Governor's Cup Mathematics Past Paper 2020 PDF

Mathematics 2020 – Elementary District Student Instructions: Write your complete ID code on your answer sheet. If you change your answer, erase well. 1. Which answer choice represents the number 1,385,65...

Mathematics 2020 – Elementary District Student Instructions: Write your complete ID code on your answer sheet. If you change your answer, erase well. 1. Which answer choice represents the number 1,385,652 when rounded to the nearest one hundred? A. 1,400,000 B. 1,386,000 C. 1,385,600 D. 1,385,700 2. Which number below is less than 5.185 ? A. 5.163 B. 5.193 C. 5.205 D. 5.188 3. The numbers listed are to be placed in order from least to greatest. Which number must be listed third? 8.75, 4.68, 5.232, 7.41, 6.98 A. 5.232 B. 4.68 C. 6.98 D. 7.41 4. What is the mean of the set of data? 30, 34, 61, 28, 54, 45 A. 45 B. 40 C. 42 D. 50 5. The box and whisker plot shown at the right represents SAT scores from Mrs. Thompson’s students. What is the range of this data? A. 720 B. 500 C. 560 D. 470 6. The line plot shows the distances which teachers at Polk Elementary School live away from the school. What is the median of the data? A. 27 B. 24 C. 23 D. 22 2020 Governor’s Cup – Elementary District Mathematics - Page 1 7. What is the greatest common factor for 105 and 245? A. 35 B. 5 C. 25 D. 70 8. Which answer choice below must replace the “?” so that the list of numbers will have a sum of 400? 55, 68, 41, 66, 37, ?, 49 A. 114 B. 68 C. 77 D. 84 9. Lizzie has been walking her dog every day this week. The table below shows the distances Lizzie walked. How much further would Lizzie have had to walk in order to cover a total distance of 9 miles? Monday Tuesday Wednesday Thursday Friday 1.2 miles 1.3 miles 1.7 miles 1.5 miles 1.8 miles A. 2.5 miles B. 1.5 miles C. 0.5 miles D. 0.7 miles 10. What is the difference between 5 3⁄4 − 2 1⁄4 ? A. 3 1⁄2 B. 2 1⁄2 C. 2 1⁄4 D. 3 1⁄4 11. Mary is making a triangular sign for her room and wants to outline it with ribbon. Each side of the sign measures 4 1⁄5 inches. How much ribbon does Mary need? A. 9 3⁄4 B. 8 2⁄5 C. 12 3⁄5 D. 16 3⁄4 12. Mr. Martin’s class is having a party and Susie is setting out four bowls for punch. If Susie has ½ gallon of punch, how much should she pour into each bowl? A. 1⁄ 𝑔𝑎𝑙𝑙𝑜𝑛 8 B. 1⁄ 𝑔𝑎𝑙𝑙𝑜𝑛 4 C. 1⁄ 𝑔𝑎𝑙𝑙𝑜𝑛 6 D. 1⁄ 𝑔𝑎𝑙𝑙𝑜𝑛 5 2020 Governor’s Cup – Elementary District Mathematics - Page 2 13. Calaveras County Elementary School has 168 female students in the fifth grade. If the ratio of boys to girls in the fifth grade is 6 to 7, how many fifth graders are male? A. 196 B. 168 C. 144 D. 84 14. Jayden’s allowance is currently $5.00 but her parents have promised to raise her allowance by 10% if she earns an A in every subject on her next report card. What will be Jayden’s new allowance? A. $6.00 B. $5.25 C. $6.25 D. $5.50 15. By state law, the number of children attending a day care center is proportional to the number of workers. If there must be 2 adult workers for every 8 children, how many workers are needed for 144 children? A. 16 B. 36 C. 18 D. 20 16. Which measurement in the answer choices given below represents the greatest length? A. 3 yards B. 8 feet C. 110 inches D. All these measurements are equal to each other. 17. Jumanji is an African elephant who weighed 235 pounds when he was born. As an adult, Jumanji now weighs 6 tons. How many pounds has Jumanji gained so far? A. 11,765 pounds B. 8, 325 pounds C. 4. 655 pounds D. 1, 765 pounds 18. Nelson is wrapping a birthday gift for his mom. He begins with 2 meters of ribbon and cuts off 44 centimeters to use on the gift. How many centimeters of the ribbon is left? A. 256 centimeters B. 56 centimeters C. 156 centimeters D. 144 centimeters 2020 Governor’s Cup – Elementary District Mathematics - Page 3  Use the graph of the linear function shown on the coordinate plane at the right to answer questions 19 and 20. 19. Which list of ordered pairs given in the answer choices matches the ordered pairs graphed? A. (3, 0), (0, 6) B. (3, 0), (6, 0) C. (-3, 0), (-6, 0) D. (-3, 0), (0, 6) 20. In the graph shown above, which number will represent the y-value when the x-value is 3? A. y=6 B. y=8 C. y = 12 D. y = 14 21. Jake started taking swim lessons three weeks before Caleb did. In the table given,”a” represents the number of weeks Jake has been attending swim class and “b” represents the number of weeks Caleb has been in class. Which answer choice fits in place of the question mark? b 2 ? 7 11 a 5 8 10 14 A. 6 B. 5 C. 4 D. 3 22. Which name best describes a triangle with two equal sides and two equal angles? A. scalene B. isosceles C. equilateral D. acute 23. In the figure shown with two lines intersecting and forming angles numbered 1 through 4, which pair of angles must be supplementary? A. 1 and 3 B. 2 and 4 C. 2 and 3 D. no angles are supplementary 24. Annie’s rectangular sand box has a length of 6 feet and a width of 9 feet. What is its perimeter? A. 12 feet B. 15 feet C. 18 feet D. 30 feet 2020 Governor’s Cup – Elementary District Mathematics - Page 4 25. What is the area of the parallelogram? A. 13.65 square inches B. 19.4 square inches C. 9.7 square inches D. 27.3 square inches 26. How many lines of symmetry does a regular hexagon have? A. 12 B. 10 C. 8 D. 6 27. A fair coin is tossed twice. What is the probability of getting heads both times? A. 0 B. 1⁄ 8 C. 1⁄ 4 D. 1 28. A fair six-sided number cube is rolled. What is the probability of rolling a 3? A. 1⁄ 2 B. 1⁄ 6 C. 1⁄ 4 D. 1⁄8 29. What is the value of the expression given when z = 4? 44 ÷ 𝑧 A. 11 B. 4 C. 1 D. 2 30. Four fewer than twice a number equals 6. Which equation represents this sentence? A. 2𝑛 − 4 = 6 B. 4 − 2𝑛 = 6 C. 2𝑛 + 4 = 6 D. 4 + 2𝑛 = 6 TIEBREAKERS 31-36 31. Two angles of a triangle measure 72  and 46 . What is the measure of the remaining angle? A. 72  B. 46  C. 98  D. 62  32. The volume of a cube is 216 cubic centimeters. What is the length of one side of the cube? A. 8 centimeters B. 4 centimeters C. 6 centimeters D. 12 centimeters 2020 Governor’s Cup – Elementary District Mathematics - Page 5 33. Which transformation has been performed on the figure shown? A. reduction B. rotation C. translation D. reflection 34. What is the value of this expression? 5 x 6 + 3 – 8 + 16 ÷ 4 A. 11 B. 29 C. 31 D. 25 35. Your math teacher draws numbers from a box to assign problems to students. The box contains cards numbered 1 to 32. What is the probability that your teacher will draw out a card containing a number that is evenly divisible by 6? A. 1⁄ 2 B. 1⁄ 8 C. 5⁄ 32 D. 5⁄ 16 36. What is the value of the variable in the equation? 4𝑥 − 5 = 19 A. 6 B. 3 C. 8 D. 4 2020 Governor’s Cup – Elementary District Mathematics - Page 6  Mathematics – Elementary District 2020 Governor’s Cup 1. D 2. A 3. C 4. C 5. D 6. B 7. A 8. D 9. B 10. A 11. C 12. A 13. C 14. D 15. B 16. C 17. A 18. C 19. D 20. C 21. B 22. B 23. C 24. D 25. A 26. D 27. C 28. B 29. A 30. A 31. D TIEBREAKERS 31-36 32. C 33. D 34. B 35. C 36. A Notes for Inquiry Panel Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # : Question # :