Mathematics Session You may use your tool kit and MCAS ruler during this session You may not use a calculator during this session DIRECTIONS This session contains twelve multiple-choice questions, two short-answer questions, and three open-response questions Mark your answers to these questions in the spaces provided in your Student Answer Booklet ID:227459 EBH239_map.eps A Common ID:228590 3221504_AR1.eps, 3221504_ B Common  ● Angelo used the rule “add 4, subtract 2” to make a number pattern, as shown below 11 15 13 –2 17 15 –2 The map below shows Kim’s neighborhood Kim’s Neighborhood 19 kA ven u Which of the following number patterns uses the same rule? Oa e Elm Drive A B C 10 14 18 14 12 16 M ap 10 14 12 16 14 18 le La ne 10 14 10 18 22 20 D Main Street Pine Road  ● Which street is parallel to Main Street? A Elm Drive 10 14 16 18 24 26 B Maple Lane C Oak Avenue D Pine Road 261 Mathematics Session ID:227464 EBH243_lines_of_symmetry B Common ID:227363 227363_clues.eps C Common  ●  ● Jamal’s clues about his mystery number are shown in the box below A My number has tens thousands ones ten thousands hundreds Which of the following shapes has more than one line of symmetry? B What is Jamal’s mystery number? C A   5,826 B   6,285 C 68,052 D 86,520 D ID:227388 C Common  ● Mr Dolan bought boxes of erasers There were 12 erasers in each box How many erasers did Mr Dolan buy? A   96 B   98 C 108 D 120 262 Mathematics Session ID:227510 EBH264_school.eps [stem_0 D Common  ● The tally chart below shows the different ways the 24 students in Ms Mitchell’s class get to school How We Get to School Way car bus bike Number of Students walk Which circle graph best represents the information in the tally chart? C How We Get to School A How We Get to School car car bus bus bike walk walk bike D How We Get to School B How We Get to School car car bus bus walk walk bike bike 263 Mathematics Session ID:227592 AL4213_Scale.eps A Common ID:218935 TK0407_map.eps D Common  ●  ● The grid below shows the locations of some places in Jim’s neighborhood has the same weight, and each block has the same weight block Jim’s house Library School Park How many five Moving along the grid lines, what is the least number of blocks from Jim’s house to the school? A 10 B 11 C 15 A D 18 B C D ID:229061 C Common  ● The scale shown below is balanced Each What is the solution to the following problem? 162   ? A 50 R2 B 51 R1 C 54 D 57 264 ? are needed to balance Mathematics Session Question 10 is an open-response question • BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION • Show all your work (diagrams, tables, or computations) in your Student Answer Booklet • If you the work in your head, explain in writing how you did the work Write your answer to question 10 in the space provided in your Student Answer Booklet ID:250869 TK0464_Park.eps, Perimete Common 10  ● The grid below represents Ginger’s garden Ginger’s Garden foot foot a What is the perimeter, in feet, of Ginger’s garden? Show or explain how you got your answer Perimeter is the distance around a shape b What is the area, in square feet, of Ginger’s garden? Show or explain how you got your answer Ginger wants to increase the area of her garden so that it is 96 square feet Her garden will still be a rectangle c What could be the length and width of Ginger’s garden after she increases the area? Show or explain how you got your answer 265 Mathematics Session Questions 11 and 12 are short-answer questions Write your answers to these questions in the boxes provided in your Student Answer Booklet Do not write your answers in this test booklet You may your figuring in the test booklet ID:227603 Common 11  ● What is the value of  that makes the number sentence below true?    160 ID:247633 Common 12  ● Write a decimal that is equivalent to the fraction below 266 Mathematics Session Question 13 is an open-response question • BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION • Show all your work (diagrams, tables, or computations) in your Student Answer Booklet • If you the work in your head, explain in writing how you did the work Write your answer to question 13 in the space provided in your Student Answer Booklet ID:250554 Common 13  ● The chart below shows the numbers of students at four different schools Pine Street Number of Students 517 Apple Lane 675 Sanders 419 East Side 566 School a Use estimation to decide which school has about 100 fewer students than Apple Lane School Show or explain your estimation strategy All the students at the schools are going to form two teams for a reading contest • There will be two schools on each team • The teams will each have about the same number of students b Use estimation to decide which two schools should be on each team Show or explain your estimation strategy 267 Mathematics Session Mark your answers to multiple-choice questions 14 through 16 in the spaces provided in your Student Answer Booklet Do not write your answers in this test booklet You may your figuring in the test booklet ID:219003 TK0433_spinners.eps [opt_ A Common ID:218881 A Common 14  ● 16  ● Which number is equivalent to three hundredths? A 0.03 On which of the following spinners is the arrow most likely to land on a section labeled B? A B 0.30 C 3.00 D 300 Y B B G ID:218884 B Common 15  ● Ms Caruso wants to arrange 16 desks in rows to form a square Which of the following number sentences shows how all of the desks can be arranged in rows to form a square? B G Y B A   16 B Y G B Y B   16 C  12  16 D   16 C G B Y Y B G D Y G B 268 Mathematics Session Question 17 is an open-response question • BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION • Show all your work (diagrams, tables, or computations) in your Student Answer Booklet • If you the work in your head, explain in writing how you did the work Write your answer to question 17 in the space provided in your Student Answer Booklet ID:250841 Common Use the two triangles labeled  1  from your tool kit to answer question 17 17  ● For all parts of this question, the triangles should be lying flat on your desk • The triangles must be label side up • The triangles may touch but not overlap a Put the triangles together so that a side labeled a is next to a side labeled c What shape did you make when you put the two triangles together in this way? Explain how you know b Put the triangles together so that the sides labeled b are next to each other What shape did you make when you put the two triangles together in this way? Explain how you know c Make a shape with the two triangles that is different from the shapes you made in parts (a) and (b) Only congruent sides may touch, and they must match exactly In your Student Answer Booklet, trace your shape and label the sides of both triangles with the correct letters d What shape did you make in part (c)? Explain how you know 269 Mathematics Session You may use your tool kit and MCAS ruler during this session You may not use a calculator during this session DIRECTIONS This session contains seventeen multiple-choice questions, three short-answer questions, and two open-response questions Mark your answers to these questions in the spaces provided in your Student Answer Booklet ID:247703 EBH526_A_B.eps A Common ID:250435 B Common  ● There are 22 students in a class There are  students absent today Which of the following represents the number of students who are in class today? 18 20  ● Figure G, figure H, and a line are shown below A 22   B 22   C 22   D 22   G H ID:228799 C Common 19  ● The population of Keith’s hometown is 57,619 What is 57,619 rounded to the nearest thousand? A 55,000 B 57,000 C 58,000 D 60,000 Ping believes that figure G and figure H are congruent Which of the following best describes how Ping could move figure G so that it exactly covers figure H? A Reflect (flip) figure G over the line B Translate (slide) figure G over the line C Rotate (turn) figure G 90° clockwise, and translate (slide) it over the line D Rotate (turn) figure G 90° clockwise, and then reflect (flip) it over the line 270 Mathematics Session ID:247536 EBH488_groups.eps [opt_a0 A Common 21  ● Juan used a model to solve the problem below Bob had 28 strawberries to share equally among friends How many strawberries did each friend get? Which of the following could be Juan’s model? A C B D XXXX 271 Mathematics Session ID:273868 EBH479_candy_bars.eps D Common 22  ● ID:247759 EBH544_line.eps C Common Ken is using the two rectangles shown below to compare fractions Use your MCAS ruler to answer question 23 23  ● Julie drew the line segment shown below Keegan drew a line segment that was inches longer than Julie’s line segment Which of the following is closest to the length of Keegan’s line segment? A inch B inches C inches Which of the following is true? A  B  C  D  D inches ID:247586 D Common 24  ● All the students in Mr Conner’s class are working in groups There are groups of students and group of students What is the total number of students in Mr Conner’s class? A 18 B 24 C 26 D 27 272 Mathematics Session ID:222172 3247438_AR1.eps, 3247438_ C Common 25  ● ID:250317 A Common 26  ● Two number sentences are shown below 44 99 11 11 Erin recorded the height of a tomato plant each week for four weeks Which of the following would be best for Erin to use to display the change in the height of the tomato plant? A a line graph B a pictograph What values for and both number sentences true? A B C D 5 make C a circle graph D a Venn diagram 273 Mathematics Session Question 27 is an open-response question • BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION • Show all your work (diagrams, tables, or computations) in your Student Answer Booklet • If you the work in your head, explain in writing how you did the work Write your answer to question 27 in the space provided in your Student Answer Booklet ID:250388 Common 27  ● Lee wrote the number sentence shown below to represent the rule for his input-output table input output ↓ ↓ n3 p a Copy Lee’s table below into your Student Answer Booklet Use Lee’s number sentence to complete the table Lee’s Table Input n Output p 10 12 b Lee’s friend Maya wrote the input-output table below Maya’s Table Input n 12 21 Output p 10 19 Write a number sentence to represent the rule for Maya’s table Use n for the input and p for the output c A new input-output table is shown below Input n Output p  5  7 20 28 36 What are the missing numbers that complete the input-output table? Show or explain how you got each of your answers 274 Mathematics Session Questions 28, 29, and 30 are short-answer questions Write your answers to these questions in the boxes provided in your Student Answer Booklet Do not write your answers in this test booklet You may your figuring in the test booklet ID:219076 TK0465-bags-of-marbles.ep Common 28  ● Cassie has three black marbles and four white marbles, as shown below Each marble is the same shape and size Cassie will put all her marbles into a bag She will pick a marble out of the bag without looking What is the probability that Cassie will pick a black marble? Write your answer as a fraction 275 Mathematics Session Write your answers to questions 29 and 30 in the boxes provided in your Student Answer Booklet ID:219075 TK0461-alan.eps Common 29  ● Alan painted his name on a grid, as shown below = square unit What is the total area, in square units, that Alan painted? ID:219065 TK0442-number-line.eps Common 30  ● Mr Miller drew the number line shown below P What fraction best represents the location of point P ? 276 Mathematics Session Question 31 is an open-response question • BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION • Show all your work (diagrams, tables, or computations) in your Student Answer Booklet • If you the work in your head, explain in writing how you did the work Write your answer to question 31 in the space provided in your Student Answer Booklet ID:219127 TK0496_data.eps, TK0469_l Common 31  ● On Monday, Ms Smith asked her students to write the number of hours they spent reading over the weekend Their answers are shown below 3 4 a In your Student Answer Booklet, copy the number line below Based on the answers the students wrote, make a line plot using the number line you copied Be sure to label your line plot b How many of Ms Smith’s students read or more hours over the weekend? Use your line plot to explain how you know 277 Mathematics Session Mark your answers to multiple-choice questions 32 through 39 in the spaces provided in your Student Answer Booklet Do not write your answers in this test booklet You may your figuring in the test booklet ID:218917 TK0395_cds.eps C Common 32  ● ID:247595 C Common The CDs in the box shown below all cost the same amount 34  ● Mr Janson bought 47 packs of pencils There are 22 pencils in each pack Which of the following has a value that is closest to the number of pencils Mr Janson bought? A 40  20 B 40  30 CDs: for $20.00 C 50  20 D 50  30 How much does one CD cost? A $4.00 B $4.50 C $5.00 D $5.50 ID:273874 B Common 33  ● The Blakes spent $8,762 to paint their house They also spent $987 to repair the roof What was the total amount the Blakes spent to paint their house and repair the roof? A $7,775 B $9,749 C $9,750 D $18,632 278 Mathematics Session ID:250360 SEB_leaf_graph.eps A Common 35  ● ID:218912 B Common 36  ● The graph below shows how much money Chris earned each day last week raking leaves Money Chris Earned Raking Leaves Money Earned (dollars) 27 Number Game 24 18 Students’ Numbers New Numbers 15 12 16 20 10 32 16 21 Mon Tue Wed Thu Fri Sat Sun Day Ms Martin played a number game with her class Every time a student said a number, Ms Martin used a rule to change it to a new number The table below shows the students’ numbers and Ms Martin’s new numbers Ms Martin used the same rule each time Which of the following could be Ms Martin’s rule? Chris earns $6 per hour for raking leaves How many hours did he rake leaves on Saturday? A subtract A   hours D divide by B divide by C subtract 10 B   hours C 12 hours D 24 hours 279 Mathematics Session ID:247561 B Common 37  ● ID:273875 TK0434_hat.eps D Common 38  ● Which number sentence is not true? A    15  Marcus will pick a number card from the hat shown below without looking Each number card is the same size and shape B    15  C      D      3 280 What is the probability that Marcus will pick a card with the number on it? A B 10 C D 10 Mathematics Session ID:247623 EBH505_game.eps A Common 39  ● Pat and Meg wrote their names in some of the squares on a grid, as shown below Pat Meg Pat Pat Meg Meg Meg Pat Meg Meg Which number sentence shows the fraction of squares on the grid that have Pat’s name or Meg’s name in them? A 12  12  10 12 B 12  12  10 24 C  6  10 14 D   10 281 Massachusetts Comprehensive Assessment System Grade Mathematics Tool Kit a b a b c c 282 ... Conner’s class? A 18 B 24 C 26 D 27 272 Mathematics Session ID:222172 3 247 438_AR1.eps, 3 247 438_ C Common 25  ● ID:250317 A Common 26  ● Two number sentences are shown below 44 99 11 11 Erin recorded... ID:219065 TK 044 2-number-line.eps Common 30  ● Mr Miller drew the number line shown below P What fraction best represents the location of point P ? 276 Mathematics Session Question 31 is an open-response... following could be Juan’s model? A C B D XXXX 271 Mathematics Session ID:273868 EBH479_candy_bars.eps D Common 22  ● ID: 247 759 EBH 544 _line.eps C Common Ken is using the two rectangles shown