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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. What is the 'Solution' for a set of inequalities.
1
The overlapping sections.
1/a^6
130pi

2. Define an 'expression'.
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)
x= (1.2)(.8)lw
83.333%
Indeterminable.

3. What is an arc of a circle?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A set with a number of elements which can be counted.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
An arc is a portion of a circumference of a circle.

4. 30< all primes<40
x^(2(4)) =x^8 = (x^4)^2
A subset.
288 (8 9 4)
31 - 37

5. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
An arc is a portion of a circumference of a circle.
27^(-4)
N! / (n-k)!
8

6. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
180 degrees
2^9 / 2 = 256
The steeper the slope.
27^(-4)

7. (x^2)^4
When the function is not defined for all real numbers -; only a subset of the real numbers.
x^(2(4)) =x^8 = (x^4)^2
31 - 37
An isosceles right triangle.

8. What is the set of elements which can be found in either A or B?
The union of A and B.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(a + b)^2
28. n = 8 - k = 2. n! / k!(n-k)!

9. 4.809 X 10^7 =
.0004809 X 10^11
A reflection about the origin.
6
All numbers multiples of 1.

10. When the 'a' in the parabola is negative...
0
Sector area = (n/360) X (pi)r^2
18
The curve opens downward and the vertex is the maximum point on the graph.

11. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Undefined - because we can'T divide by 0.
1.0843 X 10^11
28. n = 8 - k = 2. n! / k!(n-k)!
y = 2x^2 - 3

12. What is a central angle?
(a + b)^2
An expression with just one term (-6x - 2a^2)
A central angle is an angle formed by 2 radii.
An isosceles right triangle.

13. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Its divisible by 2 and by 3.
A reflection about the origin.
2(pi)r^2 + 2(pi)rh
2^9 / 2 = 256

14. Pi is a ratio of what to what?

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15. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
A set with no members - denoted by a circle with a diagonal through it.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Angle/360 x 2(pi)r

16. Describe the relationship between the graphs of x^2 and (1/2)x^2
180 degrees
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...
The longest arc between points A and B on a circle'S diameter.
The second graph is less steep.

17. Length of an arc of a circle?
The greatest value minus the smallest.
F(x-c)
Sqrt 12
Angle/360 x 2(pi)r

18. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
(a + b)^2
441000 = 1 10 10 10 21 * 21
5
4725

19. Simplify (a^2 + b)^2 - (a^2 - b)^2
.0004809 X 10^11
4a^2(b)
An arc is a portion of a circumference of a circle.
16.6666%

20. What are congruent triangles?
Its negative reciprocal. (-b/a)
C = 2(pi)r
A chord is a line segment joining two points on a circle.
Triangles with same measure and same side lengths.

21. How to find the area of a sector?
2sqrt6
The shortest arc between points A and B on a circle'S diameter.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Angle/360 x (pi)r^2

22. What does the graph x^2 + y^2 = 64 look like?
The interesection of A and B.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Two angles whose sum is 90.
A circle centered on the origin with radius 8.

23. Max and Min lengths for a side of a triangle?
(base*height) / 2
The second graph is less steep.
The third side is greater than the difference and less than the sum.
The steeper the slope.

24. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
180
When the function is not defined for all real numbers -; only a subset of the real numbers.
2
5 OR -5

25. (a^-1)/a^5
31 - 37
1/a^6
The point of intersection of the systems.
1:sqrt3:2

26. Whats the difference between factors and multiples?
Factors are few - multiples are many.
An angle which is supplementary to an interior angle.
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)
8

27. a^2 - 2ab + b^2
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
3
(a - b)^2
75:11

28. Formula to calculate arc length?
288 (8 9 4)
2^9 / 2 = 256
1
Arc length = (n/360) x pi(2r) where n is the number of degrees.

29. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
From northeast - counterclockwise. I - II - III - IV
Cd
(n-2) x 180

30. 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?
62.5%
F(x) - c
y = 2x^2 - 3
4:5

31. What is the 'union' of A and B?
3
(n-2) x 180
The set of elements which can be found in either A or B.
41 - 43 - 47

32. Number of degrees in a triangle
180
IV
(a + b)^2
31 - 37

33. a^0 =
71 - 73 - 79
1:1:sqrt2
28. n = 8 - k = 2. n! / k!(n-k)!
1

34. Which is greater? 200x^295 or 10x^294?
x^(4+7) = x^11
70
441000 = 1 10 10 10 21 * 21
Relationship cannot be determined (what if x is negative?)

35. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
37.5%
The longest arc between points A and B on a circle'S diameter.
C = 2(pi)r
20.5

36. (-1)^2 =
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)
The sum of digits is divisible by 9.
Yes - like radicals can be added/subtracted.
1

37. 70 < all primes< 80
71 - 73 - 79
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)
No - only like radicals can be added.
N! / (n-k)!

38. The slope of a line perpendicular to (a/b)?
From northeast - counterclockwise. I - II - III - IV
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)
Its negative reciprocal. (-b/a)
12! / 5!7! = 792

39. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
11 - 13 - 17 - 19
The sum of digits is divisible by 9.
The curve opens upward and the vertex is the minimal point on the graph.

40. What is the sum of the angles of a triangle?
180 degrees
62.5%
A reflection about the origin.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

41. What is a minor arc?

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42. What is the 'Range' of a series of numbers?
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...
The greatest value minus the smallest.
The point of intersection of the systems.
Its last two digits are divisible by 4.

43. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
A grouping of the members within a set based on a shared characteristic.
Two equal sides and two equal angles.
G(x) = {x}
2 & 3/7

44. x^2 = 9. What is the value of x?
3 - -3
72
1.7
2 & 3/7

45. What is a set with no members called?
67 - 71 - 73
The empty set - denoted by a circle with a diagonal through it.
The second graph is less steep.
2sqrt6

46. 10^6 has how many zeroes?
1:1:sqrt2
6
Its last two digits are divisible by 4.
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...

47. What is the graph of f(x) shifted downward c units or spaces?
(amount of increase/original price) x 100%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
F(x) - c
A chord is a line segment joining two points on a circle.

48. What is the graph of f(x) shifted left c units or spaces?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
F(x + c)
Even
F(x-c)

49. Simplify the expression [(b^2 - c^2) / (b - c)]
Relationship cannot be determined (what if x is negative?)
1:sqrt3:2
(b + c)
8

50. What is the order of operations?
x= (1.2)(.8)lw
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
9 & 6/7
1.7