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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. How to find the diagonal of a rectangular solid?
8
(b + c)
2sqrt6
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

2. 5/6 in percent?
4.25 - 6 - 22
Infinite.
83.333%
441000 = 1 10 10 10 21 * 21

3. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
1/a^6
2^9 / 2 = 256
62.5%

4. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
Undefined
A circle centered at -2 - -2 with radius 3.
... the square of the ratios of the corresponding sides.
An isosceles right triangle.

5. Formula for the area of a sector of a circle?
N! / (k!)(n-k)!
Sector area = (n/360) X (pi)r^2
A = I (1 + rt)
(a + b)^2

6. a^2 + 2ab + b^2
(a + b)^2
Ax^2 + bx + c where a -b and c are constants and a /=0
Cd
90pi

7. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
23 - 29
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The point of intersection of the systems.

8. Legs: 3 - 4. Hypotenuse?
5
From northeast - counterclockwise. I - II - III - IV
130pi
Factors are few - multiples are many.

9. (-1)^2 =
Ax^2 + bx + c where a -b and c are constants and a /=0
From northeast - counterclockwise. I - II - III - IV
1
An infinite set.

10. What is the percent formula?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Sector area = (n/360) X (pi)r^2
1:sqrt3:2
Part = Percent X Whole

11. What is an isoceles triangle?
$11 -448
Two equal sides and two equal angles.
4.25 - 6 - 22
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

12. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
31 - 37
1/a^6
441000 = 1 10 10 10 21 * 21

13. What is an exterior angle?
An angle which is supplementary to an interior angle.
Angle/360 x 2(pi)r
5 OR -5
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

14. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
The shortest arc between points A and B on a circle'S diameter.
F(x) + c
The sum of its digits is divisible by 3.
An isosceles right triangle.

15. Formula to find a circle'S circumference from its diameter?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
C = (pi)d
5

16. What is the slope of a horizontal line?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
72
0
A 30-60-90 triangle.

17. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
288 (8 9 4)
...multiply by 100.
1
441000 = 1 10 10 10 21 * 21

18. a^2 - 2ab + b^2
10
(a - b)^2
62.5%
55%

19. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
9 : 25
N! / (n-k)!
I
Two angles whose sum is 90.

20. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
The interesection of A and B.
When the function is not defined for all real numbers -; only a subset of the real numbers.
41 - 43 - 47

21. Solve the quadratic equation ax^2 + bx + c= 0
7 / 1000
III
288 (8 9 4)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

22. Factor x^2 - xy + x.
441000 = 1 10 10 10 21 * 21
x(x - y + 1)
No - only like radicals can be added.
48

23. Number of degrees in a triangle
...multiply by 100.
$3 -500 in the 9% and $2 -500 in the 7%.
180
The set of input values for a function.

24. When the 'a' in the parabola is negative...
The curve opens downward and the vertex is the maximum point on the graph.
IV
A = pi(r^2)
(a - b)^2

25. 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
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
F(x-c)
x^(4+7) = x^11

26. To multiply a number by 10^x
37.5%
The shortest arc between points A and B on a circle'S diameter.
90pi
Move the decimal point to the right x places

27. 3/8 in percent?
37.5%
y = (x + 5)/2
The objects within a set.
11 - 13 - 17 - 19

28. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
The set of elements found in both A and B.
A circle centered at -2 - -2 with radius 3.
The third side is greater than the difference and less than the sum.

29. 50 < all primes< 60
From northeast - counterclockwise. I - II - III - IV
53 - 59
61 - 67
The set of elements which can be found in either A or B.

30. 6w^2 - w - 15 = 0
The interesection of A and B.
A = pi(r^2)
(b + c)
3/2 - 5/3

31. Formula for the area of a circle?
I
A = pi(r^2)
441000 = 1 10 10 10 21 * 21
90

32. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
F(x) + c
18
Lies opposite the greater angle
0

33. The perimeter of a square is 48 inches. The length of its diagonal is:
A set with no members - denoted by a circle with a diagonal through it.
12sqrt2
9 : 25
31 - 37

34. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
Ax^2 + bx + c where a -b and c are constants and a /=0
A central angle is an angle formed by 2 radii.
53 - 59
3

35. 5x^2 - 35x -55 = 0
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
37.5%
13pi / 2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

36. 60 < all primes <70
5 OR -5
The set of input values for a function.
10! / (10-3)! = 720
61 - 67

37. Evaluate (4^3)^2
2sqrt6
The curve opens upward and the vertex is the minimal point on the graph.
4096
Even

38. What is a major arc?

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39. What is the sum of the angles of a triangle?
180 degrees
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
6

40. 1/6 in percent?
16.6666%
3sqrt4
7 / 1000
130pi

41. What is the side length of an equilateral triangle with altitude 6?
0
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...
Move the decimal point to the right x places
The curve opens upward and the vertex is the minimal point on the graph.

42. (-1)^3 =
4a^2(b)
10
1
Factors are few - multiples are many.

43. Can you subtract 3sqrt4 from sqrt4?
413.03 / 10^4 (move the decimal point 4 places to the left)
Yes - like radicals can be added/subtracted.
The steeper the slope.
13pi / 2

44. Find the surface area of a cylinder with radius 3 and height 12.
$11 -448
90pi
A = pi(r^2)
The overlapping sections.

45. 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?
The steeper the slope.
10! / (10-3)! = 720
4725
27^(-4)

46. Length of an arc of a circle?
3 - -3
Angle/360 x 2(pi)r
Cd
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

47. 0^0
Undefined
x^(6-3) = x^3
A subset.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

48. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
1 & 37/132
II
The sum of digits is divisible by 9.

49. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Members or elements
27^(-4)
3
2^9 / 2 = 256

50. a^2 - b^2
The curve opens downward and the vertex is the maximum point on the graph.
75:11
(a - b)(a + b)
Lies opposite the greater angle