40. If a quadrilateral has 4 equal sides and with all right angles, it must be a
ID: 3033806 • Letter: 4
Question
40. If a quadrilateral has 4 equal sides and with all right angles, it must be a: A. rhombus B. square C. parallelogram D. rectangle
41. Angle A is equal to 30 more than 4 times angle B. Find the measure of both angles. 20, 160 B. 30, 150 C. 45, 135 D. 50, 130 11
42. A city had a record low temperature of -3 F one winter. What is this temperature converting 9 to Celsius? ( F = C + 32) 5 A. -16.1 C B. 5 C C. -19.44 C D. 0 C 43. A rectangle measures 9 inches by 11 inches. A square with a side of 3 inches is cut from one corner of the rectangle. What is the area of all that remains of the rectangle? A. 18 sq. in. B. 63 sq. in. C. 66 sq. in. D. 90 sq. in.
44. Find the shaded area. A. 9.42 square ft B. 12 square ft C. 7.8 square ft D. 15 square ft
45. A corn silo is shaped like a cylinder, with a cone on top. If it is filled to capacity, what is the volume of the silo? A. 1620 m3 B. 1200 m3 C. 1000 m3 D. 800 m3 46. A given square has a perimeter of 36. What is the area of a right triangle formed by dividing that square on the diagonal? A. 9 B. 18 C. 40.5 D. 81
47. Find the missing angle A. A. 90° B. 31° C. 149° D. 59° 48. If a sweater sells for $48 after a 25 percent markdown, what was the original price? A. $60 B. $75 C. $64 D. $68
49. A ladder is 8 meters away from the wall on the ground, and leans on the top 12 meters straight up. How long is the ladder? A. 14.42 B. 16.42 C. 20 D. 18.42 50. Write in scientific notation 152,900. 1.529 x 105 B. 15.29 x 10³ C. 0.1529 x 105 D. 0.01529 x 10² 12
51. The Rodriguez family drives at average 28 miles per gallon of gas. If the Rodriguez family drives at 55 mph for 7 hours, how many gallons of gas will they burn? A. 385 B. 14.25 C. 13.75 D. 196 52. South High School has a track with the dimensions shown in the figure. How many feet does Marsha run when she completes one lap around the track? A. 254.2 ft B. 348.4 ft C. 268.4 ft D. 174.2 ft
53. If the two hands of a clock are 180° apart and the little hand is on the 6. What time is it?
59. Joan has a bag of coins. She has twice as many quarters as dimes. How would you represent her total sum of money if x equals the number of dimes?
62. Solve the system of linear equations. y = 2x – 4 y = 5x + 8 64. Josh bought his concert ticket early, for the 25% discount. If Joshua paid $9.00 for his ticket, how much is a full price ticket? A. $9.25 B. $12.00 C. $14.75 D. $18.50 65. Using the slope equation m = y2 y1 , find the slope ( 2, 3) x2 x1 of the line in the graph to the right, with 2 points at (2, 3) and (4, -1). (4, -1) A. – 2 B. 2 C. – 3/2 D. 2/3
66. Which of the following is a solution to the inequality? 2x > -y + 5 A. (-4, 3) B. (2, 1) C. (3, 9) D. (-1, -5) 67. Which is the solution to the system of linear equations? y = 2x + 7 y = - x + 4 A. (-1, -4) B. (1, 6) C. (-1, -5) D. (-1, 5) 68. Casey received a basket of fruit for his birthday. The basket has 6 oranges. The number of apples is 4 less than twice the number of oranges. How many apples are in the basket?
64. Josh bought his concert ticket early, for the 25% discount. If Joshua paid $9.00 for his ticket, how much is a full price ticket? A. $9.25 B. $12.00 C. $14.75 D. $18.50 65. Using the slope equation m = y2 y1 , find the slope ( 2, 3) x2 x1 of the line in the graph to the right, with 2 points at (2, 3) and (4, -1). (4, -1) A. – 2 B. 2 C. – 3/2 D. 2/3 66. Which of the following is a solution to the inequality? 2x > -y + 5 A. (-4, 3) B. (2, 1) C. (3, 9) D. (-1, -5)
67. Which is the solution to the system of linear equations? y = 2x + 7 y = - x + 4 A. (-1, -4) B. (1, 6) C. (-1, -5) D. (-1, 5)
68. Casey received a basket of fruit for his birthday. The basket has 6 oranges. The number of apples is 4 less than twice the number of oranges. How many apples are in the basket? 64. Josh bought his concert ticket early, for the 25% discount. If Joshua paid $9.00 for his ticket, how much is a full price ticket? A. $9.25 B. $12.00 C. $14.75 D. $18.50 65. Using the slope equation m = y2 y1 , find the slope ( 2, 3) x2 x1 of the line in the graph to the right, with 2 points at (2, 3) and (4, -1). (4, -1) A. – 2 B. 2 C. – 3/2 D. 2/3
66. Which of the following is a solution to the inequality? 2x > -y + 5 A. (-4, 3) B. (2, 1) C. (3, 9) D. (-1, -5) 67. Which is the solution to the system of linear equations? y = 2x + 7 y = - x + 4 A. (-1, -4) B. (1, 6) C. (-1, -5) D. (-1, 5)
68. Casey received a basket of fruit for his birthday. The basket has 6 oranges. The number of apples is 4 less than twice the number of oranges. How many apples are in the basket?
64. Josh bought his concert ticket early, for the 25% discount. If Joshua paid $9.00 for his ticket, how much is a full price ticket? A. $9.25 B. $12.00 C. $14.75 D. $18.50 65. Using the slope equation m = y2 y1 , find the slope ( 2, 3) x2 x1 of the line in the graph to the right, with 2 points at (2, 3) and (4, -1). (4, -1) A. – 2 B. 2 C. – 3/2 D. 2/3
66. Which of the following is a solution to the inequality? 2x > -y + 5 A. (-4, 3) B. (2, 1) C. (3, 9) D. (-1, -5)
67. Which is the solution to the system of linear equations? y = 2x + 7 y = - x + 4 A. (-1, -4) B. (1, 6) C. (-1, -5) D. (-1, 5)
68. Casey received a basket of fruit for his birthday. The basket has 6 oranges. The number of apples is 4 less than twice the number of oranges. How many apples are in the basket?
70. What are the coordinates of the midpoint M? A. (40, 30) B. (60, 40) C. (30, 40) D. (30, 80)
71. Find the perimeter of figure. Simplify the answer. A. 10c + d B. 10c + 2d C. 5c + d D. 5c + 2d
72. Solve inequality. 3x – 6 < 27 73. Solve –2(x – 3) 4. A. x 1 B. x 1 C. x -1 D. x -1
74. Write equation y = mx + b. A. y = 1 x - 1 2 B. y = 2x - 1 C. y = 1 x + 1 2 D. y = 2x + 1
75. Compare the slopes for 2 linear equations. (1) 3y + 2x = 4 (2) – 3y – 2x = 4 A. The slope in (1) is greater. B. The slope in (2) is greater. C. 2 slopes are equal. D. The slopes cannot be determined from the information given.
76. Which equation represents a line through (3, 5) that is perpendicular to y = 2x - 5? A. 2y = -x + 13 B. 2y = x + 13 C. 2y - x = 13 D. 2y + x = -13
77. For the equation 3x - 2y = 12, which has value -6? A. the x-intercept B. the y-intercept C. the slope D. the origin
78. If Bruce spent 47.5 minutes to jog 5 miles, how many minutes for him to jog 11 miles? A. 110.5 min B. 100.5 min C. 95.5 min D. 104.5 min
79. Find the slope of the line. 3x - 5y = 15. 3 5 A. B. 3 C. 5 D. 5 3
80. Solve the proportion for the variable. x 2 3x . 3 6 A. 3 B. 4 C. 5 D. 6 16 Section 4 - Data Analysis and Probability
81. Joanna has a candy jar with 7 brown, 4 green, 6 blue, 6 red, and 10 orange candies. If she takes a candy from the jar with her eyes closed, what’s the probability she’ll get a green one? A. 7/33 B. 6/33 C. 4/33 D. 10/33
82. Using the following data: 11, 13, 10, 3, 5, 3, and 4, which of the following is NOT true? A. mode = 3 B. median = 4 C. mean = 7 D. range =10
83. If the data in the previous problem changed and the 10 is replaced by a 12, which of the following values would change? A. mode B. median C. mean D. range
84. Ice cream store employs 4 people: 1 manager at $30,000, 2 cashiers at $20,000 each, 1 dishwasher at $5,000. If the store wants to brag about how much they pay the employees, they would use which measure? A. mode B. median C. mean D. range
85. Bob and Carol are planning on having four children. What is the probability that the 4 children will all be boys? A. 1/16 B. 1/8 C. 1/4 D. 1/28
86. If you flip a coin 10 times and it comes up heads 7 times, what is the probability the next time you flip a coin it comes up heads? A. 3/10 B. 7/10 C. ½ D. 3/7
87. Your sock drawer is a mess and contains 8 white socks, 6 black socks, and 4 red socks. What is the probability that the first sock you pull out will be black and the second sock you pull out (without replacing the first sock) will be black? A. 23/26 B. 30/306 C. 12/26 D. 102/616
88. Isabella went out to dinner. How many different meals could she make from 4 entrees, 3 drinks, and 4 choices for dessert? A. 12 B. 8 C. 48 D. 24
89. Find the missing number in the following sequence. 26, 23, 20, 17, ? A. 8 B. 10 C. 12 D. 14
90. In the sequence 2, 6, 18, x, 162 …. , what is the value of x ? A. 36 B. 48 C. 54 D. 81
91. Finish the series of numbers below: 17, 34, 51, 68, 85, A. 90 B. 102 C. 108 D. 95
92. Which sequence is in ascending order? A. 4, 1, -2, -5, ... B. 25, 24, 23, 22, … C. 12, 10, 8, 6, … D. 6, 12, 18, 24, …
93. The scatter plot to the right shows the average number of cars that pass through each signal in the area. What is the difference between the number of cars passing through the busiest and the number of cars passing through the least busy signal? A. 250 B. 300 C. 280 D. 200
94. Andy averaged 19 points per game during five games of the basketball season. If he scored 12, 24, 20, and 18 in four of the games, how many points did he score in the fifth? A. 21 B. 17 C. 15 D. 20 18
95. When you spin a spinner on the right, what is the probability of spinning a 5 as a fraction, a decimal, and a percent? A. 1/2, 0.50, 50% B. 1/3, 0.33, 33.3% C. 1/4, 0.25, 25% D. 1/6, 0.167, 16.7%
96. The graph on the right represents people’s favorite fruit. How many people out of 500 would prefer oranges? A. 38 B. 190 C. 120 D. 76
97. Sam went golfing 5 days with a mean score of 95. The first 4 days scored: 87, 94, 99, and 101. What was the score on the fifth day? A. 89 B. 91 C. 94 D. 96
98. A regular six-sided number cube is thrown twice. What is the probability that it will come up 4 both times? A. 1/36 B. 1/16 C. 1/12 D. 1/4
99. Randomly choosing a letter from the letters in the word ALPHABET, what is the probability you select an A? A. 2/9 B. 1/4 C. 8/26 D. 2/26
100. Mr. Bott was choosing two students to answer questions at the board. He could choose between Alex, Matt, Travis, Rachel, Brittney and Justin. How many different ways can he choose two students? A. 36 B. 12 C. 15 D. 25
Explanation / Answer
# (40)
As per the question, the given quadrilateral have four equal sides. So it must be either rhombus or square. Secondly it is also given that all four angles are right angles. Therefore it will be a square because only a square have four equal sides and all four right angles.
Hence, option B. square is correct.
# 41.
Let angle B is x.
As per the question angle A is equal to 30 more than 4 times angle B.
So angle A = 4x + 30
We know that the sum of both angles is 180.
Therefore:
4x + 30 + x = 180
5x + 30 = 180
5x = 150
x = 30
Hence,
Angle B = 30o
Angle A = 4*30 + 30
Angle A = 150o
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