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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. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
180 degrees
53 - 59
27^(-4)

2. What is the absolute value function?
3
G(x) = {x}
Sqrt 12
A circle centered on the origin with radius 8.

3. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
(a - b)^2
Even
8
N! / (n-k)!

4. To convert a decimal to a percent...
5 OR -5
6
...multiply by 100.
1

5. (-1)^2 =
A chord is a line segment joining two points on a circle.
(amount of decrease/original price) x 100%
The curve opens downward and the vertex is the maximum point on the graph.
1

6. (a^-1)/a^5
The sum of its digits is divisible by 3.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1/a^6
x^(2(4)) =x^8 = (x^4)^2

7. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
x(x - y + 1)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
4725
The overlapping sections.

8. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
...multiply by 100.
A reflection about the origin.
Diameter(Pi)
1/2 times 7/3

9. 10<all primes<20
The greatest value minus the smallest.
31 - 37
$11 -448
11 - 13 - 17 - 19

10. What is a major arc?

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11. When does a function automatically have a restricted domain (2)?
The longest arc between points A and B on a circle'S diameter.
75:11
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(a - b)^2

12. 5/6 in percent?
(a - b)^2
10
Part = Percent X Whole
83.333%

13. 413.03 x 10^(-4) =
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Yes - like radicals can be added/subtracted.
413.03 / 10^4 (move the decimal point 4 places to the left)
9 & 6/7

14. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
F(x) + c
Relationship cannot be determined (what if x is negative?)
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 30-60-90 triangle.

15. 4.809 X 10^7 =
Area of the base X height = (pi)hr^2
.0004809 X 10^11
16.6666%
0

16. a^2 - 2ab + b^2
(a - b)^2
3
(b + c)
72

17. Factor a^2 + 2ab + b^2
(a + b)^2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The union of A and B.
Divide by 100.

18. To multiply a number by 10^x
A tangent is a line that only touches one point on the circumference of a circle.
$11 -448
A grouping of the members within a set based on a shared characteristic.
Move the decimal point to the right x places

19. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
The second graph is less steep.
Relationship cannot be determined (what if x is negative?)
1
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

20. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / 3!(10-3)! = 120
2^9 / 2 = 256
67 - 71 - 73
A circle centered on the origin with radius 8.

21. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
1:1:sqrt2
2(pi)r^2 + 2(pi)rh
Area of the base X height = (pi)hr^2

22. What is the graph of f(x) shifted upward c units or spaces?
1/(x^y)
37.5%
F(x) + c
71 - 73 - 79

23. 3/8 in percent?
48
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
37.5%
9 & 6/7

24. What is the intersection of A and B?
12.5%
The set of elements found in both A and B.
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)
N! / (k!)(n-k)!

25. Number of degrees in a triangle
No - the input value has exactly one output.
180
True
The greatest value minus the smallest.

26. Which is greater? 200x^295 or 10x^294?
... the square of the ratios of the corresponding sides.
10! / 3!(10-3)! = 120
Relationship cannot be determined (what if x is negative?)
Diameter(Pi)

27. In a regular polygon with n sides - the formula for the sum of interior angles
The overlapping sections.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
90
(n-2) x 180

28. What is the 'Solution' for a system of linear equations?
28. n = 8 - k = 2. n! / k!(n-k)!
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...
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
The point of intersection of the systems.

29. Can you add sqrt 3 and sqrt 5?
180 degrees
II
No - only like radicals can be added.
(a - b)^2

30. a^2 - b^2
(a - b)(a + b)
4096
A grouping of the members within a set based on a shared characteristic.
C = (pi)d

31. Length of an arc of a circle?
12sqrt2
Angle/360 x 2(pi)r
The union of A and B.
16.6666%

32. (-1)^3 =
13pi / 2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
1
Ax^2 + bx + c where a -b and c are constants and a /=0

33. Which quandrant is the lower right hand?
IV
Area of the base X height = (pi)hr^2
52
The set of elements which can be found in either A or B.

34. The slope of a line perpendicular to (a/b)?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
288 (8 9 4)
Its negative reciprocal. (-b/a)
...multiply by 100.

35. Evaluate (4^3)^2
4096
6 : 1 : 2
Its last two digits are divisible by 4.
Lies opposite the greater angle

36. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
The interesection of A and B.
90
1

37. 20<all primes<30
1 & 37/132
The greatest value minus the smallest.
130pi
23 - 29

38. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
1:1:sqrt2
An isosceles right triangle.
IV
Two equal sides and two equal angles.

39. A number is divisible by 4 is...
When the function is not defined for all real numbers -; only a subset of the real numbers.
Ax^2 + bx + c where a -b and c are constants and a /=0
31 - 37
Its last two digits are divisible by 4.

40. What is the graph of f(x) shifted right c units or spaces?
48
F(x-c)
9 & 6/7
Sqrt 12

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?
The set of output values for a function.
9 : 25
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
75:11

42. a^2 - b^2 =
(a - b)(a + b)
6
The third side is greater than the difference and less than the sum.
.0004809 X 10^11

43. What are the smallest three prime numbers greater than 65?
41 - 43 - 47
67 - 71 - 73
F(x-c)
(amount of decrease/original price) x 100%

44. Whats the difference between factors and multiples?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Factors are few - multiples are many.
12sqrt2
The set of elements found in both A and B.

45. Convert 0.7% to a fraction.
3
Even
The interesection of A and B.
7 / 1000

46. How to find the area of a sector?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
288 (8 9 4)
Angle/360 x (pi)r^2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

47. (12sqrt15) / (2sqrt5) =
2sqrt6
1/2 times 7/3
No - only like radicals can be added.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

48. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
130pi
4.25 - 6 - 22
53 - 59
Cd

49. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
20.5
10! / 3!(10-3)! = 120
(a - b)(a + b)
The set of elements found in both A and B.

50. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
The sum of its digits is divisible by 3.
x^(2(4)) =x^8 = (x^4)^2
A set with a number of elements which can be counted.