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. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
2(pi)r^2 + 2(pi)rh
The overlapping sections.
F(x-c)

2. What is the name of set with a number of elements which cannot be counted?
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)
An infinite set.
The sum of its digits is divisible by 3.
Its last two digits are divisible by 4.

3. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
... the square of the ratios of the corresponding sides.
Triangles with same measure and same side lengths.
13pi / 2
Indeterminable.

4. What are the integers?
The overlapping sections.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The direction of the inequality is reversed.
All numbers multiples of 1.

5. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
The greatest value minus the smallest.
A reflection about the axis.
90 degrees

6. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
(n-2) x 180
13
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

7. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
No - the input value has exactly one output.
Its negative reciprocal. (-b/a)
1

8. What is a set with no members called?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The empty set - denoted by a circle with a diagonal through it.
31 - 37
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

9. Evaluate 4/11 + 11/12
The direction of the inequality is reversed.
4725
1 & 37/132
90

10. What is the surface area of a cylinder with radius 5 and height 8?
Its last two digits are divisible by 4.
.0004809 X 10^11
130pi
1.7

11. To convert a percent to a fraction....
(p + q)/5
A subset.
Divide by 100.
The sum of its digits is divisible by 3.

12. Number of degrees in a triangle
180
The overlapping sections.
1/(x^y)
III

13. 4.809 X 10^7 =
2.592 kg
(a - b)^2
.0004809 X 10^11
5

14. What is the intersection of A and B?
III
The set of elements found in both A and B.
72
x^(6-3) = x^3

15. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
180
(a - b)(a + b)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

16. What is the sum of the angles of a triangle?
The set of elements found in both A and B.
Lies opposite the greater angle
180 degrees
The longest arc between points A and B on a circle'S diameter.

17. a^2 - b^2
441000 = 1 10 10 10 21 * 21
The sum of its digits is divisible by 3.
(a - b)(a + b)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

18. What is the empty set?
(p + q)/5
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A set with no members - denoted by a circle with a diagonal through it.
4096

19. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
1
x^(2(4)) =x^8 = (x^4)^2
An infinite set.
10! / 3!(10-3)! = 120

20. 5/8 in percent?
4.25 - 6 - 22
62.5%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
4a^2(b)

21. 6w^2 - w - 15 = 0
The direction of the inequality is reversed.
Lies opposite the greater angle
3/2 - 5/3
3sqrt4

22. When does a function automatically have a restricted domain (2)?
Two angles whose sum is 180.
9 & 6/7
An arc is a portion of a circumference of a circle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

23. What is the 'domain' of a function?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The set of input values for a function.
The empty set - denoted by a circle with a diagonal through it.
2^9 / 2 = 256

24. What is the name for a grouping of the members within a set based on a shared characteristic?
III
x= (1.2)(.8)lw
A subset.
28. n = 8 - k = 2. n! / k!(n-k)!

25. What is the absolute value function?
A set with no members - denoted by a circle with a diagonal through it.
Divide by 100.
The set of output values for a function.
G(x) = {x}

26. How to find the area of a sector?
y = (x + 5)/2
Even
Angle/360 x (pi)r^2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

27. Factor a^2 + 2ab + b^2
27^(-4)
8
55%
(a + b)^2

28. The objects in a set are called two names:
Members or elements
Move the decimal point to the right x places
A reflection about the origin.
9 & 6/7

29. 413.03 x 10^(-4) =
N! / (k!)(n-k)!
2.592 kg
413.03 / 10^4 (move the decimal point 4 places to the left)
1

30. What is the 'Solution' for a set of inequalities.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The overlapping sections.
The third side is greater than the difference and less than the sum.
(b + c)

31. 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
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1/(x^y)
N! / (n-k)!

32. When the 'a' in a parabola is positive....
3 - -3
The curve opens upward and the vertex is the minimal point on the graph.
Divide by 100.
13pi / 2

33. What is the slope of a vertical line?

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

34. Can the input value of a function have more than one output value (i.e. x: y - y1)?
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
No - the input value has exactly one output.
C = (pi)d
2(pi)r^2 + 2(pi)rh

35. 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 empty set - denoted by a circle with a diagonal through it.
10! / (10-3)! = 720
The curve opens downward and the vertex is the maximum point on the graph.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

36. (-1)^2 =
1
The shortest arc between points A and B on a circle'S diameter.
48
No - the input value has exactly one output.

37. What is a piecewise equation?
2sqrt6
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Members or elements
6

38. Factor x^2 - xy + x.
x(x - y + 1)
The curve opens downward and the vertex is the maximum point on the graph.
1 & 37/132
75:11

39. Legs 6 - 8. Hypotenuse?
When the function is not defined for all real numbers -; only a subset of the real numbers.
10
(amount of decrease/original price) x 100%
3sqrt4

40. What percent of 40 is 22?
53 - 59
3
12sqrt2
55%

41. What are the members or elements of a set?
II
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
23 - 29
The objects within a set.

42. What number between 70 & 75 - inclusive - has the greatest number of factors?
1:1:sqrt2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
All numbers multiples of 1.
72

43. What is the ratio of the sides of a 30-60-90 triangle?
C = (pi)d
1:sqrt3:2
23 - 29
130pi

44. Simplify (a^2 + b)^2 - (a^2 - b)^2
10! / (10-3)! = 720
Divide by 100.
1/a^6
4a^2(b)

45. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
2^9 / 2 = 256
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
0

46. Whats the difference between factors and multiples?
72
Lies opposite the greater angle
Factors are few - multiples are many.
The set of elements found in both A and B.

47. What is the 'Solution' for a system of linear equations?
The set of elements found in both A and B.
10! / 3!(10-3)! = 120
5
The point of intersection of the systems.

48. Volume for a cylinder?
6
Area of the base X height = (pi)hr^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
...multiply by 100.

49. A number is divisible by 6 if...
(a - b)(a + b)
1:sqrt3:2
1
Its divisible by 2 and by 3.

50. What is the 'Range' of a function?
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)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The set of output values for a function.
When the function is not defined for all real numbers -; only a subset of the real numbers.