Released Items. Grade 8 Mathematics North Carolina End-of-Grade Assessment. Published January 2019

Transcription

1 Released Items Published Januar 019 Grade 8 Mathematics North Carolina End-of-Grade Assessment Public Schools of North Carolina Department of Public Instruction State Board of Education Division of Accountabilit Services/North Carolina Testing Program Copright 019 b the North Carolina Department of Public Instruction. All rights reserved.

2 Sample Questions S1 Kerr walks 3 miles each da. How far will she walk in 7 das? A B 10 miles 14 miles S C D 1 miles 4 miles What number is represented b point P on the number line below? P Onl 0, 1,, 3, 4, 5, 6, 7, 8, 9,., -, and / are allowed in our answer. Answers that are mied numbers must be entered as an improper fraction or decimal. 1 Go to the net page.

3 S3 What fraction of the circle is shaded? Onl 0, 1,, 3, 4, 5, 6, 7, 8, 9,., -, and / are allowed in our answer. Answers that are mied numbers must be entered as an improper fraction or decimal.

4 1 What is the equation of the line graphed below? A B C D 3 = 3 = + 3 = 3 = Go to the net page.

5 Which graph has a slope that is 1 4 of =? unit greater than the slope of the graph A B Answer choices C and D are on the following page. 4 Go to the net page.

6 C D Go to the net page.

7 3 Susan recorded the time she ate dinner and the number of calories she consumed during dinner for si consecutive das. The results are shown in the table. Time Calories 4:00 p.m :30 p.m :30 p.m :30 p.m :30 p.m :30 p.m. 800 Which best describes the association between the time Susan ate dinner and the number of calories she consumed? A B C D positive negative irrational almost none 4 Which choice is an irrational number? A B 4π π 6 C 18 D Go to the net page.

8 5 In which choice is a nonlinear function of? A = B = 10 + C = D = Mr. Jones determined that the equation = 98 could be used to predict his 5 students unit test scores, based on the number of das,, a student was absent during the unit. What is the meaning of the -intercept of the function? A A student who was not absent during the unit should score about 98. B A student who was not absent during the unit should score about C D A student s test score should increase b about 3. points for each da the student is absent. A student s test score should decrease b about 3. points for each da the student is absent. 7 Go to the net page.

9 7 Which is the graph of the linear equation =? A B Answer choices C and D are on the following page. 8 Go to the net page.

10 C D Go to the net page.

11 8 In which choice is a nonlinear function of? A B C D Which choice is both the square of an integer and the cube of an integer? A 11 B 100 C 64 D In which choice do all three points lie on the same straight line? A (0, 1), ( 1, 3), (1, 3) B (4, ), (, 1), (4, ) C (0, 0), (8, 0), (0, 8) D (1, ), (, 4), (4, 8) 10 Go to the net page.

12 Questions 11 through 15 require ou to write our answers in the boes provided on our answer sheet. A sample grid is shown below each question, but our answer must be properl entered on the answer sheet to be scored. Write onl one number or smbol in each bo and fill in the circle in each column that matches what ou have printed. Fill in onl one circle in each column. 11 The area of a square is 49 cm. What is the perimeter, in cm, of the square? Onl 0, 1,, 3, 4, 5, 6, 7, 8, 9,., -, and / are allowed in our answer. Answers that are mied numbers must be entered as an improper fraction or decimal. 1 What is the slope of the line that passes through the points (, 3) and (8, 6)? Onl 0, 1,, 3, 4, 5, 6, 7, 8, 9,., -, and / are allowed in our answer. Answers that are mied numbers must be entered as an improper fraction or decimal. 11 Go to the net page.

13 13 The table shows four quantities. Each quantit is assigned a numeric label. Quantit π 4 Numeric Label 1 π Order the quantities from least to greatest. Net, write the sequence of numeric labels in the same order as their corresponding quantities. This sequence of numeric labels is our answer. Enter our answer into the grid. (For eample, if the order of the numeric labels were 1,, 3, 4, enter the answer as 134.) Onl 0, 1,, 3, 4, 5, 6, 7, 8, 9,., -, and / are allowed in our answer. Answers that are mied numbers must be entered as an improper fraction or decimal. 1 Go to the net page.

14 14 What is the value of in the equation shown below? = 9 Onl 0, 1,, 3, 4, 5, 6, 7, 8, 9,., -, and / are allowed in our answer. Answers that are mied numbers must be entered as an improper fraction or decimal. 15 What positive integer is closest to the value of 30? Onl 0, 1,, 3, 4, 5, 6, 7, 8, 9,., -, and / are allowed in our answer. Answers that are mied numbers must be entered as an improper fraction or decimal. 13 Go to the net page.

15 This is the end of the calculator inactive test questions. Directions: 1. Look back over our answers for the calculator inactive questions. You will not be able to go back and work on these questions once ou are given a calculator.. Raise our hand to let our teacher know ou are read to begin the calculator active test questions. 3. Do not begin work on the calculator active test questions until our teacher has given ou a calculator. 14

16 Questions 16 through 0 require ou to write our answers in the boes provided on our answer sheet. A sample grid is shown below each question, but our answer must be properl entered on the answer sheet to be scored. Write onl one number or smbol in each bo and fill in the circle in each column that matches what ou have printed. Fill in onl one circle in each column. 16 A square is drawn below. What is the value of? ( + 15) (6 45) Onl 0, 1,, 3, 4, 5, 6, 7, 8, 9,., -, and / are allowed in our answer. Answers that are mied numbers must be entered as an improper fraction or decimal. 15 Go to the net page.

17 17 What is the value of in the equation shown below? = 4( ) Onl 0, 1,, 3, 4, 5, 6, 7, 8, 9,., -, and / are allowed in our answer. Answers that are mied numbers must be entered as an improper fraction or decimal. 18 What is the rate of change of the linear function that has a graph that passes through the points (, 9) and ( 1, 3)? Onl 0, 1,, 3, 4, 5, 6, 7, 8, 9,., -, and / are allowed in our answer. Answers that are mied numbers must be entered as an improper fraction or decimal. 16 Go to the net page.

18 19 What value of satisfies the equation below? 1 1 ( ) + 3 = ( + 6) + Onl 0, 1,, 3, 4, 5, 6, 7, 8, 9,., -, and / are allowed in our answer. Answers that are mied numbers must be entered as an improper fraction or decimal. 17 Go to the net page.

19 0 In the diagram, parallel lines P and Q are cut b transversal R. What is the value of? Onl 0, 1,, 3, 4, 5, 6, 7, 8, 9,., -, and / are allowed in our answer. Answers that are mied numbers must be entered as an improper fraction or decimal. 18 Go to the net page.

20 1 A light ear is defined as the distance light travels in one ear. One light ear is kilometers. A gala is about 150,000 light ears wide. About how man kilometers wide is the gala? A B C D Rectangle JKLM is shown. To the nearest tenth of a centimeter, what is the distance from J to M? A B C 5.0 cm 10. cm 15.3 cm D 1.0 cm 19 Go to the net page.

21 3 The value in dollars,, of a car ears after it was purchased can be modeled b the function = 14, What is the meaning of the -intercept of the linear model? A The initial value of the car is $14,000. B The average value of the car is $14,000. C The car s value decreases b $875 each ear after it was purchased. D The car s value decreases b $16 each ear after it was purchased. 4 Aleis has a clindrical trash can with a diameter of 4 cm and a height of 4 cm. What is the approimate volume of the can? A 1,008 cm 3 B 3,167 cm 3 C 19,000 cm 3 D 76,000 cm 3 0 Go to the net page.

22 5 Which equation best models the data shown in the scatterplot below? A = B = C = D = In which choice is a function of? A (1, 3), (3, 4), (4, 5), (5, 6) B (, 0), (, 3), (4, 5), (6, 7) C (, 5), (4, 8), (6, 10), (, 1) D (6, ), (4, 1), (6, 8), (8, 10) 1 Go to the net page.

23 7 Carl went for a walk and jog. She started walking. After a few minutes, Carl began jogging at a faster speed than she was walking. Carl then got tired and slowed down to a slower speed than she was jogging. Which graph best represents the distance Carl went? A B Distance Distance Time C D Distance Distance Time Time Time Go to the net page.

24 8 In the figure, JLK is a right triangle, point P is the midpoint of side JK, and segment PQ is parallel to segment JL. K The length of segment PK is 4 units and the length of segment PQ is units. What is the approimate perimeter of shaded triangle PQL? A B C D 10.0 units 9.5 units 9.0 units 8.5 units 9 A car rental compan charges $34 per da for a rented car and $0.50 for ever mile driven. A second car rental compan charges $0 per da and $0.75 for ever mile driven. What is the number of miles at which both companies charge the same amount for a one-da rental? A 56 miles J 60 P Q L B C D 54 miles 36 miles 4 miles 3 Go to the net page.

25 30 A clindrical barrel has a height of 8 feet and a diameter of 6 feet. What is the approimate volume of the barrel? A B C 151 cubic feet 6 cubic feet 603 cubic feet D 905 cubic feet 31 LMN will be dilated with respect to the origin b a scale factor of 1. What will be the coordinates of L M N? A L ( 6, 8), M (6, 8), N (6, 1) B L ( 3, ), M (3, ), N (3, 0.5) C L ( 1.5, ), M (1.5, ), N (1.5, 0.5) D L ( 1, ), M (1, ), N (1, 1) L M N 4 Go to the net page.

26 3 The scatterplot shows the amount of sunlight some tomato plants received and the amount each plant grew. Plant Growth (inches) Hours of Sunlight What is the meaning of the slope of the trend line shown on the scatterplot? A A plant grows about 3 inches for ever hours of sunlight it receives. B A plant grows about inches for ever 3 hours of sunlight it receives. C A plant grows about 3 inches for ever 1 hour of sunlight it receives. D A plant grows about 1 inch for ever 3 hours of sunlight it receives. 5 Go to the net page.

27 33 The table shows the number of hours Jake studied for his math tests and his corresponding grade. Hours Jake Studied () Test Grade () Another student, Howie, increased his test scores 6 points for each hour he studied. Which statement correctl describes the rate of change between hours studied and corresponding test scores of the two students? A B C D Jake s test scores increased b 1 point more than Howie s test scores for each hour studied. Jake s test scores increased b 3 points more than Howie s test scores for each hour studied. Howie s test scores increased b 1 point more than Jake s test scores for each hour studied. Howie s test scores increased b 3 points more than Jake s test scores for each hour studied. 6 Go to the net page.

28 34 A figure is shown. 6 in. 8 in. 5 in. What is the length of the dotted line, to the nearest inch? A 10 inches B 11 inches C 1 inches D 13 inches 7 Go to the net page.

29 35 A group of students were asked if the are in the Math Club and if the are in the Literature Club. Partial results are shown in the table. In the Literature Club Not in the Literature Club In the Math Club Not in the Math Club 4 16 Of the students in the Math Club, 67% (rounded) are not in the Literature Club. Of the students not in the Math Club, 78% (rounded) are not in the Literature Club. What is the value of +? A B 4 C 4 D XYZ with vertices X(1, 1), Y(3, 5), and Z(5, 1) will be rotated 180 about the origin. What will be the coordinates of Y? A ( 5, 3) B ( 3, 5) C (5, 3) D (5, 3) 8 Go to the net page.

30 37 Which function has the same slope as the linear function graphed below? A = B 1 = C = 4 D = A line passes through the points (1, 4) and (5, 8). A second line passes through the points (, 10) and (6, 4). At what point do the two lines intersect? A (, 10) B (3, 6) C (4, 7) D (5, 8) Go to the net page.

31 39 In which set of points is a function of? A {(, 4), (4, 16), (5, 5), (6, 36)} B {(4, ), (4, ), (16, 4), (16, 4)} C {(, 1), (, 0), (1, 1), (3, 1)} D {(, 3), (1, 3), (0, 3), (0, )} 40 The points P(3, ), Q(10, ), and R(3, 8) are the vertices of a triangle. What is the approimate length of side RQ? A B C D 7 units 9 units 11 units 13 units 41 In the epressions, and represent positive integers. epression one: 10 epression two: The value of epression two is 0,000 times greater than the value of epression one. What is the value of? A 3 B 4 C 5 D 6 30 Go to the net page.

32 4 Segment XY is graphed in the coordinate plane Y Which could be the coordinates of the third verte, Z, of triangle XYZ so that it would have a hpotenuse with a length of 45 units? A ( 1, 5) B ( 1, 1) C (6, 1) D (8, 5) X Go to the net page.

33 43 Paula and Julia went walking. The equation = 3 models the distance Paula walked in hours. Julia walked at a pace one mile per hour faster than Paula. Which graph correctl models Julia s walking distance as a function of time? A B Distance (miles) Distance (miles) Time (hours) Time (hours) Answer choices C and D are on the following page. 3 Go to the net page.

34 C D 44 The diameter of a sphere is 6 cm. What is the volume of the sphere? (Note: Distance (miles) Distance (miles) v A 8π cm 3 3 = π r ) B 36π cm 3 C 144π cm 3 D 88π cm Time (hours) Time (hours) 33 Go to the net page.

35 45 Henr made the scatterplot shown. The scatterplot shows the data points, and it also shows the linear model that Henr drew. Which statement best describes the linear model? A B C D The linear model describes the data well because points are scattered above and below the line. The linear model describes the data well because all the points are close to the line. The linear model does not describe the data well because the line does not go through an of the points. The linear model does not describe the data well because most of the points are located above the line. 34 Go to the net page.

36 Directions: This is the end of the mathematics test. 1. Put all of our papers inside our test book and close our test book.. Place our calculator on top of the test book. 3. Sta quietl in our seat until our teacher tells ou that testing is finished. 35

37 G RADE 8 M ATHEMATICS R ELEASED F ORM Grade 8 Mathematics Form Answer Ke Item Number Tpe Ke Domain S1 MC C S GR 7 S3 GR 3/4 Calculator Inactive Item Number Tpe Ke Domain 1 MC A NC.8.F.4 MC C NC.8.F. 3 MC D NC.8.SP.1 4 MC C NC.8.NS.1 5 MC D NC.8.F.3 6 MC A NC.8.SP.3 7 MC C NC.8.F.4 8 MC B NC.8.F.3 9 MC C NC.8.EE. 10 MC D NC.8.F.3 11 GR 8 NC.8.EE. 1 GR 1/ NC.8.F.4 13 GR 341 NC.8.NS. 14 GR NC.8.EE. 15 GR 15 NC.8.NS. 36

38 G RADE 8 M ATHEMATICS R ELEASED F ORM Calculator Active Item Number Tpe Ke Domain 16 GR 15 NC.8.G.5 17 GR 4 NC.8.EE.7 18 GR NC.8.F.4 19 GR NC.8.EE.7 0 GR 45 NC.8.G.5 1 MC C NC.8.EE.4 MC B NC.8.G.7 3 MC A NC.8.SP.3 4 MC C NC.8.G.9 5 MC D NC.8.SP. 6 MC A NC.8.F.1 7 MC D NC.8.F.5 8 MC B NC.8.G.7 9 MC A NC.8.EE.8 30 MC B NC.8.G.9 31 MC C NC.8.G.3 3 MC D NC.8.SP.3 33 MC A NC.8.F. 34 MC B NC.8.G.7 35 MC A NC.8.SP.4 36 MC B NC.8.G.3 37 MC D NC.8.F. 38 MC C NC.8.EE.8 39 MC A NC.8.F.1 40 MC B NC.8.G.8 37

39 G RADE 8 M ATHEMATICS R ELEASED F ORM Item Number Tpe Ke Domain 41 MC B NC.8.EE.3 4 MC C NC.8.G.8 43 MC D NC.8.F. 44 MC B NC.8.G.9 45 MC D NC.8.SP. 38