Practice Computational Mastery Exam

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Practice
Computational Mastery Exam General Information
This page is part of the practice exam only.
Expectations:
The Computational Mastery Exam is to address the following MTLE Basic Skills. Though there are
many other mathematics basic skills required, it is not reasonable to cover them all in a single
computational mastery exam.
MTLE Basic Skills: Mathematics
0011 Understand numbers and the number system.
demonstrating fluency in computation, including operations on decimals, percents, fractions, and exponents
using number sense and different number representations to solve mathematical and real-world problems
0014 Understand measurement concepts.
applying formulas to calculate perimeter, circumference, length, area, surface area, volume, and angles for
two- and three-dimensional figures in mathematical and real-world situations
Students should know basic fraction/percent equivalencies or be able to derive them. For example:
1
1
1
1
3
1
12 % 
25% 
37 % 
50% 
etc.
2
8
4
2
8
2
2
1
16 % 
3
6
10% =
1
10
1
1
33 % 
3
3
20% =
1
5
2
2
66 % 
3
3
30% =
3
10
1
5
83 % 
3
6
40% =
2
5
etc.
Passing Score:
Must meet all of the following requirements:
1. A comprehensive score of 25 or higher.
2. For each of the subcategories:
1–5: four or five correct.
6–18: ten or more correct.
19–23: four or five correct.
24–30: five or more correct.
If a student has obtained a perfect score in a subcategory and has not received a passing
score for the exam, then the student does not need to retake that subcategory when
retaking the exam.
Practice
Computational Mastery Exam
1.
70, 658
64,372
172, 002
83, 734
2.
2, 083
58,509
5.
6.
3.
938
207
4.
37 247, 083
Based on the 2010 census, the population of Moorhead was 38,065 and of Fargo was 105,549.
What is the combined population of Moorhead and Fargo in 2010?
4 2

9 9
7.
3 3

8 10
8.
5 5

6 9
2
1
11. 7  4
3
4
9.
6 2

7 7
10.
13.
10 14

21 15
5 1
14. 2  3
6 3
1
4
3 5
2
7
15.
3 15

8 32
17. Dana measured two small paper clips. The length of one paper clip measured
other paper clip measured
1
5
12. 5  3
6
8
4
1
16. 2  4
7
2
11
of an inch and the
16
3
of an inch long. How much longer is the longer paper clip than the
4
shorter paper clip?
18. What is the surface area of a ball that has a radius of 1 34 inches? Use that π is approximately 3 17 .
19. 9 – 6.207
20. 16.78 + 24 + 0.035
21. 25.9 × 2.4
22. 2.3301 ÷ 0.9
23. Pat paid $38.18 for 9.2 gallons of gas. What was the price per gallon that Pat paid?
24. 14% of 65
25. 66 23 % of 2400
27. What percent of 48 is 12?
26. 210% of 700
28. What percent of 34 is 29?
29. 70% of what number is 40?
30. After the Legacy Amendment passed and went into effect, the Minnesota Sales Tax rate was 6 78 %
or 6.875%. What was the final purchase price of a tablet selling for $560?
Practice
Formula Sheet
Note: Not all formulas necessary are listed, nor are all formulas used on this test.
Rectangle
Area = lw
Perimeter = 2l + 2w
Triangle
Area =
Sphere
Surface area = 4 r 2
4
Volume =  r 3
3
Right cylinder
1
bh
2
Surface area = 2 rh  2 r 2
Volume =  r 2 h
Right triangle
Pythagorean formula: c 2  a 2  b 2
Circle
Area =  r 2
Circumference = 2 r
Rectangular solid
Surface area = 2lw + 2lh + 2wh
Volume = lwh
Practice
Computational Mastery Exam
Solution Sheet
Name_________________
Score_____________
Directions: Any fractions must be simplified to lowest terms.
1.
____________________
2.
____________________
3.
____________________
4. ____________________
5. ____________________
Subscore__________
________________________________________________________________________________
Directions: All fractions must be simplified to lowest terms. Improper fractions must be rewritten as
mixed numbers.
6.
____________________
7.
____________________
8.
____________________
9.
____________________
10. ____________________
11. ____________________
12. ____________________
13. ____________________
14. ____________________
15. ____________________
16. ____________________
17. ____________________
18. ____________________
Subscore__________
________________________________________________________________________________
Directions: Do not round any values.
19. ____________________
20. ____________________
21. ____________________
22. ____________________
23. ____________________
Subscore__________
________________________________________________________________________________
Directions: Do not round any values.
24. ____________________
25. ____________________
26. ____________________
27. ____________________
28. ____________________
29. ____________________
30. ____________________
Subscore__________
________________________________________________________________________________
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