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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
9 : 25
Part = Percent X Whole
48
72

2. 3/8 in percent?
The steeper the slope.
37.5%
The two xes after factoring.
1/(x^y)

3. What is the set of elements found in both A and B?
83.333%
An arc is a portion of a circumference of a circle.
x(x - y + 1)
The interesection of A and B.

4. Formula to calculate arc length?
Factors are few - multiples are many.
(b + c)
A grouping of the members within a set based on a shared characteristic.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

5. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
12sqrt2
A 30-60-90 triangle.
.0004809 X 10^11

6. What is the graph of f(x) shifted upward c units or spaces?
A tangent is a line that only touches one point on the circumference of a circle.
16.6666%
F(x) + c
A = I (1 + rt)

7. 50 < all primes< 60
20.5
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
53 - 59
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)

8. 5/8 in percent?
62.5%
10! / 3!(10-3)! = 120
1 & 37/132
11 - 13 - 17 - 19

9. Simplify (a^2 + b)^2 - (a^2 - b)^2
A central angle is an angle formed by 2 radii.
4a^2(b)
3
10

10. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Two angles whose sum is 180.
1
The set of elements which can be found in either A or B.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

11. a^0 =
1
x^(6-3) = x^3
7 / 1000
9 : 25

12. Formula to find a circle'S circumference from its diameter?
C = (pi)d
6
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
1

13. What is a subset?
A grouping of the members within a set based on a shared characteristic.
F(x) + c
Even
I

14. Which is greater? 200x^295 or 10x^294?
4096
52
Relationship cannot be determined (what if x is negative?)
C = 2(pi)r

15. 10<all primes<20
11 - 13 - 17 - 19
.0004809 X 10^11
Two angles whose sum is 180.
2(pi)r^2 + 2(pi)rh

16. Can you simplify sqrt72?
Relationship cannot be determined (what if x is negative?)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A set with a number of elements which can be counted.

17. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
A grouping of the members within a set based on a shared characteristic.
y = 2x^2 - 3
N! / (k!)(n-k)!
10

18. Evaluate 4/11 + 11/12
Angle/360 x 2(pi)r
The set of input values for a function.
x^(2(4)) =x^8 = (x^4)^2
1 & 37/132

19. x^6 / x^3
x^(6-3) = x^3
(b + c)
Cd
2 & 3/7

20. What is a major arc?

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21. What is the 'Restricted domain of a function'?
10
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
When the function is not defined for all real numbers -; only a subset of the real numbers.
A= I (1 + (r/c))^tC - where I is the investment - C is the number of times compounded annually - and t is the number of years.

22. Which is greater? 27^(-4) or 9^(-8)
(amount of decrease/original price) x 100%
90
28. n = 8 - k = 2. n! / k!(n-k)!
27^(-4)

23. 1/8 in percent?
12.5%
1/(x^y)
A reflection about the origin.
90pi

24. What are the members or elements of a set?
Its last two digits are divisible by 4.
The objects within a set.
18
y = (x + 5)/2

25. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
9 & 6/7
62.5%
(base*height) / 2

26. Convert 0.7% to a fraction.
Ax^2 + bx + c where a -b and c are constants and a /=0
53 - 59
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
7 / 1000

27. 7/8 in percent?
Lies opposite the greater angle
2sqrt6
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
87.5%

28. The ratio of the areas of two similar polygons is ...
11 - 13 - 17 - 19
Diameter(Pi)
... the square of the ratios of the corresponding sides.
61 - 67

29. Evaluate 3& 2/7 / 1/3
9 : 25
9 & 6/7
An isosceles right triangle.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

30. Simplify 9^(1/2) X 4^3 X 2^(-6)?
2 & 3/7
441000 = 1 10 10 10 21 * 21
3
20.5

31. How to find the diagonal of a rectangular solid?
3
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Ax^2 + bx + c where a -b and c are constants and a /=0

32. a^2 - b^2
(a - b)(a + b)
Two angles whose sum is 180.
A = pi(r^2)
An isosceles right triangle.

33. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
12! / 5!7! = 792
C = 2(pi)r
61 - 67

34. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
Sector area = (n/360) X (pi)r^2
Part = Percent X Whole
10! / 3!(10-3)! = 120

35. What is the formula for computing simple interest?
90
The set of elements which can be found in either A or B.
A = I (1 + rt)
I

36. What is the slope of a vertical line?

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37. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The objects within a set.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
8
83.333%

38. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
y = (x + 5)/2
1
An infinite set.

39. What is the graph of f(x) shifted right c units or spaces?
1
Infinite.
1/2 times 7/3
F(x-c)

40. What is a minor arc?

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41. If an inequality is multiplied or divided by a negative number....
12sqrt2
The direction of the inequality is reversed.
1/a^6
(a - b)(a + b)

42. What is the side length of an equilateral triangle with altitude 6?
A = pi(r^2)
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
A set with a number of elements which can be counted.
When the function is not defined for all real numbers -; only a subset of the real numbers.

43. Can the output value of a function have more than one input value?
(p + q)/5
Yes. [i.e. f(x) = x^2 - 1
The steeper the slope.
10! / (10-3)! = 720

44. What is the percent formula?
A 30-60-90 triangle.
3sqrt4
Part = Percent X Whole
Angle/360 x (pi)r^2

45. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Its last two digits are divisible by 4.
2
The interesection of A and B.
1

46. Which quandrant is the lower right hand?
IV
I
4a^2(b)
The empty set - denoted by a circle with a diagonal through it.

47. sqrt 2(sqrt 6)=
Infinite.
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
Yes. [i.e. f(x) = x^2 - 1
Sqrt 12

48. What are the real numbers?
No - only like radicals can be added.
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
IV

49. Reduce: 4.8 : 0.8 : 1.6
2(pi)r^2 + 2(pi)rh
Yes - like radicals can be added/subtracted.
The set of input values for a function.
6 : 1 : 2

50. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
The sum of digits is divisible by 9.
A circle centered at -2 - -2 with radius 3.
A set with a number of elements which can be counted.
Its divisible by 2 and by 3.