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State Test Practice Mathematics Grade 7 Book 1 March 2011 Bubble the correct answer on the scan sheet provided. Be sure to use pencil. Q1 Which measure is equivalent to 1.5 kilograms? 1 kilogram = 1,000 grams A B C D 15 grams 150 grams 1,500 grams 15,000 grams Q2 At noon on Monday in Minneapolis, the temperature, in degrees Fahrenheit (F), was -4°F. At noon on Tuesday, the temperature was 6 degrees higher. What was the temperature at noon on Tuesday? A B C D 2°F -2°F 10°F -10°F Q3 The prices of plasma televisions at an electronics store are shown below. $1,544 $1,242 $2,285 $1,116 $1,899 $1,649 $1,423 $1,242 What is the range of the prices of these plasma televisions? A B C D $1,043 $1,169 $1,242 $1,484 Q4 Which expression is a binomial? A B C D p² 3w 3w + 1 3p² + 2p + 2 Q5 A box contains 6 red pens and 4 blue pens. Cory randomly picks a pen from the box and keeps it. Then Todd randomly picks a pen from the box. What is the probability both boys will pick red pens? A B C D Q6 Simplify the expression below. -4x - (-x) A B C D 5x 3x -3x -5x Q7 What is the value of the expression? 2 + 32 + |-4| A B C D 7 12 15 29 Q8 A rectangular pyramid is shown below. Which shape could the base be? A square B pentagon C triangle D trapezoid Q9 Gary and Thomas are playing a game with number cards. At the end of the game, Thomas still has 5 cards. If the value of each card is -50 points, how many points does Thomas have? A B C D -250 -10 10 250 Q10 Find the value of a in the equation below. 3a + 2 = a - 6 A B C D 4 2 -2 -4 Q11 Mr. Wilt prepares some chicken wings for a picnic. The bar graph below shows the number of different types of wings he prepares. Based on the bar graph, which of the statements below is true? A B C D Mr. Wilt prepares 2 more plain wings than hot wings. Mr. Wilt prepares twice as many plain wings as hot wings. Mr. Wilt prepares 2 more barbecue wings than garlic wings. Mr. Wilt prepares twice as many barbecue wings as garlic wings. Q12 Derek has 12 shirts in his closet. If 2 out of every 3 of these shirts are striped, how many striped shirts does Derek have in his closet? A B C D 2 8 11 18 Q13 Which of these is a unit of measure for the mass of a bag of apples? A B C D kilogram kilometer cubic inches square inches Q14 Joan flipped a coin 100 times during a mathematics experiment. The coin landed on tails 36 times. Based on Joan's results, which of these statements is true? A B C D The coin landed on tails more than expected. The coin landed on heads less than expected. The coin landed on heads more than tails. The coin landed on heads less than tails. Q15 Which graph represents the solution set of the inequality below? x > 26 A B C D Q16 Helen is preparing candy bags for the children at a party. She has 2 flavors of lollipops; 4 types of candy bars, and 6 flavors of chewy candies. If each bag contains 1 piece of each kind of candy, what is the total number of possible candy combinations for the bags? A B C D 12 15 36 48 Q17 What is the area, in square units, of the shaded region on the coordinate plane below? A 26 B 28 C 30 D 32 Q18 Mario walks his dog once every 8 days in the park, while Todd walks his dog once every 14 days. Today, both Mario and Todd walked their dogs in the park. In how many more days will both boys walk their dogs in the park on the same day? A B C D 2 days 22 days 56 days 112 days Q19 Randy spins the arrow on a spinner with 5 equal sections labeled A, B,C, D, and E. Then, he rolls a 6-sided number cube with sides numbered 1 through 6. What is the probability that the arrow will stop on the letter A and the number cube will show the number 4 ? A B C D Q20 What is the value of n in the equation below? 2n + 1 = 21 A B C D 10 11 18 20 Q21 Based on Rudy’s baseball statistics, the probability that he will pitch a curveball is . If Rudy throws 20 pitches, how many pitches most likely will be curveballs? A B C D 1 2 5 10 Q22 Jessie performs an experiment by spinning the arrow on a spinner. The spinner has four equal sections. The results of his experiment are shown in the table below. Based on the data in the table, what is the experimental probability that the arrow will land on red? A B C D Q23 A scientist discovers a dinosaur bone that is 7 X 107 years old. What is this number in standard form? A B C D 7,000,000 7,100,000 70,000,000 71,000,000 Q24 What is the greatest common factor (GCF) of 64 and 84? A B C D Q25 If 2 4 6 8 and M = , which graph most closely represents the locations of K and M on a number line? A B C D Q26 Jeffrey wants to measure the mass of his fish tank. Which tool is best for him to use? A B C D ruler scale tape measure measuring cup Q27 Which number is the square root of 196? A B C D 12 14 16 18 Q28 The square root of a number is between 8 and 9. Which of these could be that number? A B C D 17 63 71 89 Q29 Which list of numbers below is a set of irrational numbers only? A B C D Q30 Brandon wants to conduct a survey as to whether mushrooms should be added to the pizzas sold in the school cafeteria. Which sampling method will offer Brandon the best results? A B C D interview every vegetarian student interview every student at a pizza parlor interview every student who brings lunch from home interview every student who eats lunch in the cafeteria Q31 The table below shows the number of computers a company sold in four different years. COMPUTERS SOLD Year Computers Sold 2002 3.2 x 105 2003 8.4 x 103 2004 5.9 x 105 2005 1.2 x 104 In what year did the company sell the most computers? A B C D 2002 2003 2004 2005 Q32 What is the surface area, in square centimeters, of a rectangular prism that has a length of 10 centimeters, a width of 5 centimeters, and a height of 6 centimeters? A B C D 140 160 280 300 Q33 The figure below is a rectangular prism. Which statement is true about the faces of this prism? A B C D All of the faces are squares. None of the faces are squares. Only two of the faces are squares. Only four of the faces are squares. Q34 Simplify the expression (-4)(3)(-1)(-2). A B C D 4 -4 24 -24 Q35 Dennis buys 5.5 liters of soda for a party. How many milliliters are equivalent to 5.5 liters? 1 liter = 1,000 milliliters A B C D 55 550 5,500 55,000 Q36 Breanna researches the density of corn syrup for a science experiment. She finds that the mass of 50 milliliters of corn syrup is 69 grams. What is the density, in grams per milliliter, of corn syrup? A B C D 119 1.38 3,450 0.7246 Q37 Solve for n 3(n – 5) = n + 7 A B C D 6 11 1 -4 Q38 Simplify the expression below. | 7 - 32 | + 4 A B C D 2 3 5 6 Q39 The length of each side of a cube is 2.05 centimeters long. What is the best estimation of the surface area of the cube in square centimeters? Surface area = 6s2 A B C D 16 24 32 48 Q40 The temperature, in degrees Fahrenheit (°F), decreased at a constant rate from 0°F to -35°F in 5 hours. By how many degrees did the temperature decrease per hour? A B C D 5° 7° 30° 35° Q41 Four students predicted how long it would take them to run around a city block. Their predictions and actual times are shown in the table below. Student Predicted Time Actual Time (in seconds) (in seconds) Angie 74 63 Rachael 61 70 Thomas 68 76 Jordan 65 72 Which student's predicted time is closest to his or her actual time? A B C D Angie Rachael Thomas Jordan Q42 A toy box has a volume of cubic yard. What is the volume of this toy box in cubic feet. One cubic yard = 27 cubic feet A 1 B C D 9 Q43 What is the length of the unknown side of this triangle? x 8 cm 15 cm A B C D 23 7 17 289 Q44 Which expression below is equivalent to ? A B C D Q45 Which value of x is a solution of 3x – 18 ≤ 24 A B C D 42 12 21 16 Extra credit Q46 Which equation represents the statement “Five less than the product of three and a number, n, is twenty” A 3n – 5 = 20 B 5 < 3n + 20 C 5 – 3n = 20 D – 5 = 20 Q47 Which rule describes the table of values for x and y? x y 2 3 A y=x+1 B y = 3x – 4 C y = 2x – 1 D y = 4x – 5 3 5 4 7 5 9