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6th Grade Math Released STAAR Items by New TEKS 6.1D(P): Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate. 2014 #32: What is the prime factorization of 99? * F. 32 • 11 G. 33 • 11 H. 9 • 11 J. Not here 2014 #2 Which situation is best represented by the integer -‐14? F. A grocery store clerk helps 14 times as many customers as another clerk. G. Coach divides the players on his team into 14 equal groups. H. A mail carrier delivers mail to 14 additional houses not on his normal mail route. * J. A carpenter shortens the length of a board by 14 inches. 6.2C(S): locate, compare, and order integers and rational numbers using a number line. 2013 #4 The numbers in each set shown below have a common characteristic. Which statement best describes a common characteristic of the numbers in Set S or Set T? F. G. H. * J. ! Each number in Set T is less than . ! Each number in Set S is less than 0.65. ! Each number in Set T is greater than . ! Each number in Set S is greater than 0.5. 1 6th Grade Math Released STAAR Items by New TEKS 2013 - 7th Gr #26: Which list of numbers is in order from greatest to least? ! ! ! ! ! ! ! ! F. −5, 0, , 2, , 6 G. 6, −5, , 2, , 0 H. * J. ! ! , 6, 2, ! ! ! ! ! ! , 0, −5 6, , 2, , 0, −5 6.2D(R): order a set of rational numbers arising from mathematical and real-‐world contexts. 2013 #52 At 8:00 A.M., 26 children were at a day care. By 3:00 P.M., 12 of these children were no longer at the day care. Which integer best represents the change in the number of children at the day care from 8:00 A.M. to 3:00 P.M.? F. +26 G. +12 H. −26 * J. −12 6.3B(S): determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one. 2013 #18 Each of three students wrote an equation. ! !" ! ! • Nikole wrote 5 = • Erik wrote 5.14 = • !" ! ! !" ! ! Keisha wrote 4 = Which of these students wrote an equation that is true? * F. Nikole only G. Nikole and Erik only H. Keisha only J. Nikole, Erik, and Keisha 2013 #31 Which number is equivalent to !" ! ? A. 6.1, because 13 ÷ 2 = 6 with a remainder of 1 B. * C. !" ! , because 13×2 = 16, and 2×1 = 2 ! 6 , because 13 ÷ 2 = 6 with a remainder of 1 ! ! ! ! ! D. 6.05, because 13 ÷ 2 = 6 , and = 0.05 2 6th Grade Math Released STAAR Items by New TEKS 6.3C(S): represent integer operations with concrete models and connect the actions with the models to standardized algorithms. 2013 #5: Kenji has a collection of rectangular prisms of different heights. Each rectangular prism has a length of 5 cm and a width of 2 cm. The table below shows the relationship between each rectangular prism’s volume, V, and the rectangular prism’s height, h. Kenji’s Collection of Prisms Volume, V Height, h 3 (cm ) (cm) 20 2 90 9 160 16 230 23 Which equation can be used to find V, the volume in cubic centimeters of a rectangular prism in Kenji’s collection? * A. 10h = V B. 7h = V C. h = 7V D. h – 10V 2014 - 7th Gr #12: Which expression is represented by the model below? F. * G. H. J. -‐4 • (-‐5) 4 • (-‐5) (-‐4) • 5 4 • 5 2013 #21: The list below shows the rate at which Riley burned calories by doing different activities last week. • • • Playing basketball: burned 11 calories per minute Jogging: burned 9 calories per minute Swimming: burned a total of 600 calories in 2 hours Riley did each of these activities for 2 hours last week. Based on the information in the list, which statement is true? A. He burned 1,200 calories per hour while swimming, because 600×2 = 1,200. * B. He burned a total of 3,000 calories, because 11×120 + 9×120 + 600 = 3,000. C. He burned 1,080 calories per hour while jogging, because 9×120 = 1,080. D. He burned a total of 74,400 calories, because 11×120 + 9×120 + 600×120 = 74,400. 2013 #36: A worker at a clothing company uses 200 buttons to make 50 shirts. At this rate, how many buttons would the worker use to make 350 shirts? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. * ANSWER: 1400 3 6th Grade Math Released STAAR Items by New TEKS 2013 #49: Every day a zookeeper feeds 4 adult gorillas a total of 160 lbs. of food. At this rate, how many pounds of food would the zookeeper need every day to feed 6 adult gorillas? A. 40 lb B. 320 lb * C. 240 lb D. 80 lb 2014 #4: There are 176 slices of bread in 8 loaves. If there are the same number of slices in each loaf, how many slices of bread are in 5 loaves? * F. 110 G. 173 H. 100 J. 163 2014 #15: Mrs. Stephens drove through a total of 36 intersections on her way home from work last week. At 4 of every 16 intersections, Mrs. Stephens had to stop for a red light before she could drive through. At how many intersections did Mrs. Stephens have to stop for a red light? A. * B. C. D. 3 9 24 12 2014 #37: Three connected gears are shown below. • • For every complete rotation of Gear Z, Gear Y makes 2 complete rotations. For every complete rotation of Gear Y, Gear X makes 3 complete rotations. Based on this formation, what is the number of complete rotations Gear Z will make when Gear X makes 192 complete rotations? A. 456 B. 608 * C. 152 D. 304 4 6th Grade Math Released STAAR Items by New TEKS 6.4A(S): compare two rules verbally, numerically, graphically, and symbolically in the form of y = ax or y = x + a in order to differentiate between additive and multiplicative relationships. 2014 #10: ! The value of g can be determined using the expression 𝑟 − . Which table represents the ! relationship between the values of g and r? * 2014 #34: The table shows a relationship between some values of p and v. Based on the table, which expression represents any value of v in terms of its corresponding value of p? ! F. 𝑝 − !" ! G. 𝑝 − 10 !" ! H. 𝑝 + !" * J. 𝑝 + 10 ! !" 5 6th Grade Math Released STAAR Items by New TEKS 6.4B(R): Apply qualitative and quantitative reasoning to solve prediction and comparison of real-‐world problems involving ratios and rates. 2013 #3: At a school on Friday, 3 out of every 4 students were wearing jeans. There were 600 students at school on Friday. How many of the students were wearing jeans? A. 599, because 600 − 4 − 3 = 599 * B. ! !"# ! !"" 450, because = C. 50, because 600 ÷ 4×3 = 50 ! !"" ! !"" D. 800, because = 2013 #28: In a first-‐aid kit the ratio of large bandages to small bandages is 3 to 2. Based on this ratio, how many large bandages are in the kit if there are a total of 80 bandages? F. 32 * G. 48 H. 16 I. 40 2013 #45: Vanessa is making a sauce for a chicken dish. The list below shows the amount of each ingredient she needs in order to make 4 servings of the sauce. 2 tablespoons of black pepper 1 cup of peanut butter 3 tablespoons of vinegar 2 tablespoons of soy sauce 1 cup of water Based on this information, which statement is true? * A. For 16 servings, she would need to use 12 tablespoons of vinegar. B. For 20 servings, she would need to use 7 tablespoons of soy sauce. C. For 2 servings, she would need to use 4 tablespoons of black pepper. D. For 12 servings, she would need to use 9 cups of peanut butter. § § § § § 2014 #18: A sea turtle made 460 dives in 12 hours. At this rate, how many dives did the sea turtle make in 3 hours? F. * G. H. J. 153 115 120 165 6 6th Grade Math Released STAAR Items by New TEKS 2014 #31: The list shows the amount of each ingredient Charlotte used to make 3 servings of macaroni and cheese. § 12 ounces of macaroni § 1 egg § 2 cups of milk § 2 ½ cups of cheddar cheese Based on this information, which statement is NOT true? A. To make 6 servings, Charlotte should use 5 cups of cheddar cheese. B. To make 24 servings, Charlotte should use 96 ounces of macaroni. C. To make 12 servings, Charlotte should use 4 eggs. * D. To make 9 servings, Charlotte should use 8 cups of milk. 2014 #49: Quinlan pays $178 every 4 months for his guitar lessons. At this rate, how much will Quinlan pay for 3 years of guitar lessons? A. B. * C. D. $534 $2,136 $1,602 $712 6.4C(S): Give examples of ratios as multiplicative comparisons of two quantities describing the same attribute. 2014 #39: Four sets of angles are shown below. Set I Set II Set III Set IV I which of the sets is there a ratio of 4:1 between the measure of angle S and the measure of angle T ? A. Set I only B. Sets I, II, III, and IV * C. Sets I and II only D. Set IV only 7 6th Grade Math Released STAAR Items by New TEKS 6.4D(S): Give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients. 2013 #11: Fred went to an arcade to play video games. He paid $2 for every 11 tokens he bought. He spent a total of $16 on tokens. Which equation can be used to determine t, the number of tokens Fred bought? ! ! A. = !" B. ! !! C. !" * D. !! ! ! !! = = = ! !" !! ! ! !" 2013 – 7th Gr #18: A sports drink contains 8% fruit juice. How is this percent written as a decimal? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. * ANSWER: 0.08 6.4E(S): Represent ratios and percents with concrete models, fractions, and decimals. 2013 #16: The students in a science class spent 85% of their class period performing an experiment. What decimal is equivalent to 85%? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. * ANSWER: 0.85 2014 #36: At a zoo, 5% of the birds are macaws. What decimal is equivalent to 5%? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. *ANSWER: 0.05 8 6th Grade Math Released STAAR Items by New TEKS 6.4G(R): Generate equivalent forms of fractions, decimals, and percents using real-‐world problems, including problems that involve money. 2013 – 7th Gr #35: The box below contains equivalent values. !" 3 !" 335% !!" !"" 3.35 !" 3 !"" Which number is equivalent to the values in the box? * A. !" !" B. 3.35% C. 6 ! !" D. 335 2013 – 7th Gr #48: Which two values are both equivalent to 240%? F. 2.4 and 2 * G. ! !" ! 2.4 and 2 ! ! H. 0.24 and 2 ! J. 0.24 and 2 ! !" 2014 #22: An electric eel has a length of 1.84 meters. What fraction is equivalent to the length of this electric eel in meters? F. 1 G. * H. J. !" !" !" !"" 1 m m !" !" m not here 9 6th Grade Math Released STAAR Items by New TEKS 2014 #25: Two sets of numbers are shown below. Which statement is true? A. * B. C. D. The number 8.7 is equivalent to each number in Set K, but not each number in Set J. The number 8.7 is equivalent to each number in Set J and Set K. The number 8.070 is equivalent to each number in Set K, but not each number in Set J. The number 8.070 is equivalent to each number in Set J and Set K. 2014 #51: Which equation is true? * A. 0.9 = B. !" !" !" ! ! !"" = 0.2 2014 - 7th Gr #4: = 1.02 C. 1.9 = D. !" !"" !" Matt has answered of the questions on a test. What percentage of the test questions has !" Matt answered? F. 20% G. 45% H. 95% * J. 80% 2014 - 7th Gr #20: A company predicts that this year’s sales will be equivalent to 144% of last year’s sales. Which value represents 144%? F. 14.4 * G. 1 !! !" H. 1.56 J. ! 14 ! 10 6th Grade Math Released STAAR Items by New TEKS 2014 - 7th Gr #45: Elisa surveyed people in her neighborhood about whether they would like to have a swimming pool in their community park. Of those who responded, 65% were in favor of having a swimming pool. Based on these results, which statement could be true? A. * B. C. D. Elisa surveyed 10 people, and 6 people were in favor of having a swimming pool. Elisa surveyed 20 people, and 13 people were in favor of having a swimming pool. Elisa surveyed 65 people, and 10 people were in favor of having a swimming pool. Elisa surveyed 13 people, and 5 people were in favor of having a swimming pool. 6.4H(R): Convert units within a measurement system, including the use of proportions and unit rates. 2013 #25: The measurements in the list below have a characteristic in common. 2 miles 72,000 inches 3,000 feet Which statement describes the common characteristics? § § § * A. Each measurement is less than 4,000 yards. B. Each measurement is greater than 1,760 yards. C. Each measurement is equivalent to 1,000 yards. D. Each measurement is equivalent to 3,520 yards. 2013 #42: An adult human body contains about 10 pints of blood. How many fluid ounces is the equivalent of 10 pints? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. * ANSWER: 160 2014 #9: On Tuesday morning a school cafeteria served 16 gallons of orange juice during breakfast. How many cups are in 16 gallons? * A. 256 cups B. 64 cups C. 2,048 cups D. 128 cups 2014 #40: A farmer has a bale of hay with a mass of 36 kilograms. How many milligrams of hay are in the bale? * F. 36,000,000 mg G. 36,000 mg H. 3,600,000 mg J. 360,000 mg 11 6th Grade Math Released STAAR Items by New TEKS 6.5A(R): Represent mathematical and real-‐world problems involving ratios and rates using scale factors, tables, graphs, and proportions. 2013 #20: A pizza chef at a restaurant uses the same amount of tomato sauce to make each pizza. The table below shows the relationship between the number of pizzas made, n, and the number of gallons of tomato sauce used, g. Tomato Sauce for Pizzas Number of Pizzas, 80 112 144 176 n Number of Gallons of Tomato Sauce, 5 7 9 11 g Based on the information in the table, which expression can be used to find g, the number of gallons of tomato sauce needed to make n pizzas? F. 𝑛×16 G. 𝑛 − 75 * H. J. ! !" 𝑛 + 32 2013 #37: There is a relationship between the values of p and k in the table below. p k 1 16 9 16 1 8 5 8 1 4 3 4 1 2 1 Which expression represents the value of k in terms of p? ! A. 𝑝 + ! B. 𝑝 + ! !" ! * C. 𝑝 + ! D. 𝑝 + ! ! 12 6th Grade Math Released STAAR Items by New TEKS 2014 #20: Jackson has 180 pieces of gum. He wants to share the pieces of gum equally with his friends. Which table shows the relationship between n, the number of people who receive gum, and p, the number of pieces of gum each person receives? Gum * F Number of People, n 2 4 6 12 G Number of Pieces, p 90 45 30 15 Gum Number of People, n 10 20 30 40 Number of Pieces, p 170 160 150 140 Gum H Number of People, n 2 4 6 12 J Number of Pieces, p 360 720 1,080 2,160 Gum Number of People, n 10 20 30 40 Number of Pieces, p 18 16 14 12 6.5B(R): Solve real-‐world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models. 2013 #13: The value of m can be determined by using the expression (0.05 + 𝑗). Which table represents the relationship between the values of m and j? A C j 8.5 8.55 8.6 8.65 j 8.5 9 9.5 10 m 9.5 9.55 9.6 9.65 m 9 9.5 10 10.5 B j m 8.5 9 9 9.5 * D 9.5 10 10 10.5 j m 8.5 9 9.5 10 8.55 9.05 9.55 10.05 13 6th Grade Math Released STAAR Items by New TEKS 6.5C(S): Use equivalent fractions, decimals, and percents to show equal parts of the same whole. 2013 #44: !" A king snake is m long. What is an equivalent length of this king snake in meters? !" F. 0.31 m G. 3 ! !" m H. 0.062 m * J. Not here 6.6B(S): Write an equation that represents the relationship between independent and dependent quantities from a table. 2013 #34: On Saturday, Ricardo drank a total of 40 fluid ounces of water. If he drank m fluid ounces of water that morning, which equation can be used to find n, the number of fluid ounces of water he drank the rest of the day? * F. 40 − 𝑚 = 𝑛 G. 40 + 𝑚 = 𝑛 H. 40 ÷ 𝑚 = 𝑛 J. 40×𝑚 = 𝑛 2013 - 8th Grade #5: The expression below describes an arithmetic sequence of numbers. 9 − 4𝑛 If n represents the position of a term in the sequence, which of the following sequences of numbers could this expression describe? A. B. * C. D. 4, 3, 2, 1, 0, . . . 5, 10, 15, 20, 25, . . . 5, 1, −3, −7, −11, . . . 13, 17, 21, 25, 29, . . . 2013 – Alg I #35: A print shop charges a fixed amount per photocopy and gives a 10% discount off the total cost of the photocopies. The total cost is a function of the number of photocopies made. What is the independent quantity in this situation? A. B. C. * D. The total cost of the photocopies The price per photocopy The amount of the discount The total number of photocopies made 14 6th Grade Math Released STAAR Items by New TEKS 2014 - 7th Gr #9: Which table contains the first five terms of the arithmetic sequence represented by the expression 5n + 6, where n represents the position of a term in the sequence? * 6.7A(R): Generate equivalent numerical expressions using order of operations, including whole number exponents and p rime factorization. 2013 #12: What is the prime factorization of 196? F. 22 ·∙ 72 * G. 2 ·∙ 72 H. 2 ·∙ 7 ⋅ 14 J. 22 ·∙ 49 2013 #38: All the minutes used by Mrs. Larsen and her 3 children for cell phone calls last month were reported in the same bill. § § § § The bill showed that a total of 1,850 minutes had been used last month. Mrs. Larsen used 462 minutes. Her son used twice as many minutes as she used. Each of her daughters used the same number of minutes. The expression below can be used to find the number of minutes each of Mrs. Larsen’s daughters used. (1,850 − 462 − 462×2) ÷ 2 What was the number of minutes each of Mrs. Larsen’s daughters used? F. 926 min G. 1 min H. 1,156 min * J. 232 min 2013 #46: Angie had a bag that contained 14 oranges. She put 3 of the oranges in her brother’s lunch box. She put 2 times as many oranges in the refrigerator as she put in her brother’s lunch box. She used the rest of the oranges to make orange juice. Based on the expression below, how many oranges did Angie use to make orange juice? 14 − (3 + 2 ∙ 3) F. 8 * G. 5 H. 1 J. 9 15 6th Grade Math Released STAAR Items by New TEKS 2013 – 7th Gr #23: What is the value of the expression shown below? 12 + 96 ÷ 3 ∙ 2! A. 288 B. 204 * C. 268 D. 216 2014 #6: Gracie borrowed $92 from her father. She has already paid back $12. She will pay him another $16 on Monday and then make equal payments of $4 until the rest of the money has been repaid. The expression below can be used to find the number of equal payments Gracie will need to make in order to repay the money. 92 − (12 + 16) 4 How many equal payments will Gracie need to make in order to repay the money? F. 24 * G. 16 H. 5 J. 27 2014 #24: The air temperature in Mrs. Stokes’ classroom was 90°F at 7:00 A.M. She turned on the air conditioner, and the air temperature decreased 2°F every 10 minutes for the next hour. By 8:30 A.M., the air temperature had decreased another 4°F. The expression below can be used to determine the air temperature in Mrs. Stokes’ classroom at 8:30 A.M. What was the air temperature in Mrs. Stokes’ classroom at 8:30 A.M.? 90 − 2 60 ÷ 10 − 4 * F. 74°F G. 70°F H. 86°F J. 82°F 2014 #46: There are a total of 950 boxes of shoes at a store. § § § Half of the boxes contain athletic shoes. Another 125 boxes contain dress shoes. Of the remaining boxes of shoes, 4 out of 5 boxes contain sandals. Based on the expression below, how many boxes at the store contain sandals? 4(950 ÷ 2 − 125) ÷ 5 * F. 280 G. 355 H. 450 J. 255 16 6th Grade Math Released STAAR Items by New TEKS 2014 #47: The ordered pairs below represent the location of 4 stops on a bus route. The location of the bus station is shown on the coordinate grid. Which stop is closest to the bus station? A. Stop K B. Stop L C. Stop M * D. Stop N 2014 - 7th Gr #23: What is the value of the expression below? A. * B. C. D. 6 + 5(9 ÷ 3)! 36 51 99 11 6.7D(R): Generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties. 2013 – Alg I #9: In which step below does a mistake first appear in simplifying the expression: Step 1: −6𝑐 + 3 − 3 𝑐 + 4 + 10(𝑐 − 5) Step 2: −6𝑐 + 3 − 3𝑐 − 12 + 10(𝑐 − 5) Step 3: −6𝑐 + 3 − 3𝑐 − 12 + 10𝑐 − 50 Step 4: 7𝑐 − 41 0.5 −12𝑐 + 6 − 3 𝑐 + 4 + 10(𝑐 − 5)? A. B. C. * D. Step 1 Step 2 Step 3 Step 4 17 6th Grade Math Released STAAR Items by New TEKS 2014 – Alg I #47: Which expression is equivalent to 3𝑐 * A. 2𝑐𝑑 − 34𝑐 + 4𝑑 − 7 ! ! 𝑑 − 9 − 7 𝑐 + 1 + 𝑑(𝑐 + 4)? B. 2𝑐𝑑 − 7𝑐 − 4 C. 2𝑐𝑑 + 34𝑐 + 4𝑑 + 7 D. 2𝑐𝑑 + 8𝑐 + 4 6.8A(S): Extend previous knowledge of triangles and their properties to include the sum of angles of a triangle, the relationship between the lengths of sides and measures of angles in a triangle, and determining when three lengths form a triangle. 2014 #30: In the triangle ABC, the measure of angle A is 70°. Angle B is congruent to angle C. What is the measure of angle B in degrees? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. * ANSWER: 55 6.8C(S): Write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers. 2014 #5: Xavier has a group of rectangular prisms. Each rectangular prism has a volume of 128 cubic centimeters and a height of 2 centimeters. The table shows the relationship between each prism’s length, l, and width, w. Rectangular Prisms Width, w Length, l (centimeters) (centimeters) 1 64 2 32 4 16 8 8 Which equation can Xavier use to find the length, l, in centimeters of a prism that has a width of w centimeters? !"# A. = 𝑙 + 𝑤 ! B. 2𝑥128 = 𝑙×𝑤 * C. !"# ! = 𝑙×𝑤 D. 2 + 128 = 𝑙×𝑤 18 6th Grade Math Released STAAR Items by New TEKS 6.8D(R): Determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular p risms where dimensions are positive rational numbers. 2013 #22: The diagram below shows 2 circles with the same center at point F. Points E. F, and G are on line segment DH. The diameter of the larger circle is 14 mm. What is the radius of the smaller circle? * F. 4 mm G. 7 mm H. 11 mm J. 8 mm 2013 #33: The figure below is a scale drawing of a design on a gym wall. Use the ruler provided to ! measure the dimensions of the figure to the nearest inch. ! Scale 1 inch : 2 feet Each inch on the scale drawing represents 2 feet of the actual design on the gym wall. Which of the following is closest to the perimeter of the actual design on the gym wall? A. 11 ft * B. 24 ft C. 12 ft D. 22 ft 19 6th Grade Math Released STAAR Items by New TEKS 2014 #14: Use the ruler provided to measure the two figures below to the nearest centimeter. Which of the following is closest to the combined areas of these figures in square centimeters? F. 31 cm2 G. 55 cm2 2 * H. 37 cm2 J. 47 cm one-‐variable, one-‐step equations and inequalities to represent constraints or 6.9A(S): Write conditions within problems. 2013 #9: On a spelling test Carlos had to spell 25 words. He earned 4 points for every word he spelled correctly. Which equation can be used to find p, the total number of points Carlos earned for spelling w words correctly? A. 𝑝 = 𝑤(25 − 4) B. 𝑝 = 4(25 − 𝑤) * C. 𝑝 = 4𝑤 D. 𝑝 = 4 + 𝑤 2013 #50: At a movie theater adult tickets cost $10, and child tickets cost $6. Which equation can be used to find s, the total number of dollars a family of k adults and 5 children would pay for movie tickets? F. 𝑠 = 10𝑘 + 6(5) * G. 𝑠 = 6𝑘 + 10(5) H. 𝑠 = (10 + 6) ∙ (𝑘 + 5) J. 𝑠 = 10𝑘 − 6(5) 2014 #12: A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight in water and ate half its weight in food. Which equation can be used to find t, the combined weight of the water and the food, in ounces that the hummingbird had on this day? ! F. 𝑡 = 𝑤 + 8 − ! ! G. 𝑡 = 𝑤 + 8 + ! * H. J. ! 𝑡 = 8𝑤 + ! ! 𝑡 = 2𝑤 + ! 20 6th Grade Math Released STAAR Items by New TEKS 2014 #28: Metal and glass make up 100% of a sculpture. If g represents the percentage of the sculpture that is made of glass, which equation can be used to find m, the percentage of the sculpture that is made of metal? F. 𝑔 − 100 = 𝑚 * G. H. J. 100 − 𝑔 = 𝑚 ! !"" = 𝑚 100 + 𝑔 = 𝑚 2014 #43: One week a family drank p pints of milk. Which equation can be used to find the number of gallons of milk, g, the family drank that week? A. 𝑝 = 𝑔 ÷ 4 B. 𝑝 = 𝑔 ÷ 4𝑥2 C. 𝑔 = 𝑝 ÷ 4 * D. 𝑔 = 𝑝 ÷ (4𝑥2) 6.11A(R): Graph points in all four quadrants using ordered pairs of rational numbers. 2013 #10: A polygon is shown on the coordinate grid. The list below shows ordered pairs representing the location of five vertices of the polygon. ! ! 2 , ! ! , ! ! ,1 ! ! ! ! , 1 , ! ! ! ! ! ! , 1 ,2 ! ! ! ! , (3 , 1 ) Which vertex is NOT represented by an ordered pair in the list? F. Vertex P * G. Vertex Q H. Vertex R J. Vertex S 21 6th Grade Math Released STAAR Items by New TEKS 2013 #29: Which ordered pair appears to be located 350 units to the right and 700 units up from point W? A. B. * C. D. (1,050, 875) (700, 1,050) (875,1,050) (1,225, 700) 2013 - 7th Gr #1: The route that Verlonda takes from her house to a store is represented on the grid below. Which ordered pair represents a point on Verlonda’s route? A. (0, −3) B. (−3, 6) C. (3, 4) * D. (3, 8) 22 6th Grade Math Released STAAR Items by New TEKS 2014 - 7th Gr #22: A picture of a seashell is shown on the coordinate grid below. Which ordered pair represents a point located within the picture of the seashell? F. G. H. * J. (-‐1,2) (-‐1,0) (0,2) None of these 2014 - 8th Gr #12: There are four points graphed on the grid below. ! ! Which point on the grid appears to be located at ( , − )? ! ! F. Point T G. Point U H. Point V * J. Point W 23 6th Grade Math Released STAAR Items by New TEKS 6.12A(R): Represent numeric data graphically, including dot plots, stem-‐and-‐leaf plots, histograms, and box plots. 2014 #38: The stem and leaf plot shows the length of several hermit crabs. Which linen plot best represents the data in the stem and leaf plot? * 2014 - 8th Gr #21: The number of students in each of 2 exercise classes was the same. The box and whisker plots below represent the average amount of time the students in each class spend exercising daily outside class. Based on the information in the box and whisker plots, which statement about the time spent exercising outside class appears to be true? A. The median amount of time the first class spent exercising was greater than the median amount of time the second class spent exercising. B. The range for the second class was less than the range for the first class. * C. The interquartile range for the first class was less than the interquartile range for the second class. D. The minimum amount of time the second class spent exercising was greater than the minimum amount of time the first class spent exercising. 24 6th Grade Math Released STAAR Items by New TEKS 6.12B(S): Use the graphical representation of numeric data to describe the center, spread, and shape of the data distribution. 2013 - 7th Gr #32: The table below shows the number of cotton bales imported by the United States from different countries and regions in one year. Cotton Imports What if the mean number of cotton bales imported from these countries, in thousands? Country or Region Egypt Hong Kong India Italy Japan Mexico Taiwan Bales (thousands) 450 475 1,250 1,100 925 1,750 1,050 Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. * ANSWER: 1000 2014 - 7th Gr #5: The list below shows the number of weeks different songs stayed at the top of a music ranking chart. Music Ranking Number of Weeks 5 10 9 9 2 5 5 3 What is the difference between the mode and the mean of these data? * A. 1 B. 3 C. 6 D. 5 25 6th Grade Math Released STAAR Items by New TEKS 6.12C(R): Summarize numeric data with numerical summaries, including the mean and median (measures of center) and the range and interquartile range (IQR) (measures of spread), and u se these summaries to describe the center, spread, and shape of the data distribution. 2013 #1: The list below shows the number of rides at nine different rodeos. 28, 7, 13, 7, 8, 12, 22, 14, 6 What is the median number of rides at these rodeos? A. 8 B. 22 C. 7 * D. 12 2013 – 8th Gr #13: A librarian recorded the number of books that were checked out on each of the last 9 days, as shown below. 142, 136, 125, 148, 150, 152, 115, 131, 136 Which measure of data does NOT describe a typical number of books checked out on these days? A. B. C. * D. Mean Median Mode Range 2014 #13: Ms. Porter had eight parties at her house last year. The number of guests at each party is shown below. 15, 19, 9, 27 , 21, 21, 10, 14 What is the median number of guests at these parties? * A. 17 B. 24 C. 18 D. 21 26 6th Grade Math Released STAAR Items by New TEKS 6.13A(R): Interpret numeric data summarized in dot p lots, stem-‐and-‐leaf plots, h istograms, and box p lots. 2013 #7: The pictograph below shows the number of samples of matter being tested in an experiment. Matter Being Tested Liquid Solid Gas Each represents 5 samples. Which statement is best supported by the information in the pictograph? * A. There are a total of 10 samples being tested in this experiment. B. The ratio of the number of gas samples being tested to the number of liquid samples is 1 to 10. C. The difference between the number of solid samples being tested and the number of gas samples is 3. D. The ratio of the number of liquid samples being tested to the total number of samples is 1 to 2. 2013 #24: William made the line plot below to show the length of 11 worms he found in his garden. Length of Worms (centimeters) 10.0 11.0 12.0 13.0 14.0 After he completed the line plot, he found a twelfth worm, which is modeled below. Use the ruler provided to measure the length of the worm to the nearest 0.5 centimeter. If the data for the twelfth worm are added to the line plot, which statement would be true? ! F. Exactly of the worms have a length that is less than 12.5 cm. ! G. For every worm that is 14.0 cm long, there are two worms that are 12.0 long. * H. J. For every worm that is 11.0 cm long, there is one worm that is 11.5 cm long. ! Exactly of the worms have a length that is greater than 11.0 cm. ! 27 6th Grade Math Released STAAR Items by New TEKS 2013 #39: The graph below shows the number of garbage cans that were emptied in five neighborhoods. Garbage Cans Emptied Neighborhood M N P Q R 0 50 200 Number 100 150 Which statement is best supported by the information in the graph? A. A total of 500 garbage cans were emptied in these 5 neighborhoods. * B. The combined number of garbage cans emptied in Neighborhood M and Neighborhood N is 50 more than then number of garbage cans emptied in Neighborhood P. C. The difference between the greatest number of garbage cans emptied and the least number of garbage cans emptied is 110. D. The combined number of garbage cans emptied in Neighborhood P and Neighborhood Q is 375 more than the number of garbage cans emptied in Neighborhood R. 2013 #43: The graph below shows how the prices of two different menu items at a restaurant have changed form Year 1 to Year 7. Menu Item Prices Price (dollars) KEY ▲ Hamburger ● Chicken sandwich Year If the prices continue to change in this same way, which statement is true? * A. In Year 8, the price of a hamburger will be $7.00. B. In Year 9, the price of a chicken sandwich will be $9.00. C. In Year 8, the difference between the price of a chicken sandwich and the price of a hamburger will be $1.00. D. In Year 9, the price of a chicken sandwich plus the price of a hamburger will be $16.50. 28 6th Grade Math Released STAAR Items by New TEKS 2014 #16: The 10 members of an art club collected a total of $520 during a fundraiser. The amounts collected by 9 of the members are represented on the line plot below. Amount Collected (dollars) How many dollars were collected by the tenth member of the art club? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. * ANSWER: 40 2014 #45: The pictograph below shows the number of packages of different brands of batteries that a store sold on Friday. Batteries Sold Each represents 250 packages Which statement is best supported by the information in the pictograph? A. The ratio of Brand P batteries to Brand Q batteries is 1:2. B. The ratio of Brand R batteries to the total number of batteries is 5:1. * C. D. Of all the packages of batteries sold, 20% were Brand R batteries. Of all the packages of batteries sold, 3% were Brand S batteries. 29 6th Grade Math Released STAAR Items by New TEKS 2014 #33: The graph below shows the number of students in a math club who voted for each of four types of pizza. Which statement is best supported by the graph? A. The number of students who voted for mushroom pizza is 2 times the number of students who voted for sausage pizza. B. The number of students who voted for sausage pizza is 13 more than the number of students who voted for cheese pizza. * C. The number of students who voted for pepperoni pizza is 6 fewer than then number of students who voted for mushroom pizza. D. The number of students who voted for cheese pizza is 1 more than the number of students who voted for pepperoni pizza. 6.13B(S): Distinguish between situations that yield data with and without variability. 2014 #7: The graph shows the number of hours that four businesses were open on Friday. Based on the information in the graph, which statement could be true? A. The dry cleaner opened at 6:15 A.M. and closed at 6:15 P.M. B. The restaurant opened at 11:45 A.M. and closed at 9:30 P.M. C. The post office opened at 9:00 A.M. and closed at 6:00 P.M. * D. The clinic opened at 7:30 A.M. and closed at 6:30 P.M. 30