Number Operations and Number Sense Pretest

 

The following pretest is designed to give assessment information to the teacher in order to place students in small instructional groups. As such it only measures a sample of the objectives for this strand. Measuring all objectives would create a cumbersome test that could reduce its validity (see Number Operations and Number Sense Continuum). This pretest is an example of a traditional assessment that I have created and used. It is based on objectives and follows a format similar to the Washington State Assessment of Student Learning, my state's criterion referenced standardized test.

 

Operations and Number Sense Pretest

 name: ___________________________________________ date: _____________________

1. Explain how would you group the following numbers to make them easier to add together?

12, 6, 3, 8, 5, 14, 15, and 7

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2. How would you compare the answers to these two problems?

7 + 3 = _______ and 70 + 15 + 15 = ________

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3. The people living in the neighborhood near the County Library have planted 37 fir trees, 25 apple trees, 8 pear trees, 43 cherry trees, and 1 Ponderosa Pine tree. Graph this information on the chart below.

 

Which type of tree do you think the people in this neighborhood like the most?_______________________
Why do you think this?_____________________________________________
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4. With the numbers below, circle the largest number for each pair.

367 356
6,097 6,907
9,123 3,219

5. A bicycle built for two people is 10 feet long. A regular mountain bike is 5 feet 8 inches long. Which is longer, 2 regular mountain bikes put end-to-end, or 1 bicycle built for two? ___________________
How do you know?
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6. How much money is shown here? _______________

 

How much more would you need to make $1.00? ________________________________

7. What do you think would be the easiest way to combine the numbers below to add them to 6,000?

500 25 3,075 250 200 50 1,000 900

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8. With the decimal pairs below, circle the largest number of each pair.

3.6 3.5
6.09 6.9
1.23 1.219

9. Add
2.5 + 2.4 = ______
4.01 + 5.81 = _____

10. If it is 13 1/2 miles from Mrs. Miller's home to Mr. Yates' home and 2 miles from Mr. Yates' home to school, how far would Mrs. Miller need to drive if she were to give Mr. Yates a ride to school?
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11. If I bought 5 cartons of eggs so I could feed a Boy Scout troop breakfast, how many eggs would I have if each carton had 12 eggs in it?
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12. On the 100s chart below lightly color in all of the multiples of 9.

 

Describe the number patterns you see. _____________________________
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13. What multiplication number sentence could be written to describe the following picture?

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14. What is the difference between multiplication and division?

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15. If you know that 27 + 27 = 54 and also that 2 x 27 = 54, what would you do to find out what 4 x 27 equals?

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16. My mom just finished baking 2 dozen cookies (Yum, Yum). How could I share them evenly with 3 of my friends and myself? (remember a dozen equals 12).

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17. Make up a multiplication story problem using the numbers 3, 6, and18.

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18. Make up a division story problem using the numbers 3, 6, and18.

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Complete the fact family for the number fact given.

19.

3
x

6
=

18
20. _____ x _____ = _____
_____ x _____ = _____ _____ x _____ = _____
_____ _____ = _____

56

8
=

7
_____ _____ = _____ _____ _____ = _____

Solve the following multiplication problems.

21. 1 2 22. 4 2 23. 78 x 3 = _________
x 2 x 5    

24. Make a number sentence for the following story. One day Chimacum Elementary School was given 48 computers for children to use in the classrooms. The tricky part was that there were only 12 teachers who had space for them in their rooms. How many computers would each of the 12 teachers get for their students?

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25. Which strategy do you think would work best for solving the problem 20 x 25? Circle your answer.

 

  • skip counting by twos.
  • counting on your fingers
  • skip counting by fives
  • thinking of money
  • skip counting by twenties.
  • adding instead of multiplying
  • making a picture
  • other ___________________________________

Explain why you chose the strategy you did.

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26. One day I went to the bakery to buy some doughnuts for my father (he really likes doughnuts). I bought 3 dozen doughnuts (like I said, he really likes doughnuts)! The baker said that since I was buying so many he would make each of those dozen into a baker's dozen (13 instead of 12). When I arrived with my present, I found out that my dad had some of his friends over. Counting my dad, his friends, my mom, and myself there were a total of 6 people there. Of course my dad wanted to share all of the doughnuts as fairly as he could with everyone there. How many would each person get if none of the doughnuts were cut?

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Assessment Pages

Reading Program: Assessment Informing Instruction

Mathematics Pretest: Paper-and-Pencil Assessment

Rainforest Reviews: An Alternative Assessment Product


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