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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. Evaluate 4/11 + 11/12
1 & 37/132
1
F(x-c)
441000 = 1 10 10 10 21 * 21

2. Write 10 -843 X 10^7 in scientific notation
II
Angle/360 x 2(pi)r
70
1.0843 X 10^11

3. Legs 5 - 12. Hypotenuse?
Diameter(Pi)
13
y = (x + 5)/2
The sum of digits is divisible by 9.

4. The larger the absolute value of the slope...
Yes - like radicals can be added/subtracted.
2.592 kg
20.5
The steeper the slope.

5. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
Relationship cannot be determined (what if x is negative?)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
55%

6. Factor x^2 - xy + x.
x(x - y + 1)
1
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

7. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
7 / 1000
x^(4+7) = x^11

8. 1/6 in percent?
x^(2(4)) =x^8 = (x^4)^2
16.6666%
Its last two digits are divisible by 4.
1 & 37/132

9. What is a minor arc?

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10. To convert a decimal to a percent...
x^(6-3) = x^3
x^(4+7) = x^11
0
...multiply by 100.

11. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
(a - b)(a + b)
Members or elements
13pi / 2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

12. 7/8 in percent?
2.592 kg
87.5%
70
3sqrt4

13. 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
An isosceles right triangle.
An infinite set.
18
1/2 times 7/3

14. What is a chord of a circle?
9 & 6/7
A chord is a line segment joining two points on a circle.
1/(x^y)
The sum of digits is divisible by 9.

15. What is the 'domain' of a function?
The set of input values for a function.
Undefined
The two xes after factoring.
180 degrees

16. What is the graph of f(x) shifted upward c units or spaces?
The two xes after factoring.
6
y = 2x^2 - 3
F(x) + c

17. 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?
Diameter(Pi)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
$3 -500 in the 9% and $2 -500 in the 7%.
9 : 25

18. 10^6 has how many zeroes?
6
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
x^(6-3) = x^3
31 - 37

19. What is the area of a regular hexagon with side 6?
67 - 71 - 73
180
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
$11 -448

20. Describe the relationship between the graphs of x^2 and (1/2)x^2
Undefined - because we can'T divide by 0.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
An isosceles right triangle.
The second graph is less steep.

21. (a^-1)/a^5
1/a^6
(a - b)(a + b)
11 - 13 - 17 - 19
0

22. What are complementary angles?
The curve opens downward and the vertex is the maximum point on the graph.
Two angles whose sum is 90.
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...
Move the decimal point to the right x places

23. What is the 'Solution' for a set of inequalities.
The overlapping sections.
87.5%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
7 / 1000

24. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
6 : 1 : 2
When the function is not defined for all real numbers -; only a subset of the real numbers.
Two angles whose sum is 180.
0

25. 8.84 / 5.2
1.7
Divide by 100.
The set of input values for a function.
Two angles whose sum is 90.

26. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The interesection of A and B.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

27. What is the percent formula?
Part = Percent X Whole
Move the decimal point to the right x places
x(x - y + 1)
True

28. Formula for the area of a sector of a circle?
No - the input value has exactly one output.
Sector area = (n/360) X (pi)r^2
75:11
87.5%

29. What is the maximum value for the function g(x) = (-2x^2) -1?
.0004809 X 10^11
1
Lies opposite the greater angle
3/2 - 5/3

30. x^4 + x^7 =
Yes. [i.e. f(x) = x^2 - 1
x^(4+7) = x^11
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.
61 - 67

31. What are 'Supplementary angles?'
(amount of increase/original price) x 100%
The overlapping sections.
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...
Two angles whose sum is 180.

32. What is a piecewise equation?
1
2(pi)r^2 + 2(pi)rh
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

33. Area of a triangle?
A grouping of the members within a set based on a shared characteristic.
The second graph is less steep.
(base*height) / 2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

34. Formula to find a circle'S circumference from its radius?
Its last two digits are divisible by 4.
The interesection of A and B.
C = 2(pi)r
The curve opens downward and the vertex is the maximum point on the graph.

35. Volume for a cylinder?
62.5%
Area of the base X height = (pi)hr^2
16.6666%
...multiply by 100.

36. Which quandrant is the lower right hand?
(base*height) / 2
441000 = 1 10 10 10 21 * 21
31 - 37
IV

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?
441000 = 1 10 10 10 21 * 21
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3
52

38. a^0 =
8
Undefined - because we can'T divide by 0.
The union of A and B.
1

39. Can you add sqrt 3 and sqrt 5?
2sqrt6
No - only like radicals can be added.
1/(x^y)
(amount of increase/original price) x 100%

40. Formula of rectangle where l increases by 20% and w decreases by 20%
13pi / 2
x= (1.2)(.8)lw
A = I (1 + rt)
Triangles with same measure and same side lengths.

41. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
The two xes after factoring.
The sum of digits is divisible by 9.
An infinite set.
2 & 3/7

42. Can you subtract 3sqrt4 from sqrt4?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Yes - like radicals can be added/subtracted.
1
28. n = 8 - k = 2. n! / k!(n-k)!

43. a^2 - 2ab + b^2
0
(a - b)^2
x^(2(4)) =x^8 = (x^4)^2
130pi

44. What is the slope of a vertical line?

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45. Reduce: 4.8 : 0.8 : 1.6
y = (x + 5)/2
10! / 3!(10-3)! = 120
27^(-4)
6 : 1 : 2

46. What is the slope of a horizontal line?
A set with a number of elements which can be counted.
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)
0
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

47. What does the graph x^2 + y^2 = 64 look like?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A circle centered on the origin with radius 8.
6 : 1 : 2
x^(6-3) = x^3

48. What are the integers?
All numbers multiples of 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.
When the function is not defined for all real numbers -; only a subset of the real numbers.
The third side is greater than the difference and less than the sum.

49. What are the irrational numbers?

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50. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
The sum of digits is divisible by 9.
A = pi(r^2)
The shortest arc between points A and B on a circle'S diameter.