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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. a^0 =
Relationship cannot be determined (what if x is negative?)
1
6
...multiply by 100.

2. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
2^9 / 2 = 256
1
1

3. Can you simplify sqrt72?
The shortest arc between points A and B on a circle'S diameter.
Undefined - because we can'T divide by 0.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
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)

4. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
...multiply by 100.

5. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
10
Relationship cannot be determined (what if x is negative?)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

6. What is the 'domain' of a function?
1/a^6
An angle which is supplementary to an interior angle.
The set of input values for a function.
When the function is not defined for all real numbers -; only a subset of the real numbers.

7. What is the percent formula?
1/a^6
Part = Percent X Whole
An arc is a portion of a circumference of a circle.
20.5

8. 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?
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)
Factors are few - multiples are many.
y = 2x^2 - 3
413.03 / 10^4 (move the decimal point 4 places to the left)

9. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
1
A circle centered at -2 - -2 with radius 3.
A tangent is a line that only touches one point on the circumference of a circle.
3

10. What is the graph of f(x) shifted left c units or spaces?
... the square of the ratios of the corresponding sides.
F(x + c)
(n-2) x 180
The empty set - denoted by a circle with a diagonal through it.

11. What is a piecewise equation?
The overlapping sections.
1/(x^y)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
The curve opens upward and the vertex is the minimal point on the graph.

12. What is the maximum value for the function g(x) = (-2x^2) -1?
90
1
Angle/360 x (pi)r^2
3sqrt4

13. 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)]?
True
A circle centered on the origin with radius 8.
5 OR -5
The interesection of A and B.

14. To multiply a number by 10^x
Move the decimal point to the right x places
No - only like radicals can be added.
Divide by 100.
13

15. What is an isoceles triangle?
The set of output values for a function.
(amount of increase/original price) x 100%
Two equal sides and two equal angles.
6

16. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Cd
Infinite.
The direction of the inequality is reversed.
2 & 3/7

17. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
1.0843 X 10^11
1
From northeast - counterclockwise. I - II - III - IV
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

18. How to find the circumference of a circle which circumscribes a square?
x= (1.2)(.8)lw
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Ax^2 + bx + c where a -b and c are constants and a /=0
A central angle is an angle formed by 2 radii.

19. What is the surface area of a cylinder with radius 5 and height 8?
130pi
11 - 13 - 17 - 19
70
Triangles with same measure and same side lengths.

20. What is the sum of the angles of a triangle?
180 degrees
The empty set - denoted by a circle with a diagonal through it.
3/2 - 5/3
Two equal sides and two equal angles.

21. 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?
130pi
The greatest value minus the smallest.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
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

22. Write 10 -843 X 10^7 in scientific notation
Sqrt 12
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The interesection of A and B.
1.0843 X 10^11

23. 50 < all primes< 60
1:1:sqrt2
53 - 59
4096
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

24. What is the 'Solution' for a set of inequalities.
The two xes after factoring.
18
4096
The overlapping sections.

25. 4.809 X 10^7 =
11 - 13 - 17 - 19
.0004809 X 10^11
The third side is greater than the difference and less than the sum.
A grouping of the members within a set based on a shared characteristic.

26. 7/8 in percent?
The third side is greater than the difference and less than the sum.
1.0843 X 10^11
... the square of the ratios of the corresponding sides.
87.5%

27. What are the irrational numbers?

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28. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
13pi / 2
0
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
12.5%

29. What are 'Supplementary angles?'
II
Two angles whose sum is 180.
An expression with just one term (-6x - 2a^2)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

30. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
(a + b)^2
G(x) = {x}
The empty set - denoted by a circle with a diagonal through it.
10! / (10-3)! = 720

31. How to find the area of a sector?
Undefined - because we can'T divide by 0.
2sqrt6
Angle/360 x (pi)r^2
(a + b)^2

32. x^(-y)=
.0004809 X 10^11
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Relationship cannot be determined (what if x is negative?)
1/(x^y)

33. What is the order of operations?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
1/a^6
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

34. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(a + b)^2
The interesection of A and B.

35. What is the measure of an exterior angle of a regular pentagon?
Members or elements
72
4:5
Triangles with same measure and same side lengths.

36. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
41 - 43 - 47
6
23 - 29

37. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
x^(6-3) = x^3
4725
An angle which is supplementary to an interior angle.
20.5

38. What are the members or elements of a set?
(n-2) x 180
I
Angle/360 x (pi)r^2
The objects within a set.

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
A 30-60-90 triangle.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
288 (8 9 4)

40. What is a major arc?

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41. To convert a decimal to a percent...
53 - 59
I
...multiply by 100.
(a - b)(a + b)

42. What is a chord of a circle?
A central angle is an angle formed by 2 radii.
A chord is a line segment joining two points on a circle.
4.25 - 6 - 22
Two equal sides and two equal angles.

43. What is the 'Range' of a series of numbers?
72
3/2 - 5/3
10! / (10-3)! = 720
The greatest value minus the smallest.

44. 10<all primes<20
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 set of output values for a function.
11 - 13 - 17 - 19
75:11

45. 30< all primes<40
... the square of the ratios of the corresponding sides.
Undefined - because we can'T divide by 0.
31 - 37
62.5%

46. What are the integers?
Yes - like radicals can be added/subtracted.
All numbers multiples of 1.
2.592 kg
$3 -500 in the 9% and $2 -500 in the 7%.

47. Formula for the area of a circle?
A = pi(r^2)
F(x) + c
y = 2x^2 - 3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

48. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1
The interesection of A and B.
12.5%

49. How many sides does a hexagon have?
71 - 73 - 79
6
441000 = 1 10 10 10 21 * 21
The set of elements found in both A and B.

50. 70 < all primes< 80
71 - 73 - 79
The overlapping sections.
70
75:11