GRADE 7 MATHEMATICS. Form M0110, CORE 1 VIRGINIA STANDARDS OF LEARNING. Spring 2010 Released Test. Property of the Virginia Department of Education

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1 VIRINI STNDRDS O LERNIN Spring 010 Released Test RDE 7 MTEMTIS orm M0110, ORE 1 Property of the Virginia Department of Education opyright 010 by the ommonwealth of Virginia, Department of Education, P.O. ox 10, Richmond, Virginia ll rights reserved. Except as permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval system, without written permission from the copyright owner. ommonwealth of Virginia public school educators may reproduce any portion of these released tests for non-commercial educational purposes without requesting permission. ll others should direct their written requests to the Virginia Department of Education, Division of Student ssessment and School Improvement, at the above address or by to Student_ssessment@doe.virginia.gov.

2 rade 7 Mathematics ormula Sheet eometric ormulas s b 1 h s w h b 1 = bh p = s = s l p = l + w = lw b 1 = h(b 1 + b ) r r h h l w V = lwh S..= lw + lh +wh bbreviations Pi milligram mg gram g kilogram kg milliliter ml liter L kiloliter kl millimeter mm centimeter cm meter m kilometer km square centimeter cm cubic centimeter cm 3 ounce pound quart gallon inch foot yard mile square inch square foot cubic inch cubic foot oz lb qt gal. in. ft yd mi. sq in. sq ft cu in. cu ft 7 area perimeter circumference volume total surface area p V S.. year month hour minute second yr mon hr min sec opyright 006 by the ommonwealth of Virginia Department of Education

3 1 Sandy made 9 free throws out of 1 free-throw attempts in a basketball game. What percentage of the free-throw attempts did Sandy make? % 33% 7% D 7% harlie s Restaurant advertises that 3% of the total amount of money earned on Tuesdays will be donated to a local charity. t this same rate, which statement is most likely true? harlie s Restaurant earned a total of $00 last Tuesday and donated $3. harlie s Restaurant earned a total of $700 last Tuesday and donated $1. harlie s Restaurant earned a total of $3 last Tuesday and donated $100. J harlie s Restaurant earned a total of $9 last Tuesday and donated $70. 3 What number is equal to 3 1 D 1 i 8?

4 Which expression is equivalent to 7 ( )? ( 7) 7 ( ) J Michael bought a stereo on sale for 0% off the regular price. The regular price of the stereo was $180. What was the sale price of the stereo? $36 $90 $1 D $160 6 Tom needs tablespoons of a cleaning product for every quarts of water. ow many tablespoons of the cleaning product would he need for quarts of water? J 10.0

5 7 The record high temperature for a certain U.S. state is 10. The record low temperature for the same state is 1. What is the difference between the record high and low temperatures for this state? D 118 6

6 Do not turn the page until you are told. 7

7 8 Which list is ordered from least to greatest? 3,,, J 3 7,,, ,,, ,,, Manuel can paint pictures in 1. hours. t this rate, which proportion can be used to find p, the number of pictures Manuel can paint in 8 hours? D 0 =. 8 p 8 0 = p. 8 = 1. p = p

8 10 The speed of light is approximately 300,000,000 meters per second. What is the speed of light expressed in scientific notation? m/s m/s m/s J m/s 11 What real number property of multiplication is shown in this equation? i i = i i D Inverse property Identity property ssociative property ommutative property 1 When simplifying the following, using order of operations, which operation should be performed first? 11 ( 1 8 3) J 9

9 13 Which number is less than 138%? D Which of the following expressions is equivalent to 1. ( )? i i i8. 1. i6. J ( ) ( ) 1 Triangles XYZ and KLM are congruent. What is the ratio of the length of XY to the length of KL? 11 : 1: 1: 3 D 1: 10

10 16 Which grid shows a 90 counterclockwise rotation of triangle PQR about the origin? y O P Q R P' R' Q' x y O P P' Q R R' Q' x P' Q' 8 6 R' O y P Q R x J Q' R' P' 8 6 y O P Q R x 11

11 17 In which quadrant is the point ( 17, 18) located? D Quadrant I Quadrant II Quadrant III Quadrant IV 18 Triangle is similar to triangle PQR. R n 8 9 P 1 Q Which proportion can be used to find n? J 8 = n = n = n 1 = 9 n 1

12 19 cylindrical paint can has a diameter of 1 centimeters and a height of 16 centimeters. Which is closest to the volume of the paint can in cubic centimeters? 603 1,06 1,809 D 7,3 0 Which of the following is the name for the shape shown? J Octagon exagon Pentagon eptagon 13

13 1 Which property is common to all quadrilaterals? D our angles our congruent sides Opposite sides parallel Opposite angles congruent What is the area, in square inches, of this quadrilateral? 8 in. 10 in. 10 in. 8 in. 80 in. 160 in. 30 in. J 3 in. 1

14 3 trapezoid is a quadrilateral with exactly D one pair of congruent sides one pair of parallel sides four congruent angles four congruent sides This diagram shows a rectangular prism. 1 in. in. 3 in. What is the total surface area of this prism? J 110 square inches 168 square inches 08 square inches 0 square inches 1

15 Which polygon has times as many angles as a pentagon? D Decagon Nonagon exagon eptagon 6 y P O O x Which line segment most likely connects points located at on the coordinate grid above? (, 3) and (, 3) J O PO P 16

16 7 The school soccer team is ordering new knee pads for their uniforms. The knee pads come in different colors, 6 sizes, and styles. ow many different outcomes of knee pads are available? 1 0 D 8 17

17 Which scatterplot best displays a positive relationship among the data points? y x y x y x J y x

18 9 The number of sandwiches sold at four stores from Week 1 through Week is shown in this table. Week 1 Week Week 3 Week Week Sandwiches Sold Store P Store Q Store R Store S ased only on the data in the table, which store is most likely to increase its sales of sandwiches in Week 6? D Store P Store Q Store R Store S 30 What is the interquartile range of the box-and-whisker plot? Music Sales J 6 19

19 31 What is the median of the data shown? D 3 38, 0, 3, 33, 3, 30, 6, 3, 1 0

20 3 The students in Mr. Denton s class earned the following scores on a fitness test. 30, 60, 10, 00, 80, 90, 660, 80, 30, 0, 90, 660, 330, 380 Which frequency table best displays these data? Score Range 300 to to to to 699 requency 3 Score Range 300 to to to to 699 requency 3 Score Range 300 to to to to 699 requency 3 3 J Score Range 300 to to to to 699 requency 1

21 33 bag has 1 white marbles and 1 blue marbles. llison will randomly select 1 marble from this bag. What is the probability that she will select a blue marble? 9 D 9

22 3 This scatterplot shows the relationships between the heights of 10 pairs of mothers and daughters. Mother and Daughter eights eight of Daughter (inches) eight of Mother (inches) ased on the scatterplot, which of the following statements is true? J The tallest mother has the tallest daughter. The shortest mother has the shortest daughter. Taller mothers tend to have taller daughters. Shorter mothers tend to have taller daughters. 3

23 3 The table shows the number of catches for each of five members on a softball team. Softball atches Name Magdalena Liliana La Toya etty handi Number of atches oach art calculated the mean, median, mode, and range for these data. e realized that he forgot to include Louise s 11 catches in the table. If oach art now includes Louise s data with the data for the other five members, which of the following statistical measures would change from his original calculations? D Mean Median Mode Range

24 36 Kenan recorded the outcomes he got when he flipped a fair coin 30 times. Kenan s oin lips eads up Tails up If he flips the same coin 300 more times, then he should expect that for these 300 flips J less than 60 flips will land tails up close to 10 flips will land heads up between 0 and 300 flips will land tails up more than 0 flips will land heads up 37 Randall wants to buy a pizza. e can select from different sizes, types of crust, and 1 toppings for his pizza. Which of the following shows how to find all the different possible choices of 1 size, 1 crust, and 1 pizza topping Randall can buy? ii1 i + 1 i ( + 1) D + + 1

25 38 This table shows ticket sales for the Taylor Middle School band concert. and oncert Tickets Day Monday Tuesday Wednesday Thursday riday Number of Tickets Sold ow many tickets must be sold on Saturday to make the median and the mode the same? J harles worked for 1 hours on Wednesday. This was 3 times as long as he worked on Tuesday. ow many hours did harles work on Tuesday? 9 1 D 36 6

26 Which table contains only values that satisfy the following? y x = x y 0 6 x y x y J x y 0 0 8

27 1 What value of x makes x = 1 true? D 16 ow is ten less than the square of a number, a, expressed algebraically? a a a 10 J 10 a 3 The sum of a number and 13 is 7. What is the number? D 0 8

28 Which phrase is represented by 38 ( n) +? J The sum of two and three times the quotient of eight and a number, n The sum of two and three times the difference between a number, n, and eight Two more than the difference between three times a number, n, and eight Two more than three times the difference between eight and a number, n Which symbol can be placed in the box to make the following an expression? > = D + 1 3x 9

29 6 loria placed apples into each of 1 boxes. Let a represent the total number of apples she had. Which of the following best represents this situation? a = 1 a = 1 i a = 1 + J a = 1 7 Which word best describes 8z < 18? D Variable Equation Inequality Expression 8 What is the solution to d 10 = 30? J 0 30

30 9 Which sequence is a geometric sequence? 1,,, 8,...,, 6, 8,... 3, 7, 11, 1,... D, 8, 1, 16,... 0 Which of the following represents the sentence shown? Twice a number, n, decreased by six is fourteen. n 6= 1 n + 6= 1 ( n 6) = 1 J + n 6= 1 31