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FREE CFAT Practice Test (Canadian Forces Aptitude Test):
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1. A student worked during the summer and earned $5,000. He invests his earnings in a 2-yr term deposit that pays 3% per year. What is the value of his investment at the end of the term?
a. $5,403.5
b. $5,504.5
c. $5,304.5 - answer
d. $5,305.4
Solution:
The rate in this problem is compound interest, meaning that the interest earned at the end of the first year will be added to the principal.
$5,000 = initial investment
2-yr = term
3%/yr = interest rate
step1:
solve for the Interest earned at the end of the first year
Interest at year 1
= $5,000 x 3%
= $5,000 x 0.03
= $150
step2:
add the Interest at year 1 to the initial investment
Principal at year 1
= $5,000 + $150
= $5,150
step3:
solve for the Interest at the end of the second year
Interest at year 2
= $5,150 x 3%
= $5,150 x 0.03
= $154.5
step4:
add the Principal at year 1 to the Interest at year 2
Total amount at the end of the term
= $5,150 + $154.5
= $5,304.5
2. Jaden is 6 years older than his sister Florence. Next year, Jaden will be twice as old as Florence. Solve for their ages now.
a. 14, 8
b. 13, 7
c. 11, 5 --- answer
d. 12, 6
Solution:
let
J = Jaden's age now
F = Florence's age now
equation1:
their ages now
J = 6 + F
equation2:
their ages 1 year from now
J + 1 = 2 (F + 1)
substitute the value of J in equation1 into equation2
(6 + F) + 1 = 2 (F + 1)
6 + F + 1 = 2F + 2
7 - 2 = 2F - F
5 = F
F = 5
solve for J in equation1 using the value of F = 5
J = 6 + F
J = 6 + 5
J = 11
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FREE CFAT Practice Test (Canadian Forces Aptitude Test):
https://www.army-test.com/131.html
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