6th Grade Math Released Test

Released Form EA SE D North Carolina READY End-of-Grade Assessment Mathematics R EL Grade 6 Student Booklet Academic Services and Instructional Support Division of Accountability Services Copyright ã 2013 by the North Carolina Department of Public Instruction. All rights reserved. GRADE 6 MATHEMATICS—RELEASED FORM Sample Questions A 10 miles B 14 miles C 21 miles D 24 miles D S2 Kerry walks 3 miles each day. How far will she walk in 7 days? What number is represented by point P on the number line below? P SE S1 EL What fraction of the circle is shaded? R S3 EA –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 1 0 GRADE 6 MATHEMATICS—RELEASED FORM 1 Joe will go to the swimming pool on 20 different days this month. • A one-day pass to the pool is $2.25. • A monthly pass to the pool is $30.00. B $18 C $15 D $12 SE $20 A rectangular parking lot has an area of 2 of a square kilometer. The width is 1 of 2 3 A 1 3 B 2 3 C 11 D 12 3 EL EA a kilometer. What is the length, in kilometers, of the parking lot? R 2 A D How much money will Joe save by buying a monthly pass? 3 2 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM $78.00 B $78.25 C $78.50 D $78.75 D A Hannah babysits to earn money. She charges $6.50 to babysit for the first hour. • She charges $5.75 for each additional hour. • Let n equal the number of hours after the first hour. SE • A 12.25n B 6.50 + 5.75n C 6.50n + 5.75 D 6.50n + 5.75n EA Which expression represents how much Hannah charges? EL 4 The price of a theater ticket increased from $7.50 to $7.75. The theater sold 315 tickets at the higher price. With the price increase, how much more did the theater earn on the tickets? R 3 3 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM 3 3 7 B 1 7 C 3 343 D 1 343 SE A D 7 0 EA Which choice shows a set of data that could be represented by the box plot shown below? 5 A 1, 3, 5, 6, 7, 7, 8, 13, 19, 20 B 1, 3, 5, 6, 6, 8, 13, 14, 19, 20 C 1, 2, 3, 5, 7, 8, 8, 13, 19, 20 D 1, 5, 5, 6, 6, 6, 8, 13, 19, 20 10 15 20 EL 6 ( )? What is the value of 1 R 5 4 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM Questions 7 through 15 require you to write your answers in the boxes provided on your answer sheet. Write only one number or symbol in each box and fill in the circle in each column that matches what you have printed. Fill in only one circle in each column. 7 A recipe requires 1 lb of onions to make 3 servings of soup. Mark has 1 1 lb of 4 2 8 SE D onions. How many servings can Mark make? A rectangular room has an area of 131 1 square feet. The length of the room is 4 12 1 feet. What is the width, in feet, of the room? EL Allen is building birdhouses that require 1 -ft-long boards. How many pieces that 2 are exactly 1 ft long can be made from a board that is 8 1 ft long? R 9 EA 2 2 4 5 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM 10 How much money should John get back when he uses $10.00 to pay for purchases totaling $5.25? Express the answer as dollars.cents. What is the product of 2.52 and 3.4? 12 At a store, Susan selected a pumpkin that weighed 35.2 ounces. SE D 11 Pumpkins cost $1.80 per pound. • There are 16 ounces in 1 pound. EA • EL How much did Susan’s pumpkin cost? R Express the answer as dollars.cents. 6 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM () () 3 What is the greatest whole number that is less than 5 14 What is the value of 1 x 2 + 2, when x = 3? 15 Heather earns $8.00 per hour for walking a dog. How many hours must she work to earn $256.00? 2 ÷ 3 4 2 13 ? R EL EA SE D 3 7 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM This is the end of the calculator inactive test questions. Directions: 1. Look back over your answers for the calculator inactive questions. You will not be able to go back and work on these questions once you are given a calculator. 2. Raise your hand to let your teacher know you are ready to begin the calculator active test questions. R EL EA SE D 3. Do not begin work on the calculator active test questions until your teacher has given you a calculator. 8 GRADE 6 MATHEMATICS—RELEASED FORM 18 A 5 B 10 C 25 D 30 B 27 units C 33 units D 48 units SE 21 units EA A D The ratio of nitrogen to potassium in a sample of soil is 12:9. The sample has 36 units of nitrogen. How much potassium does the sample have? To clean a tank, 3 cup of disinfectant is needed for every 2 gallons of water. How EL 17 One serving of Mike’s crackers has 150 calories and a mass of 30 grams. How many calories are in 6 grams of the crackers? 4 many cups of disinfectant are needed for 20 gallons of water? A 71 B 15 C 22 1 D 30 R 16 2 2 9 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM 19 A laundry detergent is sold at four stores. Store Hawkin’s Store Don’s Store Allen’s Market Value Market Size (ounces) 60 54 48 40 Price $6.50 $5.50 $5.61 $4.50 Don’s Store C Allen’s Market D Value Market SE B EA Hawkin’s Store Marcy is taking two types of medicine. She takes one medicine every 6 hours. • She takes the other medicine every 4 hours. • She takes both medicines at 9:00 a.m. EL • At what time will Marcy take both medicines together again? R 20 A D Which store has the lowest price per ounce? A 1:00 p.m. B 3:00 p.m. C 5:00 p.m. D 9:00 p.m. 10 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM 21 Jeff recorded the average temperatures for six months. He will display the temperatures on a number line. Month December Temperature (°F) – 5 January – 16 February – 15 20 April 24 May 35 D March B January C April D May EL EA December A trapezoid in a coordinate plane has vertices ( −2, 5), ( − 3, −2), (2, −2), and (1, 5). What is the height of the trapezoid? R 22 A SE On the number line, which month’s temperature will be between February’s and March’s temperatures? A 3 units B 5 units C 7 units D 9 units 11 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM 17 less than twice a number x B the difference between 17 and twice a number x C a number x squared, subtracted from 17 D 17 less than a number x squared 5x + 6y B 5x + 7y C 5x + 9y D 7x + 7y SE A D Which expression is equivalent to 5y + 2y + 6x + 2y – x? EA 25 A Diana can use the equation y = 7x to calculate her pay, where y represents the amount of pay, and x represents the number of hours worked. How many hours did Diana work if she was paid $45.50? EL 24 Which can be represented by the expression 17 – 2x? A 5.5 hours B 6 hours C 6.5 hours D 7 hours R 23 12 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM A 27 B 32 C 96 D 111 D Karen recorded her walking pace in the table below. What equation best represents this relationship? 2.5 A h = m + 10 B h = 3.5m C m = h + 10 D m = 3.5h 8.75 14 EA 4 SE Hours Walked (h) Miles Walked (m) EL 27 If y – 18 = 14, what is the value of 3(y + 5)? R 26 13 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM The shaded area indicates the parking lot at a shopping center. y ER C G N PI OP SH T EN SE PARKING LOT D x 72 units2 B 86 units2 C 91 units2 D 120 units2 EL A EA What is the total area of the parking lot? R 28 14 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM 29 The right rectangular prism below is made up of 8 cubes. Each cube has an edge length of 1 inch. 2 2 cubic inches C 4 cubic inches D 8 cubic inches SE B EA 1 cubic inch What is the area of the quadrilateral with vertices at ( −1, 0), (2, 0), (2, 5), and EL (−1, 5)? A 15 square units B 12 square units C 10 square units D 5 square units R 30 A D What is the volume of this prism? 15 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM The net of a triangular right prism is shown below. 8 in. 10 in. SE D 3 in. EL 5 in. EA 5 in. What is the surface area of the prism? R 31 A 204 in.2 B 228 in.2 C 240 in.2 D 288 in.2 16 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM The data below represents the numbers of books that twelve students read. 2, 4, 7, 8, 9, 12, 14, 18, 19, 21, 30, 32 Which box plot correctly summarizes the data? A Numbers of Books 10 B 20 30 40 D 0 0 C EA SE Numbers of Books 10 20 30 40 30 40 30 40 EL Numbers of Books R 32 0 10 D 20 Numbers of Books 0 10 20 17 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM 33 Which box plot represents a set of data with the largest interquartile range? A 18 20 22 24 26 28 30 32 B D 18 20 22 24 26 28 30 32 SE C 18 20 22 24 26 28 30 32 EA D A company that makes boxes finds that 3 out of 20 boxes are damaged. What percent of the boxes are damaged? R 34 EL 18 20 22 24 26 28 30 32 A 12% B 15% C 25% D 34% 18 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM 35 Jack drew a number line on his paper. E F G H I J 37 B I and J C F and G D H and I SE G and H 25.6 B 30.6 C 160 D 180 EL A EA Valerie is 64 inches tall. About how many centimeters tall is Valerie? (1 inch ≈ 2.5 centimeters) Which point on the number line represents the number − 4 1 ? R 36 A D Jack drew a new point 45% of the distance from point E to point J. Between which two letters does the new point lie? P –6 A P B Q C R D S –5 –4 2 Q –3 R –2 –1 0 1 19 2 3 S 4 5 6 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM This table shows the number of miles four friends travel to get to school. Student Distance to School (miles) Andie 13 Helen 12 Michelle 15 Troy 14 8 3 9 9 Helen C Michelle D Troy EA B EL Andie In the coordinate plane, what is the distance between (− 3, 5) and (− 3, − 8)? A 3 units B 6 units C 8 units D 13 units R 39 A SE Who travels the greatest distance to school? D 38 20 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM 40 A 4x + 8y B 4x + 2y C x + 8y D 8xy Which expression represents the perimeter of the triangle? SE D 41 Which choice is equivalent to the expression 4(x + 2y)? 2k + 16 EA 3k + 5 15 + 4k 42 9k + 36 B 10k + 25 C 20k + 25 D 24k + 36 R EL A The length of a rectangle is 6 units longer than the width, w. Which choice is a correct expression for the perimeter of the rectangle? A 2w + 6 B 2w + 12 C 4w + 6 D 4w + 12 21 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM 43 Jane wants to visit her sister. • Her car travels x miles per gallon of gas. • She will travel 1,000 miles to her sister’s house. • Gas costs $3.50 per gallon. Which expression shows how much Jane will spend for gas on the trip to her sister’s house? 1,000(3.50x) B 3.50 1,000 x C 3.50  x   1,000  D 1,000 D ) SE ( EA 1 ( 3.50x ) EL Suppose that a stove and a freezer together weigh at least 370 pounds. The weight of the stove is 170 pounds. Which inequality correctly describes these conditions for the weight of the freezer, f ? A f ≥ 200 B f > 200 C f ≤ 200 D f < 200 R 44 A 22 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM The Wilsons want to put outdoor carpet on their porch. 12 ft 6 ft Porch 12 ft 6 ft D 6 ft B 72 ft2 C 108 ft2 D 144 ft2 EA 42 ft2 EL A SE How much carpet will be needed for their porch? R 45 23 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM What is the volume of the right rectangular prism below? 2 inches 1 1 2 inches 1 4 3 cubic inches B 4 1 cubic inches C 3 3 cubic inches D 2 1 cubic inches SE A 4 EL 8 EA 8 4 D 1 4 inches R 46 24 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM In the graph below, each grid square represents one square yard. y +6 +5 +4 +3 +2 +1 –6 –5 –4 –3 –2 –1 0 –1 +1 +2 +3 +4 +5 +6 D –2 x –3 SE –4 –5 –6 20 yd2 B 30 yd2 C 36 yd2 D 40 yd2 EL A EA What is the area of the shaded figure? R 47 25 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM 48 Abby is making a decoration. When folded, the decoration is a triangular pyramid made of four congruent equilateral triangles. Approximately, what is the surface area of Abby’s decoration? 6.06 in. B 85 in.2 C 97 in.2 D 170 in.2 SE 64 in.2 EA A A 81 B 84 C 95 D 99 EL Katherine earned 84, 92, 84, 75, and 70 on her first 5 tests. What is the minimum grade Katherine needs to earn on the next test to have a mean of 84? R 49 D 7 in. 26 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM The weather station recorded the high temperature each day for 30 days. The graph of the temperature data is shown below. High Temperatures 9 8 7 6 5 4 3 D Number of Days 2 0 SE 1 31–40 41–50 51– 60 61–70 71– 80 81– 90 Temperature (°F) 41–50 B 51–60 C 61–70 D 71–80 EL A EA In which interval is the median temperature? R 50 27 Go to the next page. GRADE 6 MATHEMATICS—RELEASED FORM Directions: This is the end of the mathematics test. 1. Put all of your papers inside your test book and close your test book. 2. Place your calculator on top of the test book. R EL EA SE D 3. Stay quietly in your seat until your teacher tells you that testing is finished. 28 GRADE 6 MATH—RELEASED FORM Grade 6 Math RELEASED Form 2012–2013 Answer Key Type Key S1 MC C S2 GR -7 S3 GR 3/4 or .75 Domain D Item Number SE Calculator Inactive Type Key 1 MC C NS — The Number System 2 MC C NS — The Number System 3 MC 4 MC 5 MC 7 NS — The Number System B EE — Expressions and Equations D EE — Expressions and Equations MC A SP — Statistics and Probability GR 18 NS — The Number System GR 10.5 NS — The Number System R 8 D EL 6 Domain EA Item Number 9 GR 16 NS — The Number System 10 GR 4.75 NS — The Number System 11 GR 8.568 NS — The Number System 12 GR 3.96 NS — The Number System 13 GR 27 EE — Expressions and Equations 14 GR 5 EE — Expressions and Equations 15 GR 32 EE — Expressions and Equations GRADE 6 MATH—RELEASED FORM Calculator Active Type Key 16 MC D RP — Ratio and Proportional Relationships 17 MC B RP — Ratio and Proportional Relationships 18 MC A RP — Ratio and Proportional Relationships 19 MC B RP — Ratio and Proportional Relationships 20 MC D NS — The Number System 21 MC A NS — The Number System 22 MC C NS — The Number System 23 MC B EE — Expressions and Equations 24 MC C EE — Expressions and Equations 25 MC C EE — Expressions and Equations 26 MC D EE — Expressions and Equations 27 MC D EE — Expressions and Equations 28 MC B G — Geometry 29 MC A G — Geometry MC A G — Geometry MC A G — Geometry MC C SP — Statistics and Probability 33 MC D SP — Statistics and Probability 34 MC B RP — Ratio and Proportional Relationships 35 MC A RP — Ratio and Proportional Relationships 36 MC C RP — Ratio and Proportional Relationships 37 MC A NS — The Number System 31 R 32 SE EA EL 30 Domain D Item Number GRADE 6 MATH—RELEASED FORM Type Key 38 MC B NS — The Number System 39 MC D NS — The Number System 40 MC A EE — Expressions and Equations 41 MC A EE — Expressions and Equations 42 MC D EE — Expressions and Equations 43 MC B EE — Expressions and Equations 44 MC A EE — Expressions and Equations 45 MC C G — Geometry 46 MC C G — Geometry 47 MC B G — Geometry 48 MC B G — Geometry 49 MC D SP — Statistics and Probability 50 MC B SP — Statistics and Probability SE EA EL Item Types: MC = multiple choice GR = gridded response Domain D Item Number R Links to instructions for the gridded-response items can be found on the main accountability page.