Grade Mathematics Practice Test Nebraska Department of Education 00
Directions: On the following pages are multiple-choice questions for the Grade Practice Test, a practice opportunit for the Nebraska State Accountabilit Mathematics (NeSA M). Each question will ask ou to select an answer from among four choices. For all questions: Read each question carefull and choose the best answer. You ma use scratch paper to solve the problems. The Mathematics Reference Sheet is provided in the back of the test booklet. You ma refer to this page an time during the test. You ma not use a calculator on this test. Be sure to answer ALL the questions. Remember onl one of the answers provided is the correct response. NEGMathPTPaper STOP.
. Use the diagram below to answer the question. 600 m 900 m The area of each square is given in the diagram. What is the value of +? A. 0 meters B. 0 meters C. 70 meters D. 0 meters. What is the value of the epression 5? A. B. C. 8 D.. What is the simplified form of the epression (6 + +5) ( + + )? A. + + + B. + +9 C. +6 + + D. +6 + NEGMathPTPaper Go on to the net page.
. Use the graphs below to answer the question. 5 5 0 5 r 5 s 5 5 5 5 5 5 0 5 t 5 u 5 5 0 5 5 Which line shows a negative slope? A. r B. s C. t D. u NEGMathPTPaper Go on to the net page.
5. Use the figure below to answer the question. A 0 in. B D C ABC is equilateral and each side measures 0 inches (in.). Segment DC is equal to 5 in. What is the length of AD? A. 5 in. B. 5 in. C. 0 in. D. 0 in. 6. What is the simplest form of the epression 6? 7 A. B. C. D. 7 7 7 NEGMathPTPaper 5 Go on to the net page.
7. What is the value of? A. B. C. D. 8. A line has a slope of and passes through the point (, ). Which represents the equation of the line written in standard form? A. = B. + =0 C. = 8 D. = NEGMathPTPaper 6 Go on to the net page.
9. Use the table below to answer the question. School Population B Gender Males Females Total Freshman 8 7 5 Sophomores 5 0 5 Juniors 5 Seniors 5 0 5 Total 50 50 00 In a school of 00 students, what is the probabilit of randoml selecting a student that is either a female or a senior? A. 0 00 B. C. D. 5 00 60 00 65 00 0. The vertices of ABC are A (0, 0), B (6, 0), and C (, 7). What tpe of triangle is ABC? A. acute isosceles triangle B. acute scalene triangle C. right isosceles triangle D. right scalene triangle NEGMathPTPaper 7 Go on to the net page.
. Which statement is true for a line that passes through points (, ) and (, )? A. The line has a negative slope. B. The line has a positive slope. C. The line has an undefined slope. D. The line has a zero slope.. Use the figure below to answer the question. A 60 D 5 E B C In ABC, DE is parallel to BC. The measure of A is 60 and the measure of DEC is 5. What is the measure of B? A. 55 B. 60 C. 65 D. 70 NEGMathPTPaper 8 Go on to the net page.
. What is the value of the epression A.? B. C. D. 5. Using positive eponents, what is the simplest form of the epression? A. 7 B. C. D. 7 7 5 9 6 7 6 NEGMathPTPaper 9 Go on to the net page.
5. Given the linear equation = +, which table of values represents this equation? A. 0 B. 0 C. 6 D. 9 6 0 0 5 0 0 6 6 6. What is the -intercept of the line that contains the points (, ) and (6, )? A. 5 B. 6 C. 7 D. 8 NEGMathPTPaper 0 Go on to the net page.
7. The coordinates of the vertices for rectangle ABCD are A (, ), B (6, 0), C (9, 8) and D (5, ). What is the length of a diagonal (AC or BD) of the rectangle? A. B. 5 C. 60 D. 65 8. Use the frequenc table below to answer the question. Frequenc Table Interval 70-7 Frequenc 75-79 80-8 85-89 90-9 95-99 The frequenc table shows the test scores for each interval. What effect would dropping the two scores in the 70-7 interval have on the mean and standard deviation? A. both the mean and standard deviation increase B. both the mean and standard deviation decrease C. the mean increases, but the standard deviation decreases D. the mean decreases, but the standard deviation increases NEGMathPTPaper Go on to the net page.
9. A car used gallons of gasoline and traveled a total distance of 90 miles. The car s fuel efficienc is 5 miles per gallon on the highwa and 0 miles per gallon in the cit. The variable h will represent the number of gallons used on the highwa. Which equation could be used to find h? A. 5h + 0( h) = 90 B. 5( h) +0h = 90 C. 5( + h) +0h = 90 D. 5h + 0( + h) = 90 0. Use the spinners below to answer the question. 5 6 Spinner A Spinner B All four sections on spinner A are the same size, and all three sections on spinner B are the same size. Charlie spins Spinner A and Spinner B one time each and adds his results. What is the probabilit of getting a sum of 6? A. B. C. D. NEGMathPTPaper Go on to the net page.
. An item sells for $0 per kilogram. What is the cost in cents per gram for this item? A. 0.0 cents per gram B. 0. cents per gram C. cents per gram D. 0 cents per gram. Nine tiles numbered through 9 are placed in a bag. A tile is randoml drawn and replaced. Then a second tile is randoml drawn. What is the probabilit the first tile drawn and the second tile drawn are both even numbers? A. 8 8 B. C. D. 6 8 0 8 5 8. John found the length of one side of a square to be 0 inches. Which is closest to the length of the side of the square? A. about 6 inches B. about 7 inches C. about 0 inches D. about 0 inches NEGMathPTPaper Go on to the net page.
. Line l and line k are perpendicular. Line l has a slope of. Line k contains the points (5, 8) and (, ). What is the value of? A. B. 7 C. 9 D. 7 NEGMathPTPaper STOP.
NeSA-M High School Reference Sheet Circle Shape Area Circumference Triangle Rectangle Trapezoid Parallelogram A = r A = bh A = lw A = h (b + b ) A = bh C = πd = πr Perimeter P = l + w Ke b = base w = width B = area of base d = diameter h = height r = radius l = length l = slant Use. for π -Dimensional Shape Volume Total Surface Area Right Circular Cone V = r h T = Pramid V = Bh T = B + Pl Sphere V = r T = r Right Circular Clinder V = r h T = rh + r Right Prism V = Bh ( r)l + r = rl + r T = B + Ph Formulas Pthagorean Theorem Distance, rate, and time formula, where d = distance, r = rate, t = time: d = rt a c b c = a + b Right-Triangle Relationships Trigonometric Ratios 0º-60º-90º Triangle Relationships 5º-5º-90º Triangle Relationships B a C b c sin A = a c cos A = b c tan A = a b A B C 60 0 A A 5 B 5 C
NeSA-M High School Reference Sheet Linear Equation Forms Point-Slope Form: = m ( ) Standard or General Form: A + B = C Slope-Intercept Form: = m + b Coordinate Geometr Given: Points A(, ), B(, ) Distance between two points: AB = ( ) + ( ) Midpoint between two points: Midpoint of AB = Slope of line through two points: ( +, + ) m = Equation of a Circle Quadratic Formula (h, k) = center ( h) + ( k) = r r = radius = b ± b ac a a + b + c = 0 Standard Units Metric Units Conversions Length foot (ft) = inches (in.) centimeter (cm) = 0 millimeters (mm) ard (d) = feet (ft) = 6 inches (in.) meter (m) = 00 centimeters (cm) mile (mi) =,760 ards (d) = 5,80 feet (ft) kilometer (km) =,000 meters (m) Conversions Area square foot (sq. ft) = square inches (sq. in.) square ard (sq. d) = 9 square feet (sq. ft) Conversions Volume cubic ard (cu. d) = 7 cubic feet (cu. ft) cubic foot (cu. ft) =,78 cubic in. (cu. in.) Conversions Capacit cup = 8 fluid ounces (fl oz) liter (l) =,000 milliliters (ml) pint (pt) = cups liter (l) =,000 cubic centimeters (cu. cm) quart (qt) = pints (pt) kiloliter (kl) =,000 liters (l) gallon (gal.) = quarts (qt) Conversions Weight/Mass pound (lb) = 6 ounces (oz) gram (g) =,000 milligrams (mg) ton =,000 pounds (lb) kilogram (kg) =,000 grams (g)
Grade Practice Test Answer Ke Number Ke C B D B 5 B 6 A 7 D 8 B 9 D 0 A D C B D 5 A 6 C 7 D 8 C 9 A 0 B C B A C