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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. Which quadrant is the upper right hand?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
I
x= (1.2)(.8)lw
2 & 3/7

2. How to determine percent increase?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
y = 2x^2 - 3
(amount of increase/original price) x 100%
All numbers multiples of 1.

3. Area of a triangle?
(base*height) / 2
Its divisible by 2 and by 3.
The second graph is less steep.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

4. What is the 'Solution' for a system of linear equations?
The third side is greater than the difference and less than the sum.
Yes - like radicals can be added/subtracted.
0
The point of intersection of the systems.

5. Can you add sqrt 3 and sqrt 5?
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.
A set with no members - denoted by a circle with a diagonal through it.
180
No - only like radicals can be added.

6. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
A circle centered at -2 - -2 with radius 3.
x^(4+7) = x^11
4.25 - 6 - 22
3

7. Whats the difference between factors and multiples?
12! / 5!7! = 792
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)
Factors are few - multiples are many.
N! / (k!)(n-k)!

8. a^2 - b^2 =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(a - b)(a + b)
Area of the base X height = (pi)hr^2
An angle which is supplementary to an interior angle.

9. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
N! / (k!)(n-k)!
130pi
The longest arc between points A and B on a circle'S diameter.

10. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
90 degrees
3
A = pi(r^2)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

11. 30< all primes<40
31 - 37
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1
71 - 73 - 79

12. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
(n-2) x 180
Angle/360 x 2(pi)r
IV
Cd

13. A number is divisible by 3 if ...
The set of input values for a function.
The sum of its digits is divisible by 3.
A reflection about the origin.
N! / (n-k)!

14. What is the intersection of A and 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)
1:sqrt3:2
The set of elements found in both A and B.
The interesection of A and B.

15. What is the name of set with a number of elements which cannot be counted?
The curve opens downward and the vertex is the maximum point on the graph.
The set of input values for a function.
4096
An infinite set.

16. What is a subset?
An angle which is supplementary to an interior angle.
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...
4725
A grouping of the members within a set based on a shared characteristic.

17. A number is divisible by 6 if...
3 - -3
Its divisible by 2 and by 3.
28. n = 8 - k = 2. n! / k!(n-k)!
Yes. [i.e. f(x) = x^2 - 1

18. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
8
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
9 & 6/7

19. What is the ratio of the sides of a 30-60-90 triangle?
A = I (1 + rt)
1:sqrt3:2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
12! / 5!7! = 792

20. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
(a + b)^2
2
C = (pi)d
1

21. Define an 'expression'.
N! / (n-k)!
...multiply by 100.
413.03 / 10^4 (move the decimal point 4 places to the left)
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)

22. Simplify 9^(1/2) X 4^3 X 2^(-6)?
A set with no members - denoted by a circle with a diagonal through it.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
288 (8 9 4)
3

23. 70 < all primes< 80
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)
Sector area = (n/360) X (pi)r^2
41 - 43 - 47
71 - 73 - 79

24. What is the name for a grouping of the members within a set based on a shared characteristic?
(b + c)
3sqrt4
2sqrt6
A subset.

25. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
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...
II
72

26. What are complementary angles?
Two angles whose sum is 180.
1 & 37/132
Two angles whose sum is 90.
C = 2(pi)r

27. x^(-y)=
x^(2(4)) =x^8 = (x^4)^2
1/(x^y)
(n-2) x 180
A set with no members - denoted by a circle with a diagonal through it.

28. Which is greater? 64^5 or 16^8
A reflection about the axis.
F(x) + c
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
1

29. a^2 + 2ab + b^2
(a + b)^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
C = (pi)d
2 & 3/7

30. What number between 70 & 75 - inclusive - has the greatest number of factors?
F(x-c)
72
413.03 / 10^4 (move the decimal point 4 places to the left)
The third side is greater than the difference and less than the sum.

31. What are the rational numbers?
1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1
1

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)!
1:1:sqrt2
Angle/360 x (pi)r^2
13pi / 2

33. The slope of a line perpendicular to (a/b)?
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...
The set of elements which can be found in either A or B.
4.25 - 6 - 22
Its negative reciprocal. (-b/a)

34. 5x^2 - 35x -55 = 0
1/(x^y)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Two equal sides and two equal angles.
1.0843 X 10^11

35. 4.809 X 10^7 =
.0004809 X 10^11
(a - b)^2
Part = Percent X Whole
(n-2) x 180

36. 5/8 in percent?
62.5%
Part = Percent X Whole
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1

37. What is the 'Restricted domain of a function'?
The objects within a set.
When the function is not defined for all real numbers -; only a subset of the real numbers.
87.5%
A = pi(r^2)

38. Simplify the expression (p^2 - q^2)/ -5(q - p)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(p + q)/5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(n-2) x 180

39. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
(amount of increase/original price) x 100%
$3 -500 in the 9% and $2 -500 in the 7%.
72
A 30-60-90 triangle.

40. What is a parabola?
The sum of its digits is divisible by 3.
52
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Ax^2 + bx + c where a -b and c are constants and a /=0

41. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
.0004809 X 10^11
75:11
The interesection of A and B.
4.25 - 6 - 22

42. How to determine percent decrease?
(amount of decrease/original price) x 100%
Part = Percent X Whole
1:1:sqrt2
x^(6-3) = x^3

43. Simplify the expression [(b^2 - c^2) / (b - c)]
Move the decimal point to the right x places
500
y = 2x^2 - 3
(b + c)

44. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
...multiply by 100.
13pi / 2
3 - -3
A reflection about the origin.

45. 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?
0
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
10! / 3!(10-3)! = 120
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

46. What is a minor arc?

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47. A number is divisible by 4 is...
(a - b)^2
The second graph is less steep.
Its last two digits are divisible by 4.
All numbers multiples of 1.

48. What is the graph of f(x) shifted left c units or spaces?
10
F(x + c)
(p + q)/5
90pi

49. Legs 5 - 12. Hypotenuse?
2(pi)r^2 + 2(pi)rh
A circle centered at -2 - -2 with radius 3.
13
x^(6-3) = x^3

50. 0^0
Undefined
28. n = 8 - k = 2. n! / k!(n-k)!
11 - 13 - 17 - 19
6 : 1 : 2