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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. Write 10 -843 X 10^7 in scientific notation
True
1.0843 X 10^11
75:11
6

2. What is the order of operations?
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
C = 2(pi)r
10! / 3!(10-3)! = 120
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

3. Which quandrant is the lower right hand?
IV
Two angles whose sum is 90.
II
10

4. 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?
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
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.

5. 0^0
Undefined
8
An infinite set.
4:5

6. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
The union of A and B.
2sqrt6
Yes - like radicals can be added/subtracted.
11 - 13 - 17 - 19

7. Find the surface area of a cylinder with radius 3 and height 12.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
2^9 / 2 = 256
90pi
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

8. Evaluate 4/11 + 11/12
1:1:sqrt2
1
1 & 37/132
441000 = 1 10 10 10 21 * 21

9. 70 < all primes< 80
N! / (n-k)!
71 - 73 - 79
The union of A and B.
III

10. What is a piecewise equation?
Two equal sides and two equal angles.
55%
C = (pi)d
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

11. What is the name of set with a number of elements which cannot be counted?
(a - b)(a + b)
(a - b)(a + b)
18
An infinite set.

12. 1/2 divided by 3/7 is the same as
Divide by 100.
48
72
1/2 times 7/3

13. The objects in a set are called two names:
A central angle is an angle formed by 2 radii.
A = I (1 + rt)
Members or elements
1

14. 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)
3sqrt4
(a - b)^2
y = (x + 5)/2

15. 10<all primes<20
(a + b)^2
(a - b)(a + b)
6
11 - 13 - 17 - 19

16. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
x^(2(4)) =x^8 = (x^4)^2
Divide by 100.
An isosceles right triangle.
The set of input values for a function.

17. What is the 'union' of A and B?
x^(2(4)) =x^8 = (x^4)^2
Cd
The set of elements which can be found in either A or B.
The sum of its digits is divisible by 3.

18. a^2 - 2ab + b^2
(a - b)^2
y = 2x^2 - 3
12sqrt2
Two equal sides and two equal angles.

19. Circumference of a circle?
0
Diameter(Pi)
1.0843 X 10^11
(a - b)(a + b)

20. What is the measure of an exterior angle of a regular pentagon?
F(x) + c
Diameter(Pi)
The second graph is less steep.
72

21. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
(a - b)(a + b)
Its negative reciprocal. (-b/a)
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)

22. a^0 =
1
67 - 71 - 73
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A central angle is an angle formed by 2 radii.

23. Convert 0.7% to a fraction.
A set with no members - denoted by a circle with a diagonal through it.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
7 / 1000
A circle centered on the origin with radius 8.

24. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
A set with a number of elements which can be counted.
y = (x + 5)/2
IV
N! / (k!)(n-k)!

25. What is the 'Range' of a function?
4a^2(b)
20.5
The set of output values for a function.
An expression with just one term (-6x - 2a^2)

26. What is the sum of the angles of a triangle?
The longest arc between points A and B on a circle'S diameter.
Diameter(Pi)
180 degrees
True

27. What is the surface area of a cylinder with radius 5 and height 8?
$3 -500 in the 9% and $2 -500 in the 7%.
The set of elements found in both A and B.
(a + b)^2
130pi

28. The slope of a line perpendicular to (a/b)?
(a + b)^2
N! / (k!)(n-k)!
55%
Its negative reciprocal. (-b/a)

29. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
Infinite.
Lies opposite the greater angle
3
Divide by 100.

30. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1/(x^y)
The steeper the slope.

31. What does the graph x^2 + y^2 = 64 look like?
6
The two xes after factoring.
A circle centered on the origin with radius 8.
A = I (1 + rt)

32. 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?
Even
441000 = 1 10 10 10 21 * 21
N! / (k!)(n-k)!
C = 2(pi)r

33. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Undefined
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1
20.5

34. The ratio of the areas of two similar polygons is ...
Its divisible by 2 and by 3.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
I
... the square of the ratios of the corresponding sides.

35. P and r are factors of 100. What is greater - pr or 100?
1:1:sqrt2
83.333%
Indeterminable.
90 degrees

36. What is the graph of f(x) shifted upward c units or spaces?
The point of intersection of the systems.
Area of the base X height = (pi)hr^2
y = (x + 5)/2
F(x) + c

37. 25^(1/2) or sqrt. 25 =
C = 2(pi)r
Yes. [i.e. f(x) = x^2 - 1
37.5%
5 OR -5

38. Whats the difference between factors and multiples?
The sum of digits is divisible by 9.
y = 2x^2 - 3
6 : 1 : 2
Factors are few - multiples are many.

39. Pi is a ratio of what to what?

40. What is a minor arc?

41. What is the 'Solution' for a system of linear equations?
C = 2(pi)r
The second graph is less steep.
(p + q)/5
The point of intersection of the systems.

42. (12sqrt15) / (2sqrt5) =
A tangent is a line that only touches one point on the circumference of a circle.
A circle centered at -2 - -2 with radius 3.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1:sqrt3:2

43. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
G(x) = {x}
41 - 43 - 47
A tangent is a line that only touches one point on the circumference of a circle.

44. What is a chord of a circle?
(amount of decrease/original price) x 100%
Diameter(Pi)
A chord is a line segment joining two points on a circle.
1

45. 8.84 / 5.2
0
Part = Percent X Whole
C = 2(pi)r
1.7

46. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
1
8
(b + c)
1

47. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
67 - 71 - 73
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The union of A and B.

48. To convert a percent to a fraction....
Divide by 100.
12sqrt2
441000 = 1 10 10 10 21 * 21
1:1:sqrt2

49. x^2 = 9. What is the value of x?
An expression with just one term (-6x - 2a^2)
The shortest arc between points A and B on a circle'S diameter.
3 - -3
83.333%

50. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
Its last two digits are divisible by 4.
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)
The set of output values for a function.