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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. Surface area for a cylinder?
55%
61 - 67
2(pi)r^2 + 2(pi)rh
1.0843 X 10^11

2. Simplify the expression (p^2 - q^2)/ -5(q - p)
The shortest arc between points A and B on a circle'S diameter.
441000 = 1 10 10 10 21 * 21
(p + q)/5
28. n = 8 - k = 2. n! / k!(n-k)!

3. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
Diameter(Pi)
9 : 25
130pi
A subset.

4. What is a finite set?
1 & 37/132
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Undefined - because we can'T divide by 0.
A set with a number of elements which can be counted.

5. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
1.0843 X 10^11
x(x - y + 1)
71 - 73 - 79
A reflection about the axis.

6. 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).
2^9 / 2 = 256
A central angle is an angle formed by 2 radii.
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)

7. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1:1:sqrt2
55%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

8. (12sqrt15) / (2sqrt5) =
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)
16.6666%
12! / 5!7! = 792
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

9. Define a 'Term' -
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)
53 - 59
A circle centered at -2 - -2 with radius 3.
5

10. Define an 'expression'.
Angle/360 x (pi)r^2
1.0843 X 10^11
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.

11. 1/2 divided by 3/7 is the same as
Diameter(Pi)
1/2 times 7/3
Yes - like radicals can be added/subtracted.
1:sqrt3:2

12. What are congruent triangles?
12.5%
Triangles with same measure and same side lengths.
Factors are few - multiples are many.
Ax^2 + bx + c where a -b and c are constants and a /=0

13. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Sector area = (n/360) X (pi)r^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)
28. n = 8 - k = 2. n! / k!(n-k)!
y = (x + 5)/2

14. What is a piecewise equation?
5
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
2

15. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
Infinite.
Sector area = (n/360) X (pi)r^2
Angle/360 x 2(pi)r

16. x^(-y)=
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
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.
The union of A and B.
1/(x^y)

17. 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)]?
... the square of the ratios of the corresponding sides.
True
The set of output values for a function.
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)

18. 1/6 in percent?
Lies opposite the greater angle
Infinite.
16.6666%
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

19. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
90 degrees
$11 -448
413.03 / 10^4 (move the decimal point 4 places to the left)

20. What is the 'Solution' for a set of inequalities.
4096
The overlapping sections.
(amount of decrease/original price) x 100%
Its divisible by 2 and by 3.

21. Which quadrant is the upper right hand?
The two xes after factoring.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
I
C = 2(pi)r

22. What is the absolute value function?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
4a^2(b)
2
G(x) = {x}

23. (-1)^3 =
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1
12.5%
A set with no members - denoted by a circle with a diagonal through it.

24. 10^6 has how many zeroes?
6
The direction of the inequality is reversed.
5 OR -5
C = (pi)d

25. Number of degrees in a triangle
Angle/360 x (pi)r^2
The greatest value minus the smallest.
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)
180

26. 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?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
10! / 3!(10-3)! = 120
The direction of the inequality is reversed.
N! / (k!)(n-k)!

27. What is the slope of a vertical line?

28. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
75:11
4096
55%

29. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
12sqrt2
Cd
2

30. What is an arc of a circle?
3
9 & 6/7
10! / 3!(10-3)! = 120
An arc is a portion of a circumference of a circle.

31. Formula to find a circle'S circumference from its diameter?
y = (x + 5)/2
When the function is not defined for all real numbers -; only a subset of the real numbers.
C = (pi)d
Two equal sides and two equal angles.

32. How to determine percent decrease?
(amount of decrease/original price) x 100%
F(x-c)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
C = 2(pi)r

33. 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?
F(x) + c
The point of intersection of the systems.
1
y = 2x^2 - 3

34. What is an isoceles triangle?
Two equal sides and two equal angles.
4a^2(b)
5
9 & 6/7

35. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Its last two digits are divisible by 4.

36. Simplify 9^(1/2) X 4^3 X 2^(-6)?
An angle which is supplementary to an interior angle.
Even
3
III

37. What is the 'domain' of a function?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The set of input values for a function.
F(x-c)
4:5

38. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
0
Two angles whose sum is 90.
x= (1.2)(.8)lw

39. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
A = I (1 + rt)
A reflection about the origin.
10
0

40. What are the members or elements of a set?
The shortest arc between points A and B on a circle'S diameter.
The objects within a set.
The overlapping sections.
...multiply by 100.

41. 8.84 / 5.2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
x^(4+7) = x^11
The second graph is less steep.
1.7

42. What is a set with no members called?
1:1:sqrt2
(b + c)
The empty set - denoted by a circle with a diagonal through it.
A 30-60-90 triangle.

43. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A chord is a line segment joining two points on a circle.
6
28. n = 8 - k = 2. n! / k!(n-k)!

44. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
A set with no members - denoted by a circle with a diagonal through it.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Arc length = (n/360) x pi(2r) where n is the number of degrees.

45. Legs 5 - 12. Hypotenuse?
90
True
13
A = I (1 + rt)

46. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
0
2^9 / 2 = 256
9 : 25
Pi is the ratio of a circle'S circumference to its diameter.

47. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
500
G(x) = {x}
The sum of digits is divisible by 9.
A tangent is a line that only touches one point on the circumference of a circle.

48. a^0 =
1
1.7
The point of intersection of the systems.
A reflection about the axis.

49. Simplify (a^2 + b)^2 - (a^2 - b)^2
62.5%
0
4a^2(b)
Indeterminable.

50. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
The overlapping sections.
70
Sqrt 12
F(x + c)