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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. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
12.5%
4:5
61 - 67
72

2. 25^(1/2) or sqrt. 25 =
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.
Its negative reciprocal. (-b/a)
5 OR -5
From northeast - counterclockwise. I - II - III - IV

3. What are congruent triangles?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A set with no members - denoted by a circle with a diagonal through it.
Triangles with same measure and same side lengths.
Divide by 100.

4. a^2 - 2ab + b^2
...multiply by 100.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1
(a - b)^2

5. 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)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The interesection of A and B.
The longest arc between points A and B on a circle'S diameter.

6. What are the real numbers?
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)
An arc is a portion of a circumference of a circle.
0
4a^2(b)

7. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
28. n = 8 - k = 2. n! / k!(n-k)!
.0004809 X 10^11
3/2 - 5/3
A reflection about the axis.

8. What is the slope of a vertical line?

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9. Surface area for a cylinder?
Its divisible by 2 and by 3.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
130pi
2(pi)r^2 + 2(pi)rh

10. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
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
6 : 1 : 2

11. What is the graph of f(x) shifted left c units or spaces?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The empty set - denoted by a circle with a diagonal through it.
F(x + c)
(a - b)(a + b)

12. Which quadrant is the lower left hand?
1/a^6
I
16.6666%
III

13. 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 + b)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The set of elements found in both A and B.
10! / 3!(10-3)! = 120

14. What is the order of operations?
180
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
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
C = 2(pi)r

15. x^2 = 9. What is the value of x?
90 degrees
3 - -3
Triangles with same measure and same side lengths.
The direction of the inequality is reversed.

16. 70 < all primes< 80
71 - 73 - 79
Area of the base X height = (pi)hr^2
4:5
11 - 13 - 17 - 19

17. How to determine percent decrease?
No - only like radicals can be added.
(amount of decrease/original price) x 100%
$11 -448
Lies opposite the greater angle

18. x^(-y)=
1/(x^y)
y = 2x^2 - 3
Relationship cannot be determined (what if x is negative?)
1

19. 5/6 in percent?
The curve opens downward and the vertex is the maximum point on the graph.
83.333%
F(x) - c
10! / 3!(10-3)! = 120

20. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
4725
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
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.

21. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
4096
2
Angle/360 x (pi)r^2
0

22. Can you add sqrt 3 and sqrt 5?
288 (8 9 4)
No - only like radicals can be added.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
75:11

23. A number is divisible by 4 is...
When the function is not defined for all real numbers -; only a subset of the real numbers.
1:sqrt3:2
Move the decimal point to the right x places
Its last two digits are divisible by 4.

24. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
True
A subset.
9 & 6/7

25. How many 3-digit positive integers are even and do not contain the digit 4?
18
75:11
5 OR -5
288 (8 9 4)

26. Is 0 even or odd?
4096
Even
The set of elements which can be found in either A or B.
4.25 - 6 - 22

27. In a regular polygon with n sides - the formula for the sum of interior angles
2
1
(n-2) x 180
90

28. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
(b + c)
11 - 13 - 17 - 19
Yes - like radicals can be added/subtracted.
8

29. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
Yes. [i.e. f(x) = x^2 - 1
180 degrees
Even

30. (-1)^2 =
A reflection about the axis.
1
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
12! / 5!7! = 792

31. 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)]?
A = pi(r^2)
52
True
4096

32. Simplify the expression [(b^2 - c^2) / (b - c)]
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
4a^2(b)
55%
(b + c)

33. Pi is a ratio of what to what?

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34. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
No - only like radicals can be added.
A circle centered at -2 - -2 with radius 3.
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)

35. What is the 'Solution' for a system of linear equations?
4a^2(b)
Two angles whose sum is 90.
.0004809 X 10^11
The point of intersection of the systems.

36. Whats the difference between factors and multiples?
Factors are few - multiples are many.
10! / (10-3)! = 720
Even
An arc is a portion of a circumference of a circle.

37. Which quadrant is the upper left hand?
The steeper the slope.
Area of the base X height = (pi)hr^2
41 - 43 - 47
II

38. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
The two xes after factoring.
The curve opens upward and the vertex is the minimal point on the graph.
Indeterminable.
2sqrt6

39. 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))?
The longest arc between points A and B on a circle'S diameter.
A grouping of the members within a set based on a shared characteristic.
20.5
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

40. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
13
... the square of the ratios of the corresponding sides.
$11 -448

41. Formula of rectangle where l increases by 20% and w decreases by 20%
4725
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
x= (1.2)(.8)lw
87.5%

42. What percent of 40 is 22?
12.5%
55%
A = I (1 + rt)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

43. What is the 'union' of A and B?
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)
F(x + c)
The set of elements which can be found in either A or B.
Sqrt 12

44. What is a central angle?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Its divisible by 2 and by 3.
A circle centered on the origin with radius 8.
A central angle is an angle formed by 2 radii.

45. What is an exterior angle?
48
180 degrees
Its negative reciprocal. (-b/a)
An angle which is supplementary to an interior angle.

46. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
3 - -3
Angle/360 x (pi)r^2
(amount of decrease/original price) x 100%

47. Legs 5 - 12. Hypotenuse?
(p + q)/5
A reflection about the axis.
13
The objects within a set.

48. What are the roots of the quadrinomial x^2 + 2x + 1?
(a - b)^2
Two angles whose sum is 90.
The set of elements which can be found in either A or B.
The two xes after factoring.

49. Evaluate 4/11 + 11/12
3/2 - 5/3
Cd
1 & 37/132
4.25 - 6 - 22

50. 10<all primes<20
2 & 3/7
IV
A circle centered on the origin with radius 8.
11 - 13 - 17 - 19