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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. 50 < all primes< 60
The longest arc between points A and B on a circle'S diameter.
Yes. [i.e. f(x) = x^2 - 1
53 - 59
62.5%

2. What is the slope of a vertical line?

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3. 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))?
Sqrt 12
10
(a - b)(a + b)
20.5

4. Factor x^2 - xy + x.
... the square of the ratios of the corresponding sides.
Triangles with same measure and same side lengths.
C = (pi)d
x(x - y + 1)

5. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
3 - -3
6
An angle which is supplementary to an interior angle.

6. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
Diameter(Pi)
2.592 kg
The empty set - denoted by a circle with a diagonal through it.
11 - 13 - 17 - 19

7. What is a subset?
1
A grouping of the members within a set based on a shared characteristic.
2(pi)r^2 + 2(pi)rh
288 (8 9 4)

8. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
0
75:11
x^(2(4)) =x^8 = (x^4)^2
Factors are few - multiples are many.

9. What is a central angle?
A central angle is an angle formed by 2 radii.
The shortest arc between points A and B on a circle'S diameter.
(amount of increase/original price) x 100%
The greatest value minus the smallest.

10. Reduce: 4.8 : 0.8 : 1.6
A 30-60-90 triangle.
2sqrt6
9 : 25
6 : 1 : 2

11. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
F(x-c)
A grouping of the members within a set based on a shared characteristic.
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...
28. n = 8 - k = 2. n! / k!(n-k)!

12. x^4 + x^7 =
C = 2(pi)r
x^(4+7) = x^11
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The point of intersection of the systems.

13. Max and Min lengths for a side of a triangle?
Area of the base X height = (pi)hr^2
The third side is greater than the difference and less than the sum.
(base*height) / 2
(amount of decrease/original price) x 100%

14. 5/6 in percent?
83.333%
A = pi(r^2)
(a + b)^2
90 degrees

15. x^6 / x^3
x^(6-3) = x^3
180 degrees
1/(x^y)
Sqrt 12

16. What is the percent formula?
Part = Percent X Whole
Sector area = (n/360) X (pi)r^2
Undefined
55%

17. Which quadrant is the upper left hand?
II
1/(x^y)
An expression with just one term (-6x - 2a^2)
500

18. x^(-y)=
6 : 1 : 2
1/(x^y)
The second graph is less steep.
x= (1.2)(.8)lw

19. 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
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
18
x^(2(4)) =x^8 = (x^4)^2
x(x - y + 1)

20. If an inequality is multiplied or divided by a negative number....
A subset.
1/a^6
The direction of the inequality is reversed.
5 OR -5

21. What are the roots of the quadrinomial x^2 + 2x + 1?
1:sqrt3:2
The direction of the inequality is reversed.
4a^2(b)
The two xes after factoring.

22. 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?
53 - 59
87.5%
$11 -448
N! / (k!)(n-k)!

23. What number between 70 & 75 - inclusive - has the greatest number of factors?
(amount of decrease/original price) x 100%
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Triangles with same measure and same side lengths.
72

24. To convert a percent to a fraction....
441000 = 1 10 10 10 21 * 21
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Divide by 100.
Two angles whose sum is 90.

25. Which is greater? 27^(-4) or 9^(-8)
23 - 29
27^(-4)
Ax^2 + bx + c where a -b and c are constants and a /=0
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

26. The ratio of the areas of two similar polygons is ...
(a + b)^2
... the square of the ratios of the corresponding sides.
Two angles whose sum is 180.
A circle centered on the origin with radius 8.

27. Convert 0.7% to a fraction.
7 / 1000
28. n = 8 - k = 2. n! / k!(n-k)!
x(x - y + 1)
12.5%

28. What are the irrational numbers?

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29. Can the output value of a function have more than one input value?
13
Yes. [i.e. f(x) = x^2 - 1
A tangent is a line that only touches one point on the circumference of a circle.
A reflection about the axis.

30. Define a 'monomial'
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
3 - -3
No - only like radicals can be added.
An expression with just one term (-6x - 2a^2)

31. The objects in a set are called two names:
The third side is greater than the difference and less than the sum.
Members or elements
The interesection of A and B.
The point of intersection of the systems.

32. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
3
...multiply by 100.
A = I (1 + rt)

33. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
(a - b)(a + b)
A set with no members - denoted by a circle with a diagonal through it.
0
87.5%

34. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
All numbers multiples of 1.
1/2 times 7/3
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A circle centered on the origin with radius 8.

35. (x^2)^4
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1
When the function is not defined for all real numbers -; only a subset of the real numbers.
x^(2(4)) =x^8 = (x^4)^2

36. 1/6 in percent?
53 - 59
16.6666%
12sqrt2
Members or elements

37. 6w^2 - w - 15 = 0
A chord is a line segment joining two points on a circle.
3/2 - 5/3
III
1:1:sqrt2

38. The larger the absolute value of the slope...
The steeper the slope.
C = (pi)d
The curve opens upward and the vertex is the minimal point on the graph.
Its negative reciprocal. (-b/a)

39. Factor a^2 + 2ab + b^2
An infinite set.
The set of elements which can be found in either A or B.
A reflection about the origin.
(a + b)^2

40. What is the surface area of a cylinder with radius 5 and height 8?
4.25 - 6 - 22
75:11
The steeper the slope.
130pi

41. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
2(pi)r^2 + 2(pi)rh
C = 2(pi)r
90 degrees

42. How to find the diagonal of a rectangular solid?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A set with a number of elements which can be counted.

43. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
Part = Percent X Whole
48
The objects within a set.

44. Is 0 even or odd?
Its last two digits are divisible by 4.
Its negative reciprocal. (-b/a)
Even
1

45. (-1)^2 =
A 30-60-90 triangle.
Indeterminable.
31 - 37
1

46. Solve the quadratic equation ax^2 + bx + c= 0
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
.0004809 X 10^11

47. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
True
A subset.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

48. 1/2 divided by 3/7 is the same as
No - only like radicals can be added.
83.333%
1/2 times 7/3
A 30-60-90 triangle.

49. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
12.5%
72
y = 2x^2 - 3

50. 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?
N! / (n-k)!
4:5
A chord is a line segment joining two points on a circle.
1