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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

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. Legs 6 - 8. Hypotenuse?
10
All numbers multiples of 1.
A reflection about the origin.
0

2. In a regular polygon with n sides - the formula for the sum of interior angles
6
The second graph is less steep.
37.5%
(n-2) x 180

3. What is the area of a regular hexagon with side 6?
3 - -3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The sum of digits is divisible by 9.
Two angles whose sum is 90.

4. What is the formula for compounded interest?
(a + b)^2
2(pi)r^2 + 2(pi)rh
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.
Sector area = (n/360) X (pi)r^2

5. Legs 5 - 12. Hypotenuse?
Members or elements
The set of output values for a function.
13
C = (pi)d

6. 10<all primes<20
A circle centered at -2 - -2 with radius 3.
11 - 13 - 17 - 19
.0004809 X 10^11
Part = Percent X Whole

7. How to find the circumference of a circle which circumscribes a square?
2sqrt6
288 (8 9 4)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
180 degrees

8. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
A chord is a line segment joining two points on a circle.
C = (pi)d
6

9. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
A subset.
I
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

10. 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?
The empty set - denoted by a circle with a diagonal through it.
10! / (10-3)! = 720
Two angles whose sum is 90.
10! / 3!(10-3)! = 120

11. What is a central angle?
(amount of decrease/original price) x 100%
2.592 kg
A = pi(r^2)
A central angle is an angle formed by 2 radii.

12. 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?
N! / (k!)(n-k)!
A grouping of the members within a set based on a shared characteristic.
413.03 / 10^4 (move the decimal point 4 places to the left)
6

13. Which is greater? 27^(-4) or 9^(-8)
1
10
(p + q)/5
27^(-4)

14. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
An angle which is supplementary to an interior angle.
61 - 67
2
Two angles whose sum is 180.

15. 5/8 in percent?
90 degrees
F(x-c)
62.5%
F(x) - c

16. (a^-1)/a^5
3sqrt4
1/a^6
A = I (1 + rt)
1/2 times 7/3

17. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
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)
(base*height) / 2
The set of output values for a function.
4.25 - 6 - 22

18. 10^6 has how many zeroes?
(amount of decrease/original price) x 100%
13
6
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)

19. Surface area for a cylinder?
4.25 - 6 - 22
2(pi)r^2 + 2(pi)rh
A tangent is a line that only touches one point on the circumference of a circle.
II

20. Length of an arc of a circle?
Angle/360 x 2(pi)r
The interesection of A and B.
C = 2(pi)r
7 / 1000

21. 0^0
10! / (10-3)! = 720
Undefined
Yes - like radicals can be added/subtracted.
(p + q)/5

22. 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.
From northeast - counterclockwise. I - II - III - IV
(a + b)^2
37.5%
90 degrees

23. 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?
75:11
Two equal sides and two equal angles.
2(pi)r^2 + 2(pi)rh
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

24. What is the graph of f(x) shifted downward c units or spaces?
(a + b)^2
413.03 / 10^4 (move the decimal point 4 places to the left)
(base*height) / 2
F(x) - c

25. x^2 = 9. What is the value of x?
The second graph is less steep.
3 - -3
13pi / 2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

26. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
2.592 kg
288 (8 9 4)
2 & 3/7

27. 7/8 in percent?
87.5%
C = (pi)d
71 - 73 - 79
(a - b)(a + b)

28. 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?
52
0
180 degrees
2 & 3/7

29. What is a minor arc?

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30. What is the percent formula?
9 & 6/7
The set of output values for a function.
Part = Percent X Whole
F(x) - c

31. What is the ratio of the sides of a 30-60-90 triangle?
12! / 5!7! = 792
The second graph is less steep.
2
1:sqrt3:2

32. Solve the quadratic equation ax^2 + bx + c= 0
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
All numbers multiples of 1.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
23 - 29

33. Find the surface area of a cylinder with radius 3 and height 12.
The point of intersection of the systems.
90pi
The steeper the slope.
41 - 43 - 47

34. 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.
3
A subset.
x^(2(4)) =x^8 = (x^4)^2

35. The objects in a set are called two names:
441000 = 1 10 10 10 21 * 21
(base*height) / 2
Members or elements
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

36. Which quandrant is the lower right hand?
IV
F(x + c)
x^(4+7) = x^11
5

37. 70 < all primes< 80
No - only like radicals can be added.
71 - 73 - 79
True
C = 2(pi)r

38. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
F(x-c)
(a - b)(a + b)
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

39. The larger the absolute value of the slope...
The steeper the slope.
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...
Members or elements
N! / (n-k)!

40. 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?
II
Relationship cannot be determined (what if x is negative?)
12sqrt2
500

41. x^6 / x^3
61 - 67
3sqrt4
x^(6-3) = x^3
The longest arc between points A and B on a circle'S diameter.

42. Formula to calculate arc length?
2
1
13pi / 2
Arc length = (n/360) x pi(2r) where n is the number of degrees.

43. 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?
1
9 : 25
52
A = I (1 + rt)

44. What is a finite set?
1
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.
A set with a number of elements which can be counted.

45. Which quadrant is the upper right hand?
18
I
G(x) = {x}
4096

46. 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?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
75:11
The greatest value minus the smallest.
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

47. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
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
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Area of the base X height = (pi)hr^2
8

48. Describe the relationship between the graphs of x^2 and (1/2)x^2
An expression with just one term (-6x - 2a^2)
The second graph is less steep.
Diameter(Pi)
3 - -3

49. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
1 & 37/132
3
The two xes after factoring.
Sector area = (n/360) X (pi)r^2

50. How many sides does a hexagon have?
0
A chord is a line segment joining two points on a circle.
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)
6