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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. What is the slope of a horizontal line?
A reflection about the origin.
C = (pi)d
5 OR -5
0

2. Circumference of a circle?
4.25 - 6 - 22
Diameter(Pi)
1 & 37/132
A reflection about the axis.

3. What is a piecewise equation?
1
441000 = 1 10 10 10 21 * 21
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
The overlapping sections.

4. How to determine percent increase?
(amount of increase/original price) x 100%
1.7
62.5%
3

5. The objects in a set are called two names:
Members or elements
... the square of the ratios of the corresponding sides.
2.592 kg
27^(-4)

6. To convert a percent to a fraction....
18
1
Divide by 100.
2sqrt6

7. Which quadrant is the lower left hand?
(base*height) / 2
2 & 3/7
Its negative reciprocal. (-b/a)
III

8. How many multiples does a given number have?
Infinite.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
28. n = 8 - k = 2. n! / k!(n-k)!
Two angles whose sum is 90.

9. 30< all primes<40
31 - 37
(n-2) x 180
(a - b)(a + b)
A chord is a line segment joining two points on a circle.

10. What is the order of operations?
Yes. [i.e. f(x) = x^2 - 1
6 : 1 : 2
N! / (k!)(n-k)!
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

11. What is the set of elements found in both A and B?
A central angle is an angle formed by 2 radii.
The interesection of A and B.
A grouping of the members within a set based on a shared characteristic.
67 - 71 - 73

12. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
1:sqrt3:2
Its negative reciprocal. (-b/a)
1
A reflection about the origin.

13. Area of a triangle?
90 degrees
The interesection of A and B.
(base*height) / 2
288 (8 9 4)

14. Reduce: 4.8 : 0.8 : 1.6
Members or elements
Undefined - because we can'T divide by 0.
6 : 1 : 2
A tangent is a line that only touches one point on the circumference of a circle.

15. a^2 + 2ab + b^2
N! / (n-k)!
6 : 1 : 2
1.0843 X 10^11
(a + b)^2

16. a^2 - 2ab + b^2
When the function is not defined for all real numbers -; only a subset of the real numbers.
(a - b)^2
A = pi(r^2)
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...

17. What is the 'Range' of a series of numbers?
The shortest arc between points A and B on a circle'S diameter.
The greatest value minus the smallest.
(a - b)^2
90pi

18. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
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)
3/2 - 5/3
... the square of the ratios of the corresponding sides.

19. 8.84 / 5.2
Triangles with same measure and same side lengths.
1.7
The greatest value minus the smallest.
Even

20. What percent of 40 is 22?
55%
(b + c)
Part = Percent X Whole
72

21. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
A central angle is an angle formed by 2 radii.
(amount of increase/original price) x 100%
72

22. What is the formula for computing simple interest?
Angle/360 x 2(pi)r
A grouping of the members within a set based on a shared characteristic.
A = I (1 + rt)
A set with no members - denoted by a circle with a diagonal through it.

23. What is the slope of a vertical line?

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24. (a^-1)/a^5
No - only like radicals can be added.
90pi
3 - -3
1/a^6

25. What is the ratio of the sides of an isosceles right triangle?
A 30-60-90 triangle.
1:1:sqrt2
41 - 43 - 47
Ax^2 + bx + c where a -b and c are constants and a /=0

26. Which quadrant is the upper left hand?
500
A grouping of the members within a set based on a shared characteristic.
II
The sum of its digits is divisible by 3.

27. Evaluate (4^3)^2
1
4096
Two angles whose sum is 180.
A set with a number of elements which can be counted.

28. 4.809 X 10^7 =
1
90pi
.0004809 X 10^11
The set of elements which can be found in either A or B.

29. 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
The second graph is less steep.
3sqrt4
(base*height) / 2

30. How to find the diagonal of a rectangular solid?
The point of intersection of the systems.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1
Area of the base X height = (pi)hr^2

31. What are complementary angles?
Two angles whose sum is 90.
(a + b)^2
G(x) = {x}
The set of elements which can be found in either A or B.

32. (12sqrt15) / (2sqrt5) =
180 degrees
6
Indeterminable.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

33. What is the intersection of A and B?
1/a^6
441000 = 1 10 10 10 21 * 21
The set of elements found in both A and B.
The objects within a set.

34. Can you simplify sqrt72?
3/2 - 5/3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

35. Which quandrant is the lower right hand?
Area of the base X height = (pi)hr^2
IV
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
3sqrt4

36. To multiply a number by 10^x
1
(a - b)^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Move the decimal point to the right x places

37. What is the 'Solution' for a set of inequalities.
4725
1:sqrt3:2
The overlapping sections.
12sqrt2

38. (-1)^3 =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
6
1
The point of intersection of the systems.

39. When does a function automatically have a restricted domain (2)?
Part = Percent X Whole
Its negative reciprocal. (-b/a)
When the function is not defined for all real numbers -; only a subset of the real numbers.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

40. 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 sum of its digits is divisible by 3.
0
x= (1.2)(.8)lw
10! / (10-3)! = 720

41. When the 'a' in a parabola is positive....
500
16.6666%
The curve opens upward and the vertex is the minimal point on the graph.
2(pi)r^2 + 2(pi)rh

42. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
No - only like radicals can be added.
12sqrt2
Its divisible by 2 and by 3.

43. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
When the function is not defined for all real numbers -; only a subset of the real numbers.
The direction of the inequality is reversed.
The interesection of A and B.

44. Volume for a cylinder?
Area of the base X height = (pi)hr^2
III
Lies opposite the greater angle
.0004809 X 10^11

45. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
441000 = 1 10 10 10 21 * 21
An arc is a portion of a circumference of a circle.
Infinite.

46. Whats the difference between factors and multiples?
Factors are few - multiples are many.
C = 2(pi)r
130pi
The set of elements found in both A and B.

47. Simplify the expression [(b^2 - c^2) / (b - c)]
... the square of the ratios of the corresponding sides.
x^(6-3) = x^3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(b + c)

48. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
28. n = 8 - k = 2. n! / k!(n-k)!
Undefined
23 - 29
$11 -448

49. 70 < all primes< 80
(a + b)^2
A central angle is an angle formed by 2 radii.
III
71 - 73 - 79

50. What are the irrational numbers?

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