8th Grade TAKS Released Tests by Objective Objective Numbers, operations, and quantitative reasoning Patterns, relationships, and algebraic reasoning Geometry and spatial reasoning Measurement Probability and statistics Mathematical processes and tools Objective 1: The student will demonstrate an understanding of numbers, operations, and quantitative reasoning (8.1) Number, operation, and quantitative reasoning The student understands that different forms of numbers are appropriate for different situations The student is expected to (A) compare and order rational numbers in various forms including integers, percents, and positive and negative fractions and decimals; Several stores are having sales The prices are reduced by 62.5%, ⅔, 75%, ½, and 7/10 Which list shows the price reductions from greatest to least? A 75%, 62.5%, ½, ⅔, 7/10 B 75%, 7/10, ⅔, 62.5%, ½ C 75%, 7/10, 62.5%, ½, ⅔ D 75%, 7/10, 62.5%, ⅔, ½ Correct Answer - B Spring 2006 #31 Which fraction is between ⅔ and ¾? A ½ B 3/5 C 5/7 D ⅞ Correct Answer - C Spring 2004 #25 A librarian arranged some books on the shelf using the Dewey decimal system Choose the group of book numbers that is listed in order from least to greatest F 549.010, 549.101, 549.02, 549.3 G 392.4, 397.46, 399.53, 399.062 H 101.2, 101.04, 104.21, 110.0 J 834, 834.19, 834.2, 834.29 Correct Answer - J Spring 2003 #42 (8.1) Number, operation, and quantitative reasoning The student understands that different forms of numbers are appropriate for different situations The student is expected to (B) select and use appropriate forms of rational numbers to solve real-life problems, including those involving proportional relationships; The Texas state flag is rectangular and has a width-to-length ratio of 2:3 Which of the following can be used to find l, the length of a Texas flag with a width of 28 inches? A + 28 = + l B C D l = 28 28 = l ∙ 28 = ∙ l Correct Answer - C Spring 2006 #27 Carlos, Jackie, Lester, and Margie ate lunch at a restaurant The total amount of the bill, including tax and tip, was $44.60 Carlos paid $15.00, Jackie paid ¼ of the bill, Lester paid 20% of the bill, and Margie paid the rest of the bill Who paid the greatest part of the bill? F Carlos G Jackie H Lester J Margie Correct Answer - F Spring 2004 #40 A bag of mixed Yummy Gummies contains 26% green, 34% red, 24% blue, and 16% yellow gummies Carla put 250 mixed gummies in a bowl Which proportion can be used to find y, the total number of yellow gummies in the bowl? Correct Answer - G Spring 2003 #2 Zeb used the rule listed below to rewrite the expression 102 x 105 10m x 10n = 10m+n Based on this rule, which of these is equivalent to the expression 8-4 x 86? F 8-10, because 8-4 x 86 = 8-4 - G 810, because 8-4 x 86 = 84 + H 8-2, because 8-4 x 86 = 84 - J 82, because 8-4 x 86 = 8-4 + Correct Answer - J April 2006 #6 ∆LMN is similar to ∆XYZ Which procedure can be used to find the number of degrees in N? A Subtract 100 from 360 B Subtract 100 from 180 C Divide 100 by D Divide 180 by Correct Answer - B April 2004 #9 The figure below shows three shaded equilateral triangles inside a rectangle Which statement about this figure is true? A The shaded area is more than 50% of the area of the rectangle B The shaded area is ¾ of the unshaded area of the rectangle C The unshaded area is ⅔ of the shaded area of the rectangle D The shaded area is equal to the unshaded area of the rectangle Correct Answer - D April 2004 #31 Before the last game of the basketball season, Fernando had scored a total of 73 points He scored 20 points in the last game, making his season average 15.5 points per game To find the total number of games he played, first find the sum of 73 and 20 and then — F add the sum to 15.5 G subtract 15.5 from 73 H multiply the sum by 15.5 J divide the sum by 15.5 Correct Answer - J Spring 2003 #18 (8.16) Underlying processes and mathematical tools The student uses logical reasoning to make conjectures and verify conclusions The student is expected to (A) make conjectures from patterns or sets of examples and nonexamples The table shows n, the number of sides of a polygon, and S, the sum of the measures of the interior angles of that polygon Based on the table, which statement is true? A The sum of the interior angle measures decreases by ½ for each side increase on B The sum of the interior angle measures increases by 180° for each side increase of C The sum of the interior angle measures doubles for each side increase of D The sum of the interior angle measures is a whole-number multiple of 360° Correct Answer - B April 2006 #9 This Venn diagram is used to classify counting numbers according to a set of rules Which one of the following numbers belongs in the region of the diagram marked by the question mark? A 45 B 50 C 60 D 65 Correct Answer - C April 2006 #39 A pattern of equations is shown below Which statement best describes this pattern of equations? 1% of 800 = 2% of 400 = 4% of 200 = 8% of 100 = 16% of 50 = F When the percent is doubled and the other number is halved, the answer is G When the percent is doubled and the other number is doubled, the answer is H When the percent is increased by and the other number remains the same, the answer is J When the percent remains the same and the other number is increased by 2, the answer is Correct Answer - F April 2004 #10 The figures below have a repeating pattern Which shows a 180° rotation of the 19th figure in the pattern? Correct Answer - G Spring 2003 #20 (8.16) Underlying processes and mathematical tools The student uses logical reasoning to make conjectures and verify conclusions The student is expected to (B) validate his/her conclusions using mathematical properties and relationships A set of parentheses is missing from the expression below 15 - + · + Which of the following expressions has the parentheses in the correct place for the expression to equal 52? F G H J 15 - (5 + · 2) + (15 - + 7) · + 15 - (5 + · + 4) 15 - + · (2 + 4) Correct Answer - J April 2006 #8 Raymond packs boxes for an appliance company He can pack a large box in 10 minutes and a small box in minutes He needs to pack 10 large boxes and 20 small boxes If 2.5 hours remain before closing time, will Raymond have time to finish the work before closing time if he works without stopping? F Yes, Raymond will finish the work in 1.8 hours G No, it will take him hours to finish H Yes, Raymond will finish the work in 8.5 hours J No, it will take him hours to finish Correct Answer - J April 2006 #12 Mrs Avery bought a 5-pound bag of white potatoes for $4.25 If red potatoes sold for $0.89 per pound, why did Mrs Avery believe that she made the better buy? A The number of red potatoes in a 5-pound bag is greater than the number of white potatoes in a 5-pound bag B The cost for all kinds of potatoes in 5-pound bags is the same C The cost per pound of white potatoes is $0.04 less than the cost per pound of red potatoes D The cost per pound of white potatoes is $0.04 more than the cost per pound of red potatoes Correct Answer - C April 2004 #29 Valdemar has a spinner like the one shown below Valdemar would like to increase the chances of the following events: •Spinning an even number •Spinning a number less than •Spinning the square root of Valdemar decides to remove the from the spinner Which statement best supports his reasoning? A The number takes up more space on the spinner B Spinning the number has the greatest probability C The number is the greatest number D Spinning the number is not a desired event Correct Answer - D April 2004 #41 The following statements are true about ∆XYZ • The measure of each angle is evenly divisible by 12 • The measure of ∠Z is greater than the measure of ∠Y • The measure of ∠Y is greater than the measure of ∠X • The measure of ∠X is greater than 40° Which choice fits all statements for angles X, Y, and Z? F m∠X = 72° m∠Y = 60° m∠Z = 48° H m∠X = 50° m∠Y = 60° m∠Z = 70° G m∠X = 60° m∠Y = 72° m∠Z = 48° J m∠X = 48° m∠Y = 60° m∠Z = 72° Correct Answer - J Spring 2003 #44 [...]... Harrington wrote four irrational numbers on the board and asked Jared to choose the number closest to 3 Which irrational number should Jared choose? F √6 G √10 H 12 J √14 Correct Answer - G Spring 2004 #42 The area of a square is 125 square meters Which best represents the length of a side of the square? F 10.8 m G 11.2 m H 11.9 m J 12 m Correct Answer - G Spring 2003 #30 (8.1) Number, operation, and... rational numbers in problem situations; A recipe for 12 waffles calls for 1½ cups of milk, 2¼ cups of flour, and 1⅓ cups of other ingredients How many cups of milk, flour, and other ingredients are needed to make 36 waffles? A 20⅓ cups B 15¼ cups C 12 cups D 5 1 /12 cups Correct Answer - B April 2006 #11 On Friday the low temperature in Nome, Alaska, was -12 F, and the high temperature was 23°F How much... 2003 #21 A jeweler bought 2 meters of silver chain She used 20 centimeters to make a bracelet and 60 centimeters to make a necklace How many meters of silver chain did she have left? F 1,200 m G 120 m H 1.2 m J 0 .12 m Correct Answer - H Spring 2003 #24 (8.2) Number, operation, and quantitative reasoning The student selects and uses appropriate operations to solve problems and justify solutions The student... and the high temperature was 23°F How much warmer was the high temperature than the low temperature? A -35°F B -11°F C 11°F D 35°F Correct Answer - D Spring 2004 #35 A gift basket contains 6⅔ ounces of chocolate candy, 4½ ounces of hard candy, and 4 ounces of dried fruit What is the total weight of the contents of the gift basket? A 11 1/6 oz B 14½ oz C 14 3/5 oz D 15 1/6 oz Correct Answer - D Spring... amount for each monthly payment? F $50.00 G $150.00 H $113.00 J $67.00 Correct Answer - J Spring 2004 #16 Ms Gonzalez’s monthly electricity bills for March through June were $97.09, $103.96, $114.73, and $121 .82 She estimated that the electricity cost a total of $400.00 over these 4 months Which best describes her estimate? A Less than actual amount because she rounded to nearest $100 B Less than actual ... and asked Jared to choose the number closest to Which irrational number should Jared choose? F √6 G √10 H 12 J √14 Correct Answer - G Spring 2004 #42 The area of a square is 125 square meters... to make 36 waffles? A 20⅓ cups B 15¼ cups C 12 cups D 1 /12 cups Correct Answer - B April 2006 #11 On Friday the low temperature in Nome, Alaska, was -12 F, and the high temperature was 23°F How... centimeters to make a necklace How many meters of silver chain did she have left? F 1,200 m G 120 m H 1.2 m J 0 .12 m Correct Answer - H Spring 2003 #24 (8.2) Number, operation, and quantitative reasoning