2, while the new width may be represented by the expression, W + 2. Thus, the area is equal to the product of the two dimensions, or (L + 2)(W + 2).

118. D: Removal of 9 pair will ensure that she has one of each color because all 3 colors will be represented. Removal of 7 pair may include only pairs of black and white socks, while not including a red pair.

119. C: The fractions in Choice C may be converted to the following decimals: 0.25, 0.68, 0.6875, 0.75, which are indeed in order from least to greatest.

120. C: The average may be written as (365+7+24)/3, which equals 132.

121. A: Moving the decimal 5 places to the right gives 175,000.

122. C: The average may be written as (0.03(2800+3200+3600))/3, which equals 96.

123. E: The following proportion may be written: (1/3)/15=(3 2/3)/x, which simplifies to 1/3 x=165/3, where x = 165. Thus, there are actually 165 miles between the two cities.

124. A: Simple interest may be calculated using the formula, I = Prt, where P represents the principal amount, r represents the rate, and t represents the length of time. Substituting 200 for I, 4000 for P, and 0.05 for r gives 200 = (4000)(0.05)t. Thus, t = 1. It will take him 1 year to earn $200 in simple interest.

125. D: The following equation may be solved for x: 650 = 0.012x. Dividing both sides of the equation by 0.012 gives x = 54,166.67. Thus, the assessed value of his property is $54,166.67.

126. B: The problem may be modeled with the equation, 23.80 = x - 0.15x, which simplifies to 23.80 = 0.85x. Dividing both sides of the equation by 0.85 gives x = 28. So, the regular price of the lamp is $28.

127. C: The expression, 750 - 0.15(750), may be used to represent the price, after the first discount. This amount is $637.50. Taking an additional 10% off of the discounted price is represented by the expression, 637.50 - 0.10(637.50), which equals 573.75. Thus, the price after both discounts is $573.75.

128. A: The problem may be modeled and solved, using the equation, 0.85x = 136. Solving for x gives x = 160.

129. B: The following proportion may be written: 150/20=x/2. Solving for x gives x = 15. Thus, the height of the tree is 15 feet.

130. C: Dividing a positive number by a negative number gives a negative quotient. For example, 4/(-2)=-2.

 

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Q 119

Which of the following fractions are correctly placed from the least in value to the greatest in value?

A. 1/4, 17/25, 3/4, 11/16

B. 17/25, 1/4, 11/16, 3/4

C. 1/4, 17/25, 11/16, 3/4

D. 1/4, 17/25, 3/4, 11/16

E. 3/4, 17/25, 11/16, 1/4

Q 120

What is the mathematical average of the number of days in a typical year, the number of days in a week, and the number of hours in a day?

A. 100

B. 115

C. 132

D. 158

E. 224

Q 121

 1.75 x 105=

A. 175,000

B. 17,500

C. 1,750

D. 0.00175

E. 0.000175

Q 122

 The electric company charges 3 cents per kilowatt-hour. George used 2800 kilowatt-hours in April, 3200 kilowatt-hours in May, and 3600 kilowatt-hours in June. What was his average cost of electricity for the 3 months?

A. $72

B. $88

C. $96

D. $102

E. $113

Q 123

n a map, 1/3 inch equals 15 miles. The distance between two towns on a map is 3 2/3 inches. How many miles are actually between the two towns?

A. 11

B. 16

C. 88

D. 132

E. 165

Q 124

 Jonny invested $4,000 at 5% interest per year; how long will it take him to earn $200 in simple interest?

A. 1 year

B. 2 years

C. 3 years

D. 4 years

E. 5 years

Q 125

Ron pays $650 in property tax. What is the assessed value of his property if property taxes are 1.2% of assessed value?

A. $28,800.27

B. $41,328.90

C. $43,768.99

D. $54,166.67

E. $64,333.39

Q 126

A lamp is marked with a sale price of $23.80, which is 15% off of the regular price. What is the regular price?

A. $26

B. $28

C. $30

D. $32

E. $43

Q 127

A mattress store sells their stock for 15% off of retail. If someone pays cash, they take an additional 10% off of the discounted price. If a mattress's retail price is $750, what is the price after the store discount and the cash discount?

A. $550.75

B. $562.50

C. $573.75

D. $637.50

E. $675.00

Q 128

85% of what number is 136?

A. 160

B. 170

C. 180

D. 190

E. 220

Q 129

 A building that is 150 ft tall casts a shadow of 20 feet long. At the same time a tree casts a shadow of 2 ft. How tall is the tree?

A. 10

B. 15

C. 20

D. 25

E. 30

Q 130

Which of the following is a true statement?

A. The product of two negative numbers is negative.

B. The product of one negative and one positive number is positive.

C. When dividing a positive number by a negative number, the results are negative.

D. When dividing a negative number by a positive number, the results are positive.

E. When dividing a negative number by a negative number the results are negative.