Name:_________________ Date:_________________ Unit 2 REVIEW 4th years: You only have to complete only the parts with stars. Your practice test will be very similar to the review but with fewer problems. NOTES: Do you remember all those careful notes you have been taking? Now is the time to put them to use! Check your notes first whenever you get stuck on a question. YOUR RESPONSIBILITY: It is the responsibility of your teachers to help you review topics you are having trouble with and answer your questions. However, it is YOUR responsibility to complete this practice test so you know what you need to review on your own or with help, to review on your own, to ask for help, and to ask questions!!! PLEASE LOOK THROUGH THE TEST AND COMPLETE THE TOPICS THAT WILL BE THE MOST DIFFICULT FOR YOU FIRST SO THAT YOU CAN GET HELP WITH THEM WHILE YOU ARE AT SCHOOL. PART 1: VOCABULARY AND COMPUTATION Directions: Label each part of each equation using the word bank. Then, solve each problem. 1. Word Bank minuend addend $574.65 +$835.99 quotient denominator addend difference multiplicand divisor subtrahend dividend sum multiplier numerator 2. It took Jai three hours and sixteen minutes to paint one side of a house. It took Leif Two hours and forty-nine minutes to paint the next side. What was the difference in their painting times? Show your work. 3. 4 5 0 9 miles * 3 6 4 miles 4. _____ 6|4974 5. 1 = 4 Show your work on paper or use test tubes. Write an equivalent fraction. 1 PART 2: STORY PROBLEM AND PROPORTIONAL REASONING Directions: Solve this problem on a separate story problem sheet and show your work for all the steps. Check your work by writing an explanation for the scale you used (1 mile = ?) and double-checking that it makes sense. Do not use a partner to check your work this time. Card Title: 6. Colorado Map Problem The upper elementary students are creating a map of Colorado on the floor of their classroom. If Colorado is (approximately) 380 miles east-to-west and 280 miles north-to-south, how would you measure out the map on the floor of the classroom? 4th years: Choose a problem from the deck on the shelf and solve it by filling out the sheet. Check your answer any way except asking another person. PART 3: MEASUREMENT IN FRACTIONS OF INCHES. 7. Measure this line to the nearest quarter inch. ______________________________________________ 8. Measure this line exactly using the metric system (millimeters/centimeters/decimeters/meters) ___________________________ 9. Draw a line that is exactly 1 3 inches long. 4 PART 4: PRIME FACTORIZATION AND GCF 10. Use a factor tree to find the prime factorization of 60. 11. What does GCF stand for? G____________ C_____________ F_____________ 12. What is the GCF of 9 and 6? (Showing your work is optional for this one.) 13. Find the GCF of 24 and 56 using a method of your choice. Show your work! 2 14. Find the GCF of 30 and 75 by finding the prime factorization first. Show your work! PART 5: PARTS OF WHOLES AND COMPARING FRACTIONS 15. If there are 6 cookies in 3 of a box, how many cookies are there in the whole box? 4 ________ cookies 16. Fill in each jar with three fractions of your choice. >1 3 =1 3 <1 3 17. Choose one of the fractions you wrote in one of the jars and explain your reasoning. __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ 18. Fill in the blanks with < > or =. 1 ___ 1 3 2 3 ___ 1 16 16 1 ___ 1 8 7 24 ___ 2 48 4 5 ___ 5 3 100 3 PART 6: EQUIVALENT FRACTIONS 19. Draw 2 on one fraction bar and 4 on the other. 5 10 Are they equivalent fractions? YES NO (Circle one) 20. Write five fractions that are equivalent to one half. 21. Write five fractions that are equivalent to one fifth. 22. Circle the fractions that are equivalent to two thirds. Six ninths seven twelfths one sixth three ninths twenty thirtieths 23. Choose one of the problems from part 6 and explain how you found the equivalent fractions. __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ PART 7: IMPROPER FRACTIONS AND MIXED NUMBERS 24. Match the improper fractions with their equivalent mixed numbers. Each has exactly one match. 5 4 8 3 15 4 8 7 2 23 1 14 3 34 1 17 25. On the fraction stick, draw 1. 8 On the fraction stick, draw 3. 8 26. Using the fraction stick below, add 1 + 3. 8 8 4 You will need to use pattern blocks for the problems below. Notice the shape that equals one whole. 27. Draw a shape worth 2 1 . 2 =1 2 28. Draw a shape with a hexagon, a triangle, and a trapezoid. What mixed number does this represent?___________What fraction does this represent?______________ PART 8: INVERSE OPERATIONS 29. Fill in the blanks. Addition and ___________________are inverse operations. Division and ___________________are inverse operations. Exponents of 2 (powers of two) and ___________________are inverse operations. 30. Use an inverse operation to check your answer to problem #4 on the first page. PART 9: REVIEW (These are example problems. On the test, they can be from anything in Unit 1.) 30. Find all the factors of 12 and draw a factor rainbow. Use a method of your choice. 4th: just problem 30, not the rest of part 9 5 31. Find the square root of each number. a. 100 = b. 64 = 32. Write down a four-digit number that is divisible by six. Explain how you know it is divisible by 6. Hopefully you have been consulting your notes, asking other students, or asking teachers for help as needed throughout this practice test! When you are finished, use an answer key to check your work. Then, go back and fix your mistakes. If you get stuck, ask for help. Don’t wait until last minute! REMEMBER: It is the responsibility of your teachers to help you review topics you are having trouble with and answer your questions. However, it is YOUR responsibility to complete this practice test so you know what you need to review on your own or with help, to review on your own, to ask for help, and to ask questions!!! 6