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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. Reduce: 4.8 : 0.8 : 1.6
The sum of digits is divisible by 9.
6 : 1 : 2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A central angle is an angle formed by 2 radii.

2. What is a finite set?
A set with a number of elements which can be counted.
True
y = 2x^2 - 3
F(x) + c

3. Formula to find a circle'S circumference from its radius?
A reflection about the axis.
A reflection about the origin.
C = 2(pi)r
x^(4+7) = x^11

4. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
1 & 37/132
The steeper the slope.
IV

5. Formula for the area of a circle?
All numbers multiples of 1.
A = pi(r^2)
1/a^6
Triangles with same measure and same side lengths.

6. When the 'a' in the parabola is negative...
... the square of the ratios of the corresponding sides.
An infinite set.
Indeterminable.
The curve opens downward and the vertex is the maximum point on the graph.

7. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
2sqrt6
0
12! / 5!7! = 792
The direction of the inequality is reversed.

8. In a regular polygon with n sides - the formula for the sum of interior angles
Undefined - because we can'T divide by 0.
2
An angle which is supplementary to an interior angle.
(n-2) x 180

9. When does a function automatically have a restricted domain (2)?
Undefined
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A 30-60-90 triangle.
The sum of digits is divisible by 9.

10. 60 < all primes <70
$3 -500 in the 9% and $2 -500 in the 7%.
(b + c)
61 - 67
130pi

11. a^2 - b^2
(a - b)(a + b)
Undefined
IV
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

12. Can you subtract 3sqrt4 from sqrt4?
An arc is a portion of a circumference of a circle.
37.5%
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...
Yes - like radicals can be added/subtracted.

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?
No - the input value has exactly one output.
A set with no members - denoted by a circle with a diagonal through it.
10! / 3!(10-3)! = 120
9 & 6/7

14. What are the roots of the quadrinomial x^2 + 2x + 1?
9 : 25
3sqrt4
4a^2(b)
The two xes after factoring.

15. Pi is a ratio of what to what?

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16. What is the side length of an equilateral triangle with altitude 6?
The set of elements found in both A and B.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
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...
0

17. What are congruent triangles?
Undefined
441000 = 1 10 10 10 21 * 21
Triangles with same measure and same side lengths.
Sqrt 12

18. Can the output value of a function have more than one input value?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Yes. [i.e. f(x) = x^2 - 1
9 : 25
(amount of increase/original price) x 100%

19. A number is divisible by 9 if...
67 - 71 - 73
The sum of digits is divisible by 9.
A grouping of the members within a set based on a shared characteristic.
From northeast - counterclockwise. I - II - III - IV

20. What is a chord of a circle?
y = 2x^2 - 3
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
0
A chord is a line segment joining two points on a circle.

21. x^6 / x^3
71 - 73 - 79
13pi / 2
288 (8 9 4)
x^(6-3) = x^3

22. How to find the diagonal of a rectangular solid?
12! / 5!7! = 792
4:5
Angle/360 x (pi)r^2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

23. To convert a decimal to a percent...
...multiply by 100.
413.03 / 10^4 (move the decimal point 4 places to the left)
1
(a - b)^2

24. What is the 'Solution' for a system of linear equations?
53 - 59
1/(x^y)
A chord is a line segment joining two points on a circle.
The point of intersection of the systems.

25. What is the 'union' of A and B?
0
The set of elements which can be found in either A or B.
Cd
2sqrt6

26. When the 'a' in a parabola is positive....
The curve opens upward and the vertex is the minimal point on the graph.
Move the decimal point to the right x places
(a - b)(a + b)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

27. Can you add sqrt 3 and sqrt 5?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
70
Angle/360 x 2(pi)r
No - only like radicals can be added.

28. Describe the relationship between 3x^2 and 3(x - 1)^2
4725
4.25 - 6 - 22
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
13

29. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
(a + b)^2
13
Cd
The set of elements found in both A and B.

30. Can the input value of a function have more than one output value (i.e. x: y - y1)?
A set with no members - denoted by a circle with a diagonal through it.
1.7
No - the input value has exactly one output.
61 - 67

31. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
90 degrees
Cd
The set of output values for a function.
1.7

32. Number of degrees in a triangle
72
Divide by 100.
5
180

33. To convert a percent to a fraction....
2.592 kg
Divide by 100.
Lies opposite the greater angle
10

34. What are complementary angles?
Two angles whose sum is 90.
3sqrt4
F(x) + c
An isosceles right triangle.

35. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
The direction of the inequality is reversed.
1
90

36. Circumference of a circle?
Diameter(Pi)
Part = Percent X Whole
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
413.03 / 10^4 (move the decimal point 4 places to the left)

37. What is the absolute value function?
G(x) = {x}
1/a^6
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
All numbers multiples of 1.

38. What is the measure of an exterior angle of a regular pentagon?
72
C = 2(pi)r
Angle/360 x 2(pi)r
8

39. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
(p + q)/5
The sum of its digits is divisible by 3.
IV

40. Formula to calculate arc length?
2^9 / 2 = 256
3 - -3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1.0843 X 10^11

41. (-1)^3 =
4a^2(b)
5
Yes. [i.e. f(x) = x^2 - 1
1

42. 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?
Sector area = (n/360) X (pi)r^2
1
N! / (k!)(n-k)!
The union of A and B.

43. Order of quadrants:
75:11
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
From northeast - counterclockwise. I - II - III - IV
2sqrt6

44. Define a 'monomial'
The sum of its digits is divisible by 3.
1/a^6
A circle centered at -2 - -2 with radius 3.
An expression with just one term (-6x - 2a^2)

45. 30< all primes<40
(base*height) / 2
31 - 37
Angle/360 x 2(pi)r
Yes - like radicals can be added/subtracted.

46. What is a set with no members called?
Area of the base X height = (pi)hr^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
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The empty set - denoted by a circle with a diagonal through it.

47. 10^6 has how many zeroes?
12sqrt2
6
y = (x + 5)/2
12.5%

48. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
1/(x^y)
72
0
A grouping of the members within a set based on a shared characteristic.

49. What is the order of operations?
N! / (k!)(n-k)!
500
Factors are few - multiples are many.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

50. What is the sum of the angles of a triangle?
A subset.
F(x-c)
180 degrees
1