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Officer Candidate Tests Practice Test 6: Math Knowledge
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Officer Candidate Tests Practice Test 6: Math Knowledge
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25 Questions

1. To find the radius of a circle whose circumference is 60 inches,
2. Solve for y: 7>x – 2>y = 2 3>x + 4>y = 30
3. If the angles of a triangle are in the ratio of 2 : 3 : 4, the triangle is
4. Simplify the expression
5. is between which of the following consecutive integers?
6. In the figure shown below, if arc AC = 80º, then angle ABC is equal to
 
7. Find the product of (–6)(+5)(–4).
8. If all P are S and no S are Q, it necessarily follows that
9. Find the square of 212.
10. Solve for x:
11. Determine the pattern for the arrangement and then select the proper option to complete the following series of numbers: 2 4 8 10 20 22 __
12. If the circumference of a circle has the same numbered value as its area, then the radius of the circle must be
13. If 6 + x + y = 20, and x + y = k, then 20 – k =
14. In a bag there are red, green, black, and white marblesIf there are 6 red, 8 green, 4 black, and 12 white, and one marble is to be selected at random, what is the probability it will be white?
15. A circle graph shows that 30% of one year’s immigrants were Hispanic, 28% were black, 20% were Asian, 17% were white, and the rest were classified as miscellaneousHow many degrees of the circle should be allocated to miscellaneous?
16. The volume of the cube shown below is equal to
 
17. 5 is what percent of 25?
18. Which of the following fractions is the largest?
19. How many ounces of a 75% acid solution must be mixed with 16 ounces of 30% acid solution to produce a 50% acid solution?
20. What percent of 90 is 120?
21.  
In the diagram above, CE ⊥ EDIf CE = 7 and ED = 6, what is the shortest distance from C to D?
22. What is the area of a circle whose diameter is 6 inches?
23.  
Triangle R is 3 times triangle STriangle S is 3 times triangle TIf triangle S = 1, what is the sum of the three triangles?
24. Arrange these fractions in order of size from largest to smallest:
 ,
25. What is the correct time if the hour hand is exactly of the way between 5 and 6?

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