Grade 11 Mathematics Practice Test

Transcription

1 Grade Mathematics Practice Test Nebraska Department of Education 204

2 Directions: On the following pages are multiple-choice questions for the Grade Practice Test, a practice opportunity for the Nebraska State Accountability Mathematics (NeSA M). Each question will ask you to select an answer from among four choices. For all questions: Read each question carefully and choose the best answer. You may use scratch paper to solve the problems. The Mathematics Reference Sheet is provided in the back of the test booklet. You may refer to this page any time during the test. You may not use a calculator on this test. Be sure to answer ALL the questions. Only one of the answers provided is the correct response. NE G Math PT 2 STOP.

3 . Use the table below to answer the question. Trip Hours Miles Average Speed 5 hours 300 miles? mph 2 hours 600 miles? mph 3 5 hours 800 miles? mph 4 20 hours 50 miles? mph Charlie kept track of the number of miles and the number of hours he drove for four different trips. On which trip was Charlie s average speed the greatest? A. trip B. trip 2 C. trip 3 D. trip 4 2. A pump sold with a 40 liter fish tank can empty the full tank in hour. What is an equivalent rate, in liters per minute? A. 3 liter per minute B. 2 3 liter per minute C. liter per minute D. 2 liters per minute NE G Math PT 3 Go on to the net page.

4 3. Use the triangle below to answer the question. B A C What is the measure of ABC? A. 50 B. 55 C. 70 D Justin has 44 coins in a jar. The coins are all pennies, nickels, or dimes. There are 3 times as many pennies as there are dimes. There are 2 fewer nickels than there are dimes. Which equation can be used to model the number of dimes in the jar? A. 3 +( +2)+ =44 B. 3 +( 2)+ =44 C. 3( +2) =44 D. 3( 2) =44 NE G Math PT 4 Go on to the net page.

5 5. Use the figure below to answer the question The figure shows the lengths of the four sides of a quadrilateral. Which epression represents the perimeter of the quadrilateral? A B C D The midpoint of AB is ( 3, 2) and the coordinates of point A are (, 2). What are the coordinates of point B? A. (, 0) B. (0, ) C. ( 7, 6) D. (6, 7) 7. Which equation is equivalent to y 3=2( 7)? A. y =2 7 B. y =2 C. y =2 0 D. y =2 4 NE G Math PT 5 Go on to the net page.

6 8. Use the diagram below to answer the question. c 7 6 What is the value of c to the nearest integer? A. 5 B. 7 C. 9 D. 9. Using a spinner to select each digit, a student randomly selects a three-digit number. The spinner is divided into ten equal sections numbered 0 through 9. The digit zero cannot be used in the hundreds place. What is the probability that the student selects 23? A. B. C. D., NE G Math PT 6 Go on to the net page.

7 0. Use the table below to answer the question. f() Which linear function represents f()? A. f() = B. f() = C. f() =3 +4 D. f() =3 +2. Which epression is equivalent to (3 2 y 5 )( 4 4 y 3 )? A. 6 y 8 B. 8 y 5 C. 2 6 y 8 D. 2 8 y 5 2. The probability of drawing a red card is 0.4. The probability of drawing a card with a star on it is 0.. Drawing a red card and drawing a card with a star on it are mutually eclusive events. What is the probability of drawing a red card with a star on it? A. 0 B C. 0.5 D. NE G Math PT 7 Go on to the net page.

8 3. Use the figure below to answer the question The area of the rectangle is represented by the product of its two side lengths, (3 + 2)(2 9). Which epression represents the area of the rectangle? A. 5 7 B. 0 4 C D Use the diagram below to answer the question. Sliced Cube The cube has a surface area of 96 square inches. Each side of the cube is sliced along dashed lines to produce eight smaller cubes. What is the surface area of one of the eight smaller cubes? A. 8 square inches B. 2 square inches C. 24 square inches D. 48 square inches NE G Math PT 8 Go on to the net page.

9 5. Use the figure below to answer the question. Green Red Red Green Green Red Green Green Sally is given a bag containing red and green jelly beans. She reaches into the bag and removes a red jelly bean. She does not replace the jelly bean before randomly removing a second jelly bean. What is the probability that the second jelly bean is red? A. 2 8 B. C. D NE G Math PT 9 Go on to the net page.

10 6. What is the value of the epression ? 4 A. 25 B. C. D Use the coordinate grid below to answer the question. y Z (2, 4) 3 2 Y (5, ) X (-, ) Which method proves that XYZ is an isosceles right triangle? A. use the distance formula to show that three sides are equal in length and use the slope formula to show that two sides are parallel B. use the distance formula to show that three sides are equal in length and use the slope formula to show that two sides are perpendicular C. use the distance formula to show that two sides are equal in length and use the slope formula to show that two sides are parallel D. use the distance formula to show that two sides are equal in length and use the slope formula to show that two sides are perpendicular NE G Math PT 0 Go on to the net page.

11 8. Use the line plot below to answer the question The line plot displays a distribution of data. Which comparison of measures of center matches the line plot? A. the median is less than the mode B. the median is less than the mean C. the mode is equal to the mean D. the mean is equal to the median 9. Which epression is equivalent to ? A. 3 3 B. 3 6 C D NE G Math PT Go on to the net page.

12 20. Use the coordinate grid below to answer the question. y The coordinates of the endpoints of a segment are ( 5, ) and (4, 4). What is the length of the segment? A. 3 B. 9 C. 3 0 D What is the y-coordinate of the minimum value of f() = 5 +2? A. 5 B. 2 C. 0 D. 2 NE G Math PT 2 Go on to the net page.

13 22. What is the slope of the line represented by the equation 2 +5y = 0? A. 2 B. 2 5 C. 2 5 D Use the figure below to answer the question. A B D C In square ABCD, what is the length of diagonal BD? A. 2 B. 2 C. 2 D. 3 NE G Math PT 3 STOP.

14 NeSA-M High School Reference Sheet Circle Shape Area Circumference Triangle Rectangle Trapezoid Parallelogram A = ϖr 2 A = 2 bh A = lw A = 2 h (b + b 2 ) A = bh C = πd = 2πr Perimeter P = 2l + 2w Key b = base w = width B = area of base d = diameter h = height r = radius l = length l = slant Use 3.4 for π 3-Dimensional Shape Volume Total Surface Area Right Circular Cone 3 ϖr 2 V = h T = 2 (2ϖr)l + ϖr2 = ϖrl + ϖr 2 Pyramid 3 Bh T = B + 2 Pl Sphere 4 V = ϖr 3 3 T = 4ϖr 2 Right Circular Cylinder V = ϖr 2 h T = 2ϖrh + 2ϖr 2 Right Prism V = Bh T = 2B + Ph Formulas Pythagorean Theorem Distance, rate, and time formula, where d = distance, r = rate, t = time: d = rt a c b c 2 = a 2 + b 2 Right-Triangle Relationships Trigonometric Ratios 30º-60º-90º Triangle Relationships 45º-45º-90º Triangle Relationships B a C b c sin A = a c cos A = b c tan A = a b A B C A A 2 45 B 45 C

15 NeSA-M High School Reference Sheet Linear Equation Forms Point-Slope Form: y y = m ( ) Standard or General Form: A + By = C Slope-Intercept Form: y = m + b Coordinate Geometry Given: Points A(, y ), B( 2, y 2 ) Distance between two points: AB = ( 2 ) 2 + (y 2 y ) 2 Midpoint between two points: Midpoint of AB = Slope of line through two points: ( 2 + y, 2 + y ) 2 2 m = y 2 y 2 Equation of a Circle Quadratic Formula (h, k) = center ( h) 2 + (y k) 2 = r 2 r = radius = b ± b 2 4ac 2a a 2 + b + c = 0 Standard Units Metric Units Conversions Length foot (ft) = 2 inches (in.) centimeter (cm) = 0 millimeters (mm) yard (yd) = 3 feet (ft) = 36 inches (in.) meter (m) = 00 centimeters (cm) mile (mi) =,760 yards (yd) = 5,280 feet (ft) kilometer (km) =,000 meters (m) Conversions Area square foot (sq. ft) = 44 square inches (sq. in.) square yard (sq. yd) = 9 square feet (sq. ft) Conversions Volume cubic yard (cu. yd) = 27 cubic feet (cu. ft) cubic foot (cu. ft) =,728 cubic in. (cu. in.) Conversions Capacity cup = 8 fluid ounces (fl oz) liter (l) =,000 milliliters (ml) pint (pt) = 2 cups liter (l) =,000 cubic centimeters (cu. cm) quart (qt) = 2 pints (pt) kiloliter (kl) =,000 liters (l) gallon (gal.) = 4 quarts (qt) Conversions Weight/Mass pound (lb) = 6 ounces (oz) gram (g) =,000 milligrams (mg) ton = 2,000 pounds (lb) kilogram (kg) =,000 grams (g)

16 Grade Mathematics Practice Test Answer Key A 2 B 3 D 4 B 5 A 6 C 7 B 8 C 9 B 0 C C 2 A 3 D 4 C 5 B 6 C 7 D 8 B 9 C 20 C 2 D 22 B 23 B

17 Grade Mathematics Practice Test Copyright 204 by the Nebraska Department of Education. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher.