BAKERSFIELD CITY SCHOOL DISTRICT Education Center – 1300 Baker Street Bakersfield, CA 93305 Curriculum and Standards MATH BOWL 30th Annual 5th Grade Super Star / Dynamic Duo PRACTICE 1. 715 478 A. 2758 B. 2762 893 + 682 C. 2767 D. 2769 E. None of these A. 2203 B. 1197 C. 1187 D. 1189 E. None of these A. $22.18 B. $11.24 C. $22.14 D. $22.24 E. None of these A. 1.22 B. 13.48 C. 12.52 D. 12.48 E. None of these 2. 3082 −1885 3. 4. $12 + $3.64 + $0.57 + $5.97 = 16 − 3.48 = MATH BOWL 2016 5th Grade Super Star / Dynamic Duo PRACTICE 1 5. 6. 7. 8. Write five hundred five thousandths in standard form. A. 505,000 B. 5,005 C. 0.505 D. 0.0505 E. None of these How much greater is the value of the 6 than the value of the 3 in 456,312? A. 1,000 B. 100 C. 5,700 D. 570 E. None of these 1 Which number is equivalent to 4 (1000 ) + 2 (100 ) + 5 × ? 100 A. 4,200.05 B. 4205 C. 4250 D. 0.405 E. none of these A. 360 B. 30,000 C. 300,000 D. 3,000,000 E. none of these Which number represents 3 × 105 MATH BOWL 2016 5th Grade Super Star / Dynamic Duo PRACTICE 2 9. 758 × 312 A. 234,496 B. 235,486 C. 235,596 D. 235,496 E. 236,496 A. 4.66 B. 4.76 C. 4.78 D. 4.86 E. 4.96 A. 132 B. 103 C. 130 D. 122 E. none of these A. 747 B. 7.47 C. 748 D. 7.48 E. 7.57 10. 2.7 × 1.8 11. 24 3168 12. 9 67.32 MATH BOWL 2016 5th Grade Super Star / Dynamic Duo PRACTICE 3 13. Jake purchased four steaks for a barbeque. The steaks weighed 0.9, 1.3, 2.5, and 0.85 pounds. What was the total weight of Jake’s purchase? A. 5.45 B. 5.5 C. 5.55 D. 5.6 E. none of these 14. The Great Western food stand at the Kern County Fair bought 100 pounds of cotton candy. In the first two days they sold 30.56 and 28.68 pounds of it. How much was remaining from the 100 pounds? A. 40.76 B. 41.76 C. 41.66 D. 41.56 E. none of these 15. Identify the point below. MATH BOWL 2016 A. (3, −3) B. ( −3, −3) C. (3, 3) D. (3, −4) E. (4, −3) 5th Grade Super Star / Dynamic Duo PRACTICE 4 16. A sea turtle eats 2.55 pounds of fish each day. How many pounds does it eat in one week? A. 16.95 B. 17.85 C. 17.95 D. 18.05 E. none of these 17. Javier bought 7 pounds of fish. He saved $6.02 by using a store coupon. How much did he save per pound of fish? A. $0.78 B. $0.76 C. $0.86 D. $0.96 E. none of these A. 4×9 B. 2×2×2×2×2 C. 2×2×2×3 D. 2×2×3×3 E. none of these 18. Find the prime factors of 36. 19. Round 12.078 to the nearest hundredth. MATH BOWL 2016 A. 0 B. 12.08 C. 12.0 D. 12.07 E. 12.1 5th Grade Super Star / Dynamic Duo PRACTICE 5 20. Find “x” in the table below. 4 8 12 16 12 24 36 X A. 40 B. 42 C. 44 D. 46 E. none of these C. = C. 2 1 > 3 2 C. 3 1 + 8 4 21. Compare the following decimals: A. > 21.13 B. 21.21 < 22. Which of the following statements is NOT TRUE? A. 1 1 < 3 4 B. 1 1 < 3 2 C. 3 1 > 4 2 E. none of these 23. Which sum is greater than 1 ? 2 A. 1 1 + 4 4 B. 1 1 + 8 4 D. 1 3 + 8 8 E. none of these MATH BOWL 2016 5th Grade Super Star / Dynamic Duo PRACTICE 6 24. 3 1 2 +2 = 5 4 A. 4 4 9 B. 4 17 20 C. 4 9 10 D. 4 4 5 E. none of these 25. The map below shows the location of 4 different stores. Which store is located at coordinate ( −1 ,3)? A. B. C. D. Hardware Store Grocery Store Shoe Store Toy Store A. 3 8 cm 4 B. 9 cm C. 1 9 cm 4 D. 10 cm 26. What is the perimeter of the rectangle? 1 1 cm 4 3 3 cm 4 MATH BOWL 2016 5th Grade Super Star / Dynamic Duo PRACTICE 7 27. What is the area of the rectangle? 1 1 in 4 3 3 in 4 A. 3 3 2 in 8 B. 4 1 2 in 2 C. 4 11 2 in 16 D. 4 3 2 in 4 28. Regina’s piano teacher kept this record of Regina’s progress on a song she is memorizing. How many days of practice did it take for Regina to memorize one-half of the song? A. 4 B. 5 C. 6 D. 9 E. 10 29. The rectangular prism below has a length of 5 cm, a height of 3 cm, and a width of 2 cm. What is the volume? 5 cm 3 cm A. 30 cm3 B. 28 cm3 C. 24 cm3 D. 20 cm3 2 cm MATH BOWL 2016 5th Grade Super Star / Dynamic Duo PRACTICE 8 30. 7 1 − = 8 6 A. 13 24 B. 7 12 C. 5 8 D. 2 3 E. none of these 3 1 cups of barbeque sauce. He used cup to finish cooking on the grill. How 8 4 much did he have left? 31. Chief Teddy had A. 5 8 B. 1 2 C. 3 8 D. 5 16 E. none of these A. 5 11 12 B. 5 3 7 C. 5 5 12 D. 6 1 12 32. 1 3 3 +2 4 3 33. Two meters is the same as MATH BOWL 2016 ? centimeters? A 2 B. 20 C. 200 D. 2000 E. none of these 5th Grade Super Star / Dynamic Duo PRACTICE 9 34. What is 1 ÷ 5? 4 A. 1 1 4 B. 5 4 C. 1 11 D. 1 20 E. none of these 35. Point ( −3 , −2 ) is located in which quadrant? II III 36. I A. I B. II C. III D. IV IV 1 gallon of water. If they share the water equally, what 2 fraction of the water will each person get? Two cyclists are on a trip and one has A. C. MATH BOWL 2016 1 4 1 8 B. 2 4 D. 1 2 5th Grade Super Star / Dynamic Duo PRACTICE 10 37. The following visual model represents which product? A. 16 8 8 × = 25 10 25 B. 8 1 8 × = 20 5 25 C. 4 2 8 × = 5 5 25 D. 25 × 8 2 = 10 25 38. Forty-eight inches is the same as how many feet? A. 1 B. 2 C. 3 D. 24 E. none of these 39. Which of the following has the largest product? A. 0.3 x 0.9 B. 3 x 0.9 C. 3x9 D. 0.3 x 9 40. One-fourth of an extra-large pizza is left for three brothers to eat for a snack. If each brother gets an equal part, how much of the original pizza did each receive? MATH BOWL 2016 A. 1 8 B. 1 12 C. 2 D. 12 E. none of these 5th Grade Super Star / Dynamic Duo PRACTICE 11 41. Each week the 18 students in Mr. Jackson’s class walk for health and exercise. How many miles did Mr. Jackson's class walk? Mr. Jackson’s Class X 1 X X X 2 X X X X X X X X X X 3 4 5 miles walked X X 6 A. 70 B. 71 C. 72 D. 73 E. 74 X X 7 42. Find the volume of the figure below. A. 9 m3 B. 12 m3 C. 10 m3 D. 16 m3 E. none of these 43. Find the volume of the figure below. MATH BOWL 2016 A. 24 cm3 B. 32 cm3 C. 36 cm3 D. 40 cm3 E. none of these 5th Grade Super Star / Dynamic Duo PRACTICE 12 44. How many inch cubes are used to build the figure below? A. 32 B. 34 C. 36 D. 38 E. None of these 45. Find the area of the square. A. 5 in2 B. 20 in2 C. 25 in2 D. 10 in2 E. None of these A. 182 B. 192 C. 19.2 D. 1.92 E. 0.192 5 46. 47. 0.32 x 0.6 17 ÷ 4 = A. 4.1 B. 4.2 D. 1.94.5 E. 4.75 MATH BOWL 2016 C. 4.25 5th Grade Super Star / Dynamic Duo PRACTICE 13 48. Kulani is painting his room. He needs 1/3 of a gallon to paint the whole room. What fraction of a gallon will he need for each of his 4 walls if he uses the same amount of paint on each? 49. Avery and Megan are cutting paper to make origami stars. They need 1/5 of a sheet of paper in order to make each star. If they have 6 sheets of paper, how many stars can they make? 50. The students in Raul’s class were growing grass seedlings in different conditions for a science project. He noticed that Pablo’s seedlings were 1 1/2 times a tall as his own seedlings. He also saw that Celina’s seedlings were 3/4 as tall as his own. Which of the seedlings shown below must belong to which student? MATH BOWL 2016 5th Grade Super Star / Dynamic Duo PRACTICE 14 Answer 30. E – 17/24 1. E - 2768 31. A 2. B 32. D 3. A 33. C 4. C 34. D 5. C 35. C 6. C 36. A 7. A 37. C 8. C 38. E - 4 9. E 39. C 10. D 40. B 11. A 41. D 12. D 42. B 13. C 43. C 14. A 44. C 15. B 45. C 16. B 46. E 17. C 47. C 18. D 19. B 20. E - 48 21. B 22. A 23. C 24. B 25. C 26. D 27. C 28. B 29. A 48. In order to find out what fraction of a gallon of paint Kulani will use on each wall, we need to divide the amount of paint that he has, of a gallon, by 4. We know that the fraction represents 1 piece where 3 equal pieces make a whole gallon. We can draw a rectangle that represents a whole gallon and shade of it to represent the amount of paint he has. If we divide each of the 3 equal pieces in the picture into 4 smaller, equal-sized pieces, then the whole gallon is now divided into 4 x 3 = 12 equal pieces. This means that one of these new, smaller equal pieces represent the fraction MATH BOWL 2016 . 5th Grade Super Star / Dynamic Duo PRACTICE 15 49. In order to find out how many origami stars Avery and Megan can make, we need to find out how many pieces equivalent to of a sheet of paper we can divide the 6 pieces of paper into. This means that the answer to this question will be the solution to the following division problem: 6 Based on our understanding of fractions, we know that there are 5 pieces of that are equivalent to of a sheet in each sheet of paper. This means that there are 6×5=30 pieces 50. Since Pablo’s seedlings are 1 times as tall as Raul’s, Pablo’s seedlings must be taller than Raul’s. pablo’s seedlings look like Raul’s seedlings scaled by a factor larger than 1. Since Celina’s seedlings are as tall as Raul’s, Celina’s seedlings must be shorter than Raul’s. Celina’s seedlings look like Raul’s seedlings scaled by a factor smaller than 1. Celina’s seedlings are shorter than Raul’s and Pablo’s are taller than Raul’s. Thus, the seedlings in pot A belong to Celina, the seedlings in pot B to Raul, and the seedlings in pot C belong to Pablo. of paper with size of a sheet in the 6 sheets of paper that Avery and Megan have to make their stars. We know that this is true because 30× = 6. Based on our understanding of the relationship between multiplication and division, this tells us that 6÷ =30. Thus, Avery and Megan can make 30 origami stars. The picture below shows that this is correct: MATH BOWL 2016 5th Grade Super Star / Dynamic Duo PRACTICE 16
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