Test your basic knowledge |

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 set of elements which can be found in either A or B?
1
The third side is greater than the difference and less than the sum.
The union of A and B.
4725

2. 0^0
Undefined
288 (8 9 4)
The set of elements which can be found in either A or B.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

3. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
5 OR -5
Infinite.
Its negative reciprocal. (-b/a)
70

4. 1/8 in percent?
12.5%
180
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...
Cd

5. What is a set with no members called?
A = I (1 + rt)
A grouping of the members within a set based on a shared characteristic.
62.5%
The empty set - denoted by a circle with a diagonal through it.

6. Factor a^2 + 2ab + b^2
8
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A tangent is a line that only touches one point on the circumference of a circle.
(a + b)^2

7. Can the input value of a function have more than one output value (i.e. x: y - y1)?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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)
No - the input value has exactly one output.
Divide by 100.

8. 8.84 / 5.2
1.7
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The curve opens downward and the vertex is the maximum point on the graph.

9. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
288 (8 9 4)
A reflection about the axis.
48
Move the decimal point to the right x places

10. To convert a percent to a fraction....
0
The steeper the slope.
(base*height) / 2
Divide by 100.

11. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(amount of increase/original price) x 100%
All numbers multiples of 1.
Its negative reciprocal. (-b/a)

12. Whats the difference between factors and multiples?
Factors are few - multiples are many.
61 - 67
From northeast - counterclockwise. I - II - III - IV
500

13. 10^6 has how many zeroes?
6
Members or elements
3sqrt4
23 - 29

14. What does the graph x^2 + y^2 = 64 look like?
27^(-4)
A = pi(r^2)
A circle centered on the origin with radius 8.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

15. 1/2 divided by 3/7 is the same as
Diameter(Pi)
1/2 times 7/3
F(x) - c
0

16. 10<all primes<20
The two xes after factoring.
11 - 13 - 17 - 19
The set of output values for a function.
130pi

17. Define a 'monomial'
The steeper the slope.
An expression with just one term (-6x - 2a^2)
N! / (k!)(n-k)!
413.03 / 10^4 (move the decimal point 4 places to the left)

18. Which is greater? 64^5 or 16^8
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Its negative reciprocal. (-b/a)
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)

19. Legs 6 - 8. Hypotenuse?
(p + q)/5
18
3sqrt4
10

20. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
28. n = 8 - k = 2. n! / k!(n-k)!
2^9 / 2 = 256
1
18

21. x^4 + x^7 =
Triangles with same measure and same side lengths.
The steeper the slope.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x^(4+7) = x^11

22. 7/8 in percent?
Relationship cannot be determined (what if x is negative?)
20.5
The set of elements which can be found in either A or B.
87.5%

23. Area of a triangle?
(base*height) / 2
5
180 degrees
... the square of the ratios of the corresponding sides.

24. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
441000 = 1 10 10 10 21 * 21
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
(p + q)/5

25. If the two sides of a triangle are unequal then the longer side...
Infinite.
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...
Lies opposite the greater angle
True

26. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
12.5%
F(x) - c
4.25 - 6 - 22
500

27. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
N! / (k!)(n-k)!
F(x-c)
500
2

28. What is an exterior angle?
1
An angle which is supplementary to an interior angle.
288 (8 9 4)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

29. The ratio of the areas of two similar polygons is ...
441000 = 1 10 10 10 21 * 21
1:1:sqrt2
... the square of the ratios of the corresponding sides.
1/a^6

30. Which quandrant is the lower right hand?
IV
A tangent is a line that only touches one point on the circumference of a circle.
... the square of the ratios of the corresponding sides.
180

31. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
72
F(x + c)

32. What is the 'Restricted domain of a function'?
(amount of decrease/original price) x 100%
A tangent is a line that only touches one point on the circumference of a circle.
37.5%
When the function is not defined for all real numbers -; only a subset of the real numbers.

33. Legs 5 - 12. Hypotenuse?
13
The objects within a set.
No - the input value has exactly one output.
3

34. A number is divisible by 9 if...
3sqrt4
The sum of digits is divisible by 9.
(a + b)^2
(base*height) / 2

35. 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?
52
A reflection about the origin.
The overlapping sections.
Two angles whose sum is 90.

36. When does a function automatically have a restricted domain (2)?
Move the decimal point to the right x places
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
2sqrt6
y = 2x^2 - 3

37. What are the irrational numbers?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

38. (a^-1)/a^5
Even
3
12! / 5!7! = 792
1/a^6

39. Define an 'expression'.
The direction of the inequality is reversed.
48
Triangles with same measure and same side lengths.
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)

40. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
12.5%
2^9 / 2 = 256
The overlapping sections.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

41. What is a major arc?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

42. Volume for a cylinder?
The greatest value minus the smallest.
Infinite.
9 & 6/7
Area of the base X height = (pi)hr^2

43. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
1
Part = Percent X Whole
1:sqrt3:2

44. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
1/a^6
Indeterminable.
y = 2x^2 - 3

45. 2sqrt4 + sqrt4 =
3sqrt4
A set with no members - denoted by a circle with a diagonal through it.
N! / (n-k)!
1:sqrt3:2

46. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
72
90 degrees
2(pi)r^2 + 2(pi)rh
No - the input value has exactly one output.

47. P and r are factors of 100. What is greater - pr or 100?
3/2 - 5/3
Indeterminable.
A tangent is a line that only touches one point on the circumference of a circle.
180

48. Factor x^2 - xy + x.
x(x - y + 1)
13pi / 2
16.6666%
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

49. Formula to find a circle'S circumference from its diameter?
C = (pi)d
Yes. [i.e. f(x) = x^2 - 1
A circle centered on the origin with radius 8.
3

50. What are 'Supplementary angles?'
Two angles whose sum is 180.
Its negative reciprocal. (-b/a)
y = (x + 5)/2
1/2 times 7/3