3rd Grade Number and Operations Name 1. Which number is fifty-two thousand, three hundred nine? a) 5,239 b) 52,039 c) 52,309 d) 52,390 2. Which number is shown in the picture? a) 314 b) 3,142 c) 3,242 d) 30,142 3. Which of the following is 60,189 in written form? a) sixty thousand, one hundred eighty-nine b) six thousand, one hundred eighty-nine c) sixty, one hundred eighty nine d) six hundred eighty nine Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 1 4. Look at the number 68,173. What is the digit in the ten thousands place? a) 8 b) 7 c) 6 d) 1 5. Which number means 7 thousands, 4 tens and 5 ones? a) 745 b) 7,045 c) 7,405 d) 7,450 6. Paula made this chart showing the cost of four used cars. COST OF USED CARS Blue car $5,544 Red car $2,396 Green car $6,459 White car $1,231 What is the second most expensive? a) Blue car b) Red car c) Green car d) White car Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 2 7. When counting by 6’s, which of the following patterns is correct? a) 0, 6, 12, 16, 22, 28, 34 b) 0, 6, 12, 18, 25, 31, 37 c) 0, 6, 12, 18, 24, 30, 36 d) 0, 3, 9, 12, 18, 21, 24 8. What multiplication fact does 8 + 8 + 8 + 8 + 8 + 8 represent? a) 6 x 8 b) 8 x 8 c) 7 x 8 d) This does not represent a multiplication fact. 9. Which of these numbers is even? a) 3,456 b) 6,447 c) 3,597 d) None of these numbers is even. 10. To be an odd number, it must end in __________? a) 1, 3, 5, 7, 9 b) 0, 2, 4, 6, 8 c) 0, 1, 2, 3, 4 d) 0 or 5 Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 3 11. Which of these numbers can be shared in two equal groups with no remainders? a) 85 b) 490 c) 223 d) 7227 12. What number comes next in this pattern 41, 43, 45, 47, __? a) 48 b) 49 c) 50 d) 51 13. Which of these numbers is a multiple of 2? a) 15 b) 18 c) 21 d) 243 14. Add 38 + 42 = a) 77 b) 80 c) 81 d) 710 Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 4 15. Add 2,470 + 1,423 = a) 1,053 b) 2,893 c) 3,763 d) 3,893 16. Subtract 82 – 65= a) 7 b) 17 c) 23 d) 48 17. Subtract 8,965 – 3,525 = a) 5,440 b) 5,480 c) 6,440 d) 50,440 18. Use estimation, which subtraction has an answer of about 300? a) 720 – 480 b) 851 – 652 c) 906 – 661 d) 1,010 – 695 Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 5 19. Sue has 617 pennies. Her Mom gives Sue 298 more pennies. About how many pennies does Sue have now? a) 750 b) 900 c) 950 d) 1,000 20. Which of these equations is NOT a member of the fact family 6, 4, 24? a) 4 x 6 = 24 b) 24 – 6 = 4 c) 24 ÷ 4 = 6 d) 24 = 6 x 4 21. Which division statement is equivalent to 6 x 4? a) 24 ÷ 4 b) 64 ÷ 4 c) 10 ÷ 6 d) 24 ÷ 3 22. A third grade sports team raised money to buy t-shirts. There were 10 students on the team. Each student raised 4 dollars. Which of the following could be used to find out how much money all of the students raised all together? a) 10 + 4 b) 10 – 4 c) 10 x 4 d) 10 ÷ 4 Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 6 For each situation in questions 23-25, chose the correct mathematics statement. 23. A classroom has 5 rows of desks with 5 desks in each row. How many desks are there altogether? a) 5 + 5 = 10 desks b) 5 x 5 = 25 desks c) 2 x 5 = 10 desks d) 5 ÷ 5 = 25 desks 24. There are 36 pieces of gum in a bag. Mom empties the bag by giving 6 pieces to each of her children. How many children does she have? a) 36 ÷ 6 = 6 children b) 36 + 6 = 42 children c) 36 ÷ 9 = 4 children d) 36 – 30 = 6 children 25. There are 27 pieces of candy on a table. We put the pieces into 9 different baggies. How many pieces are in each baggie? a) 27 – 9 = 18 pieces b) 27 ÷ 9 = 3 pieces c) 27 + 9 = 37 pieces d) 27 x 9 = 243 pieces Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 7 26. David spent $12 for 4 tickets. If each ticket was the same price, which math statement could be used to find out how much each ticket cost? a) 4 x 12 b) 4 + 12 c) 12 ÷ 4 d) 12 – 4 27. Solve the following without using a calculator: a. 4 x 6 = b. 2 x 9 = c. 8 x 5 = d. 32 ÷ 4 = e. 72 ÷ 9 = f. 18 ÷ 2 = 28. What is the missing number in the problem a) 6 b) 7 c) 8 x 9 = 63? d) 9 29. What is the missing number in the problem 54 ÷ a) 7 b) 8 Mid-Michigan Consortium c) 9 = 6? d) 12 DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 8 Solve problems 30 and 31 in your head: 30. 500 x 6 = a) 300 b) 530 c) 1100 d) 3000 b) 32 c) 48 d) 50 31. 400 ÷ 8 = a) 20 32. 27 students want to join teams for relay races. Each team must have 4 students. How many complete teams can be made? Would any students be left out? a) 5 complete teams with 2 students left out b) 6 complete teams with 3 students left out c) 7 complete teams with 0 students left out d) 7 complete teams with 1 student left out 33. A class of 23 students are going on a fieldtrip to the zoo. 5 parents are driving their cars. How many students will go in each car? Explain your answer. Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 9 34. May has 10 eggs that she can use to make cookies for the bake sale. Each batch of cookies needs 3 eggs. How many full batches can she make and how many eggs will be left over, if any? a) 2 full batches with 4 eggs left over b) 3 full batches with no eggs left over c) 3 full batches with 1 egg left over d) 4 full batches with 2 eggs left over 35. What fraction is shown by this strip? a) 1 7 b) 3 7 c) 7 7 d) 3 4 36. Shade some of the squares in this strip to show a fraction with a numerator of 4. 37. What fraction did you create with the strip above? a) 5 4 b) Mid-Michigan Consortium 4 5 c) 4 9 d) 4 1 DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 10 38. Use fraction strips for 1 3 2 , and for this problem. 2 8 4 What two fractions are equivalent? a) 1 3 and 2 8 b) 2 3 and 4 8 c) 2 1 and 2 4 39. Using this number line, place the following fractions where they belong. __________________________________________________ 0 ½ 1 1 4 2 4 6 8 40. Using this ruler, place the following fractions where they belong. 1 4 1 2 Mid-Michigan Consortium 3 4 DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 11 41. Make a drawing of a pizza that shows 3 of the pizza. 4 Now make a drawing that shows the same amount of pizza when the pizza is cut into 8ths. What fraction of the pizza did you show when the pizza is cut into 8ths? a) 1 2 b) 3 8 c) 6 8 d) 8 8 42. Which set of fractions goes from smallest to largest? a) 1 1 6 , , 4 2 8 b) 1 1 1 , , 2 4 8 c) 1 2 3 , , 2 4 8 Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 12 43. What is another way to represent the fraction 5/8? a) 5 1 1 1 1 1 = + + + + 8 8 8 8 8 8 b) 5 3 2 = + 8 5 3 c) 5 1 1 1 1 1 1 1 1 = + + + + + + + 8 8 8 8 8 8 8 8 8 44. Using this number line, find the sum of 1 4 0 a) 1 2 b) 3 8 c) 3 4 1 2 2 1 + . 4 4 3 4 1 d) 1 45. Using the number line for question 44, find the difference of a) 0 b) Mid-Michigan Consortium 1 4 c) 1 2 3 2 - = 4 4 d) 1 DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 13 46. Annie and Carla earned $3.00 for raking the lawn. The girls split the money in half. How much did each girl receive? a) $1.00 each with $1.00 left over b) $1.50 each c) $1.75 each d) $6.00 each 47. Theo has a stack of quarters that equal $1.50. How many quarters does Theo have? a) 6 quarters b) 8 quarters c) 15 quarters d) 20 quarters 48. Eva and Mark have $5.00 to spend on apples. Each apple costs $0.50. How many apples can Eva and Mark buy? a) 6 apples b) 8 apples c) 10 apples d) 15 apples 49. Eva decides to return her share of the apples. How much money will she get back? a) $1.50 b) $2.00 c) $2.50 d) $3.00 Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 14 50. How many half dollars are there in $4.50? a) 9 half dollars b) 10 half dollars c) 18 half dollars d) 45 half dollars 51. Four friends want to share 20 cookies fairly. How many will each friend get? Draw a picture to show how you would find the answer using objects. Write this situation as a math statement. Solve the problem. Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 15 52. Think about this math sentence and what it means: 5 x 7 = ___ Write this math sentence in words, using the word “product” or “quotient.” Draw a picture to show this math sentence. Solve this math sentence. The answer is _______. Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 16 Teachers: Copy and cut out these fraction strips for problem 38. 1 2 3 8 2 4 For items 44 and 45. Students may need to use a second number line to do the addition and/or subtraction. 0 1 4 Mid-Michigan Consortium 1 2 3 4 1 DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 17 Item 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Correct Answer c b a c b a c a a a b b b b d b a d b N.FL.03.08: Use mental strategies to fluently add and subtract two-digit numbers. This GLCE needs to be assessed individually to understand the mental processes used. 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 b a c b a b c a. 24 b. 18 c. 40 d. 8 e. 8 f. 9 b c d d b Various answers are possible, such as 5 students in 3 cars and 4 students in 2 cars. However, any answer that totals to 23 is correct. Students might use drawings to explain their answers. c b Mid-Michigan Consortium GLCE N.ME.03.01 N.ME.03.01 N.ME.03.01 N.ME.03.02 N.ME.03.02 N.ME.03.03 N.ME.03.04 N.ME.03.04 N.ME.03.05 N.ME.03.05 N.ME.03.05 N.ME.03.05 N.ME.03.05 N.FL.03.06 N.FL.03.06 N.FL.03.06 N.FL.03.06 N.FL.03.07 N.FL.03.07 N.FL.03.08 N.MR.03.09 N.MR.03.09 N.MR.03.10 N.MR.03.10 N.MR.03.10 N.MR.03.10 N.MR.03.10 N.FL.03.11 N.MR.03.12 N.MR.03.12 N.FL.03.13 N.FL.03.13 N.MR.03.14 N.MR.03.14 N.MR.03.14 N.ME.03.16 DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 18 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 Four of the five boxes should be shaded. b c ¼ should be shown midway from 0 to ½; 2/4 should be shown directly over ½; 6/8 should be shown midway from ½ to 1. ¼ should be shown on the first mark past the left end; ½ should be shown on the second mark from the left; ¾ should be shown on the third mark, before the 1. First drawing should show pizza divided into four equal parts with three shaded; other should show 8 equal parts with 6 shaded. Multiple choice answer: c a a c b b a c c a Picture should show 20 objects divided equally into four groups. Math statement: 20 ÷ 4 = 5 or 20 ÷ 4 = ? The solution is 5 cookies. Math sentence: The product of 5 and 7 is “blank” or “to be determined,” etc. Picture should show 5 groups of 7 objects. The solution is 35. N.ME.03.16 N.ME.03.16 N.ME.03.17 N.ME.03.18 N.ME.03.18 N.ME.03.18 N.ME.03.18 N.ME.03.19 N.MR.03.20 N.MR.03.20 N.ME.03.21 N.ME.03.21 N.ME.03.21 N.ME.03.21 N.ME.03.21 N.MR.03.15 N.MR.03.15 GLCEs in grey are designated as “future core” by MEAP. They will not be tested until 2009. Mid-Michigan Consortium DRAFT – FOR PILOT TESTING ONLY – version 1.2 5/30/05 p. 19