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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. Which quadrant is the upper left hand?
II
441000 = 1 10 10 10 21 * 21
Relationship cannot be determined (what if x is negative?)
1:1:sqrt2

2. x^6 / x^3
$11 -448
x^(6-3) = x^3
Angle/360 x (pi)r^2
All numbers multiples of 1.

3. Solve the quadratic equation ax^2 + bx + c= 0
The set of elements found in both A and B.
13pi / 2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

4. How to determine percent increase?
(amount of increase/original price) x 100%
No - the input value has exactly one output.
Members or elements
G(x) = {x}

5. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4096
Area of the base X height = (pi)hr^2
4:5
The set of output values for a function.

6. The ratio of the areas of two similar polygons is ...
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.
F(x + c)
Indeterminable.
... the square of the ratios of the corresponding sides.

7. What is the measure of an exterior angle of a regular pentagon?
72
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
10! / 3!(10-3)! = 120
48

8. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
1.7
441000 = 1 10 10 10 21 * 21
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

9. (x^2)^4
A set with a number of elements which can be counted.
The set of elements which can be found in either A or B.
x^(2(4)) =x^8 = (x^4)^2
Even

10. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
180
The curve opens upward and the vertex is the minimal point on the graph.
87.5%

11. Evaluate 3& 2/7 / 1/3
2
7 / 1000
The overlapping sections.
9 & 6/7

12. Simplify the expression [(b^2 - c^2) / (b - c)]
Lies opposite the greater angle
A reflection about the axis.
True
(b + c)

13. Factor x^2 - xy + x.
Sector area = (n/360) X (pi)r^2
The curve opens downward and the vertex is the maximum point on the graph.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
x(x - y + 1)

14. Define a 'Term' -
413.03 / 10^4 (move the decimal point 4 places to the left)
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 reflection about the axis.
72

15. 7/8 in percent?
Infinite.
The direction of the inequality is reversed.
87.5%
The curve opens upward and the vertex is the minimal point on the graph.

16. The larger the absolute value of the slope...
52
The objects within a set.
A set with no members - denoted by a circle with a diagonal through it.
The steeper the slope.

17. Area of a triangle?
The set of output values for a function.
8
A tangent is a line that only touches one point on the circumference of a circle.
(base*height) / 2

18. What is the graph of f(x) shifted left c units or spaces?
A reflection about the axis.
F(x + c)
Even
180 degrees

19. 10<all primes<20
Two angles whose sum is 180.
Divide by 100.
11 - 13 - 17 - 19
The greatest value minus the smallest.

20. 10^6 has how many zeroes?
6
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...
The objects within a set.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

21. What is an arc of a circle?
Sector area = (n/360) X (pi)r^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1/(x^y)
An arc is a portion of a circumference of a circle.

22. a^2 + 2ab + b^2
A subset.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1:sqrt3:2
(a + b)^2

23. The objects in a set are called two names:
4.25 - 6 - 22
Members or elements
Pi is the ratio of a circle'S circumference to its diameter.
10

24. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2sqrt6
1

25. Circumference of a circle?
130pi
Diameter(Pi)
When the function is not defined for all real numbers -; only a subset of the real numbers.
3sqrt4

26. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
Its last two digits are divisible by 4.
An isosceles right triangle.
4:5

27. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A grouping of the members within a set based on a shared characteristic.
2

28. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
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.
8
2^9 / 2 = 256

29. 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?
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)
48
A set with a number of elements which can be counted.
Even

30. What is the ratio of the sides of an isosceles right triangle?
288 (8 9 4)
1:1:sqrt2
1 & 37/132
12! / 5!7! = 792

31. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
Cd
$3 -500 in the 9% and $2 -500 in the 7%.
The set of output values for a function.
Angle/360 x (pi)r^2

32. What are the smallest three prime numbers greater than 65?
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)
Sector area = (n/360) X (pi)r^2
The empty set - denoted by a circle with a diagonal through it.
67 - 71 - 73

33. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
6
The sum of digits is divisible by 9.
18

34. Which is greater? 64^5 or 16^8
The set of input values for a function.
5 OR -5
The empty set - denoted by a circle with a diagonal through it.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

35. 60 < all primes <70
The third side is greater than the difference and less than the sum.
61 - 67
The shortest arc between points A and B on a circle'S diameter.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

36. Which quadrant is the upper right hand?
x= (1.2)(.8)lw
The shortest arc between points A and B on a circle'S diameter.
(amount of increase/original price) x 100%
I

37. 1/8 in percent?
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...
12.5%
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.
70

38. What are 'Supplementary angles?'
Two angles whose sum is 180.
C = 2(pi)r
Move the decimal point to the right x places
11 - 13 - 17 - 19

39. a^2 - b^2 =
67 - 71 - 73
(a - b)(a + b)
Yes - like radicals can be added/subtracted.
A grouping of the members within a set based on a shared characteristic.

40. A number is divisible by 6 if...
61 - 67
Its divisible by 2 and by 3.
1.7
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. What is a chord of a circle?
Pi is the ratio of a circle'S circumference to its diameter.
A chord is a line segment joining two points on a circle.
I
A grouping of the members within a set based on a shared characteristic.

42. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
Factors are few - multiples are many.
4096
1 & 37/132

43. What is the formula for computing simple interest?
Ax^2 + bx + c where a -b and c are constants and a /=0
2sqrt6
1.0843 X 10^11
A = I (1 + rt)

44. What number between 70 & 75 - inclusive - has the greatest number of factors?
Two angles whose sum is 180.
The sum of digits is divisible by 9.
72
67 - 71 - 73

45. a^0 =
The shortest arc between points A and B on a circle'S diameter.
2 & 3/7
6
1

46. 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?
55%
The longest arc between points A and B on a circle'S diameter.
10! / (10-3)! = 720
F(x) + c

47. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
18
x= (1.2)(.8)lw
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)

48. What is the intersection of A and B?
x^(6-3) = x^3
Members or elements
The set of elements found in both A and B.
...multiply by 100.

49. 70 < all primes< 80
8
62.5%
3
71 - 73 - 79

50. What is a major arc?

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