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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. To convert a percent to a fraction....
1
Divide by 100.
23 - 29
Undefined

2. Define a 'Term' -
3sqrt4
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)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
90 degrees

3. a^2 - b^2
Indeterminable.
All numbers multiples of 1.
Yes. [i.e. f(x) = x^2 - 1
(a - b)(a + b)

4. 2sqrt4 + sqrt4 =
No - the input value has exactly one output.
3sqrt4
Triangles with same measure and same side lengths.
.0004809 X 10^11

5. What are 'Supplementary angles?'
37.5%
10! / 3!(10-3)! = 120
Yes - like radicals can be added/subtracted.
Two angles whose sum is 180.

6. Evaluate 3& 2/7 / 1/3
1.7
Area of the base X height = (pi)hr^2
9 & 6/7
An isosceles right triangle.

7. What number between 70 & 75 - inclusive - has the greatest number of factors?
(a + b)^2
No - the input value has exactly one output.
72
Diameter(Pi)

8. What does scientific notation mean?
A circle centered on the origin with radius 8.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A circle centered at -2 - -2 with radius 3.
x^(6-3) = x^3

9. What are complementary angles?
Two angles whose sum is 90.
441000 = 1 10 10 10 21 * 21
Its last two digits are divisible by 4.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

10. Max and Min lengths for a side of a triangle?
(a + b)^2
72
4a^2(b)
The third side is greater than the difference and less than the sum.

11. Order of quadrants:
A reflection about the axis.
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
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)
From northeast - counterclockwise. I - II - III - IV

12. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
A chord is a line segment joining two points on a circle.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
13pi / 2

13. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
(a - b)(a + b)
2
1 & 37/132
...multiply by 100.

14. 5/6 in percent?
83.333%
1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The second graph is less steep.

15. Which quadrant is the lower left hand?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Angle/360 x (pi)r^2
An infinite set.
III

16. How to find the circumference of a circle which circumscribes a square?
The curve opens upward and the vertex is the minimal point on the graph.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
.0004809 X 10^11
N! / (k!)(n-k)!

17. When does a function automatically have a restricted domain (2)?
An isosceles right triangle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1/2 times 7/3
(a - b)^2

18. 1/6 in percent?
9 : 25
16.6666%
The point of intersection of the systems.
An expression with just one term (-6x - 2a^2)

19. What is the ratio of the sides of an isosceles right triangle?
(base*height) / 2
When the function is not defined for all real numbers -; only a subset of the real numbers.
True
1:1:sqrt2

20. When the 'a' in a parabola is positive....
x= (1.2)(.8)lw
F(x + c)
Relationship cannot be determined (what if x is negative?)
The curve opens upward and the vertex is the minimal point on the graph.

21. Formula for the area of a circle?
10
All numbers multiples of 1.
A = pi(r^2)
The set of elements which can be found in either A or B.

22. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
x^(4+7) = x^11
1
G(x) = {x}
An angle which is supplementary to an interior angle.

23. What is the graph of f(x) shifted upward c units or spaces?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
F(x) + c
An arc is a portion of a circumference of a circle.
Part = Percent X Whole

24. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
Its last two digits are divisible by 4.
Triangles with same measure and same side lengths.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

25. What is the intersection of A and B?
Yes - like radicals can be added/subtracted.
The point of intersection of the systems.
(p + q)/5
The set of elements found in both A and B.

26. What is the measure of an exterior angle of a regular pentagon?
1/a^6
72
II
Undefined - because we can'T divide by 0.

27. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The curve opens downward and the vertex is the maximum point on the graph.
90pi
A = I (1 + rt)
8

28. What are congruent triangles?
The curve opens downward and the vertex is the maximum point on the graph.
A subset.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Triangles with same measure and same side lengths.

29. 60 < all primes <70
A circle centered at -2 - -2 with radius 3.
61 - 67
An infinite set.
130pi

30. Simplify the expression (p^2 - q^2)/ -5(q - p)
(a - b)^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(p + q)/5
A = pi(r^2)

31. 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?
G(x) = {x}
(a + b)^2
441000 = 1 10 10 10 21 * 21
x^(4+7) = x^11

32. 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)?
y = (x + 5)/2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1
(a + b)^2

33. 5/8 in percent?
52
130pi
62.5%
1

34. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
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)
A chord is a line segment joining two points on a circle.
Cd

35. x^4 + x^7 =
x^(4+7) = x^11
A reflection about the axis.
y = 2x^2 - 3
90 degrees

36. What are the real numbers?
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)
31 - 37
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)
An angle which is supplementary to an interior angle.

37. What is the 'Solution' for a system of linear equations?
1/2 times 7/3
The point of intersection of the systems.
C = (pi)d
(amount of increase/original price) x 100%

38. Which quadrant is the upper right hand?
2
Angle/360 x 2(pi)r
1:sqrt3:2
I

39. What percent of 40 is 22?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
55%
A chord is a line segment joining two points on a circle.
The set of output values for a function.

40. 30< all primes<40
4a^2(b)
413.03 / 10^4 (move the decimal point 4 places to the left)
11 - 13 - 17 - 19
31 - 37

41. sqrt 2(sqrt 6)=
x= (1.2)(.8)lw
180
Sqrt 12
41 - 43 - 47

42. P and r are factors of 100. What is greater - pr or 100?
(base*height) / 2
A central angle is an angle formed by 2 radii.
Indeterminable.
The objects within a set.

43. 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 - b)(a + b)
Two angles whose sum is 180.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
75:11

44. What is a major arc?

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45. The perimeter of a square is 48 inches. The length of its diagonal is:
Indeterminable.
12sqrt2
When the function is not defined for all real numbers -; only a subset of the real numbers.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

46. Legs 6 - 8. Hypotenuse?
6 : 1 : 2
x^(2(4)) =x^8 = (x^4)^2
10
10! / (10-3)! = 720

47. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
288 (8 9 4)
12! / 5!7! = 792
Lies opposite the greater angle
12sqrt2

48. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Infinite.
1/a^6
13pi / 2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

49. 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?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
67 - 71 - 73
A central angle is an angle formed by 2 radii.
52

50. How to find the diagonal of a rectangular solid?
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)
90pi
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
4a^2(b)