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 surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1 & 37/132
71 - 73 - 79
The second graph is less steep.
1

2. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
F(x + c)
Members or elements
A circle centered at -2 - -2 with radius 3.

3. a^0 =
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
72
4096
1

4. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
F(x) - c
1
72
12! / 5!7! = 792

5. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
3
1.0843 X 10^11
Two angles whose sum is 90.
An isosceles right triangle.

6. 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.
The set of elements which can be found in either A or B.
The sum of its digits is divisible by 3.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

7. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
IV
G(x) = {x}
Sector area = (n/360) X (pi)r^2

8. 2sqrt4 + sqrt4 =
Its negative reciprocal. (-b/a)
3sqrt4
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
2

9. 10<all primes<20
10! / (10-3)! = 720
Angle/360 x (pi)r^2
11 - 13 - 17 - 19
10

10. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
y = 2x^2 - 3
Sector area = (n/360) X (pi)r^2
(a - b)^2
A set with no members - denoted by a circle with a diagonal through it.

11. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
75:11
6 : 1 : 2
Its divisible by 2 and by 3.
3 - -3

12. When the 'a' in a parabola is positive....
288 (8 9 4)
The curve opens upward and the vertex is the minimal point on the graph.
67 - 71 - 73
2^9 / 2 = 256

13. Is 0 even or odd?
Even
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
No - only like radicals can be added.
The union of A and B.

14. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
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...
C = 2(pi)r
Triangles with same measure and same side lengths.

15. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
IV
(b + c)
A set with a number of elements which can be counted.

16. What is the slope of a vertical line?

17. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
2 & 3/7
IV
A set with a number of elements which can be counted.

18. What are congruent triangles?
The third side is greater than the difference and less than the sum.
Triangles with same measure and same side lengths.
An arc is a portion of a circumference of a circle.
1.0843 X 10^11

19. What is the absolute value function?
1
A circle centered on the origin with radius 8.
G(x) = {x}
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)

20. Which quadrant is the lower left hand?
10! / 3!(10-3)! = 120
Two equal sides and two equal angles.
III
83.333%

21. Volume for a cylinder?
The point of intersection of the systems.
31 - 37
Area of the base X height = (pi)hr^2
1.0843 X 10^11

22. Surface area for a cylinder?
1:1:sqrt2
A circle centered at -2 - -2 with radius 3.
2(pi)r^2 + 2(pi)rh
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

23. Whats the difference between factors and multiples?
Factors are few - multiples are many.
48
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
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)

24. a^2 - b^2 =
87.5%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
0
(a - b)(a + b)

25. Evaluate (4^3)^2
No - the input value has exactly one output.
4096
3 - -3
Angle/360 x (pi)r^2

26. What is the measure of an exterior angle of a regular pentagon?
... the square of the ratios of the corresponding sides.
72
A = pi(r^2)
x^(2(4)) =x^8 = (x^4)^2

27. 6w^2 - w - 15 = 0
16.6666%
2 & 3/7
The steeper the slope.
3/2 - 5/3

28. Find the surface area of a cylinder with radius 3 and height 12.
All numbers multiples of 1.
1
An arc is a portion of a circumference of a circle.
90pi

29. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
The interesection of A and B.
x^(2(4)) =x^8 = (x^4)^2
48
Pi is the ratio of a circle'S circumference to its diameter.

30. (-1)^3 =
23 - 29
1
A 30-60-90 triangle.
x= (1.2)(.8)lw

31. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
.0004809 X 10^11
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)

32. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
...multiply by 100.
1
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

33. What is the percent formula?
441000 = 1 10 10 10 21 * 21
Part = Percent X Whole
II
53 - 59

34. a^2 + 2ab + b^2
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
An isosceles right triangle.
Infinite.
(a + b)^2

35. What is the 'domain' of a function?
The set of input values for a function.
Indeterminable.
53 - 59
2(pi)r^2 + 2(pi)rh

36. What is a chord of a circle?
A 30-60-90 triangle.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A chord is a line segment joining two points on a circle.
90

37. Evaluate 3& 2/7 / 1/3
9 & 6/7
1.0843 X 10^11
13pi / 2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

38. Describe the relationship between the graphs of x^2 and (1/2)x^2
N! / (k!)(n-k)!
1 & 37/132
The second graph is less steep.
12.5%

39. Which is greater? 27^(-4) or 9^(-8)
Two angles whose sum is 90.
13
27^(-4)
87.5%

40. a^2 - 2ab + b^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.
(a - b)^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An expression with just one term (-6x - 2a^2)

41. 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)
A tangent is a line that only touches one point on the circumference of a circle.
4.25 - 6 - 22
The overlapping sections.
y = 2x^2 - 3

42. 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
72
Factors are few - multiples are many.
A tangent is a line that only touches one point on the circumference of a circle.

43. Formula for the area of a circle?
A set with no members - denoted by a circle with a diagonal through it.
Move the decimal point to the right x places
18
A = pi(r^2)

44. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
6
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
N! / (n-k)!
0

45. What is the set of elements which can be found in either A or B?
5 OR -5
The union of A and B.
x^(2(4)) =x^8 = (x^4)^2
11 - 13 - 17 - 19

46. How to find the area of a sector?
27^(-4)
x(x - y + 1)
When the function is not defined for all real numbers -; only a subset of the real numbers.
Angle/360 x (pi)r^2

47. 60 < all primes <70
6 : 1 : 2
61 - 67
3
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

48. 5x^2 - 35x -55 = 0
288 (8 9 4)
x(x - y + 1)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Lies opposite the greater angle

49. What is an arc of a circle?
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.
The second graph is less steep.
(a + b)^2
An arc is a portion of a circumference of a circle.

50. 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)]?
180
A subset.
True
2sqrt6