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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.
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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. 70 < all primes< 80
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
71 - 73 - 79
The two xes after factoring.
27^(-4)

2. What is an isoceles triangle?
2sqrt6
1.0843 X 10^11
The greatest value minus the smallest.
Two equal sides and two equal angles.

3. Which quadrant is the upper right hand?
12! / 5!7! = 792
$3 -500 in the 9% and $2 -500 in the 7%.
I
C = (pi)d

4. Formula for the area of a sector of a circle?
180
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Sector area = (n/360) X (pi)r^2
F(x) + c

5. A number is divisible by 6 if...
Its divisible by 2 and by 3.
(a - b)^2
Move the decimal point to the right x places
The curve opens downward and the vertex is the maximum point on the graph.

6. Simplify the expression (p^2 - q^2)/ -5(q - p)
2.592 kg
(p + q)/5
3 - -3
A central angle is an angle formed by 2 radii.

7. 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?
The curve opens downward and the vertex is the maximum point on the graph.
A tangent is a line that only touches one point on the circumference of a circle.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
2.592 kg

8. 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?
Undefined - because we can'T divide by 0.
(a - b)(a + b)
10! / 3!(10-3)! = 120
3/2 - 5/3

9. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
72
Angle/360 x 2(pi)r
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

10. What is the 'Range' of a function?
10! / (10-3)! = 720
The set of output values for a function.
11 - 13 - 17 - 19
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

11. 10^6 has how many zeroes?
6
(a - b)(a + b)
1.0843 X 10^11
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

12. 6w^2 - w - 15 = 0
1:1:sqrt2
3/2 - 5/3
The set of output values for a function.
F(x) + c

13. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Factors are few - multiples are many.
1
(b + c)

14. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
72
Factors are few - multiples are many.
Cd
12sqrt2

15. x^6 / x^3
x^(6-3) = x^3
An expression with just one term (-6x - 2a^2)
2(pi)r^2 + 2(pi)rh
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

16. 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?
The set of output values for a function.
52
Two equal sides and two equal angles.
Pi is the ratio of a circle'S circumference to its diameter.

17. What is the slope of a horizontal line?
0
70
A set with no members - denoted by a circle with a diagonal through it.
F(x) + c

18. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
1/a^6
2^9 / 2 = 256
Even
The longest arc between points A and B on a circle'S diameter.

19. (-1)^3 =
Two angles whose sum is 90.
18
1
70

20. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
52
The two xes after factoring.
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

21. What are the irrational numbers?

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22. 7/8 in percent?
(a + b)^2
87.5%
0
Ax^2 + bx + c where a -b and c are constants and a /=0

23. The larger the absolute value of the slope...
A chord is a line segment joining two points on a circle.
Even
The steeper the slope.
4096

24. What is the slope of a vertical line?

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25. A number is divisible by 4 is...
Yes - like radicals can be added/subtracted.
Its last two digits are divisible by 4.
No - only like radicals can be added.
The second graph is less steep.

26. In a regular polygon with n sides - the formula for the sum of interior angles
Ax^2 + bx + c where a -b and c are constants and a /=0
(n-2) x 180
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1/(x^y)

27. Simplify the expression [(b^2 - c^2) / (b - c)]
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
3/2 - 5/3
48
(b + c)

28. a^2 - b^2
Cd
75:11
(a - b)(a + b)
13pi / 2

29. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
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.
55%
Move the decimal point to the right x places

30. What is the intersection of A and B?
True
x= (1.2)(.8)lw
The set of elements found in both A and B.
x^(2(4)) =x^8 = (x^4)^2

31. (x^2)^4
13
x^(2(4)) =x^8 = (x^4)^2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
27^(-4)

32. When does a function automatically have a restricted domain (2)?
An angle which is supplementary to an interior angle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The sum of its digits is divisible by 3.
y = 2x^2 - 3

33. Circumference of a circle?
Diameter(Pi)
All numbers multiples of 1.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The set of input values for a function.

34. 1/8 in percent?
A reflection about the origin.
12.5%
The two xes after factoring.
A chord is a line segment joining two points on a circle.

35. What is the surface area of a cylinder with radius 5 and height 8?
The two xes after factoring.
$11 -448
(p + q)/5
130pi

36. What are the rational numbers?
1/2 times 7/3
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
180 degrees
4.25 - 6 - 22

37. 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
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
2(pi)r^2 + 2(pi)rh
The point of intersection of the systems.

38. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
1:sqrt3:2
$11 -448
G(x) = {x}
(a - b)^2

39. What are the members or elements of a set?
62.5%
The objects within a set.
x^(4+7) = x^11
1

40. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
Factors are few - multiples are many.
When the function is not defined for all real numbers -; only a subset of the real numbers.
3 - -3

41. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
A grouping of the members within a set based on a shared characteristic.
2sqrt6
(b + c)
A central angle is an angle formed by 2 radii.

42. What is the 'Solution' for a system of linear equations?
31 - 37
The steeper the slope.
The sum of digits is divisible by 9.
The point of intersection of the systems.

43. What is a piecewise 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)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Its last two digits are divisible by 4.
The objects within a set.

44. 5/6 in percent?
Divide by 100.
Infinite.
$3 -500 in the 9% and $2 -500 in the 7%.
83.333%

45. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
1/(x^y)
A 30-60-90 triangle.
Yes. [i.e. f(x) = x^2 - 1
75:11

46. What is the graph of f(x) shifted upward c units or spaces?
37.5%
$11 -448
F(x) + c
y = 2x^2 - 3

47. a^2 - 2ab + b^2
A central angle is an angle formed by 2 radii.
180
(a - b)^2
Area of the base X height = (pi)hr^2

48. What is an arc of a circle?
Relationship cannot be determined (what if x is negative?)
An arc is a portion of a circumference of a circle.
IV
37.5%

49. How to find the diagonal of a rectangular solid?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
...multiply by 100.
441000 = 1 10 10 10 21 * 21
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

50. Define a 'Term' -
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)
55%
(base*height) / 2
12.5%

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GRE Math: Common Errors

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