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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. 1/8 in percent?
Sqrt 12
5 OR -5
12.5%
The second graph is less steep.

2. What is a set with no members called?
(amount of decrease/original price) x 100%
75:11
The empty set - denoted by a circle with a diagonal through it.
288 (8 9 4)

3. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
83.333%
55%

4. What is the ratio of the sides of a 30-60-90 triangle?
52
5
The set of elements which can be found in either A or B.
1:sqrt3:2

5. 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?
500
70
4.25 - 6 - 22
23 - 29

6. Which quadrant is the upper left hand?
II
70
From northeast - counterclockwise. I - II - III - IV
Infinite.

7. What are the irrational numbers?

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8. When the 'a' in the parabola is negative...
The shortest arc between points A and B on a circle'S diameter.
Divide by 100.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The curve opens downward and the vertex is the maximum point on the graph.

9. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
1/a^6
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.
The shortest arc between points A and B on a circle'S diameter.

10. Describe the relationship between 3x^2 and 3(x - 1)^2
1
6 : 1 : 2
Undefined - because we can'T divide by 0.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

11. 0^0
Undefined
(a - b)^2
90 degrees
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.

12. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
An infinite set.
20.5
1

13. Define a 'monomial'
48
An expression with just one term (-6x - 2a^2)
A chord is a line segment joining two points on a circle.
Indeterminable.

14. What is the 'Range' of a function?
The set of output values for a function.
F(x) + c
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The empty set - denoted by a circle with a diagonal through it.

15. If the two sides of a triangle are unequal then the longer side...
(a - b)^2
The sum of digits is divisible by 9.
C = 2(pi)r
Lies opposite the greater angle

16. The ratio of the areas of two similar polygons is ...
75:11
Two equal sides and two equal angles.
... the square of the ratios of the corresponding sides.
180 degrees

17. What is an exterior angle?
0
An angle which is supplementary to an interior angle.
...multiply by 100.
F(x + c)

18. To convert a percent to a fraction....
A set with no members - denoted by a circle with a diagonal through it.
62.5%
Divide by 100.
Its negative reciprocal. (-b/a)

19. Legs 6 - 8. Hypotenuse?
10
...multiply by 100.
(amount of increase/original price) x 100%
1

20. 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?
II
48
Yes. [i.e. f(x) = x^2 - 1
Cd

21. (x^2)^4
8
The longest arc between points A and B on a circle'S diameter.
x^(2(4)) =x^8 = (x^4)^2
10! / 3!(10-3)! = 120

22. Formula for the area of a circle?
Sector area = (n/360) X (pi)r^2
180
180 degrees
A = pi(r^2)

23. What is a parabola?
12! / 5!7! = 792
Ax^2 + bx + c where a -b and c are constants and a /=0
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.

24. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Two angles whose sum is 90.
2.592 kg
28. n = 8 - k = 2. n! / k!(n-k)!
A grouping of the members within a set based on a shared characteristic.

25. Convert 0.7% to a fraction.
18
7 / 1000
87.5%
Sector area = (n/360) X (pi)r^2

26. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
53 - 59
10
A reflection about the axis.
Two angles whose sum is 180.

27. Which quadrant is the upper right hand?
The set of output values for a function.
I
C = 2(pi)r
A chord is a line segment joining two points on a circle.

28. x^2 = 9. What is the value of x?
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...
A set with a number of elements which can be counted.
3
3 - -3

29. What is a central angle?
10! / (10-3)! = 720
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 + b)^2
A central angle is an angle formed by 2 radii.

30. P and r are factors of 100. What is greater - pr or 100?
288 (8 9 4)
A = I (1 + rt)
Indeterminable.
(a + b)^2

31. 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?
Sqrt 12
75:11
Even
5 OR -5

32. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
27^(-4)
Infinite.
Two equal sides and two equal angles.
3

33. What is the set of elements which can be found in either A or B?
1
III
A circle centered on the origin with radius 8.
The union of A and B.

34. What is the formula for computing simple interest?
A = I (1 + rt)
1
0
(a - b)(a + b)

35. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Its negative reciprocal. (-b/a)
180
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1

36. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Move the decimal point to the right x places
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
All numbers multiples of 1.
3

37. What are the smallest three prime numbers greater than 65?
The set of elements found in both A and B.
Even
67 - 71 - 73
41 - 43 - 47

38. Describe the relationship between the graphs of x^2 and (1/2)x^2
Undefined
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
441000 = 1 10 10 10 21 * 21
The second graph is less steep.

39. What is a finite set?
A circle centered at -2 - -2 with radius 3.
83.333%
A set with a number of elements which can be counted.
4096

40. What is the name for a grouping of the members within a set based on a shared characteristic?
37.5%
6 : 1 : 2
A subset.
3sqrt4

41. What is the graph of f(x) shifted upward c units or spaces?
Area of the base X height = (pi)hr^2
4725
1
F(x) + c

42. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
A reflection about the axis.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
2
7 / 1000

43. What is the graph of f(x) shifted right c units or spaces?
The two xes after factoring.
F(x-c)
7 / 1000
90

44. Circumference of a circle?
62.5%
18
A 30-60-90 triangle.
Diameter(Pi)

45. Evaluate 4/11 + 11/12
The longest arc between points A and B on a circle'S diameter.
The overlapping sections.
1 & 37/132
41 - 43 - 47

46. What is the measure of an exterior angle of a regular pentagon?
90
The set of elements which can be found in either A or B.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
72

47. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
52
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A = I (1 + rt)
8

48. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
9 : 25
y = 2x^2 - 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)
The shortest arc between points A and B on a circle'S diameter.

49. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
12.5%
A grouping of the members within a set based on a shared characteristic.

50. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
413.03 / 10^4 (move the decimal point 4 places to the left)
Yes. [i.e. f(x) = x^2 - 1
N! / (n-k)!