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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 percent formula?
Part = Percent X Whole
Two angles whose sum is 180.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The union of A and B.

2. A number is divisible by 4 is...
A tangent is a line that only touches one point on the circumference of a circle.
6
Its last two digits are divisible by 4.
72

3. 40 < all primes<50
4096
41 - 43 - 47
28. n = 8 - k = 2. n! / k!(n-k)!
(base*height) / 2

4. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
90pi
A circle centered on the origin with radius 8.
4725
1

5. Define an 'expression'.
y = (x + 5)/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)
x= (1.2)(.8)lw
The curve opens upward and the vertex is the minimal point on the graph.

6. What are the irrational numbers?

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7. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
13pi / 2
2^9 / 2 = 256

8. Order of quadrants:
180
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
From northeast - counterclockwise. I - II - III - IV
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

9. Length of an arc of a circle?
The interesection of A and B.
4:5
Angle/360 x 2(pi)r
8

10. Number of degrees in a triangle
F(x) + c
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
180
1/2 times 7/3

11. 5/6 in percent?
An angle which is supplementary to an interior angle.
83.333%
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
From northeast - counterclockwise. I - II - III - IV

12. 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 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)
An angle which is supplementary to an interior angle.
10! / 3!(10-3)! = 120
1/(x^y)

13. What is the 'union' of A and B?
1 & 37/132
The set of elements which can be found in either A or B.
G(x) = {x}
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...

14. 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?
5 OR -5
(p + q)/5
x= (1.2)(.8)lw
75:11

15. 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?
Area of the base X height = (pi)hr^2
8
Angle/360 x 2(pi)r
$3 -500 in the 9% and $2 -500 in the 7%.

16. What is the surface area of a cylinder with radius 5 and height 8?
130pi
All numbers multiples of 1.
67 - 71 - 73
10! / 3!(10-3)! = 120

17. 6w^2 - w - 15 = 0
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)
3/2 - 5/3
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.
1.7

18. How many sides does a hexagon have?
87.5%
6
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
3/2 - 5/3

19. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
1:sqrt3:2
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
A = I (1 + rt)

20. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
An arc is a portion of a circumference of a circle.
Lies opposite the greater angle
Cd
2

21. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The curve opens downward and the vertex is the maximum point on the graph.
8
Factors are few - multiples are many.
x^(6-3) = x^3

22. 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.
55%
Triangles with same measure and same side lengths.

23. Describe the relationship between the graphs of x^2 and (1/2)x^2
The point of intersection of the systems.
The second graph is less steep.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
A set with no members - denoted by a circle with a diagonal through it.

24. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
No - only like radicals can be added.
A chord is a line segment joining two points on a circle.
C = 2(pi)r

25. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
(n-2) x 180
A central angle is an angle formed by 2 radii.
48

26. Whats the difference between factors and multiples?
The set of elements which can be found in either A or B.
Factors are few - multiples are many.
An expression with just one term (-6x - 2a^2)
Members or elements

27. How to find the circumference of a circle which circumscribes a square?
1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
6 : 1 : 2
The set of elements found in both A and B.

28. 50 < all primes< 60
Area of the base X height = (pi)hr^2
20.5
C = 2(pi)r
53 - 59

29. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
28. n = 8 - k = 2. n! / k!(n-k)!
2^9 / 2 = 256
2

30. In a regular polygon with n sides - the formula for the sum of interior angles
Yes. [i.e. f(x) = x^2 - 1
(n-2) x 180
A central angle is an angle formed by 2 radii.
x= (1.2)(.8)lw

31. What is an exterior angle?
An angle which is supplementary to an interior angle.
(b + c)
$11 -448
The curve opens upward and the vertex is the minimal point on the graph.

32. (6sqrt3) x (2sqrt5) =
The union of A and B.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The set of elements found in both A and B.
Its negative reciprocal. (-b/a)

33. Evaluate 4/11 + 11/12
1 & 37/132
10! / 3!(10-3)! = 120
N! / (k!)(n-k)!
From northeast - counterclockwise. I - II - III - IV

34. What is a piecewise equation?
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.
500
The set of input values for a function.

35. 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?
87.5%
A tangent is a line that only touches one point on the circumference of a circle.
(base*height) / 2
N! / (n-k)!

36. Is 0 even or odd?
When the function is not defined for all real numbers -; only a subset of the real numbers.
1.7
Even
I

37. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
(a - b)(a + b)
Triangles with same measure and same side lengths.
1/a^6

38. a^2 + 2ab + b^2
48
Angle/360 x (pi)r^2
(a + b)^2
II

39. Define a 'Term' -
The sum of its digits is divisible by 3.
61 - 67
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 second graph is less steep.

40. Which quadrant is the upper right hand?
When the function is not defined for all real numbers -; only a subset of the real numbers.
I
A chord is a line segment joining two points on a circle.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

41. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
... the square of the ratios of the corresponding sides.
The empty set - denoted by a circle with a diagonal through it.
N! / (k!)(n-k)!
413.03 / 10^4 (move the decimal point 4 places to the left)

42. 20<all primes<30
(base*height) / 2
71 - 73 - 79
23 - 29
1

43. Simplify 9^(1/2) X 4^3 X 2^(-6)?
90pi
G(x) = {x}
6
3

44. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
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...
y = (x + 5)/2
The direction of the inequality is reversed.
41 - 43 - 47

45. To multiply a number by 10^x
2(pi)r^2 + 2(pi)rh
Move the decimal point to the right x places
83.333%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

46. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Diameter(Pi)
6

47. Volume for a cylinder?
27^(-4)
Area of the base X height = (pi)hr^2
72
1/2 times 7/3

48. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
6
C = 2(pi)r
3/2 - 5/3
A 30-60-90 triangle.

49. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
F(x) - c
Ax^2 + bx + c where a -b and c are constants and a /=0
All numbers multiples of 1.

50. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
2.592 kg
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
5
20.5