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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 slope of a horizontal line?
0
9 : 25
Undefined
1

2. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
II
41 - 43 - 47
$3 -500 in the 9% and $2 -500 in the 7%.

3. What is the intersection of A and B?
The set of elements found in both A and B.
The union of A and B.
Sqrt 12
$3 -500 in the 9% and $2 -500 in the 7%.

4. What are the members or elements of a set?
18
Sqrt 12
The objects within a set.
6

5. a^0 =
1
x(x - y + 1)
A set with a number of elements which can be counted.
1/a^6

6. 40 < all primes<50
2(pi)r^2 + 2(pi)rh
180 degrees
41 - 43 - 47
$3 -500 in the 9% and $2 -500 in the 7%.

7. What is an arc of a circle?
10! / (10-3)! = 720
The two xes after factoring.
An arc is a portion of a circumference of a circle.
10

8. 25^(1/2) or sqrt. 25 =
5 OR -5
A grouping of the members within a set based on a shared characteristic.
1:sqrt3:2
(amount of decrease/original price) x 100%

9. a^2 - b^2 =
90
(a - b)(a + b)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
5 OR -5

10. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
41 - 43 - 47
4:5
48

11. To multiply a number by 10^x
Angle/360 x 2(pi)r
3/2 - 5/3
A reflection about the origin.
Move the decimal point to the right x places

12. Evaluate 3& 2/7 / 1/3
Area of the base X height = (pi)hr^2
Sqrt 12
9 & 6/7
4:5

13. If an inequality is multiplied or divided by a negative number....
Lies opposite the greater angle
The direction of the inequality is reversed.
y = 2x^2 - 3
F(x + c)

14. x^4 + x^7 =
An infinite set.
Two angles whose sum is 180.
x^(4+7) = x^11
y = 2x^2 - 3

15. What is the name of set with a number of elements which cannot be counted?
27^(-4)
An infinite set.
An arc is a portion of a circumference of a circle.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

16. 10<all primes<20
A reflection about the axis.
9 : 25
The overlapping sections.
11 - 13 - 17 - 19

17. 8.84 / 5.2
1.7
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Angle/360 x (pi)r^2
6

18. 4.809 X 10^7 =
II
.0004809 X 10^11
Part = Percent X Whole
Factors are few - multiples are many.

19. Can you subtract 3sqrt4 from sqrt4?
A set with a number of elements which can be counted.
2^9 / 2 = 256
Yes - like radicals can be added/subtracted.
1:sqrt3:2

20. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
The objects within a set.
F(x) + c
1.0843 X 10^11
90

21. What are the smallest three prime numbers greater than 65?
0
67 - 71 - 73
.0004809 X 10^11
16.6666%

22. 50 < all primes< 60
An expression with just one term (-6x - 2a^2)
441000 = 1 10 10 10 21 * 21
53 - 59
The objects within a set.

23. Can you add sqrt 3 and sqrt 5?
12sqrt2
55%
No - only like radicals can be added.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

24. Is 0 even or odd?
Even
IV
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)
13pi / 2

25. Area of a triangle?
A subset.
A reflection about the origin.
(n-2) x 180
(base*height) / 2

26. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
The sum of its digits is divisible by 3.
G(x) = {x}
Area of the base X height = (pi)hr^2
4725

27. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(a - b)(a + b)
13pi / 2

28. (6sqrt3) x (2sqrt5) =
1
Its negative reciprocal. (-b/a)
72
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

29. Convert 0.7% to a fraction.
500
7 / 1000
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Ax^2 + bx + c where a -b and c are constants and a /=0

30. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
y = 2x^2 - 3
x^(2(4)) =x^8 = (x^4)^2
$11 -448
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

31. What are the rational numbers?
A 30-60-90 triangle.
Yes - like radicals can be added/subtracted.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
41 - 43 - 47

32. Length of an arc of a circle?
Angle/360 x 2(pi)r
6 : 1 : 2
4a^2(b)
2sqrt6

33. What is the order of operations?
0
Triangles with same measure and same side lengths.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
6

34. Which quadrant is the upper right hand?
9 & 6/7
13
C = (pi)d
I

35. What is a piecewise equation?
10! / (10-3)! = 720
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Area of the base X height = (pi)hr^2
52

36. Volume for a cylinder?
Area of the base X height = (pi)hr^2
6
11 - 13 - 17 - 19
Yes. [i.e. f(x) = x^2 - 1

37. 70 < all primes< 80
67 - 71 - 73
48
3sqrt4
71 - 73 - 79

38. The objects in a set are called two names:
Members or elements
(a + b)^2
When the function is not defined for all real numbers -; only a subset of the real numbers.
x^(2(4)) =x^8 = (x^4)^2

39. What is the 'Range' of a series of numbers?
130pi
1.7
Sqrt 12
The greatest value minus the smallest.

40. A number is divisible by 9 if...
3sqrt4
The sum of digits is divisible by 9.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
$11 -448

41. 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
1
72
(p + q)/5

42. 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?
12sqrt2
441000 = 1 10 10 10 21 * 21
Its negative reciprocal. (-b/a)
9 : 25

43. What are the irrational numbers?

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44. What is the maximum value for the function g(x) = (-2x^2) -1?
1
87.5%
No - only like radicals can be added.
Diameter(Pi)

45. Define a 'Term' -
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)
4:5
2
52

46. What is the side length of an equilateral triangle with altitude 6?
7 / 1000
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...
Triangles with same measure and same side lengths.
x^(6-3) = x^3

47. 6w^2 - w - 15 = 0
3/2 - 5/3
An arc is a portion of a circumference of a circle.
1:sqrt3:2
75:11

48. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
Arc length = (n/360) x pi(2r) where n is the number of degrees.
G(x) = {x}
A circle centered on the origin with radius 8.

49. Formula to find a circle'S circumference from its radius?
(a + b)^2
C = (pi)d
41 - 43 - 47
C = 2(pi)r

50. 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 sum of its digits is divisible by 3.
48
0
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.