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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 graph of f(x) shifted upward c units or spaces?
I
x^(6-3) = x^3
F(x) + c
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

2. Simplify (a^2 + b)^2 - (a^2 - b)^2
28. n = 8 - k = 2. n! / k!(n-k)!
Angle/360 x (pi)r^2
4a^2(b)
12.5%

3. Define a 'monomial'
$11 -448
2(pi)r^2 + 2(pi)rh
53 - 59
An expression with just one term (-6x - 2a^2)

4. Legs 6 - 8. Hypotenuse?
An arc is a portion of a circumference of a circle.
Sqrt 12
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
10

5. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
3/2 - 5/3
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
2 & 3/7
Even

6. Whats the difference between factors and multiples?
Undefined
Factors are few - multiples are many.
2sqrt6
(a - b)^2

7. What is the 'Restricted domain of a function'?
3
An expression with just one term (-6x - 2a^2)
When the function is not defined for all real numbers -; only a subset of the real numbers.
F(x) + c

8. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
1:1:sqrt2
An infinite set.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

9. Which is greater? 27^(-4) or 9^(-8)
2.592 kg
27^(-4)
3
31 - 37

10. Evaluate (4^3)^2
4096
x^(2(4)) =x^8 = (x^4)^2
23 - 29
1:sqrt3:2

11. The objects in a set are called two names:
Lies opposite the greater angle
Members or elements
Part = Percent X Whole
4a^2(b)

12. What is the maximum value for the function g(x) = (-2x^2) -1?
2.592 kg
31 - 37
Yes. [i.e. f(x) = x^2 - 1
1

13. 3/8 in percent?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1/2 times 7/3
37.5%
Its last two digits are divisible by 4.

14. 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)]?
4096
True
The overlapping sections.
The greatest value minus the smallest.

15. Number of degrees in a triangle
61 - 67
The set of output values for a function.
180
x^(4+7) = x^11

16. Reduce: 4.8 : 0.8 : 1.6
Its divisible by 2 and by 3.
III
6 : 1 : 2
4096

17. (12sqrt15) / (2sqrt5) =
6
The shortest arc between points A and B on a circle'S diameter.
2.592 kg
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

18. sqrt 2(sqrt 6)=
Sqrt 12
1/2 times 7/3
0
Infinite.

19. If the two sides of a triangle are unequal then the longer side...
Two equal sides and two equal angles.
Lies opposite the greater angle
Relationship cannot be determined (what if x is negative?)
Two angles whose sum is 90.

20. (a^-1)/a^5
1/a^6
16.6666%
1
F(x-c)

21. 30< all primes<40
The third side is greater than the difference and less than the sum.
31 - 37
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A subset.

22. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Triangles with same measure and same side lengths.
A reflection about the origin.
The set of elements found in both A and B.
Infinite.

23. 40 < all primes<50
7 / 1000
41 - 43 - 47
6 : 1 : 2
Indeterminable.

24. How many multiples does a given number have?
Infinite.
Undefined - because we can'T divide by 0.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
16.6666%

25. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
441000 = 1 10 10 10 21 * 21
A central angle is an angle formed by 2 radii.
No - the input value has exactly one output.

26. 20<all primes<30
The two xes after factoring.
$3 -500 in the 9% and $2 -500 in the 7%.
4:5
23 - 29

27. A number is divisible by 6 if...
All numbers multiples of 1.
2^9 / 2 = 256
2
Its divisible by 2 and by 3.

28. 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
180
12.5%
18
Undefined

29. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
0
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)
9 & 6/7

30. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
...multiply by 100.
1
13
x^(6-3) = x^3

31. What are congruent triangles?
When the function is not defined for all real numbers -; only a subset of the real numbers.
Triangles with same measure and same side lengths.
180 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)

32. 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?
83.333%
The sum of its digits is divisible by 3.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
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

33. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
3sqrt4
62.5%
130pi

34. 70 < all primes< 80
Ax^2 + bx + c where a -b and c are constants and a /=0
71 - 73 - 79
90 degrees
Lies opposite the greater angle

35. What is a piecewise equation?
N! / (k!)(n-k)!
G(x) = {x}
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

36. Evaluate 4/11 + 11/12
Triangles with same measure and same side lengths.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1 & 37/132
1

37. What is a set with no members called?
(amount of decrease/original price) x 100%
41 - 43 - 47
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The empty set - denoted by a circle with a diagonal through it.

38. What is the 'domain' of a function?
27^(-4)
The set of input values for a function.
The set of elements which can be found in either A or B.
2 & 3/7

39. 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
Its last two digits are divisible by 4.
12! / 5!7! = 792
Two angles whose sum is 90.

40. What is the empty set?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A set with no members - denoted by a circle with a diagonal through it.
130pi
Yes. [i.e. f(x) = x^2 - 1

41. Is 0 even or odd?
Even
Two angles whose sum is 90.
53 - 59
The set of output values for a function.

42. What is the surface area of a cylinder with radius 5 and height 8?
130pi
1
F(x-c)
Pi is the ratio of a circle'S circumference to its diameter.

43. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
Its divisible by 2 and by 3.
x^(2(4)) =x^8 = (x^4)^2
1

44. What is the slope of a vertical line?

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45. Which quadrant is the lower left hand?
The two xes after factoring.
III
Angle/360 x (pi)r^2
3

46. 50 < all primes< 60
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The interesection of A and B.
53 - 59
13pi / 2

47. What is the intersection of A and B?
441000 = 1 10 10 10 21 * 21
1 & 37/132
0
The set of elements found in both A and B.

48. What is the 'union' of A and B?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The set of elements which can be found in either A or B.
12sqrt2
1/(x^y)

49. a^0 =
Cd
3
1
Undefined

50. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
16.6666%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The sum of digits is divisible by 9.
0