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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. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
2
A set with a number of elements which can be counted.
The longest arc between points A and B on a circle'S diameter.
Cd

2. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
Two angles whose sum is 180.
x^(2(4)) =x^8 = (x^4)^2
87.5%

3. What is the side length of an equilateral triangle with altitude 6?
1/(x^y)
Divide by 100.
x^(4+7) = x^11
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...

4. Formula to calculate arc length?
72
Arc length = (n/360) x pi(2r) where n is the number of degrees.
180 degrees
Area of the base X height = (pi)hr^2

5. 7/8 in percent?
Angle/360 x 2(pi)r
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
87.5%
90

6. How to find the area of a sector?
Angle/360 x (pi)r^2
413.03 / 10^4 (move the decimal point 4 places to the left)
55%
6

7. The objects in a set are called two names:
Triangles with same measure and same side lengths.
Members or elements
(a - b)^2
x= (1.2)(.8)lw

8. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
4096
(b + c)
8
Yes - like radicals can be added/subtracted.

9. 10<all primes<20
Its divisible by 2 and by 3.
4a^2(b)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
11 - 13 - 17 - 19

10. 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?
Angle/360 x 2(pi)r
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
48
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. Which is greater? 200x^295 or 10x^294?
441000 = 1 10 10 10 21 * 21
Relationship cannot be determined (what if x is negative?)
130pi
61 - 67

12. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
61 - 67
2(pi)r^2 + 2(pi)rh
The greatest value minus the smallest.

13. How many sides does a hexagon have?
x^(6-3) = x^3
67 - 71 - 73
6
An infinite set.

14. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
1.0843 X 10^11
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
20.5
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

15. How many 3-digit positive integers are even and do not contain the digit 4?
27^(-4)
288 (8 9 4)
A reflection about the axis.
31 - 37

16. What is a major arc?

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17. Describe the relationship between the graphs of x^2 and (1/2)x^2
53 - 59
The shortest arc between points A and B on a circle'S diameter.
27^(-4)
The second graph is less steep.

18. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
9 & 6/7

19. What is a subset?
72
The curve opens upward and the vertex is the minimal point on the graph.
The second graph is less steep.
A grouping of the members within a set based on a shared characteristic.

20. In a regular polygon with n sides - the formula for the sum of interior angles
90 degrees
A reflection about the origin.
(n-2) x 180
A set with a number of elements which can be counted.

21. What is the ratio of the sides of an isosceles right triangle?
IV
1:1:sqrt2
A 30-60-90 triangle.
(a - b)(a + b)

22. Formula of rectangle where l increases by 20% and w decreases by 20%
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
37.5%
(amount of increase/original price) x 100%
x= (1.2)(.8)lw

23. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
The set of elements which can be found in either A or B.
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)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
70

24. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
10! / (10-3)! = 720
A set with a number of elements which can be counted.
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.
41 - 43 - 47

25. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
3 - -3
(a - b)(a + b)
(base*height) / 2
A circle centered at -2 - -2 with radius 3.

26. (-1)^2 =
Angle/360 x (pi)r^2
The set of elements found in both A and B.
1
Two angles whose sum is 180.

27. Pi is a ratio of what to what?

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28. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The steeper the slope.
2 & 3/7
Members or elements

29. Formula to find a circle'S circumference from its diameter?
All numbers multiples of 1.
C = (pi)d
23 - 29
A 30-60-90 triangle.

30. What is a minor arc?

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31. How to find the diagonal of a rectangular solid?
.0004809 X 10^11
10! / (10-3)! = 720
The second graph is less steep.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

32. Which quadrant is the lower left hand?
Two equal sides and two equal angles.
Two angles whose sum is 180.
A 30-60-90 triangle.
III

33. How many multiples does a given number have?
Two angles whose sum is 180.
No - the input value has exactly one output.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Infinite.

34. Define an 'expression'.
67 - 71 - 73
The interesection of A and B.
Move the decimal point to the right x places
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)

35. 4.809 X 10^7 =
(base*height) / 2
.0004809 X 10^11
The greatest value minus the smallest.
5 OR -5

36. What is an exterior angle?
37.5%
True
An angle which is supplementary to an interior angle.
$3 -500 in the 9% and $2 -500 in the 7%.

37. 20<all primes<30
Sqrt 12
23 - 29
No - the input value has exactly one output.
The direction of the inequality is reversed.

38. 10^6 has how many zeroes?
87.5%
No - the input value has exactly one output.
6
x^(2(4)) =x^8 = (x^4)^2

39. What is the ratio of the sides of a 30-60-90 triangle?
A set with no members - denoted by a circle with a diagonal through it.
1:sqrt3:2
41 - 43 - 47
II

40. What is the graph of f(x) shifted downward c units or spaces?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
5 OR -5
4.25 - 6 - 22
F(x) - c

41. What is an arc of a circle?
441000 = 1 10 10 10 21 * 21
A subset.
An arc is a portion of a circumference of a circle.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

42. Find the surface area of a cylinder with radius 3 and height 12.
90pi
Factors are few - multiples are many.
87.5%
70

43. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
130pi
The greatest value minus the smallest.
Cd

44. What are congruent triangles?
The sum of digits is divisible by 9.
Triangles with same measure and same side lengths.
$3 -500 in the 9% and $2 -500 in the 7%.
No - only like radicals can be added.

45. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Ax^2 + bx + c where a -b and c are constants and a /=0
All numbers multiples of 1.
$11 -448
3

46. What is a piecewise equation?
Part = Percent X Whole
441000 = 1 10 10 10 21 * 21
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Indeterminable.

47. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
The sum of its digits is divisible by 3.
A = pi(r^2)
1/a^6

48. Max and Min lengths for a side of a triangle?
1.7
The third side is greater than the difference and less than the sum.
Two equal sides and two equal angles.
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)

49. Length of an arc of a circle?
Divide by 100.
5
Angle/360 x 2(pi)r
x^(4+7) = x^11

50. What is the 'Solution' for a set of inequalities.
The overlapping sections.
y = (x + 5)/2
8
12sqrt2