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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. What is the 'Range' of a series of numbers?
Two equal sides and two equal angles.
(n-2) x 180
The greatest value minus the smallest.
A reflection about the origin.

2. Which is greater? 64^5 or 16^8
IV
A = pi(r^2)
441000 = 1 10 10 10 21 * 21
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

3. Legs 6 - 8. Hypotenuse?
10
48
(amount of increase/original price) x 100%
A 30-60-90 triangle.

4. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
F(x + c)
A = pi(r^2)
A 30-60-90 triangle.
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)

5. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
The empty set - denoted by a circle with a diagonal through it.
IV
The set of output values for a function.

6. a^2 - 2ab + b^2
1.7
75:11
(a - b)^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

7. Can the input value of a function have more than one output value (i.e. x: y - y1)?
F(x) + c
No - the input value has exactly one output.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
3

8. Which quadrant is the upper left hand?
II
An infinite set.
71 - 73 - 79
C = (pi)d

9. Legs: 3 - 4. Hypotenuse?
Move the decimal point to the right x places
180 degrees
(b + c)
5

10. 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?
The interesection of A and B.
75:11
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

11. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
A 30-60-90 triangle.
28. n = 8 - k = 2. n! / k!(n-k)!
11 - 13 - 17 - 19
500

12. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Move the decimal point to the right x places
(a - b)^2

13. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
No - the input value has exactly one output.
The second graph is less steep.
A set with a number of elements which can be counted.

14. What is a subset?
A grouping of the members within a set based on a shared characteristic.
20.5
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
9 & 6/7

15. 1/6 in percent?
16.6666%
Members or elements
2
A reflection about the origin.

16. What is the graph of f(x) shifted left c units or spaces?
41 - 43 - 47
8
F(x + c)
The sum of its digits is divisible by 3.

17. What are congruent triangles?
F(x) - c
28. n = 8 - k = 2. n! / k!(n-k)!
Triangles with same measure and same side lengths.
1

18. P and r are factors of 100. What is greater - pr or 100?
Two angles whose sum is 180.
3/2 - 5/3
72
Indeterminable.

19. What is an exterior angle?
The set of elements found in both A and B.
An angle which is supplementary to an interior angle.
7 / 1000
500

20. 10^6 has how many zeroes?
1
N! / (n-k)!
6
The longest arc between points A and B on a circle'S diameter.

21. What is an isoceles triangle?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
2.592 kg
Two equal sides and two equal angles.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

22. Formula to find a circle'S circumference from its radius?
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...
Infinite.
1.0843 X 10^11
C = 2(pi)r

23. What is the surface area of a cylinder with radius 5 and height 8?
Infinite.
130pi
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A tangent is a line that only touches one point on the circumference of a circle.

24. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
The set of output values for a function.
x(x - y + 1)
Triangles with same measure and same side lengths.

25. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
A reflection about the origin.
13pi / 2
Its last two digits are divisible by 4.
A circle centered on the origin with radius 8.

26. What does scientific notation mean?
1/(x^y)
Relationship cannot be determined (what if x is negative?)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x^(4+7) = x^11

27. Evaluate (4^3)^2
4096
12sqrt2
An expression with just one term (-6x - 2a^2)
90

28. The larger the absolute value of the slope...
37.5%
The steeper the slope.
67 - 71 - 73
9 : 25

29. What is the maximum value for the function g(x) = (-2x^2) -1?
III
1.0843 X 10^11
1
Sector area = (n/360) X (pi)r^2

30. Reduce: 4.8 : 0.8 : 1.6
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
6 : 1 : 2
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

31. What is a central angle?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
9 & 6/7
Two equal sides and two equal angles.
A central angle is an angle formed by 2 radii.

32. Describe the relationship between the graphs of x^2 and (1/2)x^2
75:11
41 - 43 - 47
72
The second graph is less steep.

33. What is the set of elements which can be found in either A or B?
Undefined
53 - 59
The union of A and B.
(p + q)/5

34. Evaluate 3& 2/7 / 1/3
1
An angle which is supplementary to an interior angle.
9 & 6/7
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

35. What is a piecewise equation?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
All numbers multiples of 1.
90pi
The union of A and B.

36. Is 0 even or odd?
The longest arc between points A and B on a circle'S diameter.
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...
72
Even

37. 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)
6 : 1 : 2
23 - 29
1:sqrt3:2

38. 7/8 in percent?
441000 = 1 10 10 10 21 * 21
Angle/360 x 2(pi)r
87.5%
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...

39. What is the side length of an equilateral triangle with altitude 6?
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...
x^(2(4)) =x^8 = (x^4)^2
A reflection about the axis.
An infinite set.

40. When the 'a' in the parabola is negative...
83.333%
The longest arc between points A and B on a circle'S diameter.
The curve opens downward and the vertex is the maximum point on the graph.
1/a^6

41. What is the formula for compounded interest?
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.
The empty set - denoted by a circle with a diagonal through it.
Infinite.
A = pi(r^2)

42. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
67 - 71 - 73
2.592 kg
N! / (k!)(n-k)!

43. How to find the circumference of a circle which circumscribes a square?
1:sqrt3:2
Area of the base X height = (pi)hr^2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
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)

44. x^(-y)=
441000 = 1 10 10 10 21 * 21
1/(x^y)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
2 & 3/7

45. Formula of rectangle where l increases by 20% and w decreases by 20%
Infinite.
12.5%
(a - b)(a + b)
x= (1.2)(.8)lw

46. What is a set with no members called?
3
Undefined - because we can'T divide by 0.
The empty set - denoted by a circle with a diagonal through it.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

47. a^2 - b^2
1
53 - 59
(a - b)(a + b)
Relationship cannot be determined (what if x is negative?)

48. What is the ratio of the sides of an isosceles right triangle?
1
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
2(pi)r^2 + 2(pi)rh
1:1:sqrt2

49. Factor x^2 - xy + x.
The point of intersection of the systems.
The curve opens upward and the vertex is the minimal point on the graph.
Lies opposite the greater angle
x(x - y + 1)

50. 1/2 divided by 3/7 is the same as
7 / 1000
The objects within a set.
1/2 times 7/3
From northeast - counterclockwise. I - II - III - IV

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GRE Math: Common Errors

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