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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. The larger the absolute value of the slope...
F(x) - c
10! / 3!(10-3)! = 120
True
The steeper the slope.

2. a^2 - 2ab + b^2
0
(a - b)^2
G(x) = {x}
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)

3. What is the 'union' of A and B?
41 - 43 - 47
A reflection about the origin.
The set of elements which can be found in either A or B.
The longest arc between points A and B on a circle'S diameter.

4. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
... the square of the ratios of the corresponding sides.
A = pi(r^2)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

5. Surface area for a cylinder?
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)
2(pi)r^2 + 2(pi)rh
13
The overlapping sections.

6. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
90pi
(a - b)(a + b)
The overlapping sections.

7. What is the maximum value for the function g(x) = (-2x^2) -1?
II
Pi is the ratio of a circle'S circumference to its diameter.
130pi
1

8. 5/6 in percent?
2 & 3/7
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
83.333%

9. Length of an arc of a circle?
3 - -3
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Angle/360 x 2(pi)r
1

10. Describe the relationship between 3x^2 and 3(x - 1)^2
II
13pi / 2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A = pi(r^2)

11. What is an isoceles triangle?
I
Two equal sides and two equal angles.
(b + c)
2

12. 40 < all primes<50
...multiply by 100.
70
1
41 - 43 - 47

13. What is a chord of a circle?
12sqrt2
A chord is a line segment joining two points on a circle.
True
III

14. What is the side length of an equilateral triangle with altitude 6?
An expression with just one term (-6x - 2a^2)
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...
(b + c)
x= (1.2)(.8)lw

15. What is the measure of an exterior angle of a regular pentagon?
72
Move the decimal point to the right x places
90 degrees
y = 2x^2 - 3

16. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
No - the input value has exactly one output.
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)

17. Max and Min lengths for a side of a triangle?
F(x + c)
72
The third side is greater than the difference and less than the sum.
A chord is a line segment joining two points on a circle.

18. Which quandrant is the lower right hand?
90 degrees
IV
Divide by 100.
A grouping of the members within a set based on a shared characteristic.

19. A number is divisible by 6 if...
Infinite.
Its divisible by 2 and by 3.
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
5

20. Formula for the area of a circle?
The set of elements which can be found in either A or B.
A = pi(r^2)
A 30-60-90 triangle.
When the function is not defined for all real numbers -; only a subset of the real numbers.

21. a^2 + 2ab + b^2
F(x + c)
(a + b)^2
41 - 43 - 47
4:5

22. To multiply a number by 10^x
1
70
Move the decimal point to the right x places
N! / (k!)(n-k)!

23. 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?
3/2 - 5/3
441000 = 1 10 10 10 21 * 21
31 - 37
(a - b)(a + b)

24. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Even
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

25. What are the irrational numbers?

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26. Define a 'Term' -
3/2 - 5/3
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)
N! / (k!)(n-k)!
y = 2x^2 - 3

27. (12sqrt15) / (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
2.592 kg
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Sector area = (n/360) X (pi)r^2

28. 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?
3
A grouping of the members within a set based on a shared characteristic.
75:11
1

29. Formula to find a circle'S circumference from its diameter?
20.5
7 / 1000
180
C = (pi)d

30. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Indeterminable.
A reflection about the axis.
Lies opposite the greater angle
... the square of the ratios of the corresponding sides.

31. Legs: 3 - 4. Hypotenuse?
(amount of decrease/original price) x 100%
5
4.25 - 6 - 22
II

32. How to find the circumference of a circle which circumscribes a square?
C = (pi)d
(p + q)/5
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
4725

33. Volume for a cylinder?
1
Area of the base X height = (pi)hr^2
(a + b)^2
From northeast - counterclockwise. I - II - III - IV

34. What is the 'domain' of a function?
The shortest arc between points A and B on a circle'S diameter.
The set of input values for a function.
A tangent is a line that only touches one point on the circumference of a circle.
6 : 1 : 2

35. A number is divisible by 9 if...
Cd
The sum of digits is divisible by 9.
1:1:sqrt2
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.

36. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
12sqrt2
A central angle is an angle formed by 2 radii.
An isosceles right triangle.
4725

37. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
10! / 3!(10-3)! = 120
(p + q)/5
0
2

38. What is the graph of f(x) shifted right c units or spaces?
The interesection of A and B.
N! / (k!)(n-k)!
N! / (n-k)!
F(x-c)

39. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
16.6666%
All numbers multiples of 1.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x^(2(4)) =x^8 = (x^4)^2

40. Formula for the area of a sector of a circle?
All numbers multiples of 1.
An infinite set.
Its divisible by 2 and by 3.
Sector area = (n/360) X (pi)r^2

41. 2sqrt4 + sqrt4 =
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
3sqrt4
(a - b)^2
Area of the base X height = (pi)hr^2

42. (-1)^2 =
.0004809 X 10^11
180 degrees
1
The set of elements which can be found in either A or B.

43. What are complementary angles?
The shortest arc between points A and B on a circle'S diameter.
Two angles whose sum is 90.
The set of elements found in both A and B.
Its last two digits are divisible by 4.

44. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
The sum of digits is divisible by 9.
N! / (k!)(n-k)!
75:11
1

45. What is the name of set with a number of elements which cannot be counted?
72
C = 2(pi)r
An infinite set.
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)

46. Number of degrees in a triangle
Angle/360 x (pi)r^2
130pi
180
F(x) - c

47. What is the ratio of the sides of a 30-60-90 triangle?
An arc is a portion of a circumference of a circle.
I
500
1:sqrt3:2

48. What does scientific notation mean?
Yes - like radicals can be added/subtracted.
A circle centered on the origin with radius 8.
3sqrt4
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

49. Factor a^2 + 2ab + b^2
G(x) = {x}
Sqrt 12
(a - b)(a + b)
(a + b)^2

50. Convert 0.7% to a fraction.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Infinite.
The set of output values for a function.
7 / 1000