M07 7 th Grade Math 1. Steven collected the following amounts from his friends to put together to buy pizza: $5.80, $6.15, $5.85, $5.60 and $6.32. He wanted to quickly know about how much he had altogether. Which estimation strategy would be best for finding a quick estimate of the total? Front-end estimation lustering Rounding ompatible Numbers 2. store was advertising ⅓ off the regular price of shoes. Niki wanted a pair that was originally $68. Niki s friend, Kim, said that the shoes would now be only about $23. Was Kim s estimate reasonable, and why or why not? Yes, because ⅓ of $68 is about $23 No, because the $23 should be added on to the $68 Yes, because the $23 savings was subtracted from the $68 No, because the $23 savings should be subtracted from the $68 3. Look at the number lines below. Which shows the closest estimate of the square root of 88? 9 88 10 9 88 10 9 88 10 9 88 10 MPS 2012 / M07 1
M07 7 th Grade Math 4. ndy ran a 15-kilometer race. If a kilometer is approximately 0.62 miles, about how many miles did ndy run? 9 miles 24 miles 32 miles 930 miles 5. You are making lemonade for the school carnival. You are planning to make 20 gallons of lemonade. If a gallon is approximately 3.8 liters, about how many liters of lemonade did you make? 23.8 liters 52 liters 75 liters 760 liters Use the following graph to answer the question. 6. What is the difference in the number of teen cell phone users between Town and Town in the year 2004? 55 95 105 184 MPS 2012 / M07 2
Weight in Pounds M07 7 th Grade Math Use the line graph below to answer the following question. Sam s Weight 180 160 140 120 100 80 60 40 20 0 0 5 10 15 20 25 ge in Years 7. Given the trend shown in the graph, which would be the best predicition for Sam s weight at age 30 years? 140 pounds 160 pounds 180 pounds 210 pounds Shelli s math teacher had test scores from the last test as follows: 80, 79, 72, 83, 80, 83, 75, 70, 61, 76, and 82 8. Which is the outlier of this set of data? 22 61 79 80 MPS 2012 / M07 3
M07 7 th Grade Math Temperatures during the first day of summer were recorded in various locations in the State of rizona. The data included: 96, 97, 99, 94, 93, 82, 101, 101, and 100 degrees 9. Which is the outlier of this set of data? 82 97 101 There is no outlier Use the following vertex-edge graph to answer the question. 10. Jacob wants to go from his home to the movie theater. efore he gets to the theater, he has to go to the store, the library, the bank, and the gas station. Which of the following is the shortest route he can take to get to the movie theater? Home-Library-ank-Store-Gas Station-Theater Home-Store-ank-Gas Station-Theater Home-Library-Store-ank-Gas Station-Theater Home-Store- ank-library-ank-gas Station-Theater MPS 2012 / M07 4
M07 7 th Grade Math Use the following vertex-edge graph to answer the question 11. Mary took the shortest route from her school to her house. On the way home, she stopped at the grocery store, the toy store, gas station, and the post office. Which of the following numbers represents the route she could have taken? 25 28 33 35 12. Given ST is a chord, which of the following is true about ST? The line touches the outside of the circle at only one point. oth end points are located on the circle. It is half the diameter. One of the end points is the center of the circle. 13. Which of the following describes the relationship between the central angle and its intercepted arc? The central angle is half of its intercepted arc The central angle is double its intercepted arc The central angle is congruent to its intercepted arc. The central angle is supplementary to its intercepted arc MPS 2012 / M07 5
M07 7 th Grade Math 14. When two parallel lines are cut by a transversal, which of the following is true? ll alternate exterior angles are complementary ll adjacent angles are supplementary ll corresponding angles are supplementary ll alternate interior angles are complementary 15. Lines p and q are cut by a transversal. ngle 1 is congruent to ngle 7 because: They are supplementary. They are alternate interior angles. They are complementary. They are alternate exterior angles. 16. How many pairs of parallel faces are in the following figure? 1 3 6 8 17. Which of the following figures would have 5 vertices? triangular prism triangular pyramid rectangular prism rectangular pyramid MPS 2012 / M07 6
M07 7 th Grade Math 18. What is the sum of the interior angles in a pentagon? 180 360 540 900 19. Which of the following statements is true about congruent figures? orresponding sides are congruent but the corresponding angles are not congruent. orresponding angles are congruent but the corresponding sides are not congruent. No corresponding sides or corresponding angles are congruent. ll corresponding sides and all corresponding angles are congruent. 20. The vertices of triangle are: (1,1), (1,4), and (5,1). Translate triangle two spaces down and then reflect it across the y axis. What are the coordinates for the new triangle? (1,-1), (1,2), (5,-1) (-1,-1), (-1,2), (-5,-1) (-1,1), (-1,4), (-5,1) (-1,-1), (2,-1), (-1,-5) 21. Using the following figure, what is the area of the circle, if using 3.14 for pi? 12.56 cm 2 25.12 cm 2 50.24 cm 2 200.96 cm 2 MPS 2012 / M07 7
M07 7 th Grade Math 22. Using the following figure, what is the circumference of the circle, if using 3.14 for pi? 15.7 cm 25 cm 31.4 cm 78.5 cm 23. What is the area of the figure shown? (Round your answer to the nearest whole number. Figures are not drawn to scale.) 58 ft 2 75 ft 2 108 ft 2 115 ft 2 24. ob is building a sandbox for the neighborhood park. The sandbox will be 25 feet long and 30 feet wide. It will be filled with sand to a depth of 1¼ feet. How much sand will be needed for the sandbox? 56¼ ft 3 750 ft 3 937½ ft 3 1,637½ ft 3 25. Which formulas could be used to find the area of the composite figure? = lw; = bh 2 = ( b1 + b2) ; = πr 2 2 = πd; = bh = p r 2 2 ; = lw MPS 2012 / M07 8
M07 7 th Grade Math Read the following problem. etermine if you have enough information to solve it and explain why. 26. George was filling up a rectangular container with beans. The container had a height of 10 inches and a length of 5 inches. The container held a total of 200 in. 3 of beans. What is the width of the container? Yes, I can solve the problem, because I can multiply the length by the height, then divide the total of beans by the product. Yes, I can solve the problem, because I can add the length and the height, then subtract the sum from the total of beans. Yes, I can solve the problem, because I can multiply the length by the height, then multiply that product by the total. No, I cannot solve the problem, because there is not enough information 27. Which best completes this mathematical statement: d? = ircumference d = diameter 3 4 5 6 28. In Rochelle's English class, the teachers' grading scale requires at least an 84% to get a. On her first four quizzes, Rochelle had scores of 87%, 70%, 92%, and 79%. What is the lowest score Rochelle can receive on the last quiz to earn a in English? 84% 86% 87% 92% 29. Marie's bowling scores were: 149, 183, 149, 193, 148, and her final game was a 125. Which of the following is most affected by her final score? mean median mode range MPS 2012 / M07 9
M07 7 th Grade Math The results of a study of coal, petroleum & natural gas consumption are graphed below. 30. ased on the information in the graph, which of the following is most likely to occur in the year 2000? oal consumption increases, P & NG consumption increases oal consumption increases, P & NG consumption decreases oal consumption decreases, P & NG consumption increases oal consumption decreases, P & NG consumption decreases 31. etween which two consecutive integers is the value of this irrational number? 453 10 to 11 15 to 16 20 to 21 21 to 22 MPS 2012 / M07 10
M07 7 th Grade Math 32. Using the above graph, about how many students watch more than 7 hours of television? 3 students 6 students 8 students 10 students 33. Given the numbers shown, which list shows the values in ascending order? 3, 30%, 3 7, 0.3 3 30% 3 7 0.3 3, 3, 0.3, 30% 7 0.3, 30%, 3 7, 3 30%, 0.3, 3 7, 3 34. Four out of five of Matt's test scores were 89, 92, 93, and 91. If Matt's 5-test average is 91, what was his fifth test score? 89 90 91 92 MPS 2012 / M07 11