Using the Number Worlds Placement Tests

Use the questions below to assess students prior knowledge of Level B Number Worlds content. If students have difficulty drawing rings, allow them to point to the answer they think is correct. Repeat the questions if necessary. Do not reword questions. If students show understanding of 14 or more of these 18 items, continue to assess student understanding using Placement Test C. If students do not demonstrate understanding of at least 14 items, they should begin instruction in Number Worlds, Level B. You may also choose to give students Placement Test A. Using the Number Worlds Placement Tests Each level of Number Worlds contains a placement test to determine whether students understand the content in each level of the program. Every placement test assesses knowledge of two adjacent levels of Number Worlds so you can observe and compare information about which level s content is appropriate for each student. Placement Tests in Levels A C Number Worlds Levels A C are targeted for use by students in Grades PreKindergarten through Grade 1. Placement of students at these levels should begin by evaluating their success on the Placement Tests on pages 12 23. Level B Placement Test Instructions 1 Look at the numbers at the top of the page. Which set of numbers shows the correct way to count from one to five? If the student cannot read the numbers, say them aloud. Draw a ring around the numbers that show the correct way to count from one to five. Students should ring the sequence 1 2 3 4. 2 Look at the light bulbs in the box. How many are there in all? Draw a ring around the number that shows how many light bulbs there are. Students should ring the 7. 3 Look at the numbers. Which is the number? Draw a ring around the number. Students should ring the. 4 Move down to the next row of numbers. Look at the numbers, and listen carefully. Which number is bigger than 7? Draw a ring around the number that is bigger than 7. Students should ring the 9. Look at the sets of butterflies. Which set has the most? Draw a ring around the set of butterflies that has the most. Students should ring the group of 3 butterflies. 6 Look at the row of shapes. Which shape is a square? Draw a ring around the shape that is a square. Students should ring the square. 1 2 4 3 134 2 1 2 3 4 6 7 9 8 3 7 9 6 18 Placement Test Level B Placement Test Level B 19 Placement Test, Level B In Levels A C, the placement tests are designed to be administered individually to children by a teacher, classroom aide, or parent helper. The tests at these levels consist of teacher s instructions and reproducible test masters. The test questions for these levels are intended to be read to the students while the test administrators track students answers on the Placement Test Record on page 99. If students demonstrate understanding of more than 7% (at least 14 of 18) of the test items, continue to assess student comprehension using the test for the next level. If students do not demonstrate understanding of at least 14 items, they should begin instruction in that level of the Number Worlds Program. To gain an even more thorough understanding of a student s knowledge of number, use the Number Knowledge Test on pages 101 112 of this Assessment book. The Number Knowledge Test was designed to assess central conceptual knowledge typically acquired by children around the ages of 4, 6, 8, and 10 years. 6 Assessment Overview

Placement Tests in Levels D H Number Worlds Levels D H are targeted for use by students in Grades 2 6. Placement of students at these levels should begin by evaluating their success on the reproducible Placement Tests on pages 12 23. You may choose to assess students on only one topic of concern or assess students on their knowledge of several topics at each level. In Levels D H, the placement tests may be administered to children by a teacher, classroom aide, or parent helper. The assessment consists of topic-specific tests at two levels. The first page assesses knowledge of content in the previous level, and the second page assesses knowledge of the content covered at this level. Unit 3 Placement Test Circle the correct answer. 1 6 1 7 Which problem is equal to 13? A 6 1 (6 1 1) A 1 8 B 6 1 (7 1 1) B 1 1 3 C (6 1 1) 1 (7 1 1) C 10 1 30 D 6 1 7 1 (1 1 1) D 1 1 30 2 At the first stop, 8 children got 6 Which equation shows addition on the bus. On the next stop, 9 sentences that are equal? children got on the bus. The bus A 34 1 2 1 6 30 1 10 stopped again, and 6 more children B 21 1 6 1 9 21 1 19 got on. How many children in all C 20 1 39 1 6 20 1 32 were on the bus? D 28 1 7 1 2 30 1 7 A 23 7 Which problem is equal to 67? B 17 C 27 A 6 1 7 D 1 B 60 1 7 C 60 1 70 3 Which equation shows a correct way D 70 1 6 to share values? 8 Look at the addition sentence in A 24 1 8 20 1 4 1 80 the box. Which of these shows an B 24 1 8 20 1 (4 1 4) addition sentence that is equal to C 24 1 8 20 1 40 1 8 the one in the box? D 24 1 8 20 1 (4 1 8) 24 1 13 4 Which addition sentence contains a nice number? A 20 1 40 1 30 A 12 1 67 79 B 10 1 2 1 9 B 40 1 21 61 C 30 1 4 1 3 C 60 1 32 92 D 30 1 4 1 7 D 41 1 24 6 Unit 3 Placement Test Circle the correct answer. 1 Which number is the most reasonable estimate of 1,791 1 311? A 1,400 B 2,00 C 2,000 D 2,100 2 Which problem shows the best way to estimate 3,880 2 1,121? A 3,000 2 1,000 B 3,000 2 1,100 C 2,900 2 1,300 D 2,000 2 1,000 3 In which of these cases is it important to know an exact amount? A The weight of a new car B The number of people on the playground C The cost of a ticket to a movie D The distance from school to the library 4 In which of these is it better to underestimate than overestimate? A The time it takes to drive to school B The amount of oil in a car C The price of a ticket to a baseball game D The amount of glue for a collage How many trades are needed to solve this problem? 6,21 2 3,473 A 1 B 2 C 3 D 4 6 Which problem will have two trades? A 67 1 14 B 17 1 426 C 623 1 123 D 13 1 426 7 Which expression will have the greatest sum? A 770 1 234 B 261 1 37 C 869 1 67 D 782 1 146 8 Which expression will have an answer less than 300? A 1,323 2 1,029 B 126 1 274 C 1,84 2 1,323 D 198 1 10 16 Addition Placement Test Level E Addition and Subtraction Placement Test Level F 17 Placement Test, Level F Assessing Topic Knowledge Have students complete the first page of the Unit Placement Test. If students do not successfully compete 7% of the items on the first page of the test, administer the Unit Placement Test for the previous level. If students demonstrate understanding of more than 7% of the items on the first page of the Unit Placement Test, have them complete the test. If students do not demonstrate understanding of more than 7% of the items on the second page of the test, but have demonstrated understanding of the items on the first page, they should begin instruction in this level of Number Worlds. If students demonstrate understanding of more than 7% of the items on the second page of the test, administer the Unit Placement Test for the next level. The best practice is to assess a student s knowledge of the entire level of content and to place him or her in the first unit in which he or she begins to show difficulty. Assessment Overview 7

Level A Placement Test Instructions Use the questions below to assess students prior knowledge of Level A Number Worlds content. Repeat the questions if necessary. Do not reword questions. If students show understanding of 14 or more of these 18 items, continue to assess student understanding using Placement Test B. If students do not demonstrate understanding of at least 14 items, they should begin instruction in Number Worlds, Level A. 1 Look at the row of answers at the top of the page. Which answer is a number? Show me the answer that is a number. Students should point to 3. 2 Move down to the row of answers with the dots. Which group of dots has more than the others? Show me the group that has more dots than the others. Students should point to the group of 7 dots. 3 Look at the row of shapes. Two of the shapes are the same. One is different. Which shape is different from the others? Show me the shape that is different from the others. Students should point to the circle. 4 Look at the next set of items on the page. Which set of items shows two things that are the same? Show me the set that shows two things that are the same. Students should point to the two glasses. Look at the next row of shapes on the page. Which shape is a triangle? Show me the shape that is a triangle. Students should point to the triangle. 6 Listen carefully while I count: 4,, 6. What number comes next? What number comes after 6? Tell me the number that comes next: 4,, 6. Students should point to 7. 12 Placement Test Level A

R 3? 8 7 Placement Test Level A 13

Level A Placement Test Instructions, continued Use the questions below to assess students prior knowledge of Level A Number Worlds content. 7 Look at the shapes. Which shape is a rectangle? Show me the shape that is a rectangle. Students should point to the rectangle. 8 Look at the bugs in the box. Which number shows how many bugs are in the box? Show me the number that shows how many bugs are in the box. Students should point to the 6. 9 I m going to count from 1 to and I m going to say one number that does not belong. I want you to tell me what number does not belong. Here I go (say 1, 2, 3, 7, 4, ). What number does not belong? Students should say 7. 0 Look at the items in the box. How many spoons are there? Show me the answer that shows how many spoons are in the box. Students should point to the. a Look at the shapes. Which one has no corners? Show me the shape that has no corners. Students should point to the circle. b Look at the group of dots in the box. If you added one more dot, how many would you have? Show me the answer that shows how many dots you would have if you added one more to the dots in the box. Students should point to the 7. 14 Placement Test Level A

3 6 8 1 2 3 7 4 2 7 3 8 7 6 9 Placement Test Level A 1

Level A Placement Test Instructions, continued Use the questions below to assess students prior knowledge of Level A Number Worlds content. c I m going to count from 3 to 9 and I m going to leave out one number. I want you to tell me what number is missing. Here I go: 3, 4,, 6, 8, 9. What number is missing? Students should say 7. d Look at the pictures of the dogs and cats. Which group shows a cat between dogs? Show me a cat between dogs. Students should ring the set with a cat in the middle. e I m going to count two times. Listen carefully and tell me when I m counting backward. Here is my first time: 1, 2, 3, 4. Here s my second time: 8, 7, 6,. Which time did I count backward? Students should say the second or last time. f Look at the row of squares. Which square is biggest? Show me the square that is biggest. Students should point to the middle square, which is biggest. g Look at the row of lines. Which line is longer than the others? Show me the line that is longer than the others. Students should ring the first line, which is the longest. h Look at the row of numbers at the bottom of the page. Which is the number seven? Show me the number seven. Students should point to the 7. 16 Placement Test Level A

3 4 6 8 9 2 13 7 1 2 3 4 8 7 6 4 7 Placement Test Level A 17

Level B Placement Test Instructions Use the questions below to assess students prior knowledge of Level B Number Worlds content. If students have difficulty drawing rings, allow them to point to the answer they think is correct. Repeat the questions if necessary. Do not reword questions. If students show understanding of 14 or more of these 18 items, continue to assess student understanding using Placement Test C. If students do not demonstrate understanding of at least 14 items, they should begin instruction in Number Worlds, Level B. You may also choose to give students Placement Test A. 1 Look at the numbers at the top of the page. Which set of numbers shows the correct way to count from one to five? If the student cannot read the numbers, say them aloud. Draw a ring around the numbers that show the correct way to count from one to five. Students should ring the sequence 1 2 3 4. 2 Look at the light bulbs in the box. How many are there in all? Draw a ring around the number that shows how many light bulbs there are. Students should ring the 7. 3 Look at the numbers. Which is the number? Draw a ring around the number. Students should ring the. 4 Move down to the next row of numbers. Look at the numbers, and listen carefully. Which number is bigger than 7? Draw a ring around the number that is bigger than 7. Students should ring the 9. Look at the sets of butterflies. Which set has the most? Draw a ring around the set of butterflies that has the most. Students should ring the group of 3 butterflies. 6 Look at the row of shapes. Which shape is a square? Draw a ring around the shape that is a square. Students should ring the square. 18 Placement Test Level B

1 2 4 3 1 3 4 2 1 2 3 4 6 7 9 8 3 7 9 6 Placement Test Level B 19

Level B Placement Test Instructions, continued Use the questions below to assess students prior knowledge of Level A Number Worlds content. 7 Look at the numbers at the top of the page. Which number is the largest? Draw a ring around the number that is the largest. Students should ring the 8. 8 Look at the pictures of apples and oranges. Which group has the same number of apples and oranges? Draw a ring around the group that has the same number of apples and oranges. Students should ring the group with 4 apples and 4 oranges. 9 Look at the row of symbols. Which one means plus? Draw a ring around the symbol that means plus. Students should ring the plus sign. 0 Look at the birds in the box. Which group of birds has one more bird than is in the box? Draw a ring around the group of birds that shows one more bird than is in the box. Students should ring the group of eight birds. a Look at the slides. Which picture shows the child farthest from the top of the slide? Draw a ring around the answer that shows the child farthest from the top of the slide. Students should ring the second scene, which shows the child farthest from the top. b Look at the group of dots on the card. If you added one more dot, how many would you have? Circle the answer that shows how many dots you would have if you added one more to the dots on the card. Students should ring the 4. 20 Placement Test Level B

7 8 6 2 1 2 4 Placement Test Level B 21

Level B Placement Test Instructions, continued Use the questions below to assess students prior knowledge of Level B Number Worlds content. c Look at the numbers at the top of the page. Listen carefully. I am going to count backward. What number comes next? Draw a ring around the number that comes next: 7, 6,, blank. Students should ring the 4. Allow oral answers if the student cannot read numerals. d Look at the dots in the box. Which number line has an arrow that points to the same number as there are dots in the box? Draw a ring around the number line that shows how many dots are in the box. Students should ring the first number line, which shows 4. Allow oral answers if the student cannot read numerals. e Look at the apples in the box. Pahmi had this many apples. He gave one to his sister, Reena. Which answer shows how many apples Pahmi had left? Students should ring the 8. f Look at the books in the box. Carl read this many books. Then he read two more. How many books did he read in all? Draw a ring around the number of books he read in all. Students should ring the 6. Allow oral answers if necessary. g Look at the dial. It shows that the sound level of a CD player is set to nine. Maria thinks it is too loud. She turns it down two clicks. What sound level is the dial at now? Draw a ring around how loud the CD player is now. Students should ring the 7. h Look at the three thermometers at the bottom of the page. Draw a ring around the thermometer that shows the highest temperature. Students should ring the middle thermometer, which shows the highest temperature. 22 Placement Test Level B

Placement Test Level B 23 4 9 2 01234 01234 01234 8 6 10 6 3 9 10 3 7 8 7 6 4 3 2 1 0 8 7 6 4 3 2 1 0 8 7 6 4 3 2 1 0 8 7 6 4 3 2 1 0 8 7 6 4 3 2 1 0 8 7 6 4 3 2 1 0

Level C Placement Test Instructions Use the questions below to assess students prior knowledge of Level C Number Worlds content. Repeat questions if necessary. Do not reword questions. If students show understanding of 14 or more of these 18 items, continue to assess student understanding using Placement Test D. If students do not demonstrate understanding of at least 14 items, they should begin instruction in Number Worlds, Level C. 1 Look at the numbers at the top of the page. Which group of numbers shows the correct counting order? Draw a ring around the group of numbers that shows the correct counting order. Students should ring the sequence 13, 14, 1, 16. 2 Move down to the next row of numbers. Which number is largest? Draw a ring around the number that is largest. Students should ring the 8. 3 Look at the numbers in the box. What number would come next if you were counting? Draw a ring around the number that would come next if you were counting. Students should ring the 12. 4 Look at the groups of dots. Which group has more than the others? Draw a ring around the group of dots that has more dots than the others. Students should ring the last set of dots, which is a set of 8. Look at the dogs in the box. Which group of balls shows the same number of balls as there are dogs in the box? Draw a ring around the group of balls that shows the same number of balls as there are dogs in the box. Students should ring the middle set, which includes 7 balls. 6 Look at the soccer balls. Which group has the least number of soccer balls? Draw a ring around the group of soccer balls that has the least number of soccer balls. Students should ring the first answer, which shows 4 soccer balls. 18 Placement Test Level C

14, 12, 16, 13 1, 13, 16, 14 13, 14, 1, 16 8 3 9, 10, 11 17 12 18 Placement Test Level C 19

Level C Placement Test Instructions, continued Use the questions below to assess students prior knowledge of Level C Number Worlds content. 7 Look at the numbers in the box. They are supposed to show counting from one to seven. Which number is missing? Draw a ring around the number that shows the missing number. Students should ring the 4. 8 Move down to the next set of numbers. Look at the numbers. When you count, which number comes right before 19? Draw a ring around the number that comes right before 19. Students should ring the 18. 9 Listen carefully, and look at the next row of numbers. Which number comes between 10 and 12? Draw a ring around the number that comes between 10 and 12. Students should ring the 11. 0 Move down to the subtraction problem. What is the answer to the problem? Draw a ring around the answer to the problem. Students should ring the. a Listen carefully, and look at the next row of numbers. Mark had three crackers. He gave two crackers to his sister and ate one himself. Draw a ring around the answer that shows how many crackers he had left. Students should ring the 0. b Listen carefully, and look at the last row of numbers. Which number is one less than seven? Draw a ring around the number that is one less than seven. Students should ring the 6. 20 Placement Test Level C

1 2 3 6 7 9 8 4 16 14 18 11 13 9 9 2 4 1 10 0 4 2 4 6 9 Placement Test Level C 21

Level C Placement Test Instructions, continued Use the questions below to assess students prior knowledge of Level C Number Worlds content. c Look at the ducks in the box. They show a problem. What is the answer to the problem? Draw a ring around the answer to the problem. Students should ring the art of 3 ducks. d Look at the problem in the box. What is the answer to the problem? Draw a ring around the answer to the problem. Students should ring the. e Look at the number lines. In which one is the arrow pointing to the largest number? Draw a ring around the number line in which the arrow is pointing to the largest number. Students should ring the middle number line, which shows an arrow pointing to 4. f Look at the next row of numbers. Which number is largest? Draw a ring around the number that is largest. Students should ring 72. g Look at the row of problems. Which one shows a problem that is correct? Draw a ring around the correct problem. Students should ring the equation 3 + 2 =. h Look at the problem at the bottom of the page. What is the answer to the problem? Draw a ring around the number that is the answer to the problem. Students should ring the 17. 22 Placement Test Level C

2 11212 2 3 0 0 0 72 6 49 4127 2114 312 1413 17 11 1 Placement Test Level C 23

1 Placement Test 1 Which number is thirteen? 19 13 18 16 A B C D 2 Which set of numbers is ordered from biggest to smallest? A 12, 6, 29 B 23, 48, 17 C 38, 4, 61 D 72, 61, 3 3 Which answer is the same as 3 1 1 7? A 7 tens and ones B 3 tens and 7 ones C 1 ten and ones D 1 ten and 7 ones 4 Which numbers are missing from this sequence? 3 36 37 40 41 42 A 43, 44, 4 B 89, 10, 11 C 38, 39, 43 D 38, 39, 40 12 Number Sense Placement Test Level D

2 Placement Test 1 What shape is missing from this pattern? A B C D 2 What is the next step in the pattern below? A B C D 3 Look at the number line. If the rule continues, where will the arrow land on the next hop? 0 1 2 3 4 6 7 8 9 10 2 4 6 A B C D 4 What number goes in the box to make the problem correct? 113 14 0 1 10 A B C D 14 Number Patterns and Relationships Placement Test Level D

3 Placement Test 1 Which number story will have the same answer as 2 1 0 1 7? A 3 1 0 1 8 B 7 1 0 1 3 C 7 1 1 1 2 D 0 1 7 1 2 2 Which number story is an equation? A 2 7 B 6 1 7 13 C 1 7 1 3 D 1 3 Which equation is shown by this number line? 0 1 2 3 4 6 7 8 9 10 11 12 13 14 1 16 17 18 1920 A 1 1 6 B 6 1 11 C 0 1 6 11 D 6 1 6 12 4 Which problem has a sum of 7? A 1 2 B 7 1 1 C 6 1 3 D 8 1 2 16 Addition Placement Test Level D

4 Placement Test 1 What number goes in the box to make the problem correct? 9 2 3 A 3 B 6 C 8 D 12 2 Which equation matches this problem? At a pond 16 turtles were sitting on the shore. Then 7 of the turtles went into the pond. The rest stayed on the shore. How many turtles stayed on shore? A 16 2 8 8 B 16 2 7 9 C 23 2 16 7 D 23 2 7 16 3 Which equation matches this number line? 0 1 2 3 4 6 7 8 9 10 11 12 13 14 1 16 17 18 1920 A 20 2 8 11 B 13 2 8 C 20 2 13 7 D 13 2 8 4 Which of these shows subtraction using doubles facts? A 38 2 18 20 B 40 2 20 20 C 9 2 3 6 D 44 2 11 33 18 Subtraction Placement Test Level D

Placement Test 1 How many faces does a cube have? 4 6 8 2 A B C D 2 How many feet are in a yard? 3 feet 10 feet 12 feet 36 feet A B C D 3 What is the perimeter of this shape? 4 cm 4 cm 8 cm 16 cm 12 cm A B C D Desks Bookcase Teacher s Desk Door Board 4 If you are a teacher facing the students desks, where is the board? ahead behind right left A B C D 20 Geometry and Measurement Placement Test Level D

6 Placement Test 1 Which object would fit in the same category as a cup? book plate shoes screwdriver A B C D 2 The math-link cubes below show what some people did on the weekend. People who went to a movie People who rode a bike How many more people rode a bike than went to a movie? 9 2 6 3 A B C D 3 How many nonfiction books did Annette read? 4 3 3 7 1 2 A B C D 1 Fiction 4 Which mascot name got the fewest votes? A Eagles B Bears C Lions D Sharks Number of Books Number of Votes 40 3 30 2 20 1 10 0 Books Annette Read Nonfiction Mascot Voting Eagles Bears Lions Sharks Mascot 22 Data Analysis and Applications Placement Test Level D

1 Placement Test 1 Look at the cubes above. Which set of cubes goes with the cubes to make 10? Look at the cubes below. How many groups of tens and ones are there? A B C D 2 Which numbers do not make 10? A 1 1 6 1 3 B 1 3 1 2 C 7 1 2 1 1 D 1 1 1 3 3 Which number is the same as 60 1 7? A 13 B 130 C 607 D 67 4 What is another way to write 7? A 1 7 B 1 22 C 1 17 D 0 1 7 A 2 tens and 6 ones B 6 tens and 4 ones C 3 tens and 4 ones D 2 tens and 4 ones 6 What is another way to write eight tens 1 three ones? A 803 B 83 C 830 D 38 7 How many pennies are equal to 7 one-dollar bills? A 700 B 70 C 7,000 D 770 8 In which group are the numbers ordered from least to greatest? A 29, 43, 3, 81 B 21, 33, 97, 42 C 23, 31, 9, 76 D 28, 81, 49, 6 12 Number Sense Placement Test Level E

2 Placement Test 1 What is the core pattern in this group of letters? E F F G E F F G E F F G A E F F B E F F G C F G E F D F F G 2 Which set is a repeating pattern? A 8 7 9 8 7 9 B 1 7 9 1 7 8 C 1 9 8 7 6 D 7 9 1 6 8 3 Which pattern is the same as the pattern in the box? A 4 6 7 4 6 7 B 2 3 4 2 3 4 C 1 2 3 1 2 3 1 3 2 D 2 4 2 6 2 8 4 What shape will be the ninth shape in this pattern? A B C D 14 Number Patterns and Relationships Placement Test Level E

3 Placement Test 1 6 1 7 A 6 1 (6 1 1) B 6 1 (7 1 1) C (6 1 1) 1 (7 1 1) D 6 1 7 1 (1 1 1) 2 At the first stop, 8 children got on the bus. On the next stop, 9 children got on the bus. The bus stopped again, and 6 more children got on. How many children in all were on the bus? A 23 B 17 C 27 D 1 3 Which equation shows a correct way to share values? A 24 1 8 20 1 4 1 80 B 24 1 8 20 1 (4 1 4) C 24 1 8 20 1 40 1 8 D 24 1 8 20 1 (4 1 8) 4 Which addition sentence contains a nice number? A 12 1 67 79 B 40 1 21 61 C 63 1 32 9 D 41 1 24 6 Which addends equal 13? A 1 8 B 1 1 3 C 10 1 30 D 1 1 30 6 Which equation shows addition sentences that are equal? A 34 1 2 1 6 30 1 10 B 21 1 6 1 9 21 1 19 C 20 1 39 1 6 20 1 32 D 28 1 7 1 2 30 1 7 7 Which addends equal 67? A 6 1 7 B 60 1 7 C 60 1 70 D 70 1 6 8 Look at the addition sentence in the box. Which of these makes an addition sentence that is equal to the one in the box? 24 1 13 A 20 1 40 1 30 B 10 1 2 1 9 C 30 1 4 1 3 D 30 1 4 1 7 16 Addition Placement Test Level E

4 Placement Test 1 14 2 8 A 4 B 7 C 8 D 6 2 70 2 36 A 34 B 36 C 46 D 31 3 Look at the addition sentence in the box. Which problem is most closely related to the problem in the box? 30 1 20 0 A 0 2 20 B 0 2 20 C 30 2 30 D 30 2 20 4 46 2 18 A 26 B 64 C 28 D 18 In which problem do you have to regroup? A 34 2 21 B 76 2 62 C 48 2 17 D 81 2 6 6 2 36 A 29 B 19 C 91 D 21 7 432 2 12 A 307 B 313 C 213 D 117 8 The distance from Fairfield to Homedale is 264 miles. Diana and her parents left Fairfield and drove 217 miles. How many miles more do they have to drive to reach Homedale? A 147 B 47 C 141 D 14 18 Subtraction Placement Test Level E

Placement Test 1 Which letter has a line of symmetry? Q R F M A B C D 2 Which object weighs between an ounce and a pound? A B C D 3 Which unit would you probably use to measure the amount of water in a fish tank? A gallons B pints C cups D quarts 4 Which clock shows 1:00? A B C D 20 Geometry and Measurement Placement Test Level E

6 Placement Test 1 Look at the Venn diagram. How many students have both a sister and brother? Has a Sister Gene Aileen Joan Ahmed Jim Has a Brother Kristin Tera Miguel Joel A 2 B 9 C 7 D 3 2 Which of these survey questions would have only two possible answers? A Who is your favorite teacher? B What time do you normally leave for school? C Have you ever gone water skiing? D Where do you like to go to eat? This pictograph shows how many students played soccer each year. Number of Students Playing Soccer 2003 SSSS 2004 SSS 200 SSSSSSSS 2006 SSSSSS Key: S = students 3 In which year did the most students play soccer? A 200 B 2003 C 2006 D 2004 4 How many students played soccer in 2004? A 1 B 3 C 30 D 2 22 Data Analysis and Applications Placement Test Level E

1 Placement Test 1 Which number has a 2 in the hundreds place? A 2,387 B 8,723 C 7,238 D 3,87 2 What is another way to write 843? A 84 1 3 B 800 1 40 1 3 C 8 1 40 1 3 D 8 1 4 1 3 3 Last week the sixth-grade students guessed that,27 candies were in the school guessing jar. They increased the value of the hundreds digit by. How many candies are in the jar now? A 1,27 B,280 C,77 D,22 4 Which number is the same as two thousand, three hundred fortyseven? A 20,347 B 2,374 C 20,374 D 2,347 What is another way to write three hundreds 1 six tens 1 two ones? A 3,062 B 36,002 C 362 D 300,602 6 Which set is in order from greatest to least? A 97, 79, 79, 97 B 973, 79, 97, 79 C 97, 97, 9, 797 D 97, 79, 79, 97 7 Which statement is true about the largest number you can make with the digits, 1, 7, 2? A It is greater than 8,000. B It has a 7 in the hundreds place. C It is less than 7,000. D It has a 2 in the tens place. 8 Jaya bought a new tennis racquet. She found the same racquet at four different stores for the four prices shown below. Which price is the greatest? A $14.86 B $16.84 C $14.86 D $18.64 Number Sense Placement Test Level F 13

2 Placement Test 1 Which shape comes next in this pattern? A B 2 How many squares would be in the next shape in this pattern? C D A 22 B 21 C 2 D 20 3 The graph below shows the number of people who climbed to the top of the mountain during a six-month period. How many people climbed the mountain in July? Number of People 40 3 30 2 20 1 10 0 Number of People Climbing Mountain April May June July August September Month A 18 B 2 C 19 D 22 4 What number goes in the box to make the equation true? 1 9 23 A 16 B 1 C 31 D 14 Number Patterns and Relationships Placement Test Level F 1

3 Placement Test 1 Which number is the most reasonable estimate of 1,791 1 311? A 1,400 B 2,00 C 2,000 D 2,100 2 Which problem shows the best way to estimate 3,880 2 1,121? A 3,900 2 1,100 B 3,000 2 1,100 C 2,900 2 1,300 D 2,000 2 1,000 3 In which of these cases is it important to know an exact amount? A The weight of a new car B The number of people on the playground C The cost of a ticket to a movie D The distance from school to the library 4 In which of these is it better to underestimate than overestimate? A The time it takes to get to school B The number of seats on buses used for a field tirp C The price of a ticket to a baseball game D The amount of glue for a collage How many trades are needed to solve this problem? 6,21 2 3,473 A 1 B 2 C 3 D 4 6 Which problem will have two trades? A 67 1 14 B 17 1 426 C 623 1 123 D 13 1 426 7 Which expression will have the greatest sum? A 770 1 234 B 261 1 37 C 869 1 67 D 782 1 146 8 Which expression will have an answer less than 300? A 1,323 2 1,029 B 126 1 274 C 1,84 2 1,323 D 198 1 10 Addition and Subtraction Placement Test Level F 17

4 Placement Test 1 If you skip count from 0 by sevens, what is the third number you will reach? A 7 B 21 C 9 D 10 2 Which number sentence is the same as skip counting from 0 by fours for a count of six? A 4 4 2 1 B 4 1 6 10 C 4 2 3 1 D 6 3 4 24 3 Which number best completes the sequence below? 3, 6, 9,, 1, 18 A 10 B 12 C 13 D 14 4 Which expression has the same answer as 3 groups of 12? A 8 groups of 3 B 4 groups of 3 C 9 groups of 4 D 2 groups of 112 Which expression matches this situation? Joe bought 3 packages of golf balls. Each package had 4 golf balls. A 3 1 3 1 3 1 3 B 4 1 4 1 4 C 6 1 6 1 6 D 3 1 3 6 Which number sentence will have an answer that is different from the others? A 4 3 2 B 3 3 4 C 2 3 6 D 1 3 12 7 Which sentence shows that the order of factors does not change the product? A 8. 7 B 8 1 8. 7 1 7 C 8 3 7 7 3 8 D 8 3 7 6 8 Which solution is not correct? A 6 3 100 600 B 9 3 10,000 90,000 C 3 100,000 00,000 D 7 3 1,000 70,000 Multiplication Placement Test Level F 19

Placement Test 1 Which shape has four right angles and two pairs of parallel sides? A B C D 2 How many sides does a hexagon have? A 6 B 8 C 9 D 7 3 What is the area of the shaded shape below? A 8 square units B 14 square units C 16 square units D 12 square units 4 Which unit would probably be best for measuring the distance between houses in a city? A inches B miles C feet D yards Geometry and Measurement Placement Test Level F 21

6 Placement Test 1 Which statement below is a fact? A Alaska is the largest state in area. B The weather in Indiana is too rainy. C All people are really nice. D The parks in California are the best. 2 Which of these is a question based on categorical data? A How long will it take your friends to run a mile? B How tall is each of your friends? C What movies have your friends seen in the last month? D How many of your friends have at least one pet? 3 The graph below shows the number of cars that passed by Peter s house one afternoon. What overall trend does this graph show? Number of Cars 40 3 30 2 20 1 10 0 1:00 P.M. Number of Cars per Hour 2:00 P.M. 3:00 P.M. Time 4:00 P.M. :00 P.M. Number of Cars A The number of cars increased from 1:00 to :00. B The number of cars doubled each hour. C The number of cars increased by 10 each hour. D The number of cars was about the same each hour. 4 What is the mode of a data set? A The difference between the greatest and least values B The number that appears most often C The smallest number in the data set D A value that is much larger or smaller than the others Data Analysis and Applications Placement Test Level F 23

1 Placement Test 1 Joanna is 3 of the way to the bus stop. How much farther does she have to walk? A 3 8 of the way B 8 of the way C 2 of the way D 3 of the way 2 Which mixed number do these shapes show? A 2 1 4 B 3 Which expression is greater than 1 3? A 2 6 B 2 9 C 1 8 D 2 4 6 Which fractions show how to compare 2 7 and 1 3 using a common denominator? A B C D 6 21 and 7 21 10 and 8 10 21 and 8 23 2 10 and 1 10 C 3 1 4 D 4 3 3 8 3 2 2 A 3 8 B 10 C 16 D 8 4 Which expression is the same as 2 3? 2 A 30 2 B 7 C 4 0 D 7 7 1 6 1 1 4 1 1 3 3 A 13 6 B 12 9 C 12 D 6 7 8 What is the fraction form of.0? A 11 B 10 C 1 2 D 1 Number Sense Placement Test Level G 13

2 Placement Test 1 What is the value of x in the equation 12 1 x 1 10 A B 17 C 2 D 7 2 Based on the information given, which equation is true? A B C D 3 Which numbers are missing from this input/output table? Input Output 4 16 20 7 9 36 48 A 21, 10 B 28, 12 C 10, 18 D 12, 24 4 At a school sale, DVDs cost $10 and paperback books cost $2. Which function rule shows how much it would cost for a person to buy 1 DVD and n books? A 10 1 2n B 10 1 2 1 n C 10n 1 2 D 10 3 2 2 n Number Patterns and Relationships Placement Test Level G 1

3 Placement Test 1 Which repeated addition problem is the same as 3 3 8? A 3 1 8 B 3 1 3 1 3 C 8 1 8 1 8 D 3 1 3 1 3 1 8 2 4 3 (1 1 4) A 28 B 20 C 1 D 30 Which is a model of the following problem? A mail carrier delivered 4 letters each to 2 houses in a row. How many letters did the carrier deliver in all? A C 6 Which multiplication sentence will give the area of the figure below? B D 3 Which number is the best estimate of 08 3 6? A 2,000 B 3,000 C 4,000 D,000 4 A bus can carry 60 students on each trip. It makes 4 trips each day. About how many students does the bus carry in a day? A 120 B 180 C 210 D 240 A 3 3 7 B 7 3 7 C 3 3 3 D 3 3 8 7 Which number is not a factor of 36? A 18 B 9 C 13 D 4 8 Which number is the least common multiple of 8 and 6? A 18 B 12 C 36 D 24 Multiplication Placement Test Level G 17

4 Placement Test 1 A group of 120 students is going on a field trip. They fill 6 buses, each with the same number of students. How many students are on each bus? A 10 B 16 C 20 D 26 2 A season pass for a water park costs $300. This is 4 times more than a monthly pass. How much does a monthly pass cost? A $ B $6 C $7 D $8 3 Which equation shows the inverse operation of 42 4 7 6? A 7 4 6 1 R 1 B 6 3 7 42 C 42 2 7 3 D 6 1 7 13 4 Which number is the remainder when you divide 8 into 0? A 2 B 3 C 4 D 6 1686 A 87 B 267 C 186 D 281 6 Which number is the remainder when you divide 3 into 83? A 0 B 1 C 2 D 3 7 6 $12.48 A $2.08 B $1.66 C $1.48 D $2.20 8 A group of students jogged for 3 hours. The students ran 12 miles during that time. On average, how long did it take them to go one mile? There are 60 minutes in an hour. A 3 minutes B 4 minutes C 1 minutes D 2 minutes Division Placement Test Level G 19

Placement Test 1 How many cubes make up the figure below? A 7 B 13 C 9 D 1 2 Which figure is not a net for a cube? A B C D 3 Which figure has the largest surface area? A C 4 What is the surface area of a cube with dimensions 6 inches by 6 inches by 6 inches? A 216 square inches B 4 square inches C 81 square inches D 270 square inches B D Geometry and Measurement Placement Test Level G 21

6 Placement Test 1 What is the mean of this data set? 3 4 4 6 6 7 A 3 B 4 C D 7 2 Mrs. Townsend runs six days each week. Last week, her miles ran were 14, 4, 8, 12, 8, 12. What is the median of the data set of her miles? A 10 B 8 C 12 D 14 The line plot below shows the age of the riders on an equestrian team. Use the line plot to answer Problem 3. Rider s Ages X X X X X X X X X X X X 13 14 1 16 17 3 What is the median age of the riders? A 14 B 1 C 16 D 13 4 If an event has a probability of 0, how often will it happen? A often B sometimes C never D always Data Analysis and Applications Placement Test Level G 23

1 Placement Test 1 Which numbers are ordered from greatest to least? A 3,814; 3,38; 1,17; 1,438 B 3,814; 1,17; 3,38; 1,438 C 3,38; 1,17; 1,438; 3,814 D 1,438; 1,17; 3,38; 3,814 What fraction of these squares is not shaded? 2 Which number is out of sequence? 212, 210, 4, 21, 3, 12, 18 A 12 B 12 C 10 D 4 3 Which group of decimals is in order from least to greatest? A 0.29, 0.44, 0.3, 0.43 B 0.22, 0.49, 0.48, 0.1 C 0.39, 0.43, 0.44, 0.3 D 0.34, 0.49, 0.94, 0.93 4 Which number is the same as twenty-six thousandths? A 0.00026 B 0.026 C 0.206 D 0.20006 A B C D 1 3 3 9 8 9 1 9 6 Which expression is not true? A 3 4. 3 3 B 3 6. 0.20 C 2 3. 3 4 D 16 0.2 7 Which percentage is the same as 6 10? A 66% B 6% C 610% D 60% 8 What is 320% of 0? A 32 B 160 C 64 D 16 Number Sense Placement Test Level H 13

2 Placement Test 1 What ratio is equal to 60%? A 3 B 1 6 C 6 1 D 7 6 2 Beverlee bought a package of 100 paper clips. The package contained 70 blue paper clips, and the rest of the paper clips were other colors. What was the ratio of blue paper clips to the total number of paper clips in the package? 7 A 0 7 B 20 7 C 100 7 D 10 3 James scored 22 points in 12 games. What was his scoring average per game? A 12 points B 21 points C 22 points D 126 points 4 Jordan is feet tall. The lamppost in her yard is 10 feet tall. If her shadow in the afternoon is 1 feet long, how long will the lamppost s shadow be? A 10 feet B 18 feet C 30 feet D 3 feet Number Patterns and Relationships Placement Test Level H 1

3 Placement Test 1 Which expression is the same as the problem but with common denominators? 3 4 1 1 3 A 3 7 1 1 7 9 B 12 1 4 12 C 4 7 1 2 7 3 D 12 1 1 12 2 1 2 3 1 3 3 4 A 1 2 B 1 3 C 4 1 4 D 4 1 32.28 1 4.63 A 36.81 B 37. C 36.91 D 37.8 6 43.9 2 1.26 A 28.9 B 30.31 C 27.69 D 28.69 7.9 3 3.7 A 21.83 B 21.16 C 1.63 D 1.16 3 Maya is watching a DVD with 6 chapters. She watches 1 8 of the chapters each day. How long will it take her to watch the DVD? A 7 days B 3 days C 8 days D 40 days 4 2 4 10 A 1 B C D 2 7 4 4 7 8 9 4 0.7 A 2.7 B 3.2 C 18 D 12 Fractions, Decimals, and Percents Placement Test Level H 17

4 Placement Test 1 Which expression is the same as 9 3? A 4 3 10 B 6 3 8 C 3 9 D 7 3 7 2 Which expression shows another way of solving 8 3 732? A 8 3 7 3 3 3 2 B 8 3 (7 1 3 1 2) C 8 1 (700 1 30 1 2) D 8 3 (700 1 30 1 2) 13 4 1 A 9 B C 2 D 10 6 280 4 (27) A 273 B 2273 C 240 D 40 3 Which number is the best estimate of 8 3 396? A 2,000 B 2,400 C 3,000 D 3,200 4 A store sells small, medium, and large winter hats. The hats are black, white, and red. How many different size/color combinations are there? A 9 B 3 C 6 D 12 7 7 3096 A 313 R 2 B 299 R 3 C 212 R 1 D 442 R 2 8 A motorcycle race covers 4,830 miles in 16 days. What is the average mileage per day? A 301 R 14 B 20 R 4 C 201 R 14 D 321 R 4 Multiplication and Division Placement Test Level H 19

Placement Test 1 Which letter has no right angles? A L B N C E D F 2 What is the measure of the missing interior angle in this triangle? 4 A 180 degrees B 90 degrees C degrees D 4 degrees 90 3 Which shape has rotational symmetry? A B C D 4 What are the coordinates of point c? A 3, 2 B 3, 2 C 3, 2 D 3, 2 4 3 2 1 2 24 23 22 21 1 2 3 4 x 21 22 c 23 24 2 y Geometry and Measurement Placement Test Level H 21

6 Placement Test The stem-and-leaf plot below shows the height in feet of the trees in an arboretum. Use the plot to answer Problems 1 and 2. 1 Which data point is an outlier? A 6 feet B 27 feet C 76 feet D 0 feet Height of Trees in Arboretum 0 6 8 9 1 1 1 3 3 4 4 2 1 1 2 2 3 4 4 4 3 1 1 3 3 6 6 4 1 3 4 4 6 7 6 Key: 1 4 14 feet 2 Which of these conclusions about the trees in the park can be drawn from the plot? A The tallest tree is more than 100 feet tall. B Most of the trees are between 2 and 40 feet tall. C Most of the trees are less than 40 feet tall. D The shortest trees are less than feet tall. 3 What is the median age of the members of the chess club? A 11. Chess Club Members Ages B 12. C 13 X D 14 X X X X X X X X X X X X X X X X X X X X X X X 8 9 10 11 12 13 14 4 On field day, students are chosen at random to be on the red, blue, orange, purple, yellow, or green teams each day. What is the probability of being chosen for the same color team two days in a row? A 1 1 B 1 6 C 1 12 D 1 36 Data Analysis and Applications Placement Test Level H 23