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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 are 'Supplementary angles?'
1
Two angles whose sum is 180.
Pi is the ratio of a circle'S circumference to its diameter.
62.5%

2. 50 < all primes< 60
53 - 59
(a + b)^2
N! / (n-k)!
The empty set - denoted by a circle with a diagonal through it.

3. What is the formula for compounded interest?
The objects within a set.
Its last two digits are divisible by 4.
Two angles whose sum is 180.
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.

4. Which quadrant is the upper right hand?
The curve opens downward and the vertex is the maximum point on the graph.
Even
9 : 25
I

5. Simplify (a^2 + b)^2 - (a^2 - b)^2
Yes. [i.e. f(x) = x^2 - 1
4a^2(b)
x(x - y + 1)
Factors are few - multiples are many.

6. What are the integers?
23 - 29
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.
All numbers multiples of 1.
288 (8 9 4)

7. To convert a decimal to a percent...
Ax^2 + bx + c where a -b and c are constants and a /=0
A reflection about the origin.
4725
...multiply by 100.

8. 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?
9 : 25
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
10! / (10-3)! = 720
2^9 / 2 = 256

9. Simplify 9^(1/2) X 4^3 X 2^(-6)?
The two xes after factoring.
(n-2) x 180
3
$11 -448

10. 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.
Lies opposite the greater angle
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+ sqrt93) /2] - [(7 - sqrt93) / 2]

11. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
4.25 - 6 - 22
180
Undefined

12. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
1/2 times 7/3
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
From northeast - counterclockwise. I - II - III - IV
67 - 71 - 73

13. 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?
2
37.5%
72
N! / (k!)(n-k)!

14. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
9 : 25
28. n = 8 - k = 2. n! / k!(n-k)!
2 & 3/7
A circle centered on the origin with radius 8.

15. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
An angle which is supplementary to an interior angle.
From northeast - counterclockwise. I - II - III - IV
x^(4+7) = x^11

16. What is the measure of an exterior angle of a regular pentagon?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
23 - 29
72

17. What are the real numbers?
The curve opens upward and the vertex is the minimal point on the graph.
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)
4:5
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

18. (-1)^3 =
1
Area of the base X height = (pi)hr^2
(amount of increase/original price) x 100%
413.03 / 10^4 (move the decimal point 4 places to the left)

19. What is the percent formula?
(a - b)^2
Part = Percent X Whole
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

20. 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?
(p + q)/5
The set of elements found in both A and B.
$3 -500 in the 9% and $2 -500 in the 7%.
x^(6-3) = x^3

21. What is the formula for computing simple interest?
A 30-60-90 triangle.
A = I (1 + rt)
The two xes after factoring.
Infinite.

22. 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?
A circle centered on the origin with radius 8.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(p + q)/5
75:11

23. A number is divisible by 4 is...
x^(2(4)) =x^8 = (x^4)^2
72
Its last two digits are divisible by 4.
The set of input values for a function.

24. What are the rational numbers?
288 (8 9 4)
Diameter(Pi)
1.7
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

25. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - only like radicals can be added.
No - the input value has exactly one output.
Two angles whose sum is 90.
When the function is not defined for all real numbers -; only a subset of the real numbers.

26. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
41 - 43 - 47
0
A = I (1 + rt)

27. 20<all primes<30
11 - 13 - 17 - 19
87.5%
23 - 29
Factors are few - multiples are many.

28. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
500
The shortest arc between points A and B on a circle'S diameter.
28. n = 8 - k = 2. n! / k!(n-k)!
$3 -500 in the 9% and $2 -500 in the 7%.

29. If an inequality is multiplied or divided by a negative number....
F(x-c)
The direction of the inequality is reversed.
3/2 - 5/3
A = I (1 + rt)

30. 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
67 - 71 - 73
18
288 (8 9 4)
Members or elements

31. The slope of a line perpendicular to (a/b)?
Its negative reciprocal. (-b/a)
No - the input value has exactly one output.
Angle/360 x 2(pi)r
180

32. Can the output value of a function have more than one input value?
x(x - y + 1)
F(x + c)
(n-2) x 180
Yes. [i.e. f(x) = x^2 - 1

33. Can you simplify sqrt72?
4:5
C = 2(pi)r
0
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

34. 2sqrt4 + sqrt4 =
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
1:sqrt3:2
x^(6-3) = x^3
3sqrt4

35. What is the 'union' of A and B?
A = I (1 + rt)
37.5%
A 30-60-90 triangle.
The set of elements which can be found in either A or B.

36. Simplify the expression (p^2 - q^2)/ -5(q - p)
All numbers multiples of 1.
(p + q)/5
(a - b)^2
Area of the base X height = (pi)hr^2

37. (x^2)^4
5
83.333%
Lies opposite the greater angle
x^(2(4)) =x^8 = (x^4)^2

38. 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
The sum of digits is divisible by 9.
67 - 71 - 73
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

39. a^2 + 2ab + b^2
3 - -3
Sqrt 12
90pi
(a + b)^2

40. Legs 5 - 12. Hypotenuse?
Members or elements
13
F(x) - c
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)

41. What is a set with no members called?
Its negative reciprocal. (-b/a)
72
F(x-c)
The empty set - denoted by a circle with a diagonal through it.

42. What is an isoceles triangle?
Two equal sides and two equal angles.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1:1:sqrt2
52

43. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
500
Infinite.
5

44. How to find the diagonal of a rectangular solid?
C = 2(pi)r
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The curve opens upward and the vertex is the minimal point on the graph.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

45. 70 < all primes< 80
III
The curve opens upward and the vertex is the minimal point on the graph.
y = (x + 5)/2
71 - 73 - 79

46. What is a central angle?
Part = Percent X Whole
Its last two digits are divisible by 4.
A central angle is an angle formed by 2 radii.
70

47. When the 'a' in a parabola is positive....
16.6666%
52
The curve opens upward and the vertex is the minimal point on the graph.
The greatest value minus the smallest.

48. What are the members or elements of a set?
9 & 6/7
The objects within a set.
An angle which is supplementary to an interior angle.
Angle/360 x (pi)r^2

49. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
180
67 - 71 - 73
When the function is not defined for all real numbers -; only a subset of the real numbers.

50. What is the slope of a vertical line?

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GRE Math: Common Errors

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