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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 are the roots of the quadrinomial x^2 + 2x + 1?
6 : 1 : 2
The two xes after factoring.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

2. Legs 5 - 12. Hypotenuse?
13
Triangles with same measure and same side lengths.
An angle which is supplementary to an interior angle.
The set of elements which can be found in either A or B.

3. 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?
The point of intersection of the systems.
$3 -500 in the 9% and $2 -500 in the 7%.
(b + c)
413.03 / 10^4 (move the decimal point 4 places to the left)

4. What is the graph of f(x) shifted downward c units or spaces?
0
F(x) - c
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
2

5. A number is divisible by 3 if ...
Two angles whose sum is 90.
An arc is a portion of a circumference of a circle.
The sum of its digits is divisible by 3.
A = I (1 + rt)

6. Number of degrees in a triangle
0
No - only like radicals can be added.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
180

7. 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?
A tangent is a line that only touches one point on the circumference of a circle.
10! / (10-3)! = 720
C = 2(pi)r
5

8. What is a subset?
The interesection of A and B.
7 / 1000
4.25 - 6 - 22
A grouping of the members within a set based on a shared characteristic.

9. What is the empty set?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A set with no members - denoted by a circle with a diagonal through it.
The direction of the inequality is reversed.
The third side is greater than the difference and less than the sum.

10. 10<all primes<20
G(x) = {x}
11 - 13 - 17 - 19
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
62.5%

11. What is a tangent?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
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)
A tangent is a line that only touches one point on the circumference of a circle.
Angle/360 x 2(pi)r

12. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
9 & 6/7
An angle which is supplementary to an interior angle.
Cd
1 & 37/132

13. In a regular polygon with n sides - the formula for the sum of interior angles
An infinite set.
1/(x^y)
(a - b)^2
(n-2) x 180

14. 30< all primes<40
31 - 37
G(x) = {x}
A set with no members - denoted by a circle with a diagonal through it.
The third side is greater than the difference and less than the sum.

15. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
y = 2x^2 - 3
2^9 / 2 = 256
5 OR -5
A grouping of the members within a set based on a shared characteristic.

16. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
II
(amount of decrease/original price) x 100%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
From northeast - counterclockwise. I - II - III - IV

17. What is the ratio of the sides of an isosceles right triangle?
The set of input values for a function.
The curve opens downward and the vertex is the maximum point on the graph.
1:1:sqrt2
1.0843 X 10^11

18. What are the members or elements of a set?
IV
The objects within a set.
... the square of the ratios of the corresponding sides.
The set of elements which can be found in either A or B.

19. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
A set with a number of elements which can be counted.
180 degrees
52
y = (x + 5)/2

20. Define an 'expression'.
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)
8
(p + q)/5
Infinite.

21. (-1)^3 =
All numbers multiples of 1.
180 degrees
75:11
1

22. 10^6 has how many zeroes?
No - only like radicals can be added.
Diameter(Pi)
Two angles whose sum is 180.
6

23. What is the formula for compounded interest?
x^(4+7) = x^11
5
Area of the base X height = (pi)hr^2
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.

24. What are the irrational numbers?

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25. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
441000 = 1 10 10 10 21 * 21
The shortest arc between points A and B on a circle'S diameter.
12! / 5!7! = 792
55%

26. What is a finite set?
(a + b)^2
288 (8 9 4)
A set with a number of elements which can be counted.
True

27. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
6
(p + q)/5
Area of the base X height = (pi)hr^2

28. x^4 + x^7 =
(a + b)^2
x^(4+7) = x^11
13pi / 2
Arc length = (n/360) x pi(2r) where n is the number of degrees.

29. 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)
1
90pi
4.25 - 6 - 22
3sqrt4

30. How to determine percent increase?
x^(6-3) = x^3
(amount of increase/original price) x 100%
8
2^9 / 2 = 256

31. How to determine percent decrease?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(amount of decrease/original price) x 100%
87.5%
2^9 / 2 = 256

32. What is a piecewise equation?
53 - 59
9 : 25
3sqrt4
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

33. Solve the quadratic equation ax^2 + bx + c= 0
10! / 3!(10-3)! = 120
75:11
62.5%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

34. What is the maximum value for the function g(x) = (-2x^2) -1?
1
1.0843 X 10^11
N! / (k!)(n-k)!
N! / (n-k)!

35. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The overlapping sections.
Angle/360 x (pi)r^2

36. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The objects within a set.

37. 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?
(a - b)^2
The set of output values for a function.
48
1

38. P and r are factors of 100. What is greater - pr or 100?
... the square of the ratios of the corresponding sides.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Indeterminable.
Ax^2 + bx + c where a -b and c are constants and a /=0

39. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
(n-2) x 180
(amount of decrease/original price) x 100%
(amount of increase/original price) x 100%

40. What is the set of elements found in both A and B?
8
The interesection of A and B.
N! / (n-k)!
The sum of digits is divisible by 9.

41. 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?
441000 = 1 10 10 10 21 * 21
When the function is not defined for all real numbers -; only a subset of the real numbers.
3/2 - 5/3
3

42. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An angle which is supplementary to an interior angle.
41 - 43 - 47
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)
An isosceles right triangle.

43. Evaluate 4/11 + 11/12
1 & 37/132
Indeterminable.
$3 -500 in the 9% and $2 -500 in the 7%.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

44. To multiply a number by 10^x
Two equal sides and two equal angles.
Move the decimal point to the right x places
F(x + c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

45. Factor a^2 + 2ab + b^2
III
(a + b)^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)
Undefined - because we can'T divide by 0.

46. How to find the circumference of a circle which circumscribes a square?
Undefined
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
441000 = 1 10 10 10 21 * 21
13pi / 2

47. 20<all primes<30
23 - 29
A set with no members - denoted by a circle with a diagonal through it.
28. n = 8 - k = 2. n! / k!(n-k)!
Even

48. 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?
3
16.6666%
5 OR -5
500

49. 0^0
61 - 67
Undefined
Its negative reciprocal. (-b/a)
...multiply by 100.

50. Circumference of a circle?
1/a^6
Diameter(Pi)
Part = Percent X Whole
83.333%