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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. To convert a decimal to a percent...
...multiply by 100.
When the function is not defined for all real numbers -; only a subset of the real numbers.
The longest arc between points A and B on a circle'S diameter.
1

2. 1/2 divided by 3/7 is the same as
288 (8 9 4)
1/2 times 7/3
Two angles whose sum is 90.
The objects within a set.

3. What is the formula for computing simple interest?
13
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A = I (1 + rt)
20.5

4. What is a central angle?
(a + b)^2
The curve opens downward and the vertex is the maximum point on the graph.
A central angle is an angle formed by 2 radii.
10

5. What is a chord of a circle?
288 (8 9 4)
A chord is a line segment joining two points on a circle.
Angle/360 x (pi)r^2
8

6. Which is greater? 64^5 or 16^8
9 : 25
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
A circle centered at -2 - -2 with radius 3.
70

7. 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
An arc is a portion of a circumference of a circle.
1/2 times 7/3
18
1 & 37/132

8. Simplify the expression (p^2 - q^2)/ -5(q - p)
2 & 3/7
(p + q)/5
Sqrt 12
The point of intersection of the systems.

9. What is a tangent?
1
5
A tangent is a line that only touches one point on the circumference of a circle.
72

10. What is the set of elements found in both A and B?
(a + b)^2
The interesection of A and B.
1/a^6
Diameter(Pi)

11. If the two sides of a triangle are unequal then the longer side...
5
All numbers multiples of 1.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Lies opposite the greater angle

12. Reduce: 4.8 : 0.8 : 1.6
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The set of elements which can be found in either A or B.
6 : 1 : 2
8

13. What is the absolute value function?
2
Yes - like radicals can be added/subtracted.
1
G(x) = {x}

14. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
1
1

15. 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)]?
True
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
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)
13

16. Order of quadrants:
3/2 - 5/3
From northeast - counterclockwise. I - II - III - IV
500
An angle which is supplementary to an interior angle.

17. a^2 - b^2 =
(a - b)(a + b)
48
y = (x + 5)/2
I

18. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
A circle centered at -2 - -2 with radius 3.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
12! / 5!7! = 792
III

19. (-1)^3 =
Angle/360 x (pi)r^2
Even
Its divisible by 2 and by 3.
1

20. What is the 'Restricted domain of a function'?
130pi
When the function is not defined for all real numbers -; only a subset of the real numbers.
x^(6-3) = x^3
The curve opens upward and the vertex is the minimal point on the graph.

21. What is the 'Range' of a series of numbers?
Indeterminable.
A = I (1 + rt)
(b + c)
The greatest value minus the smallest.

22. 0^0
Indeterminable.
16.6666%
(a + b)^2
Undefined

23. Is 0 even or odd?
Even
A subset.
All numbers multiples of 1.
An angle which is supplementary to an interior angle.

24. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The point of intersection of the systems.
$11 -448

25. What is a parabola?
A set with no members - denoted by a circle with a diagonal through it.
1/2 times 7/3
12sqrt2
Ax^2 + bx + c where a -b and c are constants and a /=0

26. 6w^2 - w - 15 = 0
41 - 43 - 47
10
3/2 - 5/3
Lies opposite the greater angle

27. Describe the relationship between 3x^2 and 3(x - 1)^2
Infinite.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Its divisible by 2 and by 3.
83.333%

28. The objects in a set are called two names:
Part = Percent X Whole
Members or elements
72
x^(6-3) = x^3

29. Write 10 -843 X 10^7 in scientific notation
1 & 37/132
1.0843 X 10^11
A circle centered at -2 - -2 with radius 3.
53 - 59

30. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
...multiply by 100.
C = (pi)d

31. What is the 'Range' of a function?
1
Undefined - because we can'T divide by 0.
The set of output values for a function.
12.5%

32. Describe the relationship between the graphs of x^2 and (1/2)x^2
10! / 3!(10-3)! = 120
1.7
The second graph is less steep.
87.5%

33. Pi is a ratio of what to what?

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34. 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?
90 degrees
52
Pi is the ratio of a circle'S circumference to its diameter.
6 : 1 : 2

35. What is a minor arc?

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36. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
500
(base*height) / 2
1/a^6

37. What is the 'domain' of a function?
1
83.333%
F(x + c)
The set of input values for a function.

38. Formula for the area of a sector of a circle?
An infinite set.
.0004809 X 10^11
Infinite.
Sector area = (n/360) X (pi)r^2

39. Can you add sqrt 3 and sqrt 5?
1
No - only like radicals can be added.
A 30-60-90 triangle.
Area of the base X height = (pi)hr^2

40. 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?
2.592 kg
...multiply by 100.
130pi
28. n = 8 - k = 2. n! / k!(n-k)!

41. How to find the area of a sector?
Angle/360 x (pi)r^2
67 - 71 - 73
61 - 67
Two angles whose sum is 180.

42. What is a major arc?

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43. x^(-y)=
1/(x^y)
The point of intersection of the systems.
Its divisible by 2 and by 3.
1

44. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
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)
II
The longest arc between points A and B on a circle'S diameter.
$11 -448

45. What is the name for a grouping of the members within a set based on a shared characteristic?
y = 2x^2 - 3
1
A subset.
Yes - like radicals can be added/subtracted.

46. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
5
The objects within a set.
1
A circle centered on the origin with radius 8.

47. Which quadrant is the lower left hand?
The sum of its digits is divisible by 3.
III
13
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

48. Legs: 3 - 4. Hypotenuse?
5
A set with no members - denoted by a circle with a diagonal through it.
3/2 - 5/3
Divide by 100.

49. Length of an arc of a circle?
Angle/360 x 2(pi)r
1 & 37/132
... the square of the ratios of the corresponding sides.
Move the decimal point to the right x places

50. Convert 0.7% to a fraction.
4096
Area of the base X height = (pi)hr^2
A set with no members - denoted by a circle with a diagonal through it.
7 / 1000