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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. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
180
1
A set with a number of elements which can be counted.
4725

2. Surface area for a cylinder?
(b + c)
x= (1.2)(.8)lw
2(pi)r^2 + 2(pi)rh
IV

3. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
x^(4+7) = x^11
x^(6-3) = x^3
x^(2(4)) =x^8 = (x^4)^2

4. 5x^2 - 35x -55 = 0
A set with no members - denoted by a circle with a diagonal through it.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
y = 2x^2 - 3
(a + b)^2

5. What is the 'Range' of a function?
The curve opens downward and the vertex is the maximum point on the graph.
Members or elements
Move the decimal point to the right x places
The set of output values for a function.

6. Formula to find a circle'S circumference from its diameter?
C = (pi)d
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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

7. Simplify the expression [(b^2 - c^2) / (b - c)]
90 degrees
(b + c)
Even
3/2 - 5/3

8. P and r are factors of 100. What is greater - pr or 100?
Part = Percent X Whole
Indeterminable.
Move the decimal point to the right x places
3sqrt4

9. Circumference of a circle?
Diameter(Pi)
2 & 3/7
4:5
6 : 1 : 2

10. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
5
8
A = pi(r^2)
The curve opens downward and the vertex is the maximum point on the graph.

11. 20<all primes<30
F(x) - c
53 - 59
23 - 29
Yes - like radicals can be added/subtracted.

12. 8.84 / 5.2
441000 = 1 10 10 10 21 * 21
11 - 13 - 17 - 19
1 & 37/132
1.7

13. 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)]?
F(x + c)
True
5
20.5

14. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
5 OR -5
9 & 6/7
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

15. What is a major arc?

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16. What is a tangent?
$3 -500 in the 9% and $2 -500 in the 7%.
2(pi)r^2 + 2(pi)rh
N! / (n-k)!
A tangent is a line that only touches one point on the circumference of a circle.

17. What is the side length of an equilateral triangle with altitude 6?
(a + b)^2
The overlapping sections.
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...
27^(-4)

18. What is the graph of f(x) shifted right c units or spaces?
When the function is not defined for all real numbers -; only a subset of the real numbers.
Its last two digits are divisible by 4.
8
F(x-c)

19. Max and Min lengths for a side of a triangle?
87.5%
The sum of digits is divisible by 9.
The third side is greater than the difference and less than the sum.
Factors are few - multiples are many.

20. 3/8 in percent?
A = I (1 + rt)
y = (x + 5)/2
Triangles with same measure and same side lengths.
37.5%

21. x^(-y)=
1/(x^y)
A = I (1 + rt)
An angle which is supplementary to an interior angle.
12sqrt2

22. What is the slope of a vertical line?

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23. Area of a triangle?
(base*height) / 2
5
90pi
Ax^2 + bx + c where a -b and c are constants and a /=0

24. What is an isoceles triangle?
The set of output values for a function.
Sector area = (n/360) X (pi)r^2
Two equal sides and two equal angles.
10! / 3!(10-3)! = 120

25. What is the absolute value function?
G(x) = {x}
2^9 / 2 = 256
5 OR -5
1

26. Formula of rectangle where l increases by 20% and w decreases by 20%
87.5%
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)
6
x= (1.2)(.8)lw

27. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
10! / (10-3)! = 720
An expression with just one term (-6x - 2a^2)
Pi is the ratio of a circle'S circumference to its diameter.
y = 2x^2 - 3

28. 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)?
y = (x + 5)/2
y = 2x^2 - 3
3sqrt4
Undefined

29. Formula to find a circle'S circumference from its radius?
61 - 67
IV
52
C = 2(pi)r

30. How to find the area of a sector?
III
x(x - y + 1)
Angle/360 x (pi)r^2
Diameter(Pi)

31. 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))?
20.5
83.333%
10
Diameter(Pi)

32. Which is greater? 27^(-4) or 9^(-8)
5 OR -5
27^(-4)
441000 = 1 10 10 10 21 * 21
2 & 3/7

33. How to determine percent decrease?
2sqrt6
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
3
(amount of decrease/original price) x 100%

34. Can you subtract 3sqrt4 from sqrt4?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
3sqrt4
Yes - like radicals can be added/subtracted.
500

35. 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?
A set with no members - denoted by a circle with a diagonal through it.
10! / 3!(10-3)! = 120
Its last two digits are divisible by 4.
(n-2) x 180

36. Whats the difference between factors and multiples?
1:sqrt3:2
Factors are few - multiples are many.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Its last two digits are divisible by 4.

37. Simplify (a^2 + b)^2 - (a^2 - b)^2
A tangent is a line that only touches one point on the circumference of a circle.
4a^2(b)
12sqrt2
8

38. What is the measure of an exterior angle of a regular pentagon?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
75:11
72
Sqrt 12

39. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
4.25 - 6 - 22
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)
72
x^(6-3) = x^3

40. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
The overlapping sections.
55%
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.

41. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
4096
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
12! / 5!7! = 792
52

42. a^2 + 2ab + b^2
Its divisible by 2 and by 3.
Part = Percent X Whole
(a + b)^2
1

43. What is an exterior angle?
The shortest arc between points A and B on a circle'S diameter.
An angle which is supplementary to an interior angle.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

44. a^2 - b^2
2^9 / 2 = 256
3/2 - 5/3
(a - b)(a + b)
5 OR -5

45. a^0 =
1
Members or elements
Two angles whose sum is 90.
... the square of the ratios of the corresponding sides.

46. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
An infinite set.
52
3sqrt4
A 30-60-90 triangle.

47. The objects in a set are called two names:
(a + b)^2
Infinite.
Members or elements
The point of intersection of the systems.

48. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
The curve opens downward and the vertex is the maximum point on the graph.
An expression with just one term (-6x - 2a^2)
87.5%
1

49. 25^(1/2) or sqrt. 25 =
53 - 59
90
55%
5 OR -5

50. What are the integers?
All numbers multiples of 1.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(amount of increase/original price) x 100%
The union of A and B.