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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 'Solution' for a set of inequalities.
(a + b)^2
53 - 59
C = 2(pi)r
The overlapping sections.

2. What are 'Supplementary angles?'
7 / 1000
Two angles whose sum is 90.
Two angles whose sum is 180.
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)

3. When the 'a' in a parabola is positive....
The curve opens upward and the vertex is the minimal point on the graph.
...multiply by 100.
x^(4+7) = x^11
.0004809 X 10^11

4. Formula to find a circle'S circumference from its radius?
The third side is greater than the difference and less than the sum.
C = 2(pi)r
62.5%
3 - -3

5. 30< all primes<40
6
72
31 - 37
180

6. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
1
70
The greatest value minus the smallest.

7. What are complementary angles?
Two angles whose sum is 90.
The steeper the slope.
A = I (1 + rt)
Sector area = (n/360) X (pi)r^2

8. 413.03 x 10^(-4) =
The overlapping sections.
413.03 / 10^4 (move the decimal point 4 places to the left)
Two angles whose sum is 180.
75:11

9. P and r are factors of 100. What is greater - pr or 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)
4a^2(b)
7 / 1000
Indeterminable.

10. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1:sqrt3:2
x^(2(4)) =x^8 = (x^4)^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)

11. What is the 'union' of A and B?
The set of elements found in both A and B.
N! / (k!)(n-k)!
4096
The set of elements which can be found in either A or B.

12. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
7 / 1000
20.5

13. What is the graph of f(x) shifted upward c units or spaces?
A reflection about the origin.
F(x) - c
4096
F(x) + c

14. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Undefined - because we can'T divide by 0.
90pi
13pi / 2
A chord is a line segment joining two points on a circle.

15. How to find the area of a sector?
10
Yes - like radicals can be added/subtracted.
1
Angle/360 x (pi)r^2

16. To convert a percent to a fraction....
The third side is greater than the difference and less than the sum.
The set of elements which can be found in either A or B.
Divide by 100.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

17. Simplify the expression [(b^2 - c^2) / (b - c)]
5
F(x-c)
(b + c)
13pi / 2

18. sqrt 2(sqrt 6)=
55%
Sqrt 12
G(x) = {x}
III

19. 8.84 / 5.2
52
1.7
4a^2(b)
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)

20. The objects in a set are called two names:
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1:1:sqrt2
Members or elements
1

21. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1/a^6
A reflection about the axis.
70

22. (x^2)^4
A central angle is an angle formed by 2 radii.
180
x^(2(4)) =x^8 = (x^4)^2
F(x + c)

23. How to find the circumference of a circle which circumscribes a square?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
3sqrt4
55%

24. What is a tangent?
1.7
A tangent is a line that only touches one point on the circumference of a circle.
5 OR -5
28. n = 8 - k = 2. n! / k!(n-k)!

25. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
An isosceles right triangle.
x^(2(4)) =x^8 = (x^4)^2
1

26. What is the surface area of a cylinder with radius 5 and height 8?
37.5%
130pi
F(x) - c
...multiply by 100.

27. The larger the absolute value of the slope...
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.
II
The steeper the slope.
The two xes after factoring.

28. If an inequality is multiplied or divided by a negative number....
Area of the base X height = (pi)hr^2
The direction of the inequality is reversed.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(base*height) / 2

29. What is a piecewise equation?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
1
Undefined - because we can'T divide by 0.
The objects within a set.

30. What is the sum of the angles of a triangle?
F(x) - c
2
1
180 degrees

31. What is the formula for computing simple interest?
Relationship cannot be determined (what if x is negative?)
A tangent is a line that only touches one point on the circumference of a circle.
A = I (1 + rt)
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)

32. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
The interesection of A and B.
7 / 1000
10

33. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
4.25 - 6 - 22
An isosceles right triangle.
28. n = 8 - k = 2. n! / k!(n-k)!
4096

34. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
Its last two digits are divisible by 4.
Factors are few - multiples are many.
The two xes after factoring.
2.592 kg

35. To convert a decimal to a percent...
Sqrt 12
2(pi)r^2 + 2(pi)rh
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
...multiply by 100.

36. What is the empty set?
III
A set with no members - denoted by a circle with a diagonal through it.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1:sqrt3:2

37. Pi is a ratio of what to what?

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38. 2sqrt4 + sqrt4 =
x^(6-3) = x^3
67 - 71 - 73
F(x + c)
3sqrt4

39. 0^0
Yes - like radicals can be added/subtracted.
Undefined
12.5%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

40. Evaluate 3& 2/7 / 1/3
9 & 6/7
A circle centered at -2 - -2 with radius 3.
Triangles with same measure and same side lengths.
52

41. How many 3-digit positive integers are even and do not contain the digit 4?
Relationship cannot be determined (what if x is negative?)
F(x-c)
288 (8 9 4)
A central angle is an angle formed by 2 radii.

42. What is the area of a regular hexagon with side 6?
28. n = 8 - k = 2. n! / k!(n-k)!
(amount of decrease/original price) x 100%
Infinite.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

43. A number is divisible by 9 if...
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
y = 2x^2 - 3
The sum of digits is divisible by 9.
A central angle is an angle formed by 2 radii.

44. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
41 - 43 - 47
The curve opens downward and the vertex is the maximum point on the graph.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

45. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A reflection about the origin.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
8
A circle centered at -2 - -2 with radius 3.

46. 5x^2 - 35x -55 = 0
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
61 - 67
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

47. 5/6 in percent?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A circle centered on the origin with radius 8.
83.333%

48. 7/8 in percent?
1/a^6
10! / (10-3)! = 720
87.5%
Divide by 100.

49. What are congruent triangles?
(a - b)(a + b)
90pi
x^(4+7) = x^11
Triangles with same measure and same side lengths.

50. What is the intersection of A and B?
x^(2(4)) =x^8 = (x^4)^2
The set of elements found in both A and B.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)