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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. When the 'a' in the parabola is negative...
12! / 5!7! = 792
6 : 1 : 2
The curve opens downward and the vertex is the maximum point on the graph.
2(pi)r^2 + 2(pi)rh

2. What are the members or elements of a set?
y = (x + 5)/2
The direction of the inequality is reversed.
The objects within a set.
The steeper the slope.

3. What is an isoceles triangle?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Two equal sides and two equal angles.
A grouping of the members within a set based on a shared characteristic.
2 & 3/7

4. Legs: 3 - 4. Hypotenuse?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
An expression with just one term (-6x - 2a^2)
10! / 3!(10-3)! = 120
5

5. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
$3 -500 in the 9% and $2 -500 in the 7%.
A reflection about the origin.
A grouping of the members within a set based on a shared characteristic.
130pi

6. Is 0 even or odd?
1
Even
37.5%
10! / 3!(10-3)! = 120

7. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
Factors are few - multiples are many.
90
The overlapping sections.

8. 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))?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Yes - like radicals can be added/subtracted.
9 & 6/7
20.5

9. sqrt 2(sqrt 6)=
The greatest value minus the smallest.
55%
Sqrt 12
y = 2x^2 - 3

10. A number is divisible by 3 if ...
...multiply by 100.
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)
The sum of its digits is divisible by 3.
A chord is a line segment joining two points on a circle.

11. Can the output value of a function have more than one input value?
31 - 37
Yes. [i.e. f(x) = x^2 - 1
The sum of its digits is divisible by 3.
A set with no members - denoted by a circle with a diagonal through it.

12. Define a 'Term' -
1
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)
12.5%
F(x-c)

13. a^2 + 2ab + b^2
The longest arc between points A and B on a circle'S diameter.
An angle which is supplementary to an interior angle.
(a + b)^2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

14. Pi is a ratio of what to what?

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15. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
x(x - y + 1)
Yes - like radicals can be added/subtracted.
$11 -448
The empty set - denoted by a circle with a diagonal through it.

16. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
4:5
A = I (1 + rt)
53 - 59

17. 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)?
87.5%
y = (x + 5)/2
Yes. [i.e. f(x) = x^2 - 1
C = (pi)d

18. 70 < all primes< 80
71 - 73 - 79
1
An arc is a portion of a circumference of a circle.
IV

19. (-1)^2 =
1
Its negative reciprocal. (-b/a)
87.5%
.0004809 X 10^11

20. What are the rational numbers?
Sqrt 12
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
An infinite set.
N! / (k!)(n-k)!

21. Evaluate (4^3)^2
4096
x^(4+7) = x^11
28. n = 8 - k = 2. n! / k!(n-k)!
4725

22. Area of a triangle?
Pi is the ratio of a circle'S circumference to its diameter.
x^(2(4)) =x^8 = (x^4)^2
1.7
(base*height) / 2

23. What is the graph of f(x) shifted upward c units or spaces?
75:11
F(x) + c
A subset.
F(x) - c

24. Which is greater? 27^(-4) or 9^(-8)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The shortest arc between points A and B on a circle'S diameter.
27^(-4)
y = 2x^2 - 3

25. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
The interesection of A and B.
Ax^2 + bx + c where a -b and c are constants and a /=0
90pi

26. What is the 'union' of A and B?
Two equal sides and two equal angles.
2
F(x + c)
The set of elements which can be found in either A or B.

27. What percent of 40 is 22?
55%
67 - 71 - 73
Move the decimal point to the right x places
18

28. Can you add sqrt 3 and sqrt 5?
A subset.
No - only like radicals can be added.
A central angle is an angle formed by 2 radii.
9 : 25

29. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2^9 / 2 = 256
10! / 3!(10-3)! = 120
130pi

30. Legs 5 - 12. Hypotenuse?
13
y = (x + 5)/2
From northeast - counterclockwise. I - II - III - IV
48

31. What is the set of elements which can be found in either A or B?
The objects within a set.
1 & 37/132
The union of A and B.
An isosceles right triangle.

32. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
1
Cd
F(x) - c
1.0843 X 10^11

33. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
7 / 1000
6
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1

34. Factor a^2 + 2ab + b^2
(a + b)^2
Sqrt 12
y = 2x^2 - 3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

35. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
No - only like radicals can be added.
A reflection about the axis.
441000 = 1 10 10 10 21 * 21
G(x) = {x}

36. How to find the area of a sector?
Pi is the ratio of a circle'S circumference to its diameter.
No - the input value has exactly one output.
Even
Angle/360 x (pi)r^2

37. Circumference of a circle?
(base*height) / 2
8
The sum of its digits is divisible by 3.
Diameter(Pi)

38. What is the area of a regular hexagon with side 6?
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)
(b + c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

39. Which quadrant is the upper left hand?
55%
II
Diameter(Pi)
A set with no members - denoted by a circle with a diagonal through it.

40. What is a piecewise equation?
Two equal sides and two equal angles.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
F(x + c)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

41. Number of degrees in a triangle
180
6
The two xes after factoring.
The greatest value minus the smallest.

42. a^2 - b^2
12! / 5!7! = 792
(a - b)(a + b)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
x^(2(4)) =x^8 = (x^4)^2

43. What is the formula for compounded interest?
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.
(amount of decrease/original price) x 100%
2.592 kg
Cd

44. What is the 'Range' of a series of numbers?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
18
The greatest value minus the smallest.
Two angles whose sum is 180.

45. A number is divisible by 9 if...
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The sum of digits is divisible by 9.
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)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

46. (a^-1)/a^5
16.6666%
130pi
1/a^6
A reflection about the axis.

47. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Its divisible by 2 and by 3.
2^9 / 2 = 256
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/a^6

48. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
x^(2(4)) =x^8 = (x^4)^2
48
(a + b)^2
9 : 25

49. What are the roots of the quadrinomial x^2 + 2x + 1?
2
All numbers multiples of 1.
The curve opens downward and the vertex is the maximum point on the graph.
The two xes after factoring.

50. What is a major arc?

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