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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 name for a grouping of the members within a set based on a shared characteristic?
55%
41 - 43 - 47
A set with a number of elements which can be counted.
A subset.

2. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
I
Lies opposite the greater angle
Its divisible by 2 and by 3.

3. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
67 - 71 - 73
A tangent is a line that only touches one point on the circumference of a circle.
Sector area = (n/360) X (pi)r^2

4. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
No - only like radicals can be added.
From northeast - counterclockwise. I - II - III - IV
1/a^6
A circle centered at -2 - -2 with radius 3.

5. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
A set with a number of elements which can be counted.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
2sqrt6
When the function is not defined for all real numbers -; only a subset of the real numbers.

6. What is the formula for computing simple interest?
(base*height) / 2
1:sqrt3:2
A = I (1 + rt)
180 degrees

7. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
0
8
Its divisible by 2 and by 3.
Ax^2 + bx + c where a -b and c are constants and a /=0

8. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
130pi
The set of elements which can be found in either A or B.
52

9. 60 < all primes <70
An angle which is supplementary to an interior angle.
Sector area = (n/360) X (pi)r^2
9 & 6/7
61 - 67

10. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Its last two digits are divisible by 4.
(amount of decrease/original price) x 100%
2 & 3/7
10

11. (-1)^3 =
1
28. n = 8 - k = 2. n! / k!(n-k)!
Part = Percent X Whole
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)

12. To convert a percent to a fraction....
(a - b)(a + b)
Divide by 100.
... the square of the ratios of the corresponding sides.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

13. What is an arc of a circle?
G(x) = {x}
An arc is a portion of a circumference of a circle.
N! / (k!)(n-k)!
x^(4+7) = x^11

14. a^2 - 2ab + b^2
(a - b)^2
1:sqrt3:2
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

15. Reduce: 4.8 : 0.8 : 1.6
3 - -3
8
10! / (10-3)! = 720
6 : 1 : 2

16. What is the intersection of A and B?
The set of elements found in both A and B.
x(x - y + 1)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Its last two digits are divisible by 4.

17. 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?
An isosceles right triangle.
4a^2(b)
1.0843 X 10^11
500

18. 10<all primes<20
0
11 - 13 - 17 - 19
The curve opens downward and the vertex is the maximum point on the graph.
Sector area = (n/360) X (pi)r^2

19. 40 < all primes<50
41 - 43 - 47
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)
1.0843 X 10^11
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)

20. How to find the area of a sector?
.0004809 X 10^11
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A subset.
Angle/360 x (pi)r^2

21. A number is divisible by 4 is...
A circle centered at -2 - -2 with radius 3.
Its last two digits are divisible by 4.
1/(x^y)
180 degrees

22. What is the formula for compounded interest?
x= (1.2)(.8)lw
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
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 two xes after factoring.

23. 25^(1/2) or sqrt. 25 =
II
5 OR -5
500
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

24. What is the 'Solution' for a system of linear equations?
Pi is the ratio of a circle'S circumference to its diameter.
The point of intersection of the systems.
83.333%
The longest arc between points A and B on a circle'S diameter.

25. 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
288 (8 9 4)
18
The steeper the slope.
2sqrt6

26. What is the measure of an exterior angle of a regular pentagon?
Relationship cannot be determined (what if x is negative?)
.0004809 X 10^11
41 - 43 - 47
72

27. Is 0 even or odd?
Even
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The curve opens downward and the vertex is the maximum point on the graph.
2 & 3/7

28. Order of quadrants:
... the square of the ratios of the corresponding sides.
413.03 / 10^4 (move the decimal point 4 places to the left)
From northeast - counterclockwise. I - II - III - IV
Area of the base X height = (pi)hr^2

29. Which quadrant is the upper left hand?
55%
(n-2) x 180
II
No - the input value has exactly one output.

30. 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?
10! / 3!(10-3)! = 120
18
9 : 25
(a + b)^2

31. a^0 =
The set of elements found in both A and B.
72
1
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)

32. What number between 70 & 75 - inclusive - has the greatest number of factors?
441000 = 1 10 10 10 21 * 21
4:5
Factors are few - multiples are many.
72

33. What is the maximum value for the function g(x) = (-2x^2) -1?
9 & 6/7
23 - 29
1
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

34. P and r are factors of 100. What is greater - pr or 100?
1/a^6
Indeterminable.
3
IV

35. Which quadrant is the lower left hand?
Triangles with same measure and same side lengths.
5 OR -5
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
III

36. What are the rational numbers?
Move the decimal point to the right x places
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A set with a number of elements which can be counted.
1

37. Legs: 3 - 4. Hypotenuse?
A grouping of the members within a set based on a shared characteristic.
5
3
The direction of the inequality is reversed.

38. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
4a^2(b)
12sqrt2
90pi

39. Evaluate 4/11 + 11/12
31 - 37
1 & 37/132
A set with a number of elements which can be counted.
The overlapping sections.

40. 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?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The steeper the slope.
N! / (k!)(n-k)!
Area of the base X height = (pi)hr^2

41. What are the real numbers?
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)
A circle centered on the origin with radius 8.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

42. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
I
20.5
Infinite.
2^9 / 2 = 256

43. To convert a decimal to a percent...
...multiply by 100.
The curve opens downward and the vertex is the maximum point on the graph.
Relationship cannot be determined (what if x is negative?)
Two angles whose sum is 90.

44. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
A grouping of the members within a set based on a shared characteristic.
1
500

45. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
Sqrt 12
A chord is a line segment joining two points on a circle.
The union of A and B.

46. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
12! / 5!7! = 792
A circle centered on the origin with radius 8.
(base*height) / 2

47. A number is divisible by 9 if...
The sum of digits is divisible by 9.
The longest arc between points A and B on a circle'S diameter.
The direction of the inequality is reversed.
1.7

48. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
1:sqrt3:2
10
N! / (n-k)!
A 30-60-90 triangle.

49. Legs 6 - 8. Hypotenuse?
The overlapping sections.
10
Yes - like radicals can be added/subtracted.
41 - 43 - 47

50. Volume for a cylinder?
3 - -3
The second graph is less steep.
Area of the base X height = (pi)hr^2
48

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GRE Math: Common Errors

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