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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. Simplify 9^(1/2) X 4^3 X 2^(-6)?
1:sqrt3:2
4:5
12.5%
3

2. Which is greater? 200x^295 or 10x^294?
11 - 13 - 17 - 19
Relationship cannot be determined (what if x is negative?)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The objects within a set.

3. What is the set of elements found in both A and B?
A set with no members - denoted by a circle with a diagonal through it.
The objects within a set.
Undefined
The interesection of A and B.

4. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
The union of A and B.
$3 -500 in the 9% and $2 -500 in the 7%.
I
9 : 25

5. Evaluate (4^3)^2
4096
(a - b)^2
27^(-4)
3

6. 50 < all primes< 60
27^(-4)
4:5
413.03 / 10^4 (move the decimal point 4 places to the left)
53 - 59

7. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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 circle centered at -2 - -2 with radius 3.

8. What is the sum of the angles of a triangle?
N! / (k!)(n-k)!
(a - b)^2
Cd
180 degrees

9. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
II
(amount of increase/original price) x 100%
The shortest arc between points A and B on a circle'S diameter.

10. When the 'a' in a parabola is positive....
The curve opens upward and the vertex is the minimal point on the graph.
0
1:1:sqrt2
(a + b)^2

11. 25^(1/2) or sqrt. 25 =
5 OR -5
0
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
180 degrees

12. Max and Min lengths for a side of a triangle?
$3 -500 in the 9% and $2 -500 in the 7%.
x^(4+7) = x^11
The third side is greater than the difference and less than the sum.
31 - 37

13. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
$3 -500 in the 9% and $2 -500 in the 7%.
The interesection of A and B.
Two angles whose sum is 180.
3

14. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
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 - the input value has exactly one output.
2
288 (8 9 4)

15. (a^-1)/a^5
1/a^6
A = pi(r^2)
6
The steeper the slope.

16. Volume for a cylinder?
5
C = (pi)d
Area of the base X height = (pi)hr^2
The curve opens downward and the vertex is the maximum point on the graph.

17. Which quadrant is the upper left hand?
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)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
II
1

18. If an inequality is multiplied or divided by a negative number....
The two xes after factoring.
The direction of the inequality is reversed.
4096
5 OR -5

19. What is the graph of f(x) shifted upward c units or spaces?
The curve opens upward and the vertex is the minimal point on the graph.
F(x) + c
F(x + c)
N! / (k!)(n-k)!

20. Order of quadrants:
(a - b)^2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The steeper the slope.
From northeast - counterclockwise. I - II - III - IV

21. What is the 'Solution' for a system of linear equations?
Lies opposite the greater angle
The two xes after factoring.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The point of intersection of the systems.

22. Legs 6 - 8. Hypotenuse?
4a^2(b)
III
10
441000 = 1 10 10 10 21 * 21

23. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
10! / (10-3)! = 720
The overlapping sections.
2 & 3/7

24. What does scientific notation mean?
12sqrt2
A reflection about the origin.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1/a^6

25. What are the integers?
All numbers multiples of 1.
The shortest arc between points A and B on a circle'S diameter.
A chord is a line segment joining two points on a circle.
(n-2) x 180

26. What is the graph of f(x) shifted downward c units or spaces?
Diameter(Pi)
F(x) - c
Yes. [i.e. f(x) = x^2 - 1
37.5%

27. 7/8 in percent?
.0004809 X 10^11
130pi
1/2 times 7/3
87.5%

28. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
1/a^6
True
7 / 1000
All numbers multiples of 1.

29. How to find the area of a sector?
Angle/360 x (pi)r^2
A set with a number of elements which can be counted.
An isosceles right triangle.
Its negative reciprocal. (-b/a)

30. a^2 - b^2
(a - b)(a + b)
Lies opposite the greater angle
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
4725

31. 0^0
N! / (k!)(n-k)!
The two xes after factoring.
x= (1.2)(.8)lw
Undefined

32. 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)!
(b + c)
7 / 1000
3 - -3

33. What is the slope of a horizontal line?
4725
0
Arc length = (n/360) x pi(2r) where n is the number of degrees.
An isosceles right triangle.

34. x^2 = 9. What is the value of x?
3 - -3
Two angles whose sum is 90.
41 - 43 - 47
9 : 25

35. (12sqrt15) / (2sqrt5) =
Area of the base X height = (pi)hr^2
A subset.
62.5%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

36. Write 10 -843 X 10^7 in scientific notation
A chord is a line segment joining two points on a circle.
1.0843 X 10^11
C = (pi)d
67 - 71 - 73

37. Can you add sqrt 3 and sqrt 5?
The set of output values for a function.
No - only like radicals can be added.
8
2 & 3/7

38. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Triangles with same measure and same side lengths.
87.5%
8
Yes - like radicals can be added/subtracted.

39. Circumference of a circle?
Diameter(Pi)
4725
13pi / 2
x^(6-3) = x^3

40. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
The set of output values for a function.
70
Angle/360 x (pi)r^2

41. What is the order of operations?
(amount of increase/original price) x 100%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
An angle which is supplementary to an interior angle.
An infinite set.

42. The larger the absolute value of the slope...
The steeper the slope.
C = (pi)d
... the square of the ratios of the corresponding sides.
F(x-c)

43. What is an arc of a circle?
No - the input value has exactly one output.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An arc is a portion of a circumference of a circle.
10

44. To convert a percent to a fraction....
8
A = pi(r^2)
Divide by 100.
The curve opens upward and the vertex is the minimal point on the graph.

45. Factor x^2 - xy + x.
The set of elements found in both A and B.
4096
x(x - y + 1)
(base*height) / 2

46. To multiply a number by 10^x
No - the input value has exactly one output.
Move the decimal point to the right x places
1
11 - 13 - 17 - 19

47. What is the area of a regular hexagon with side 6?
F(x-c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
F(x + c)
10

48. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The objects within a set.
53 - 59
55%

49. Formula to find a circle'S circumference from its radius?
An infinite set.
An angle which is supplementary to an interior angle.
6
C = 2(pi)r

50. Define an 'expression'.
Its negative reciprocal. (-b/a)
1:1:sqrt2
(n-2) x 180
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)