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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 a tangent?
Yes - like radicals can be added/subtracted.
87.5%
x^(4+7) = x^11
A tangent is a line that only touches one point on the circumference of a circle.

2. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
Move the decimal point to the right x places
288 (8 9 4)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

3. 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?
N! / (n-k)!
0
1
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

4. What is a subset?
The greatest value minus the smallest.
(b + c)
A grouping of the members within a set based on a shared characteristic.
A reflection about the origin.

5. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
75:11
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(base*height) / 2
Pi is the ratio of a circle'S circumference to its diameter.

6. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
70
5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

7. 40 < all primes<50
41 - 43 - 47
2(pi)r^2 + 2(pi)rh
23 - 29
500

8. In a regular polygon with n sides - the formula for the sum of interior angles
Sqrt 12
The curve opens downward and the vertex is the maximum point on the graph.
(n-2) x 180
A set with no members - denoted by a circle with a diagonal through it.

9. (-1)^2 =
1
Two angles whose sum is 90.
10! / (10-3)! = 720
No - the input value has exactly one output.

10. 7/8 in percent?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
52
87.5%
16.6666%

11. Evaluate 3& 2/7 / 1/3
9 & 6/7
53 - 59
(a - b)(a + b)
(a + b)^2

12. 4.809 X 10^7 =
The third side is greater than the difference and less than the sum.
A = I (1 + rt)
.0004809 X 10^11
4:5

13. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2 & 3/7
3 - -3
2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

14. What is the 'Restricted domain of a function'?
1 & 37/132
N! / (n-k)!
IV
When the function is not defined for all real numbers -; only a subset of the real numbers.

15. Which quadrant is the upper right hand?
I
4.25 - 6 - 22
1
Cd

16. Circumference of a circle?
2.592 kg
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Diameter(Pi)
1

17. What is the 'Range' of a series of numbers?
(a + b)^2
(a + b)^2
The greatest value minus the smallest.
Divide by 100.

18. When the 'a' in a parabola is positive....
2^9 / 2 = 256
1 & 37/132
The curve opens upward and the vertex is the minimal point on the graph.
4a^2(b)

19. What is a piecewise equation?
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 interesection of A and B.
3sqrt4
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

20. What are the members or elements of a set?
The objects within a set.
1/a^6
Divide by 100.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

21. What are the rational numbers?
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)
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...
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
6

22. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
F(x + c)
72
The shortest arc between points A and B on a circle'S diameter.

23. What are the real numbers?
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)
Indeterminable.
1/a^6

24. Pi is a ratio of what to what?

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25. 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?
Its negative reciprocal. (-b/a)
y = 2x^2 - 3
Undefined - because we can'T divide by 0.
55%

26. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
500
Triangles with same measure and same side lengths.
16.6666%

27. What is an exterior angle?
Two angles whose sum is 90.
An angle which is supplementary to an interior angle.
70
27^(-4)

28. What is an isoceles triangle?
(base*height) / 2
Two equal sides and two equal angles.
Undefined - because we can'T divide by 0.
1.0843 X 10^11

29. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
A = I (1 + rt)
55%
No - only like radicals can be added.

30. What are complementary angles?
Two equal sides and two equal angles.
y = 2x^2 - 3
Two angles whose sum is 90.
Undefined - because we can'T divide by 0.

31. What are the smallest three prime numbers greater than 65?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
67 - 71 - 73
1 & 37/132
Diameter(Pi)

32. Number of degrees in a triangle
IV
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 curve opens upward and the vertex is the minimal point on the graph.
180

33. Evaluate 4/11 + 11/12
48
A subset.
An isosceles right triangle.
1 & 37/132

34. 1/2 divided by 3/7 is the same as
x^(4+7) = x^11
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1/2 times 7/3
The interesection of A and B.

35. a^0 =
A central angle is an angle formed by 2 radii.
N! / (k!)(n-k)!
1
Arc length = (n/360) x pi(2r) where n is the number of degrees.

36. 10<all primes<20
An infinite set.
28. n = 8 - k = 2. n! / k!(n-k)!
11 - 13 - 17 - 19
1:1:sqrt2

37. (-1)^3 =
Yes. [i.e. f(x) = x^2 - 1
1
10! / (10-3)! = 720
The point of intersection of the systems.

38. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
An isosceles right triangle.
III
5

39. 50 < all primes< 60
53 - 59
4725
6
Two equal sides and two equal angles.

40. P and r are factors of 100. What is greater - pr or 100?
12! / 5!7! = 792
Even
Indeterminable.
70

41. What are the irrational numbers?

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42. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
12! / 5!7! = 792
The empty set - denoted by a circle with a diagonal through it.
(b + c)
$11 -448

43. Which is greater? 27^(-4) or 9^(-8)
20.5
27^(-4)
180 degrees
11 - 13 - 17 - 19

44. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
27^(-4)
No - the input value has exactly one output.

45. 0^0
0
Undefined
Divide by 100.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

46. A number is divisible by 4 is...
Its last two digits are divisible by 4.
Pi is the ratio of a circle'S circumference to its diameter.
x^(6-3) = x^3
A chord is a line segment joining two points on a circle.

47. Describe the relationship between the graphs of x^2 and (1/2)x^2
An isosceles right triangle.
The longest arc between points A and B on a circle'S diameter.
x^(2(4)) =x^8 = (x^4)^2
The second graph is less steep.

48. Simplify the expression [(b^2 - c^2) / (b - c)]
1/a^6
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
20.5
(b + c)

49. What is the maximum value for the function g(x) = (-2x^2) -1?
1
(a - b)(a + b)
A circle centered at -2 - -2 with radius 3.
0

50. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
The set of input values for a function.
52
2(pi)r^2 + 2(pi)rh