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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. Which is greater? 27^(-4) or 9^(-8)
Sqrt 12
1
2.592 kg
27^(-4)

2. 5/8 in percent?
62.5%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
87.5%
The overlapping sections.

3. Which quadrant is the upper left hand?
52
A circle centered on the origin with radius 8.
II
6

4. Which quadrant is the upper right hand?
A tangent is a line that only touches one point on the circumference of a circle.
True
I
The direction of the inequality is reversed.

5. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
62.5%
An infinite set.
All numbers multiples of 1.

6. 3/8 in percent?
37.5%
72
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.
(a - b)^2

7. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
All numbers multiples of 1.
37.5%
(a - b)(a + b)

8. x^6 / x^3
A grouping of the members within a set based on a shared characteristic.
A tangent is a line that only touches one point on the circumference of a circle.
70
x^(6-3) = x^3

9. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
3
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
$11 -448
Indeterminable.

10. Evaluate (4^3)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
4096
Lies opposite the greater angle
The union of A and B.

11. P and r are factors of 100. What is greater - pr or 100?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Indeterminable.
A 30-60-90 triangle.
41 - 43 - 47

12. 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?
1
An arc is a portion of a circumference of a circle.
48
The second graph is less steep.

13. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
18
11 - 13 - 17 - 19
90pi
1

14. 1/6 in percent?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
16.6666%
72
The sum of digits is divisible by 9.

15. 5x^2 - 35x -55 = 0
C = (pi)d
(amount of increase/original price) x 100%
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Indeterminable.

16. What is a parabola?
4a^2(b)
III
Ax^2 + bx + c where a -b and c are constants and a /=0
1.0843 X 10^11

17. 0^0
A grouping of the members within a set based on a shared characteristic.
Undefined
1
4725

18. The perimeter of a square is 48 inches. The length of its diagonal is:
A = I (1 + rt)
12sqrt2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Members or elements

19. 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?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
$3 -500 in the 9% and $2 -500 in the 7%.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A grouping of the members within a set based on a shared characteristic.

20. To multiply a number by 10^x
Move the decimal point to the right x places
90pi
4096
The point of intersection of the systems.

21. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
288 (8 9 4)

22. Can the output value of a function have more than one input value?
(a + b)^2
Yes. [i.e. f(x) = x^2 - 1
C = 2(pi)r
Move the decimal point to the right x places

23. What are congruent triangles?
18
11 - 13 - 17 - 19
C = 2(pi)r
Triangles with same measure and same side lengths.

24. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
Angle/360 x (pi)r^2
13pi / 2
Arc length = (n/360) x pi(2r) where n is the number of degrees.

25. What is the name of set with a number of elements which cannot be counted?
1
An infinite set.
N! / (n-k)!
F(x + c)

26. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
$3 -500 in the 9% and $2 -500 in the 7%.
1.0843 X 10^11
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

27. In a regular polygon with n sides - the formula for the sum of interior angles
70
Indeterminable.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
(n-2) x 180

28. What is a chord of a circle?
Sqrt 12
A chord is a line segment joining two points on a circle.
16.6666%
The union of A and B.

29. What is the graph of f(x) shifted right c units or spaces?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The two xes after factoring.
x(x - y + 1)
F(x-c)

30. How many multiples does a given number have?
1
Lies opposite the greater angle
Infinite.
90pi

31. 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?
x= (1.2)(.8)lw
y = 2x^2 - 3
x^(4+7) = x^11
The set of input values for a function.

32. 10<all primes<20
87.5%
The set of output values for a function.
288 (8 9 4)
11 - 13 - 17 - 19

33. (6sqrt3) x (2sqrt5) =
Members or elements
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An isosceles right triangle.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

34. What is the intersection of A and B?
The set of elements found in both A and B.
$3 -500 in the 9% and $2 -500 in the 7%.
(p + q)/5
Cd

35. Which is greater? 200x^295 or 10x^294?
1
Relationship cannot be determined (what if x is negative?)
288 (8 9 4)
N! / (k!)(n-k)!

36. What is a minor arc?

37. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
9 : 25
52
1
72

38. Find the surface area of a cylinder with radius 3 and height 12.
90
The set of elements which can be found in either A or B.
130pi
90pi

39. What is a set with no members called?
A chord is a line segment joining two points on a circle.
2^9 / 2 = 256
The empty set - denoted by a circle with a diagonal through it.
... the square of the ratios of the corresponding sides.

40. x^2 = 9. What is the value of x?
Undefined
y = 2x^2 - 3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
3 - -3

41. (-1)^3 =
... the square of the ratios of the corresponding sides.
130pi
Lies opposite the greater angle
1

42. Legs 5 - 12. Hypotenuse?
13
6
3
Diameter(Pi)

43. To convert a decimal to a percent...
10
...multiply by 100.
The objects within a set.
130pi

44. What is the side length of an equilateral triangle with altitude 6?
2.592 kg
N! / (k!)(n-k)!
(n-2) x 180
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...

45. What is a piecewise equation?
The union of A and B.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
71 - 73 - 79
4.25 - 6 - 22

46. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
Ax^2 + bx + c where a -b and c are constants and a /=0
An isosceles right triangle.
Pi is the ratio of a circle'S circumference to its diameter.
500

47. Write 10 -843 X 10^7 in scientific notation
413.03 / 10^4 (move the decimal point 4 places to the left)
441000 = 1 10 10 10 21 * 21
5 OR -5
1.0843 X 10^11

48. What is the absolute value function?
(p + q)/5
G(x) = {x}
1
1

49. Which quandrant is the lower right hand?
90 degrees
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)
61 - 67
IV

50. 25^(1/2) or sqrt. 25 =
Cd
5 OR -5
20.5
x(x - y + 1)