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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. Define a 'monomial'
4096
1/2 times 7/3
An expression with just one term (-6x - 2a^2)
Undefined - because we can'T divide by 0.

2. 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?
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
37.5%
62.5%
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 ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
The objects within a set.
Angle/360 x 2(pi)r
.0004809 X 10^11

4. A number is divisible by 3 if ...
Area of the base X height = (pi)hr^2
A circle centered at -2 - -2 with radius 3.
The sum of its digits is divisible by 3.
1.7

5. P and r are factors of 100. What is greater - pr or 100?
The set of input values for a function.
Indeterminable.
Pi is the ratio of a circle'S circumference to its diameter.
x^(6-3) = x^3

6. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
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)
Yes. [i.e. f(x) = x^2 - 1
y = (x + 5)/2

7. If the two sides of a triangle are unequal then the longer side...
N! / (k!)(n-k)!
72
Lies opposite the greater angle
11 - 13 - 17 - 19

8. Pi is a ratio of what to what?

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9. 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?
75:11
2.592 kg
Indeterminable.
An isosceles right triangle.

10. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
Lies opposite the greater angle
90 degrees
Its negative reciprocal. (-b/a)
1 & 37/132

11. Volume for a cylinder?
Area of the base X height = (pi)hr^2
A chord is a line segment joining two points on a circle.
71 - 73 - 79
41 - 43 - 47

12. What are 'Supplementary angles?'
Yes - like radicals can be added/subtracted.
1.0843 X 10^11
The third side is greater than the difference and less than the sum.
Two angles whose sum is 180.

13. What is the slope of a vertical line?

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14. Can you add sqrt 3 and sqrt 5?
N! / (k!)(n-k)!
No - only like radicals can be added.
4a^2(b)
(a + b)^2

15. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
Diameter(Pi)
413.03 / 10^4 (move the decimal point 4 places to the left)
41 - 43 - 47

16. What is a parabola?
4.25 - 6 - 22
C = (pi)d
Ax^2 + bx + c where a -b and c are constants and a /=0
1

17. How to find the circumference of a circle which circumscribes a square?
Angle/360 x (pi)r^2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
2.592 kg
No - the input value has exactly one output.

18. 413.03 x 10^(-4) =
A set with a number of elements which can be counted.
413.03 / 10^4 (move the decimal point 4 places to the left)
2.592 kg
The overlapping sections.

19. What number between 70 & 75 - inclusive - has the greatest number of factors?
No - only like radicals can be added.
Angle/360 x (pi)r^2
72
1:sqrt3:2

20. Convert 0.7% to a fraction.
Move the decimal point to the right x places
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
7 / 1000
... the square of the ratios of the corresponding sides.

21. What is a tangent?
90pi
A tangent is a line that only touches one point on the circumference of a circle.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
No - only like radicals can be added.

22. What is a minor arc?

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23. Formula of rectangle where l increases by 20% and w decreases by 20%
12sqrt2
x= (1.2)(.8)lw
IV
x^(4+7) = x^11

24. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
441000 = 1 10 10 10 21 * 21
1
4096
37.5%

25. Which quandrant is the lower right hand?
27^(-4)
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.
10! / (10-3)! = 720
IV

26. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
An arc is a portion of a circumference of a circle.
12! / 5!7! = 792
Undefined - because we can'T divide by 0.

27. What is the sum of the angles of a triangle?
No - the input value has exactly one output.
180 degrees
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.
0

28. What is the name of set with a number of elements which cannot be counted?
1
An infinite set.
12.5%
7 / 1000

29. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
A grouping of the members within a set based on a shared characteristic.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
$11 -448

30. Write 10 -843 X 10^7 in scientific notation
...multiply by 100.
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.
87.5%
1.0843 X 10^11

31. When the 'a' in a parabola is positive....
An expression with just one term (-6x - 2a^2)
(base*height) / 2
441000 = 1 10 10 10 21 * 21
The curve opens upward and the vertex is the minimal point on the graph.

32. Legs: 3 - 4. Hypotenuse?
True
52
y = (x + 5)/2
5

33. Formula to find a circle'S circumference from its radius?
10! / (10-3)! = 720
C = 2(pi)r
Two angles whose sum is 90.
A = pi(r^2)

34. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
(p + q)/5
An isosceles right triangle.
2
4096

35. What is the absolute value function?
3
3sqrt4
G(x) = {x}
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

36. 4.809 X 10^7 =
.0004809 X 10^11
10
N! / (n-k)!
Pi is the ratio of a circle'S circumference to its diameter.

37. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
2
28. n = 8 - k = 2. n! / k!(n-k)!
8
10

38. Evaluate (4^3)^2
83.333%
9 & 6/7
4096
G(x) = {x}

39. How to determine percent increase?
Part = Percent X Whole
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(amount of increase/original price) x 100%
Indeterminable.

40. 1/6 in percent?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Yes - like radicals can be added/subtracted.
16.6666%
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

41. What is the percent formula?
Yes. [i.e. f(x) = x^2 - 1
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...
Part = Percent X Whole
The direction of the inequality is reversed.

42. 2sqrt4 + sqrt4 =
The steeper the slope.
A = I (1 + rt)
Triangles with same measure and same side lengths.
3sqrt4

43. 60 < all primes <70
(a - b)(a + b)
61 - 67
A reflection about the origin.
(b + c)

44. What percent of 40 is 22?
55%
4096
True
Its negative reciprocal. (-b/a)

45. 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
18
90pi
9 : 25
20.5

46. (x^2)^4
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 graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Relationship cannot be determined (what if x is negative?)
x^(2(4)) =x^8 = (x^4)^2

47. Legs 6 - 8. Hypotenuse?
Cd
... the square of the ratios of the corresponding sides.
288 (8 9 4)
10

48. Which is greater? 64^5 or 16^8
C = (pi)d
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The shortest arc between points A and B on a circle'S diameter.
No - the input value has exactly one output.

49. Factor a^2 + 2ab + b^2
(a + b)^2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
An infinite set.

50. A number is divisible by 4 is...
2
(p + q)/5
Its last two digits are divisible by 4.
4096

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GRE Math: Common Errors

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