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. (-1)^3 =
1
The sum of digits is divisible by 9.
Pi is the ratio of a circle'S circumference to its diameter.
1:sqrt3:2

2. (a^-1)/a^5
The set of output values for a function.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1/a^6
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

3. Legs 5 - 12. Hypotenuse?
13
Undefined
The set of output values for a function.
Two angles whose sum is 90.

4. To convert a percent to a fraction....
23 - 29
180
3sqrt4
Divide by 100.

5. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
An expression with just one term (-6x - 2a^2)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
53 - 59

6. 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?
441000 = 1 10 10 10 21 * 21
N! / (k!)(n-k)!
83.333%
3sqrt4

7. How to find the area of a sector?
F(x-c)
1
Angle/360 x (pi)r^2
N! / (k!)(n-k)!

8. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
1:1:sqrt2
62.5%
13

9. Number of degrees in a triangle
180
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Sqrt 12
A set with no members - denoted by a circle with a diagonal through it.

10. What is the formula for computing simple interest?
A = I (1 + rt)
From northeast - counterclockwise. I - II - III - IV
II
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

11. How to determine percent decrease?
5 OR -5
1 & 37/132
(amount of decrease/original price) x 100%
A circle centered at -2 - -2 with radius 3.

12. Which quadrant is the upper left hand?
II
Angle/360 x (pi)r^2
83.333%
90 degrees

13. Simplify 9^(1/2) X 4^3 X 2^(-6)?
31 - 37
37.5%
3
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...

14. Whats the difference between factors and multiples?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The curve opens downward and the vertex is the maximum point on the graph.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Factors are few - multiples are many.

15. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
No - the input value has exactly one output.
90
1.7
23 - 29

16. 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)
The direction of the inequality is reversed.
Divide by 100.
y = 2x^2 - 3
4.25 - 6 - 22

17. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Pi is the ratio of a circle'S circumference to its diameter.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The union of A and B.
20.5

18. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
11 - 13 - 17 - 19
C = (pi)d
Yes - like radicals can be added/subtracted.

19. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
N! / (n-k)!
The greatest value minus the smallest.
500

20. 10<all primes<20
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
11 - 13 - 17 - 19
13pi / 2
N! / (n-k)!

21. x^6 / x^3
55%
x^(6-3) = x^3
18
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

22. 50 < all primes< 60
53 - 59
3
48
5

23. The slope of a line perpendicular to (a/b)?
Its negative reciprocal. (-b/a)
... the square of the ratios of the corresponding sides.
12sqrt2
A set with a number of elements which can be counted.

24. What is an arc of a circle?
72
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)
Triangles with same measure and same side lengths.
An arc is a portion of a circumference of a circle.

25. What is the set of elements which can be found in either A or B?
Undefined
1
F(x) - c
The union of A and B.

26. Formula to find a circle'S circumference from its radius?
1:sqrt3:2
Area of the base X height = (pi)hr^2
C = 2(pi)r
(n-2) x 180

27. 6w^2 - w - 15 = 0
Sector area = (n/360) X (pi)r^2
3/2 - 5/3
(n-2) x 180
F(x) - c

28. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
x= (1.2)(.8)lw
x^(2(4)) =x^8 = (x^4)^2
8
G(x) = {x}

29. 8.84 / 5.2
1.7
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Move the decimal point to the right x places
Two angles whose sum is 90.

30. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
F(x + c)
A chord is a line segment joining two points on a circle.
13pi / 2

31. What percent of 40 is 22?
Sector area = (n/360) X (pi)r^2
55%
Pi is the ratio of a circle'S circumference to its diameter.
1:1:sqrt2

32. The perimeter of a square is 48 inches. The length of its diagonal is:
The sum of its digits is divisible by 3.
12sqrt2
13pi / 2
1

33. Define a 'monomial'
No - the input value has exactly one output.
An expression with just one term (-6x - 2a^2)
1
Divide by 100.

34. 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?
6 : 1 : 2
2
180
48

35. Is 0 even or odd?
3sqrt4
IV
72
Even

36. Area of a triangle?
The set of elements which can be found in either A or B.
The sum of its digits is divisible by 3.
(base*height) / 2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

37. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
C = 2(pi)r
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Angle/360 x (pi)r^2

38. 20<all primes<30
90 degrees
23 - 29
5
1 & 37/132

39. What is a minor arc?

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

40. What are the members or elements of a set?
C = (pi)d
1.7
The objects within a set.
IV

41. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
A 30-60-90 triangle.
Infinite.
9 : 25
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

42. Volume for a cylinder?
A central angle is an angle formed by 2 radii.
20.5
Cd
Area of the base X height = (pi)hr^2

43. Convert 0.7% to a fraction.
87.5%
7 / 1000
The sum of its digits is divisible by 3.
53 - 59

44. What is the maximum value for the function g(x) = (-2x^2) -1?
An arc is a portion of a circumference of a circle.
1/2 times 7/3
1
2

45. 5x^2 - 35x -55 = 0
A tangent is a line that only touches one point on the circumference of a circle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The sum of its digits is divisible by 3.
F(x) - c

46. Order of quadrants:
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
From northeast - counterclockwise. I - II - III - IV
61 - 67
The shortest arc between points A and B on a circle'S diameter.

47. What is the 'union' of A and B?
A set with a number of elements which can be counted.
The set of elements which can be found in either A or B.
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)
3/2 - 5/3

48. What is the order of operations?
1:sqrt3:2
2
Undefined
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

49. What is the ratio of the sides of an isosceles right triangle?
12.5%
1:1:sqrt2
Yes - like radicals can be added/subtracted.
The shortest arc between points A and B on a circle'S diameter.

50. a^2 - b^2 =
0
2sqrt6
(a - b)(a + b)
441000 = 1 10 10 10 21 * 21