# 1. One number in this pattern is wrong.

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1 North arolina Testing Program EOG Grade 5 Math Sample Items Goal 5 1. One number in this pattern is wrong What change should be made to correct this pattern? replace 26 with 24 replace 26 with 28 replace 36 with 34 replace 42 with radio station will announce the winner of a contest when 3,200 callers have called the station. This chart shows the total number of calls received for the first four hours. Time 2:00 p.m. 3:00 p.m. 4:00 p.m. 5:00 p.m. 6:00 p.m. Total Number of alls ,300 If the pattern continues, when will the radio station announce a winner? 8:00 p.m. 9:00 p.m. 10:00 p.m. 11:00 p.m. Page 1

2 North arolina Testing Program EOG Grade 5 Math Sample Items Goal 5 3. The chart shows the greatest number of line segments that can connect various numbers of points on a circle. Figure Number of Points Number of Line Segments ased on the number pattern, how many line segments will connect 8 points? Page 2

3 North arolina Testing Program EOG Grade 5 Math Sample Items Goal 5 4. The art teacher wants to arrange 36 pictures on the wall so that one is in the first row, two are in the second row, three are in the third row, etc. How many rows of pictures will there be? 8 rows 9 rows 10 rows 11 rows 5. The librarian is setting up tables in the media center. He can place 4 chairs around one small table. He will push tables together in a single row to make a bigger table. If he pushes 2 small tables together, he can place 6 chairs around the bigger table. If 10 people need to sit around the table, what is the least number of small tables the librarian should push together? Page 3

4 North arolina Testing Program EOG Grade 5 Math Sample Items Goal 5 6. Josh wants to save \$ to buy a pair of in-line skates. He plans to save \$1 the first month, \$3 the second month, \$6 the third month, and \$10 the fourth month. Josh s Savings Month mount saved during month Total savings \$1 \$3 \$6 \$10 \$15 \$21 \$28 \$1 \$4 \$10 \$20 \$35 \$56 \$84 If Josh continues this savings pattern, how many months will it take Josh to save a total of \$165.00? 5 months 7 months 9 months 13 months Page 4

5 North arolina Testing Program EOG Grade 5 Math Sample Items Goal 5 7. Patrick and Susan both collect stamps. Susan has 5 times as many stamps as Patrick. If is used to represent the number of stamps that Patrick has, which expression describes the total number of stamps that Patrick and Susan have together? (5 + ) 8. Shannon kept a chart to show how many pages she read each day. ay Pages Read How many pages will she read on the twelfth day if she continues this pattern? 35 pages 38 pages (5 ) + 41 pages 44 pages (5 + ) + (5 ) + Page 5

6 North arolina Testing Program EOG Grade 5 Math Sample Items Goal 5 9. Mr. Thompson started a math club at school. In its first year, the club had 12 members. The table below shows the increase in club membership. Second Year Third Year Fourth Year Increase of 3 Increase of 6 Increase of 9 If this growth pattern continues, how many members will the math club have at the end of the eighth year? ngela charges \$3.75 an hour to babysit 1 child. She charges \$1.50 an hour to babysit each extra child. How much will ngela charge if she babysits 3 children for 4 hours? \$27.00 \$21.00 \$19.50 \$ allie mowed 2 lawns in 3 hours. t this rate, how long will it take to mow 6lawns? Maria s family drives 328 miles from sheville to Wilmington every summer. Maria s father drives at a constant speed of 50 miles per hour. bout how much driving time does it take Maria s family to get to Wilmington? 6 hours 8 hours 9 hours 18 hours 6 hours hours 7 hours hours Page 6

7 North arolina Testing Program EOG Grade 5 Math Sample Items Goal Franklin drops a ball from different heights and measures how high it bounces. rop Height 1 ft 2 ft 4 ft 7 ft ounce Height 0.5 ft 1 ft 2 ft 3.5 ft 12 ft If the pattern continues, what ounce Height should Franklin expect if he drops the ball from a height of 12 feet? 6 ft 5.5 ft 5 ft 4.5 ft End of Goal 5 Sample Items In compliance with federal law, including the provisions of Title I of the Education mendments of 1972, the epartment of Public Instruction does not discriminate on the basis of race, sex, religion, color, national or ethnic origin, age, disability, or military service in its policies, programs, activities, admissions of employment. Page 7

8 Gr05 Math Goal 5 Sample Items Key Report 1 Objective: 5.01 escribe, extend, and generalize numeric and geometric patterns using tables, graphs, words, and symbols. Thinking Skill: nalyzing orrect nswer: 2 Objective: 5.01 escribe, extend, and generalize numeric and geometric patterns using tables, graphs, words, and symbols. Thinking Skill: pplying orrect nswer: 3 Objective: 5.01 escribe, extend, and generalize numeric and geometric patterns using tables, graphs, words, and symbols. Thinking Skill: pplying orrect nswer: 4 Objective: 5.01 escribe, extend, and generalize numeric and geometric patterns using tables, graphs, words, and symbols. Thinking Skill: nalyzing orrect nswer: 5 Objective: 5.02 Use algebraic expressions, patterns, and one-step equations and inequalities to solve problems. Thinking Skill: nalyzing orrect nswer: 6 Objective: 5.02 Use algebraic expressions, patterns, and one-step equations and inequalities to solve problems. Thinking Skill: pplying orrect nswer: 7 Objective: 5.02 Use algebraic expressions, patterns, and one-step equations and inequalities to solve problems. Thinking Skill: nalyzing orrect nswer: 8 Objective: 5.02 Use algebraic expressions, patterns, and one-step equations and inequalities to solve problems. Thinking Skill: pplying orrect nswer: 9 Objective: 5.03 Thinking Skill: nalyzing orrect nswer: Page 1

9 Gr05 Math Goal 5 Sample Items Key Report 10 Objective: 5.03 Thinking Skill: pplying orrect nswer: 11 Objective: 5.03 Thinking Skill: nalyzing orrect nswer: 12 Objective: 5.03 Thinking Skill: pplying orrect nswer: 13 Objective: 5.03 Thinking Skill: pplying orrect nswer: Page 2

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