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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 name for a grouping of the members within a set based on a shared characteristic?
48
A subset.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

2. 2sqrt4 + sqrt4 =
3sqrt4
True
61 - 67
4096

3. x^6 / x^3
x^(6-3) = x^3
20.5
1/(x^y)
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.

4. What is the slope of a vertical line?

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5. How to find the area of a sector?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
x^(6-3) = x^3
Angle/360 x (pi)r^2
Angle/360 x 2(pi)r

6. What number between 70 & 75 - inclusive - has the greatest number of factors?
A tangent is a line that only touches one point on the circumference of a circle.
20.5
72
2.592 kg

7. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
A = I (1 + rt)
1/a^6
G(x) = {x}
Cd

8. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A tangent is a line that only touches one point on the circumference of a circle.
I
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

9. a^2 - b^2 =
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(a - b)(a + b)
Lies opposite the greater angle
2 & 3/7

10. What are congruent triangles?
Triangles with same measure and same side lengths.
Members or elements
F(x) - c
(amount of increase/original price) x 100%

11. What is the 'domain' of a function?
28. n = 8 - k = 2. n! / k!(n-k)!
I
The set of input values for a function.
61 - 67

12. To convert a percent to a fraction....
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Divide by 100.
$11 -448

13. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
F(x + c)
13
12.5%

14. x^4 + x^7 =
4a^2(b)
x^(4+7) = x^11
48
1

15. Formula to find a circle'S circumference from its diameter?
(a + b)^2
(b + c)
C = (pi)d
A circle centered on the origin with radius 8.

16. How many multiples does a given number have?
Infinite.
III
52
0

17. 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?
1
y = 2x^2 - 3
An arc is a portion of a circumference of a circle.
0

18. 60 < all primes <70
A circle centered on the origin with radius 8.
C = (pi)d
61 - 67
3

19. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
4725
10! / (10-3)! = 720
52
13pi / 2

20. x^2 = 9. What is the value of x?
130pi
Ax^2 + bx + c where a -b and c are constants and a /=0
A 30-60-90 triangle.
3 - -3

21. Which is greater? 64^5 or 16^8
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
12.5%
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
90pi

22. What is the area of a regular hexagon with side 6?
72
12! / 5!7! = 792
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
61 - 67

23. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
3
180 degrees
4725

24. What is a chord of a circle?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A chord is a line segment joining two points on a circle.
Its last two digits are divisible by 4.
31 - 37

25. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
9 : 25
2
An arc is a portion of a circumference of a circle.
An expression with just one term (-6x - 2a^2)

26. What are the real 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)
F(x-c)
20.5
67 - 71 - 73

27. 5/6 in percent?
Diameter(Pi)
F(x-c)
83.333%
Two angles whose sum is 90.

28. What is the ratio of the sides of an isosceles right triangle?
3
An expression with just one term (-6x - 2a^2)
1:1:sqrt2
4:5

29. What is the graph of f(x) shifted upward c units or spaces?
6
A chord is a line segment joining two points on a circle.
(base*height) / 2
F(x) + c

30. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
An isosceles right triangle.
The third side is greater than the difference and less than the sum.
F(x + c)
10! / 3!(10-3)! = 120

31. The slope of a line perpendicular to (a/b)?
(a - b)(a + b)
90pi
A grouping of the members within a set based on a shared characteristic.
Its negative reciprocal. (-b/a)

32. What is the 'Solution' for a system of linear equations?
1.0843 X 10^11
1/(x^y)
The point of intersection of the systems.
The objects within a set.

33. 40 < all primes<50
Undefined
10! / 3!(10-3)! = 120
41 - 43 - 47
The direction of the inequality is reversed.

34. What are the integers?
288 (8 9 4)
6
(a - b)^2
All numbers multiples of 1.

35. Factor x^2 - xy + x.
4a^2(b)
Infinite.
2
x(x - y + 1)

36. 30< all primes<40
Triangles with same measure and same side lengths.
III
31 - 37
1:sqrt3:2

37. Pi is a ratio of what to what?

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38. 5/8 in percent?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
62.5%
1
The interesection of A and B.

39. What is the set of elements found in both A and B?
Members or elements
The interesection of A and B.
The curve opens upward and the vertex is the minimal point on the graph.
1:1:sqrt2

40. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Divide by 100.
A circle centered at -2 - -2 with radius 3.

41. x^(-y)=
A = I (1 + rt)
90 degrees
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
1/(x^y)

42. Simplify the expression [(b^2 - c^2) / (b - c)]
75:11
5
(a - b)^2
(b + c)

43. What is the absolute value function?
1
(amount of decrease/original price) x 100%
No - only like radicals can be added.
G(x) = {x}

44. What is a parabola?
1
2(pi)r^2 + 2(pi)rh
Ax^2 + bx + c where a -b and c are constants and a /=0
Divide by 100.

45. A number is divisible by 4 is...
All numbers multiples of 1.
10! / (10-3)! = 720
Its last two digits are divisible by 4.
3

46. What is the side length of an equilateral triangle with altitude 6?
1
A reflection about the origin.
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...
18

47. Order of quadrants:
1.7
From northeast - counterclockwise. I - II - III - IV
(amount of decrease/original price) x 100%
An expression with just one term (-6x - 2a^2)

48. The objects in a set are called two names:
Members or elements
A reflection about the origin.
(amount of decrease/original price) x 100%
4.25 - 6 - 22

49. What is an isoceles triangle?
$11 -448
Two equal sides and two equal angles.
IV
1.7

50. 10<all primes<20
11 - 13 - 17 - 19
Indeterminable.
Sector area = (n/360) X (pi)r^2
Infinite.