Majorship LET Reviewer
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| LET Reviewer for Mathematics |
PRACTICE TEST IN MATHEMATICS
1. What is the slope of the line passing through the points (2,3) and (4,7)?
A) 2
B) 4
C) 5
D) 7
Answer: A) 2
2. If f(x) = x^2 + 4x + 3, what is f(1)?
A) 0
B) 3
C) 8
D) 10
Answer: B) 3
3. What is the solution to the equation 2x + 5 = 11?
A) 2
B) 3
C) 6
D) 7
Answer: B) 3
4. What is the value of sin(45°) + cos(45°)?
A) 0
B) 1
C) √2
D) 2
Answer: C) √2
5. What is the value of log(100) base 10?
A) 1
B) 2
C) 10
D) 100
Answer: B) 2
6. What is the value of (3 + 4i)(2 - i)?
A) 2 + 5i
B) 5 + 10i
C) 10 + 5i
D) 10 + 11i
Answer: D) 10 + 11i
7. What is the area of a circle with a radius of 5 cm?
A) 25π cm^2
B) 50π cm^2
C) 100π cm^2
D) 125π cm^2
Answer: C) 100π cm^2
8. If a rectangle has a length of 8 cm and a width of 3 cm, what is its perimeter?
A) 6 cm
B) 14 cm
C) 16 cm
D) 22 cm
Answer: C) 22 cm
9. What is the value of tan(60°)?
A) √3/2
B) 1/2
C) √2/2
D) 2/√3
Answer: A) √3/2
10. What is the solution to the equation x^2 - 3x - 10 = 0?
A) x = -2, x = 5
B) x = -5, x = 2
C) x = -2, x = -5
D) x = 2, x = 5
Answer: A) x = -2, x = 5
11. What is the equation of the line that passes through the point (3,-2) and has a slope of 4?
A) y = 4x - 14
B) y = 4x - 10
C) y = 4x + 10
D) y = 4x + 14
Answer: D) y = 4x + 14
12. If g(x) = 2x - 5, what is g(4)?
A) -7
B) -3
C) 3
D) 7
Answer: C) 3
13. What is the solution to the equation 3x - 2 = 13?
A) 3
B) 5
C) 7
D) 8
Answer: B) 5
14. What is the value of cos(60°)?
A) 0
B) 1/2
C) √2/2
D) 1
Answer: B) 1/2
15. What is the value of log(1) base 10?
A) 0
B) 1
C) -1
D) undefined
Answer: A) 0
16. What is the value of (2 + 3i)(-1 + 4i)?
A) -14 + 5i
B) -10 + 5i
C) -10 - 5i
D) -14 - 5i
Answer: C) -10 - 5i
17. What is the area of a square with a side length of 6 cm?
A) 6 cm^2
B) 12 cm^2
C) 18 cm^2
D) 36 cm^2
Answer: D) 36 cm^2
18. If a triangle has sides of lengths 5 cm, 8 cm, and 10 cm, what is its perimeter?
A) 8 cm
B) 18 cm
C) 23 cm
D) 25 cm
Answer: D) 25 cm
19. What is the value of sin(30°)?
A) 1/2
B) √2/2
C) √3/2
D) 2/√3
Answer: A) 1/2
20. What is the solution to the equation 2x^2 - 7x + 3 = 0?
A) x = 1/2, x = 3
B) x = -1/2, x = 3/2
C) x = 1/2, x = 2
D) x = -1/2, x = 3
Answer: C) x = 1/2, x = 2
21. What is the equation of the line that passes through the points (-3,5) and (1,-1)?
A) y = -x + 2
B) y = -x - 2
C) y = x + 2
D) y = x - 2
Answer: B) y = -x - 2
22. If h(x) = x^3 - 4x, what is h(2)?
A) -4
B) 0
C) 4
D) 8
Answer: D) 8
23. If f(x) = (x^2 + 1) / (x - 2), what is the sum of the x-intercepts of the graph of f(x)?
a) 0
b) 2
c) 4
d) 6
Answer: a) 0
24. What is the value of the expression (log(base 2) 5)^(log(base 5) 2)?
a) 1/2
b) 1
c) 2
d) 2.5
Answer: b) 1
25. A fair six-sided die is rolled four times. What is the probability that the product of the numbers rolled is a perfect square?
a) 1/12
b) 11/54
c) 11/72
d) 16/81
Answer: c) 11/72
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