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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 graph of f(x) shifted right c units or spaces?
10! / 3!(10-3)! = 120
F(x-c)
5
180 degrees

2. Legs 6 - 8. Hypotenuse?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The overlapping sections.
10
180

3. What is the 'Solution' for a system of linear equations?
y = (x + 5)/2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The point of intersection of the systems.
71 - 73 - 79

4. 50 < all primes< 60
53 - 59
2(pi)r^2 + 2(pi)rh
1.7
The point of intersection of the systems.

5. 4.809 X 10^7 =
.0004809 X 10^11
The point of intersection of the systems.
Pi is the ratio of a circle'S circumference to its diameter.
A = I (1 + rt)

6. Factor x^2 - xy + x.
A = I (1 + rt)
67 - 71 - 73
A reflection about the origin.
x(x - y + 1)

7. Define an 'expression'.
16.6666%
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)
(a + b)^2
An isosceles right triangle.

8. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
Divide by 100.
C = 2(pi)r
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Its negative reciprocal. (-b/a)

9. 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
87.5%
The steeper the slope.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

10. Pi is a ratio of what to what?

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11. What are the members or elements of a set?
The objects within a set.
Sector area = (n/360) X (pi)r^2
A tangent is a line that only touches one point on the circumference of a circle.
Infinite.

12. Is 0 even or odd?
Undefined - because we can'T divide by 0.
Even
18
2 & 3/7

13. Volume for a cylinder?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(n-2) x 180
Area of the base X height = (pi)hr^2
An isosceles right triangle.

14. What number between 70 & 75 - inclusive - has the greatest number of factors?
7 / 1000
72
18
8

15. 10<all primes<20
413.03 / 10^4 (move the decimal point 4 places to the left)
11 - 13 - 17 - 19
4a^2(b)
5 OR -5

16. A number is divisible by 6 if...
Its divisible by 2 and by 3.
A central angle is an angle formed by 2 radii.
.0004809 X 10^11
All numbers multiples of 1.

17. 5/8 in percent?
A = pi(r^2)
62.5%
413.03 / 10^4 (move the decimal point 4 places to the left)
A grouping of the members within a set based on a shared characteristic.

18. Which quandrant is the lower right hand?
IV
10! / (10-3)! = 720
The set of input values for a function.
Its divisible by 2 and by 3.

19. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
II
An expression with just one term (-6x - 2a^2)
2^9 / 2 = 256
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

20. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The second graph is less steep.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1

21. To multiply a number by 10^x
Two angles whose sum is 180.
180
90pi
Move the decimal point to the right x places

22. What is the 'Solution' for a set of inequalities.
2
5 OR -5
An angle which is supplementary to an interior angle.
The overlapping sections.

23. a^2 - b^2 =
(a - b)(a + b)
Lies opposite the greater angle
288 (8 9 4)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

24. (12sqrt15) / (2sqrt5) =
The longest arc between points A and B on a circle'S diameter.
The sum of digits is divisible by 9.
A chord is a line segment joining two points on a circle.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

25. When the 'a' in the parabola is negative...
The curve opens downward and the vertex is the maximum point on the graph.
2sqrt6
Area of the base X height = (pi)hr^2
Triangles with same measure and same side lengths.

26. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
28. n = 8 - k = 2. n! / k!(n-k)!
13pi / 2
An arc is a portion of a circumference of a circle.
Triangles with same measure and same side lengths.

27. What percent of 40 is 22?
90
$3 -500 in the 9% and $2 -500 in the 7%.
I
55%

28. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3sqrt4
55%
A central angle is an angle formed by 2 radii.
3

29. Can the output value of a function have more than one input value?
20.5
Yes. [i.e. f(x) = x^2 - 1
A = pi(r^2)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

30. 413.03 x 10^(-4) =
An expression with just one term (-6x - 2a^2)
18
3
413.03 / 10^4 (move the decimal point 4 places to the left)

31. What does the graph x^2 + y^2 = 64 look like?
9 & 6/7
A circle centered on the origin with radius 8.
The overlapping sections.
The union of A and B.

32. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
A circle centered at -2 - -2 with radius 3.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

33. 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?
87.5%
10! / (10-3)! = 720
Pi is the ratio of a circle'S circumference to its diameter.
Yes. [i.e. f(x) = x^2 - 1

34. 70 < all primes< 80
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)
The sum of its digits is divisible by 3.
71 - 73 - 79
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

35. If the two sides of a triangle are unequal then the longer side...
12.5%
The set of elements which can be found in either A or B.
Lies opposite the greater angle
A= I (1 + (r/c))^tC - where I is the investment - C is the number of times compounded annually - and t is the number of years.

36. What are congruent triangles?
1 & 37/132
Triangles with same measure and same side lengths.
Part = Percent X Whole
67 - 71 - 73

37. Evaluate 4/11 + 11/12
Triangles with same measure and same side lengths.
4:5
Move the decimal point to the right x places
1 & 37/132

38. Factor a^2 + 2ab + b^2
(a + b)^2
F(x + c)
83.333%
4725

39. Which quadrant is the upper left hand?
II
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a - b)(a + b)

40. What is the graph of f(x) shifted left c units or spaces?
Angle/360 x 2(pi)r
F(x + c)
The set of input values for a function.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

41. Can the input value of a function have more than one output value (i.e. x: y - y1)?
A 30-60-90 triangle.
I
70
No - the input value has exactly one output.

42. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
The greatest value minus the smallest.
1/2 times 7/3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Cd

43. Reduce: 4.8 : 0.8 : 1.6
C = 2(pi)r
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)
6 : 1 : 2
9 : 25

44. What is the 'domain' of a function?
Two angles whose sum is 90.
The set of input values for a function.
Ax^2 + bx + c where a -b and c are constants and a /=0
A reflection about the axis.

45. What is the slope of a vertical line?

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46. How many 3-digit positive integers are even and do not contain the digit 4?
A subset.
$3 -500 in the 9% and $2 -500 in the 7%.
The third side is greater than the difference and less than the sum.
288 (8 9 4)

47. What is the surface area of a cylinder with radius 5 and height 8?
Cd
10! / (10-3)! = 720
130pi
10

48. 3/8 in percent?
Part = Percent X Whole
71 - 73 - 79
37.5%
9 & 6/7

49. 60 < all primes <70
(base*height) / 2
x= (1.2)(.8)lw
0
61 - 67

50. What is the 'Restricted domain of a function'?
The union of A and B.
A set with a number of elements which can be counted.
When the function is not defined for all real numbers -; only a subset of the real numbers.
70