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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. Find the surface area of a cylinder with radius 3 and height 12.
Sector area = (n/360) X (pi)r^2
1
72
90pi

2. What is a piecewise equation?
Indeterminable.
4:5
A reflection about the axis.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

3. What is the measure of an exterior angle of a regular pentagon?
72
0
A subset.
Two equal sides and two equal angles.

4. Evaluate 4/11 + 11/12
4.25 - 6 - 22
1 & 37/132
All numbers multiples of 1.
180 degrees

5. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
9 & 6/7
2
... the square of the ratios of the corresponding sides.

6. A number is divisible by 3 if ...
y = 2x^2 - 3
The sum of its digits is divisible by 3.
Undefined - because we can'T divide by 0.
288 (8 9 4)

7. What is the side length of an equilateral triangle with altitude 6?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1/(x^y)
13
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...

8. The larger the absolute value of the slope...
The steeper the slope.
An expression with just one term (-6x - 2a^2)
4a^2(b)
3

9. 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?
37.5%
$3 -500 in the 9% and $2 -500 in the 7%.
A reflection about the axis.
1/2 times 7/3

10. 5x^2 - 35x -55 = 0
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The sum of digits is divisible by 9.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The union of A and B.

11. Describe the relationship between the graphs of x^2 and (1/2)x^2
11 - 13 - 17 - 19
Sqrt 12
The longest arc between points A and B on a circle'S diameter.
The second graph is less steep.

12. What does scientific notation mean?
20.5
5 OR -5
An expression with just one term (-6x - 2a^2)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

13. What is a set with no members called?
1.0843 X 10^11
The empty set - denoted by a circle with a diagonal through it.
F(x-c)
A 30-60-90 triangle.

14. Which is greater? 27^(-4) or 9^(-8)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
11 - 13 - 17 - 19
G(x) = {x}
27^(-4)

15. 5/6 in percent?
83.333%
A chord is a line segment joining two points on a circle.
4725
A tangent is a line that only touches one point on the circumference of a circle.

16. Legs 6 - 8. Hypotenuse?
10
3sqrt4
... the square of the ratios of the corresponding sides.
1

17. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
10
90pi
The overlapping sections.

18. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
48
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
83.333%

19. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
The direction of the inequality is reversed.
F(x) + c
288 (8 9 4)

20. What is the order of operations?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
4a^2(b)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

21. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
10! / 3!(10-3)! = 120
(a - b)(a + b)
1
Triangles with same measure and same side lengths.

22. If the two sides of a triangle are unequal then the longer side...
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Lies opposite the greater angle
62.5%
4725

23. 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?
y = 2x^2 - 3
...multiply by 100.
20.5
67 - 71 - 73

24. What is the 'Solution' for a set of inequalities.
83.333%
Arc length = (n/360) x pi(2r) where n is the number of degrees.
61 - 67
The overlapping sections.

25. Convert 0.7% to a fraction.
7 / 1000
61 - 67
2
18

26. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
$3 -500 in the 9% and $2 -500 in the 7%.
4a^2(b)
18

27. What are the members or elements of a set?
The objects within a set.
A = I (1 + rt)
Sqrt 12
5 OR -5

28. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
An arc is a portion of a circumference of a circle.
(a + b)^2
A = pi(r^2)

29. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
An infinite set.
The steeper the slope.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

30. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
4.25 - 6 - 22
F(x-c)
7 / 1000
Two angles whose sum is 90.

31. a^2 - 2ab + b^2
x^(6-3) = x^3
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
(a - b)^2

32. What is the name for a grouping of the members within a set based on a shared characteristic?
Its negative reciprocal. (-b/a)
A subset.
288 (8 9 4)
$11 -448

33. What is the 'domain' of a function?
The set of input values for a function.
(a - b)(a + b)
F(x-c)
31 - 37

34. What percent of 40 is 22?
The shortest arc between points A and B on a circle'S diameter.
From northeast - counterclockwise. I - II - III - IV
55%
The objects within a set.

35. Simplify 9^(1/2) X 4^3 X 2^(-6)?
F(x) - c
x^(6-3) = x^3
4:5
3

36. The perimeter of a square is 48 inches. The length of its diagonal is:
(a + b)^2
2(pi)r^2 + 2(pi)rh
The direction of the inequality is reversed.
12sqrt2

37. Reduce: 4.8 : 0.8 : 1.6
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
An isosceles right triangle.
The interesection of A and B.
6 : 1 : 2

38. What are the irrational numbers?

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39. What is the ratio of the sides of a 30-60-90 triangle?
90pi
1:sqrt3:2
The third side is greater than the difference and less than the sum.
The set of input values for a function.

40. What are 'Supplementary angles?'
Two angles whose sum is 180.
71 - 73 - 79
Relationship cannot be determined (what if x is negative?)
A set with a number of elements which can be counted.

41. What is a minor arc?

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42. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
2(pi)r^2 + 2(pi)rh
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
All numbers multiples of 1.

43. 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))?
67 - 71 - 73
2
2(pi)r^2 + 2(pi)rh
20.5

44. x^6 / x^3
12! / 5!7! = 792
$11 -448
A = I (1 + rt)
x^(6-3) = x^3

45. 10<all primes<20
11 - 13 - 17 - 19
The empty set - denoted by a circle with a diagonal through it.
A set with a number of elements which can be counted.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

46. Is 0 even or odd?
Even
$11 -448
A = I (1 + rt)
A subset.

47. 6w^2 - w - 15 = 0
(amount of decrease/original price) x 100%
Factors are few - multiples are many.
3/2 - 5/3
A reflection about the origin.

48. Can you simplify sqrt72?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
13pi / 2
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)

49. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
N! / (k!)(n-k)!
53 - 59
5

50. Which quadrant is the upper right hand?
90
I
An isosceles right triangle.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

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GRE Math: Common Errors

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