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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. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
71 - 73 - 79
55%
Yes - like radicals can be added/subtracted.

2. Simplify 9^(1/2) X 4^3 X 2^(-6)?
A = pi(r^2)
3sqrt4
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
3

3. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Move the decimal point to the right x places
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
4:5
The longest arc between points A and B on a circle'S diameter.

4. What is a piecewise equation?
3
... the square of the ratios of the corresponding sides.
5
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

5. How many multiples does a given number have?
Triangles with same measure and same side lengths.
The point of intersection of the systems.
The longest arc between points A and B on a circle'S diameter.
Infinite.

6. What is the absolute value function?
True
G(x) = {x}
13pi / 2
1/(x^y)

7. What is an isoceles triangle?
(a - b)(a + b)
A central angle is an angle formed by 2 radii.
Two equal sides and two equal angles.
All numbers multiples of 1.

8. 7/8 in percent?
Divide by 100.
87.5%
When the function is not defined for all real numbers -; only a subset of the real numbers.
(p + q)/5

9. What is the ratio of the sides of a 30-60-90 triangle?
The two xes after factoring.
2 & 3/7
1:sqrt3:2
A circle centered on the origin with radius 8.

10. Reduce: 4.8 : 0.8 : 1.6
70
3/2 - 5/3
6 : 1 : 2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

11. What is the maximum value for the function g(x) = (-2x^2) -1?
The curve opens downward and the vertex is the maximum point on the graph.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
4.25 - 6 - 22
1

12. What is the percent formula?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
90 degrees
Part = Percent X Whole
.0004809 X 10^11

13. What is the measure of an exterior angle of a regular pentagon?
72
II
(amount of increase/original price) x 100%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

14. (x^2)^4
Undefined
Sector area = (n/360) X (pi)r^2
x^(2(4)) =x^8 = (x^4)^2
(amount of increase/original price) x 100%

15. The slope of a line perpendicular to (a/b)?
3/2 - 5/3
Its negative reciprocal. (-b/a)
A reflection about the axis.
(a + b)^2

16. a^2 - b^2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
(a - b)(a + b)
x(x - y + 1)
Pi is the ratio of a circle'S circumference to its diameter.

17. 10<all primes<20
11 - 13 - 17 - 19
A = pi(r^2)
18
0

18. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
55%
(a - b)^2
A 30-60-90 triangle.
2(pi)r^2 + 2(pi)rh

19. 1/6 in percent?
16.6666%
(n-2) x 180
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
2

20. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
x^(4+7) = x^11
(p + q)/5
A circle centered on the origin with radius 8.
$3 -500 in the 9% and $2 -500 in the 7%.

21. Find the surface area of a cylinder with radius 3 and height 12.
A reflection about the axis.
1.0843 X 10^11
90pi
The direction of the inequality is reversed.

22. Which quadrant is the lower left hand?
1
III
90pi
12.5%

23. How to find the circumference of a circle which circumscribes a square?
0
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
N! / (k!)(n-k)!

24. Formula to find a circle'S circumference from its diameter?
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)
All numbers multiples of 1.
C = (pi)d
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

25. P and r are factors of 100. What is greater - pr or 100?
Angle/360 x (pi)r^2
Indeterminable.
10! / (10-3)! = 720
Sector area = (n/360) X (pi)r^2

26. 2sqrt4 + sqrt4 =
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)
3sqrt4
3 - -3
N! / (n-k)!

27. What is the area of a regular hexagon with side 6?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
C = 2(pi)r
2sqrt6

28. How many sides does a hexagon have?
1
No - only like radicals can be added.
2(pi)r^2 + 2(pi)rh
6

29. Factor a^2 + 2ab + b^2
... the square of the ratios of the corresponding sides.
(a + b)^2
(b + c)
2^9 / 2 = 256

30. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
12! / 5!7! = 792
4:5
An infinite set.
A reflection about the axis.

31. x^4 + x^7 =
130pi
52
0
x^(4+7) = x^11

32. Formula for the area of a sector of a circle?
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
Sector area = (n/360) X (pi)r^2
(a - b)(a + b)
Undefined

33. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Diameter(Pi)
8
2^9 / 2 = 256
Angle/360 x 2(pi)r

34. Length of an arc of a circle?
20.5
Angle/360 x 2(pi)r
5 OR -5
The point of intersection of the systems.

35. What is an arc of a circle?
Undefined
Indeterminable.
An arc is a portion of a circumference of a circle.
180

36. 6w^2 - w - 15 = 0
1.7
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
3/2 - 5/3
...multiply by 100.

37. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
28. n = 8 - k = 2. n! / k!(n-k)!
When the function is not defined for all real numbers -; only a subset of the real numbers.
x(x - y + 1)
4725

38. Can you subtract 3sqrt4 from sqrt4?
The set of output values for a function.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Yes - like radicals can be added/subtracted.
3 - -3

39. Simplify (a^2 + b)^2 - (a^2 - b)^2
5 OR -5
No - only like radicals can be added.
4a^2(b)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

40. What is a minor arc?

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41. x^(-y)=
1/(x^y)
Members or elements
13
4.25 - 6 - 22

42. The objects in a set are called two names:
48
4:5
Members or elements
x= (1.2)(.8)lw

43. What are the rational numbers?
x^(6-3) = x^3
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
90pi
62.5%

44. How to determine percent increase?
(amount of increase/original price) x 100%
10! / (10-3)! = 720
(a + b)^2
1 & 37/132

45. What are the irrational numbers?

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46. 50 < all primes< 60
11 - 13 - 17 - 19
53 - 59
1
An infinite set.

47. What is the graph of f(x) shifted upward c units or spaces?
53 - 59
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The longest arc between points A and B on a circle'S diameter.
F(x) + c

48. 25^(1/2) or sqrt. 25 =
5 OR -5
413.03 / 10^4 (move the decimal point 4 places to the left)
4725
Area of the base X height = (pi)hr^2

49. (-1)^3 =
1
Members or elements
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.
.0004809 X 10^11

50. 40 < all primes<50
2(pi)r^2 + 2(pi)rh
Its negative reciprocal. (-b/a)
413.03 / 10^4 (move the decimal point 4 places to the left)
41 - 43 - 47