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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. 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?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
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.
Diameter(Pi)

2. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
4725
Pi is the ratio of a circle'S circumference to its diameter.
500

3. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
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.
9 : 25
10! / 3!(10-3)! = 120
1:sqrt3:2

4. What is the slope of a vertical line?

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5. What is a set with no members called?
I
53 - 59
11 - 13 - 17 - 19
The empty set - denoted by a circle with a diagonal through it.

6. Find the surface area of a cylinder with radius 3 and height 12.
The objects within a set.
90pi
A set with no members - denoted by a circle with a diagonal through it.
All numbers multiples of 1.

7. What are congruent triangles?
Triangles with same measure and same side lengths.
II
The set of elements found in both A and B.
10! / (10-3)! = 720

8. x^(-y)=
3
7 / 1000
1/a^6
1/(x^y)

9. x^2 = 9. What is the value of x?
F(x-c)
61 - 67
3 - -3
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?
Pi is the ratio of a circle'S circumference to its diameter.
A reflection about the axis.
48
The interesection of A and B.

11. What are the integers?
Its divisible by 2 and by 3.
All numbers multiples of 1.
(a - b)^2
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)

12. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
Its negative reciprocal. (-b/a)
12sqrt2
The direction of the inequality is reversed.

13. Formula to calculate arc length?
2.592 kg
y = (x + 5)/2
A set with no members - denoted by a circle with a diagonal through it.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

14. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
A reflection about the axis.
N! / (k!)(n-k)!
N! / (n-k)!
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

15. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
N! / (n-k)!
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
N! / (k!)(n-k)!
A tangent is a line that only touches one point on the circumference of a circle.

16. 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
y = (x + 5)/2
From northeast - counterclockwise. I - II - III - IV
An isosceles right triangle.
18

17. 5x^2 - 35x -55 = 0
No - the input value has exactly one output.
x(x - y + 1)
83.333%
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

18. What are 'Supplementary angles?'
A = I (1 + rt)
No - only like radicals can be added.
Two angles whose sum is 180.
Its negative reciprocal. (-b/a)

19. What is the surface area of a cylinder with radius 5 and height 8?
The two xes after factoring.
72
130pi
12! / 5!7! = 792

20. Surface area for a cylinder?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
2.592 kg
8
2(pi)r^2 + 2(pi)rh

21. What is the name for a grouping of the members within a set based on a shared characteristic?
(amount of decrease/original price) x 100%
A subset.
52
9 : 25

22. x^6 / x^3
71 - 73 - 79
x^(6-3) = x^3
5
180 degrees

23. What is the sum of the angles of a triangle?
An angle which is supplementary to an interior angle.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
180 degrees
The overlapping sections.

24. What is the slope of a horizontal line?
8
3/2 - 5/3
0
Its last two digits are divisible by 4.

25. 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?
x= (1.2)(.8)lw
A circle centered at -2 - -2 with radius 3.
$3 -500 in the 9% and $2 -500 in the 7%.
Two equal sides and two equal angles.

26. When does a function automatically have a restricted domain (2)?
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)
1
72
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

27. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A reflection about the axis.
1.7
A 30-60-90 triangle.

28. 60 < all primes <70
F(x + c)
3sqrt4
61 - 67
(amount of decrease/original price) x 100%

29. Factor a^2 + 2ab + b^2
180 degrees
(a + b)^2
Relationship cannot be determined (what if x is negative?)
The shortest arc between points A and B on a circle'S diameter.

30. When the 'a' in a parabola is positive....
The curve opens upward and the vertex is the minimal point on the graph.
2
A 30-60-90 triangle.
288 (8 9 4)

31. Can you subtract 3sqrt4 from sqrt4?
5 OR -5
1
Yes - like radicals can be added/subtracted.
N! / (n-k)!

32. What is the graph of f(x) shifted downward c units or spaces?
53 - 59
.0004809 X 10^11
F(x) - c
A 30-60-90 triangle.

33. What is the ratio of the sides of an isosceles right triangle?
9 & 6/7
52
1:1:sqrt2
Pi is the ratio of a circle'S circumference to its diameter.

34. a^2 - 2ab + b^2
... the square of the ratios of the corresponding sides.
(a - b)^2
No - the input value has exactly one output.
(a - b)(a + b)

35. Convert 0.7% to a fraction.
3
7 / 1000
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
11 - 13 - 17 - 19

36. 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
72
Its last two digits are divisible by 4.
500

37. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
1
4725
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)
No - the input value has exactly one output.

38. Which quadrant is the upper left hand?
F(x) + c
II
10
Two angles whose sum is 90.

39. a^2 + 2ab + b^2
Ax^2 + bx + c where a -b and c are constants and a /=0
Its negative reciprocal. (-b/a)
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)
(a + b)^2

40. If an inequality is multiplied or divided by a negative number....
12! / 5!7! = 792
The direction of the inequality is reversed.
441000 = 1 10 10 10 21 * 21
Yes. [i.e. f(x) = x^2 - 1

41. To convert a percent to a fraction....
A chord is a line segment joining two points on a circle.
Divide by 100.
No - the input value has exactly one output.
(a - b)(a + b)

42. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
The direction of the inequality is reversed.
True
The set of output values for a function.
The greatest value minus the smallest.

43. a^0 =
The set of output values for a function.
1
(b + c)
Sqrt 12

44. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
4:5
Divide by 100.
Its negative reciprocal. (-b/a)

45. What is the order of operations?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
3sqrt4
I

46. How many sides does a hexagon have?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
6
3sqrt4

47. 50 < all primes< 60
1.0843 X 10^11
53 - 59
28. n = 8 - k = 2. n! / k!(n-k)!
7 / 1000

48. Number of degrees in a triangle
48
Two equal sides and two equal angles.
1:1:sqrt2
180

49. 0^0
7 / 1000
Undefined
1:1:sqrt2
IV

50. Order of quadrants:
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
7 / 1000
From northeast - counterclockwise. I - II - III - IV
28. n = 8 - k = 2. n! / k!(n-k)!