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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 intersection of A and B?
The second graph is less steep.
The set of elements found in both A and B.
G(x) = {x}
1

2. 0^0
1
x(x - y + 1)
x= (1.2)(.8)lw
Undefined

3. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
The shortest arc between points A and B on a circle'S diameter.
The overlapping sections.
10! / (10-3)! = 720

4. What is the name for a grouping of the members within a set based on a shared characteristic?
(a + b)^2
3sqrt4
A subset.
An isosceles right triangle.

5. What are the smallest three prime numbers greater than 65?
52
67 - 71 - 73
8
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

6. What are 'Supplementary angles?'
Lies opposite the greater angle
Two angles whose sum is 180.
Undefined - because we can'T divide by 0.
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. Evaluate (4^3)^2
A = I (1 + rt)
An angle which is supplementary to an interior angle.
4096
Arc length = (n/360) x pi(2r) where n is the number of degrees.

8. Formula for the area of a circle?
The curve opens downward and the vertex is the maximum point on the graph.
130pi
A = pi(r^2)
83.333%

9. The objects in a set are called two names:
3sqrt4
Members or elements
y = 2x^2 - 3
F(x-c)

10. Legs: 3 - 4. Hypotenuse?
5
A tangent is a line that only touches one point on the circumference of a circle.
The set of elements which can be found in either A or B.
No - only like radicals can be added.

11. Can you simplify sqrt72?
II
Part = Percent X Whole
The objects within a set.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

12. When does a function automatically have a restricted domain (2)?
71 - 73 - 79
62.5%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
II

13. Solve the quadratic equation ax^2 + bx + c= 0
Sector area = (n/360) X (pi)r^2
1.7
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

14. 40 < all primes<50
The objects within a set.
3/2 - 5/3
The set of elements which can be found in either A or B.
41 - 43 - 47

15. What are the rational numbers?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(a + b)^2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Even

16. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
(a - b)(a + b)
(b + c)
13pi / 2
1 & 37/132

17. Simplify (a^2 + b)^2 - (a^2 - b)^2
C = 2(pi)r
The direction of the inequality is reversed.
4a^2(b)
From northeast - counterclockwise. I - II - III - IV

18. 70 < all primes< 80
71 - 73 - 79
3
55%
2sqrt6

19. Formula of rectangle where l increases by 20% and w decreases by 20%
180 degrees
The point of intersection of the systems.
x= (1.2)(.8)lw
(amount of increase/original price) x 100%

20. Which quadrant is the upper left hand?
II
x^(2(4)) =x^8 = (x^4)^2
1
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

21. x^(-y)=
(p + q)/5
1/(x^y)
N! / (k!)(n-k)!
13pi / 2

22. Which quadrant is the upper right hand?
3
I
Undefined - because we can'T divide by 0.
(a + b)^2

23. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
62.5%
$3 -500 in the 9% and $2 -500 in the 7%.
No - the input value has exactly one output.
III

24. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
28. n = 8 - k = 2. n! / k!(n-k)!
The sum of digits is divisible by 9.
1:1:sqrt2

25. When the 'a' in the parabola is negative...
Part = Percent X Whole
3 - -3
413.03 / 10^4 (move the decimal point 4 places to the left)
The curve opens downward and the vertex is the maximum point on the graph.

26. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The curve opens upward and the vertex is the minimal point on the graph.

27. Can you add sqrt 3 and sqrt 5?
An arc is a portion of a circumference of a circle.
No - only like radicals can be added.
The third side is greater than the difference and less than the sum.
.0004809 X 10^11

28. What is the percent formula?
0
The set of input values for a function.
Part = Percent X Whole
The set of elements found in both A and B.

29. What is the order of operations?
13
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The curve opens upward and the vertex is the minimal point on the graph.
4725

30. A number is divisible by 9 if...
The sum of digits is divisible by 9.
The curve opens upward and the vertex is the minimal point on the graph.
11 - 13 - 17 - 19
A chord is a line segment joining two points on a circle.

31. Circumference of a circle?
x^(6-3) = x^3
A reflection about the axis.
1:1:sqrt2
Diameter(Pi)

32. 50 < all primes< 60
The sum of digits is divisible by 9.
53 - 59
The set of elements found in both A and B.
1

33. P and r are factors of 100. What is greater - pr or 100?
27^(-4)
Yes. [i.e. f(x) = x^2 - 1
1
Indeterminable.

34. 1/8 in percent?
12.5%
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 second graph is less steep.
An isosceles right triangle.

35. What is the 'union' of A and B?
Diameter(Pi)
2(pi)r^2 + 2(pi)rh
Even
The set of elements which can be found in either A or B.

36. What is the graph of f(x) shifted right c units or spaces?
An angle which is supplementary to an interior angle.
F(x-c)
x^(4+7) = x^11
F(x) + c

37. If an inequality is multiplied or divided by a negative number....
1/a^6
500
10! / (10-3)! = 720
The direction of the inequality is reversed.

38. (x^2)^4
Members or elements
A chord is a line segment joining two points on a circle.
2.592 kg
x^(2(4)) =x^8 = (x^4)^2

39. What are congruent triangles?
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)
The objects within a set.
Triangles with same measure and same side lengths.
0

40. Can the input value of a function have more than one output value (i.e. x: y - y1)?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
441000 = 1 10 10 10 21 * 21
No - the input value has exactly one output.
Sqrt 12

41. Which is greater? 27^(-4) or 9^(-8)
No - only like radicals can be added.
4725
0
27^(-4)

42. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
1.7
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
...multiply by 100.
Angle/360 x (pi)r^2

43. What is the 'Solution' for a system of linear equations?
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
The point of intersection of the systems.
A tangent is a line that only touches one point on the circumference of a circle.

44. What is the 'Solution' for a set of inequalities.
$11 -448
The overlapping sections.
41 - 43 - 47
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)

45. 2sqrt4 + sqrt4 =
Factors are few - multiples are many.
72
4:5
3sqrt4

46. How to determine percent increase?
(amount of increase/original price) x 100%
41 - 43 - 47
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)
... the square of the ratios of the corresponding sides.

47. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
2(pi)r^2 + 2(pi)rh
A chord is a line segment joining two points on a circle.
A circle centered on the origin with radius 8.

48. What is an exterior angle?
The direction of the inequality is reversed.
1.0843 X 10^11
5 OR -5
An angle which is supplementary to an interior angle.

49. Pi is a ratio of what to what?

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50. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
28. n = 8 - k = 2. n! / k!(n-k)!
1/a^6
10! / (10-3)! = 720
Yes. [i.e. f(x) = x^2 - 1