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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 maximum value for the function g(x) = (-2x^2) -1?
Yes. [i.e. f(x) = x^2 - 1
1
72
90

2. Pi is a ratio of what to what?

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3. A number is divisible by 9 if...
13
The sum of its digits is divisible by 3.
1.7
The sum of digits is divisible by 9.

4. (-1)^3 =
130pi
A chord is a line segment joining two points on a circle.
1
3/2 - 5/3

5. What is the graph of f(x) shifted left c units or spaces?
An angle which is supplementary to an interior angle.
F(x + c)
12.5%
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

6. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
No - only like radicals can be added.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
IV

7. Define a 'Term' -
6
48
x^(4+7) = x^11
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)

8. What are the integers?
A 30-60-90 triangle.
180 degrees
All numbers multiples of 1.
2sqrt6

9. How to find the area of a sector?
Angle/360 x (pi)r^2
90
9 & 6/7
1/(x^y)

10. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
2(pi)r^2 + 2(pi)rh
F(x-c)
1.7

11. 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?
10
(a + b)^2
y = 2x^2 - 3
Two angles whose sum is 90.

12. When the 'a' in the parabola is negative...
20.5
The curve opens downward and the vertex is the maximum point on the graph.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
2sqrt6

13. What is the set of elements found in both A and B?
2.592 kg
The interesection of A and B.
52
Its last two digits are divisible by 4.

14. What is the ratio of the sides of a 30-60-90 triangle?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1:sqrt3:2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)

15. What is a major arc?

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16. Solve the quadratic equation ax^2 + bx + c= 0
A 30-60-90 triangle.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The set of input values for a function.
Move the decimal point to the right x places

17. Can the input value of a function have more than one output value (i.e. x: y - y1)?
1
37.5%
A subset.
No - the input value has exactly one output.

18. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
2
A central angle is an angle formed by 2 radii.
4725
Two equal sides and two equal angles.

19. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A subset.
Yes. [i.e. f(x) = x^2 - 1
C = 2(pi)r

20. What is the name of set with a number of elements which cannot be counted?
90
The steeper the slope.
An infinite set.
(n-2) x 180

21. P and r are factors of 100. What is greater - pr or 100?
A tangent is a line that only touches one point on the circumference of a circle.
Indeterminable.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
16.6666%

22. 20<all primes<30
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
6
(b + c)
23 - 29

23. What are complementary angles?
1/a^6
62.5%
G(x) = {x}
Two angles whose sum is 90.

24. Write 10 -843 X 10^7 in scientific notation
Members or elements
1.0843 X 10^11
An infinite set.
2

25. To convert a percent to a fraction....
Pi is the ratio of a circle'S circumference to its diameter.
Divide by 100.
III
A circle centered on the origin with radius 8.

26. 1/8 in percent?
12.5%
F(x) - c
Two angles whose sum is 180.
Undefined - because we can'T divide by 0.

27. Number of degrees in a triangle
Ax^2 + bx + c where a -b and c are constants and a /=0
The objects within a set.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
180

28. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
3 - -3
x^(4+7) = x^11
The greatest value minus the smallest.

29. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
1
Relationship cannot be determined (what if x is negative?)
The set of elements found in both A and B.

30. What is the 'Range' of a function?
Factors are few - multiples are many.
A circle centered on the origin with radius 8.
The set of output values for a function.
2 & 3/7

31. The larger the absolute value of the slope...
2.592 kg
(amount of decrease/original price) x 100%
The steeper the slope.
Its negative reciprocal. (-b/a)

32. What is the 'Restricted domain of a function'?
4:5
31 - 37
4725
When the function is not defined for all real numbers -; only a subset of the real numbers.

33. x^2 = 9. What is the value of x?
13
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.
53 - 59
3 - -3

34. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
62.5%
31 - 37
28. n = 8 - k = 2. n! / k!(n-k)!
3

35. Which is greater? 27^(-4) or 9^(-8)
90pi
The direction of the inequality is reversed.
27^(-4)
288 (8 9 4)

36. Evaluate 4/11 + 11/12
1 & 37/132
4:5
7 / 1000
From northeast - counterclockwise. I - II - III - IV

37. What does scientific notation mean?
IV
An angle which is supplementary to an interior angle.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
10

38. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
The set of elements which can be found in either A or B.
2^9 / 2 = 256
4:5
Even

39. How to find the circumference of a circle which circumscribes a square?
True
An expression with just one term (-6x - 2a^2)
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)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

40. The ratio of the areas of two similar polygons is ...
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
... the square of the ratios of the corresponding sides.
27^(-4)
The objects within a set.

41. How to find the diagonal of a rectangular solid?
A reflection about the axis.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The set of input values for a function.
Move the decimal point to the right x places

42. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
37.5%
F(x) + c
A reflection about the axis.

43. 6w^2 - w - 15 = 0
... the square of the ratios of the corresponding sides.
(b + c)
Sqrt 12
3/2 - 5/3

44. A number is divisible by 6 if...
x^(6-3) = x^3
Its last two digits are divisible by 4.
Its divisible by 2 and by 3.
90

45. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
IV
1
Cd
y = (x + 5)/2

46. What is a set with no members called?
2sqrt6
The empty set - denoted by a circle with a diagonal through it.
x= (1.2)(.8)lw
Infinite.

47. What is the area of a regular hexagon with side 6?
From northeast - counterclockwise. I - II - III - IV
Arc length = (n/360) x pi(2r) where n is the number of degrees.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The direction of the inequality is reversed.

48. What is the slope of a vertical line?

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49. 1/6 in percent?
4:5
No - only like radicals can be added.
The direction of the inequality is reversed.
16.6666%

50. (-1)^2 =
441000 = 1 10 10 10 21 * 21
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1
130pi