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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. 20<all primes<30
The shortest arc between points A and B on a circle'S diameter.
5
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)
23 - 29

2. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
6 : 1 : 2
Undefined - because we can'T divide by 0.
The steeper the slope.

3. What is a piecewise equation?
1:1:sqrt2
41 - 43 - 47
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
A subset.

4. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
90 degrees
87.5%
Undefined - because we can'T divide by 0.
61 - 67

5. sqrt 2(sqrt 6)=
A = I (1 + rt)
Sqrt 12
Undefined
(p + q)/5

6. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
(a - b)^2
III
4096

7. The objects in a set are called two names:
Members or elements
Yes. [i.e. f(x) = x^2 - 1
12.5%
0

8. What is a central angle?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Sqrt 12
A central angle is an angle formed by 2 radii.
1:sqrt3:2

9. What are the integers?
2^9 / 2 = 256
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
All numbers multiples of 1.
IV

10. What is a set with no members called?
Area of the base X height = (pi)hr^2
The sum of its digits is divisible by 3.
3
The empty set - denoted by a circle with a diagonal through it.

11. What is the slope of a vertical line?

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12. Formula to find a circle'S circumference from its radius?
The set of input values for a function.
C = 2(pi)r
A set with no members - denoted by a circle with a diagonal through it.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

13. To multiply a number by 10^x
1
Move the decimal point to the right x places
A subset.
6

14. Evaluate (4^3)^2
12! / 5!7! = 792
12.5%
4096
(a - b)(a + b)

15. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
12.5%
A chord is a line segment joining two points on a circle.

16. (-1)^2 =
The sum of digits is divisible by 9.
1
72
The curve opens downward and the vertex is the maximum point on the graph.

17. What are the irrational numbers?

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18. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
A reflection about the axis.
Members or elements
A subset.

19. In a regular polygon with n sides - the formula for the sum of interior angles
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x^(4+7) = x^11
(n-2) x 180
5

20. 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?
Sqrt 12
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
41 - 43 - 47

21. Simplify the expression (p^2 - q^2)/ -5(q - p)
The set of input values for a function.
Members or elements
(p + q)/5
F(x-c)

22. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
75:11
61 - 67
4.25 - 6 - 22
Infinite.

23. Length of an arc of a circle?
Angle/360 x 2(pi)r
Angle/360 x (pi)r^2
4a^2(b)
G(x) = {x}

24. Which quadrant is the upper left hand?
1
II
Diameter(Pi)
The empty set - denoted by a circle with a diagonal through it.

25. P and r are factors of 100. What is greater - pr or 100?
The longest arc between points A and B on a circle'S diameter.
37.5%
Indeterminable.
Divide by 100.

26. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
52
6
The interesection of A and B.

27. How to find the area of a sector?
10! / (10-3)! = 720
Sqrt 12
Angle/360 x (pi)r^2
G(x) = {x}

28. How to determine percent decrease?
1/2 times 7/3
Angle/360 x (pi)r^2
0
(amount of decrease/original price) x 100%

29. What are the roots of the quadrinomial x^2 + 2x + 1?
Infinite.
9 & 6/7
III
The two xes after factoring.

30. A number is divisible by 6 if...
1
83.333%
Divide by 100.
Its divisible by 2 and by 3.

31. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
9 & 6/7
x^(4+7) = x^11
11 - 13 - 17 - 19
A circle centered at -2 - -2 with radius 3.

32. What is the absolute value function?
G(x) = {x}
A 30-60-90 triangle.
No - the input value has exactly one output.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

33. The larger the absolute value of the slope...
87.5%
The steeper the slope.
Its negative reciprocal. (-b/a)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

34. x^(-y)=
1/(x^y)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The empty set - denoted by a circle with a diagonal through it.
$11 -448

35. Which quadrant is the lower left hand?
III
Undefined - because we can'T divide by 0.
An angle which is supplementary to an interior angle.
The curve opens downward and the vertex is the maximum point on the graph.

36. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
...multiply by 100.
2sqrt6
C = (pi)d
A grouping of the members within a set based on a shared characteristic.

37. The slope of a line perpendicular to (a/b)?
Its negative reciprocal. (-b/a)
87.5%
31 - 37
Angle/360 x 2(pi)r

38. If the two sides of a triangle are unequal then the longer side...
A = I (1 + rt)
5
The two xes after factoring.
Lies opposite the greater angle

39. To convert a percent to a fraction....
9 : 25
Divide by 100.
6
4:5

40. 10^6 has how many zeroes?
6
(a + b)^2
67 - 71 - 73
Infinite.

41. How many multiples does a given number have?
Infinite.
90 degrees
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)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

42. 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?
27^(-4)
441000 = 1 10 10 10 21 * 21
An angle which is supplementary to an interior angle.
2.592 kg

43. Pi is a ratio of what to what?

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44. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Undefined
Diameter(Pi)
Its last two digits are divisible by 4.
70

45. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Lies opposite the greater angle
A reflection about the origin.
The sum of digits is divisible by 9.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

46. 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?
The set of elements which can be found in either A or B.
Cd
48
61 - 67

47. Max and Min lengths for a side of a triangle?
x= (1.2)(.8)lw
Its last two digits are divisible by 4.
13pi / 2
The third side is greater than the difference and less than the sum.

48. Is 0 even or odd?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
10! / 3!(10-3)! = 120
Even
The steeper the slope.

49. What is the area of a regular hexagon with side 6?
The set of output values for a function.
Yes - like radicals can be added/subtracted.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(amount of increase/original price) x 100%

50. What is the set of elements found in both A and B?
Part = Percent X Whole
12.5%
x^(2(4)) =x^8 = (x^4)^2
The interesection of A and B.