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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. Number of degrees in a triangle
The point of intersection of the systems.
9 : 25
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
180

2. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
12.5%
6
When the function is not defined for all real numbers -; only a subset of the real numbers.

3. Evaluate 3& 2/7 / 1/3
9 & 6/7
8
Divide by 100.
(n-2) x 180

4. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
C = 2(pi)r
71 - 73 - 79
Cd

5. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
4096
Pi is the ratio of a circle'S circumference to its diameter.
1
8

6. (-1)^3 =
The empty set - denoted by a circle with a diagonal through it.
The point of intersection of the systems.
1
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

7. What is the intersection of A and B?
6
The set of elements found in both A and B.
The set of input values for a function.
An expression with just one term (-6x - 2a^2)

8. How many sides does a hexagon have?
A central angle is an angle formed by 2 radii.
6
(p + q)/5
Two equal sides and two equal angles.

9. What is the graph of f(x) shifted right c units or spaces?
A subset.
F(x-c)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The union of A and B.

10. Length of an arc of a circle?
Angle/360 x 2(pi)r
F(x) + c
1
A subset.

11. x^(-y)=
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1/(x^y)
Triangles with same measure and same side lengths.
1

12. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
1
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
41 - 43 - 47
0

13. When the 'a' in the parabola is negative...
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
(amount of decrease/original price) x 100%
The curve opens downward and the vertex is the maximum point on the graph.
A = pi(r^2)

14. 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?
37.5%
10! / 3!(10-3)! = 120
5
(n-2) x 180

15. 2sqrt4 + sqrt4 =
1
3sqrt4
28. n = 8 - k = 2. n! / k!(n-k)!
5

16. What is the set of elements which can be found in either A or B?
18
10
The union of A and B.
41 - 43 - 47

17. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
1
53 - 59
1

18. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
130pi
48

19. Formula of rectangle where l increases by 20% and w decreases by 20%
52
x= (1.2)(.8)lw
90 degrees
12.5%

20. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
An infinite set.
55%
Angle/360 x (pi)r^2

21. What percent of 40 is 22?
55%
2.592 kg
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Yes - like radicals can be added/subtracted.

22. 10^6 has how many zeroes?
12sqrt2
1.7
72
6

23. What is a parabola?
Indeterminable.
1
Ax^2 + bx + c where a -b and c are constants and a /=0
Angle/360 x (pi)r^2

24. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
Indeterminable.
53 - 59
x(x - y + 1)

25. Factor a^2 + 2ab + b^2
Yes - like radicals can be added/subtracted.
(a + b)^2
1
The interesection of A and B.

26. P and r are factors of 100. What is greater - pr or 100?
N! / (n-k)!
C = (pi)d
A = pi(r^2)
Indeterminable.

27. What is the 'domain' of a function?
The set of input values for a function.
52
1 & 37/132
90pi

28. 5/8 in percent?
53 - 59
...multiply by 100.
2
62.5%

29. The objects in a set are called two names:
Area of the base X height = (pi)hr^2
The set of elements found in both A and B.
Members or elements
Part = Percent X Whole

30. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Part = Percent X Whole
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The set of elements which can be found in either A or B.
Ax^2 + bx + c where a -b and c are constants and a /=0

31. Legs 6 - 8. Hypotenuse?
10
Indeterminable.
From northeast - counterclockwise. I - II - III - IV
The overlapping sections.

32. 5/6 in percent?
Triangles with same measure and same side lengths.
Factors are few - multiples are many.
The set of output values for a function.
83.333%

33. Describe the relationship between 3x^2 and 3(x - 1)^2
1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Undefined - because we can'T divide by 0.
Its negative reciprocal. (-b/a)

34. 413.03 x 10^(-4) =
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.
413.03 / 10^4 (move the decimal point 4 places to the left)
2 & 3/7
1

35. What are complementary angles?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
72
A = pi(r^2)
Two angles whose sum is 90.

36. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Undefined - because we can'T divide by 0.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Angle/360 x 2(pi)r

37. 8.84 / 5.2
1.7
37.5%
71 - 73 - 79
y = (x + 5)/2

38. If the two sides of a triangle are unequal then the longer side...
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A subset.
11 - 13 - 17 - 19
Lies opposite the greater angle

39. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Yes. [i.e. f(x) = x^2 - 1
The union of A and B.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A reflection about the axis.

40. What are the irrational numbers?

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41. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
IV
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Two equal sides and two equal angles.

42. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
(a - b)^2
Yes. [i.e. f(x) = x^2 - 1
4a^2(b)

43. What are the smallest three prime numbers greater than 65?
Its last two digits are divisible by 4.
53 - 59
71 - 73 - 79
67 - 71 - 73

44. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
90pi
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
28. n = 8 - k = 2. n! / k!(n-k)!
12.5%

45. Which quandrant is the lower right hand?
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)
The sum of its digits is divisible by 3.
x= (1.2)(.8)lw
IV

46. Formula to find a circle'S circumference from its radius?
9 : 25
75:11
C = 2(pi)r
Divide by 100.

47. Which is greater? 27^(-4) or 9^(-8)
Triangles with same measure and same side lengths.
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)
52
27^(-4)

48. 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?
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
18
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A circle centered at -2 - -2 with radius 3.

49. Which quadrant is the upper right hand?
Its divisible by 2 and by 3.
I
.0004809 X 10^11
An isosceles right triangle.

50. 20<all primes<30
23 - 29
Triangles with same measure and same side lengths.
10! / (10-3)! = 720
90pi