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1 North arolina Testing Program EOG Grade 7 Math Sample Items Goal 3. How would this block model look from the top? 2. What is the least number of cubes needed to form a three-dimensional figure with the given left side, front, and top views? left side front top 4 cubes 6 cubes 7 cubes 0 cubes 3. Maria has 4 congruent isosceles triangles and a square. The sides of the square are congruent to the base of each triangle. What 3-dimensional figure can Maria make using all of these shapes? square prism square pyramid triangular prism triangular pyramid Page Published pril May reproduce for instructional and

2 North arolina Testing Program EOG Grade 7 Math Sample Items Goal 3 4. Which plane figures are similar? Page 2 Published pril May reproduce for instructional and

3 North arolina Testing Program EOG Grade 7 Math Sample Items Goal 3 5. Sara used similar triangles to find a relationship between the width of the river and the distance MN. LMN is similar to LKT. The measure of angle N is 62. T River M L K N Which angle has the same measure as angle N? LKT NLM NML LTK Which statement 6. STU ~ XYZ. must be true? The measure of STU is half the measure of XYZ. The measure of STU is equal to the measure of XYZ. The measure of STU is double the measure of XYZ. 7. XYZ has side lengths of 5 m, 20 m, and 25 m. What could be the side lengths of a triangle similar to XYZ? 5 m, 6 m, and 7 m 3 m, 4 m, and 5 m 5 cm, 0 cm, and 5 cm 30 mm, 40 mm, and 55 mm The measure of STU is complementary to the measure of XYZ. Page 3 Published pril May reproduce for instructional and

4 North arolina Testing Program EOG Grade 7 Math Sample Items Goal 3 8. RST is an isosceles triangle with RS RT. L 9. The ratio of the dimensions of a rectangular picture is 5 : 4. The shorter dimension is 6 inches. 2 What is the longer dimension? R inches 4 6 S x T M 4.5 N If RST is similar to LMN, what is the value of x? inches inches 4 8 inches The two polygons below are similar. 5 m 8 m x 0 m What is the value of x? 2 m 3 m 8 m 27 m Page 4 Published pril May reproduce for instructional and

5 North arolina Testing Program EOG Grade 7 Math Sample Items Goal 3. Rug P and Rug Q are two similar rectangular rugs. The dimensions of Rug P are 4 feet wide by 5 feet long. Rug Q is 8 feet wide. What is the length of Rug Q? 2. In the figure below, GH is parallel to JK, so the two triangles are similar. G 5 feet 0 feet 8 feet x 2 feet 2 H 6 I 5 J K What is the value of x? Page 5 Published pril May reproduce for instructional and

6 North arolina Testing Program EOG Grade 7 Math Sample Items Goal 3 3. Quadrilateral EFGH is similar to quadrilateral MNOP. O F cm E 2 cm G 5 cm 3 cm H M N 0 cm P What is the perimeter of MNOP? 9 cm 22 cm 25 cm 3 cm End of Sample Items In compliance with federal law, including the provisions of Title IX of the Education mendments of 972, 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 6 Published pril May reproduce for instructional and

7 Gr07 Math Goal 3 Sample Items Key Report Objective: 3.0 Using three-dimensional figures: a. Identify, describe, and draw from various views (top, side, front, corner). b. uild from various views. c. escribe cross-sectional views. Thinking Skill: nalyzing orrect nswer: 2 Objective: 3.0 Using three-dimensional figures: a. Identify, describe, and draw from various views (top, side, front, corner). b. uild from various views. c. escribe cross-sectional views. Thinking Skill: nalyzing orrect nswer: 3 Objective: 3.0 Using three-dimensional figures: a. Identify, describe, and draw from various views (top, side, front, corner). b. uild from various views. c. escribe cross-sectional views. Thinking Skill: pplying orrect nswer: 4 Objective: 3.02 Identify, define, and describe similar and congruent polygons with respect to angle measures, length of sides, and proportionality of sides. Thinking Skill: pplying orrect nswer: 5 Objective: 3.02 Identify, define, and describe similar and congruent polygons with respect to angle measures, length of sides, and proportionality of sides. Thinking Skill: nalyzing orrect nswer: 6 Objective: 3.02 Identify, define, and describe similar and congruent polygons with respect to angle measures, length of sides, and proportionality of sides. Thinking Skill: nalyzing orrect nswer: 7 Objective: 3.02 Identify, define, and describe similar and congruent polygons with respect to angle measures, length of sides, and proportionality of sides. Thinking Skill: pplying orrect nswer: 8 Objective: 3.03 Thinking Skill: pplying orrect nswer: Page Published pril May reproduce for instructional and

8 Gr07 Math Goal 3 Sample Items Key Report 9 Objective: 3.03 Thinking Skill: pplying orrect nswer: 0 Objective: 3.03 Thinking Skill: pplying orrect nswer: Objective: 3.03 Thinking Skill: pplying orrect nswer: 2 Objective: 3.03 Thinking Skill: pplying orrect nswer: 3 Objective: 3.03 Thinking Skill: pplying orrect nswer: Page 2 Published pril May reproduce for instructional and

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