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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. 0^0
2(pi)r^2 + 2(pi)rh
Undefined
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Factors are few - multiples are many.

2. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
Undefined
Yes - like radicals can be added/subtracted.
Members or elements

3. Can you add sqrt 3 and sqrt 5?
(n-2) x 180
41 - 43 - 47
0
No - only like radicals can be added.

4. Can the input value of a function have more than one output value (i.e. x: y - y1)?
5 OR -5
The greatest value minus the smallest.
No - the input value has exactly one output.
A = I (1 + rt)

5. A number is divisible by 4 is...
1 & 37/132
9 & 6/7
Angle/360 x (pi)r^2
Its last two digits are divisible by 4.

6. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
6
130pi
A central angle is an angle formed by 2 radii.

7. What are congruent triangles?
Its last two digits are divisible by 4.
Triangles with same measure and same side lengths.
16.6666%
441000 = 1 10 10 10 21 * 21

8. How to determine percent decrease?
(amount of decrease/original price) x 100%
72
Members or elements
From northeast - counterclockwise. I - II - III - IV

9. 10^6 has how many zeroes?
6
5 OR -5
Two angles whose sum is 90.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

10. Factor x^2 - xy + x.
C = 2(pi)r
5 OR -5
x(x - y + 1)
A tangent is a line that only touches one point on the circumference of a circle.

11. Define a 'Term' -
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)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
10! / 3!(10-3)! = 120
A set with no members - denoted by a circle with a diagonal through it.

12. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
4a^2(b)
(a + b)^2
1

13. The larger the absolute value of the slope...
The steeper the slope.
An infinite set.
G(x) = {x}
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

14. Whats the difference between factors and multiples?
Factors are few - multiples are many.
12sqrt2
Pi is the ratio of a circle'S circumference to its diameter.
28. n = 8 - k = 2. n! / k!(n-k)!

15. 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?
F(x) + c
The two xes after factoring.
23 - 29
N! / (k!)(n-k)!

16. What is the 'union' of A and B?
Cd
The set of elements which can be found in either A or B.
31 - 37
Its negative reciprocal. (-b/a)

17. What is the 'Restricted domain of a function'?
180
When the function is not defined for all real numbers -; only a subset of the real numbers.
...multiply by 100.
x^(6-3) = x^3

18. What is the slope of a horizontal line?
(a + b)^2
0
3/2 - 5/3
Factors are few - multiples are many.

19. Simplify (a^2 + b)^2 - (a^2 - b)^2
The set of elements which can be found in either A or B.
4a^2(b)
1
72

20. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
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.
(a - b)(a + b)
Cd

21. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
Angle/360 x (pi)r^2
6 : 1 : 2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

22. 5/8 in percent?
28. n = 8 - k = 2. n! / k!(n-k)!
62.5%
2(pi)r^2 + 2(pi)rh
The union of A and B.

23. In a regular polygon with n sides - the formula for the sum of interior angles
A 30-60-90 triangle.
(n-2) x 180
IV
No - only like radicals can be added.

24. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
The sum of digits is divisible by 9.
20.5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
2

25. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
1/(x^y)
A reflection about the origin.
The two xes after factoring.
A set with a number of elements which can be counted.

26. What are the integers?
All numbers multiples of 1.
(p + q)/5
Cd
2 & 3/7

27. Which is greater? 200x^295 or 10x^294?
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
9 & 6/7
Relationship cannot be determined (what if x is negative?)
N! / (n-k)!

28. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
10! / 3!(10-3)! = 120
The longest arc between points A and B on a circle'S diameter.
$11 -448
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

29. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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)
y = (x + 5)/2

30. When the 'a' in a parabola is positive....
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
An isosceles right triangle.
41 - 43 - 47
The curve opens upward and the vertex is the minimal point on the graph.

31. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
75:11
Arc length = (n/360) x pi(2r) where n is the number of degrees.
90
4:5

32. x^6 / x^3
37.5%
Divide by 100.
Factors are few - multiples are many.
x^(6-3) = x^3

33. A number is divisible by 3 if ...
Triangles with same measure and same side lengths.
2 & 3/7
12! / 5!7! = 792
The sum of its digits is divisible by 3.

34. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
(base*height) / 2
6 : 1 : 2
A subset.
8

35. (a^-1)/a^5
Two equal sides and two equal angles.
1/a^6
N! / (n-k)!
The sum of digits is divisible by 9.

36. Legs 6 - 8. Hypotenuse?
Area of the base X height = (pi)hr^2
Factors are few - multiples are many.
10
500

37. What is a minor arc?

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38. 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?
(a - b)^2
x(x - y + 1)
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
10! / 3!(10-3)! = 120

39. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
48
130pi
(b + c)
The sum of its digits is divisible by 3.

40. How many sides does a hexagon have?
6 : 1 : 2
Pi is the ratio of a circle'S circumference to its diameter.
6
1

41. What is the sum of the angles of a triangle?
A subset.
180 degrees
The union of A and B.
An isosceles right triangle.

42. When the 'a' in the parabola is negative...
The curve opens downward and the vertex is the maximum point on the graph.
20.5
5
N! / (k!)(n-k)!

43. How to find the area of a sector?
$3 -500 in the 9% and $2 -500 in the 7%.
Angle/360 x (pi)r^2
72
27^(-4)

44. What is the percent formula?
I
1
The steeper the slope.
Part = Percent X Whole

45. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
1/(x^y)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
12sqrt2

46. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
A reflection about the origin.
12sqrt2
13pi / 2

47. What is the slope of a vertical line?

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48. (-1)^3 =
1
Cd
x^(2(4)) =x^8 = (x^4)^2
Undefined - because we can'T divide by 0.

49. Formula of rectangle where l increases by 20% and w decreases by 20%
Move the decimal point to the right x places
1/(x^y)
(b + c)
x= (1.2)(.8)lw

50. Which is greater? 27^(-4) or 9^(-8)
48
27^(-4)
x= (1.2)(.8)lw
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).