1 - Durango Montessori Elementary School

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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.
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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.
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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!
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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
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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.
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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
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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!!!
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