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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. Describe the relationship between the graphs of x^2 and (1/2)x^2
No - only like radicals can be added.
The greatest value minus the smallest.
The second graph is less steep.
12.5%

2. Simplify (a^2 + b)^2 - (a^2 - b)^2
6
441000 = 1 10 10 10 21 * 21
4a^2(b)
An angle which is supplementary to an interior angle.

3. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
(amount of decrease/original price) x 100%
9 & 6/7
.0004809 X 10^11

4. What is a set with no members called?
The greatest value minus the smallest.
The empty set - denoted by a circle with a diagonal through it.
x^(2(4)) =x^8 = (x^4)^2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

5. 5/8 in percent?
Its last two digits are divisible by 4.
Undefined - because we can'T divide by 0.
62.5%
(a - b)(a + b)

6. To multiply a number by 10^x
37.5%
(b + c)
Move the decimal point to the right x places
10

7. Whats the difference between factors and multiples?
67 - 71 - 73
12sqrt2
Factors are few - multiples are many.
x(x - y + 1)

8. Legs: 3 - 4. Hypotenuse?
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...
5
Factors are few - multiples are many.
Infinite.

9. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
An angle which is supplementary to an interior angle.
1 & 37/132
An expression with just one term (-6x - 2a^2)

10. x^4 + x^7 =
x^(4+7) = x^11
53 - 59
F(x) + c
130pi

11. What percent of 40 is 22?
55%
x^(6-3) = x^3
23 - 29
18

12. Circumference of a circle?
Diameter(Pi)
The interesection of A and B.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
An isosceles right triangle.

13. (a^-1)/a^5
(a + b)^2
An infinite set.
A reflection about the axis.
1/a^6

14. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
(base*height) / 2
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)
Sqrt 12
28. n = 8 - k = 2. n! / k!(n-k)!

15. A number is divisible by 6 if...
Its divisible by 2 and by 3.
10! / (10-3)! = 720
12.5%
The shortest arc between points A and B on a circle'S diameter.

16. Simplify the expression (p^2 - q^2)/ -5(q - p)
2(pi)r^2 + 2(pi)rh
I
(p + q)/5
y = (x + 5)/2

17. What is an exterior angle?
Its divisible by 2 and by 3.
The set of input values for a function.
An angle which is supplementary to an interior angle.
Two angles whose sum is 180.

18. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
67 - 71 - 73
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
12.5%

19. 1/2 divided by 3/7 is the same as
(n-2) x 180
1/2 times 7/3
8
... the square of the ratios of the corresponding sides.

20. a^2 + 2ab + b^2
(a + b)^2
A = pi(r^2)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
(a - b)(a + b)

21. How to find the area of a sector?
72
(b + c)
An arc is a portion of a circumference of a circle.
Angle/360 x (pi)r^2

22. When the 'a' in a parabola is positive....
3
70
The curve opens upward and the vertex is the minimal point on the graph.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

23. What is the empty set?
Move the decimal point to the right x places
1:1:sqrt2
x^(4+7) = x^11
A set with no members - denoted by a circle with a diagonal through it.

24. sqrt 2(sqrt 6)=
Sqrt 12
3
6
No - the input value has exactly one output.

25. 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.
130pi
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Cd

26. What is the graph of f(x) shifted right c units or spaces?
1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
F(x-c)
The union of A and B.

27. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
23 - 29
An expression with just one term (-6x - 2a^2)

28. 20<all primes<30
The longest arc between points A and B on a circle'S diameter.
4:5
23 - 29
The sum of digits is divisible by 9.

29. What are the irrational numbers?

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30. What is the formula for computing simple interest?
87.5%
C = (pi)d
12! / 5!7! = 792
A = I (1 + rt)

31. What are 'Supplementary angles?'
Two angles whose sum is 180.
6
A = pi(r^2)
3

32. x^2 = 9. What is the value of x?
The greatest value minus the smallest.
3 - -3
12.5%
A 30-60-90 triangle.

33. What is the set of elements which can be found in either A or B?
The union of A and B.
10! / (10-3)! = 720
(n-2) x 180
Relationship cannot be determined (what if x is negative?)

34. Pi is a ratio of what to what?

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35. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
Cd
1
(amount of increase/original price) x 100%

36. x^(-y)=
Its negative reciprocal. (-b/a)
1/a^6
1/(x^y)
(amount of decrease/original price) x 100%

37. What does the graph x^2 + y^2 = 64 look like?
90 degrees
A circle centered on the origin with radius 8.
... the square of the ratios of the corresponding sides.
The set of input values for a function.

38. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
No - only like radicals can be added.
23 - 29
3

39. Reduce: 4.8 : 0.8 : 1.6
90pi
180 degrees
6 : 1 : 2
13

40. 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?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Two angles whose sum is 90.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
52

41. How to find the diagonal of a rectangular solid?
A chord is a line segment joining two points on a circle.
No - the input value has exactly one output.
67 - 71 - 73
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

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

43. What is the intersection of A and B?
67 - 71 - 73
12sqrt2
The set of elements found in both A and B.
12! / 5!7! = 792

44. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
90 degrees
A circle centered at -2 - -2 with radius 3.
413.03 / 10^4 (move the decimal point 4 places to the left)
2(pi)r^2 + 2(pi)rh

45. What is a piecewise equation?
The set of input values for a function.
72
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
70

46. 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)]?
130pi
True
53 - 59
Undefined

47. What is a chord of a circle?
67 - 71 - 73
0
A chord is a line segment joining two points on a circle.
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.

48. Formula for the area of a circle?
A = pi(r^2)
$11 -448
11 - 13 - 17 - 19
The objects within a set.

49. 70 < all primes< 80
0
(amount of decrease/original price) x 100%
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)
71 - 73 - 79

50. 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?
...multiply by 100.
Its divisible by 2 and by 3.
1:1:sqrt2
y = 2x^2 - 3