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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^-1)/a^5
5
Yes - like radicals can be added/subtracted.
1/a^6
From northeast - counterclockwise. I - II - III - IV

2. P and r are factors of 100. What is greater - pr or 100?
A reflection about the origin.
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...
x^(2(4)) =x^8 = (x^4)^2
Indeterminable.

3. 1/8 in percent?
F(x-c)
From northeast - counterclockwise. I - II - III - IV
Cd
12.5%

4. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
1
$11 -448
(a - b)(a + b)
The set of output values for a function.

5. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
The set of elements which can be found in either A or B.
2^9 / 2 = 256
500
The overlapping sections.

6. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
I
180 degrees
The overlapping sections.

7. Formula to find a circle'S circumference from its diameter?
C = (pi)d
Two equal sides and two equal angles.
90 degrees
72

8. Evaluate 3& 2/7 / 1/3
72
9 & 6/7
The point of intersection of the systems.
3/2 - 5/3

9. 5x^2 - 35x -55 = 0
Diameter(Pi)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
90pi
C = 2(pi)r

10. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
Its negative reciprocal. (-b/a)
1
x^(4+7) = x^11

11. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
$11 -448
A chord is a line segment joining two points on a circle.
Relationship cannot be determined (what if x is negative?)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

12. In a regular polygon with n sides - the formula for the sum of interior angles
G(x) = {x}
(base*height) / 2
12sqrt2
(n-2) x 180

13. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Ax^2 + bx + c where a -b and c are constants and a /=0
(b + c)
0
4a^2(b)

14. Length of an arc of a circle?
F(x) - c
Angle/360 x 2(pi)r
72
10! / 3!(10-3)! = 120

15. What is a central angle?
9 : 25
A central angle is an angle formed by 2 radii.
18
Lies opposite the greater angle

16. What is the side length of an equilateral triangle with altitude 6?
True
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...
3sqrt4
6

17. What is the 'Range' of a function?
The set of output values for a function.
x^(4+7) = x^11
Two equal sides and two equal angles.
1

18. What is the set of elements found in both A and B?
F(x) + c
x^(2(4)) =x^8 = (x^4)^2
The interesection of A and B.
(a - b)(a + b)

19. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
An isosceles right triangle.
A 30-60-90 triangle.
2.592 kg

20. What is the name for a grouping of the members within a set based on a shared characteristic?
$3 -500 in the 9% and $2 -500 in the 7%.
A subset.
The set of elements which can be found in either A or B.
y = 2x^2 - 3

21. How to determine percent decrease?
(amount of decrease/original price) x 100%
4725
G(x) = {x}
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

22. 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?
I
500
y = 2x^2 - 3
x^(6-3) = x^3

23. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Factors are few - multiples are many.
x= (1.2)(.8)lw
3
An arc is a portion of a circumference of a circle.

24. 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)]?
True
The point of intersection of the systems.
2(pi)r^2 + 2(pi)rh
II

25. Which is greater? 64^5 or 16^8
Move the decimal point to the right x places
C = (pi)d
0
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

26. What is the measure of an exterior angle of a regular pentagon?
The greatest value minus the smallest.
72
I
1

27. What does the graph x^2 + y^2 = 64 look like?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Its negative reciprocal. (-b/a)
A circle centered on the origin with radius 8.
(amount of decrease/original price) x 100%

28. 7/8 in percent?
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)
Lies opposite the greater angle
6
87.5%

29. What are complementary angles?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
12! / 5!7! = 792
Two angles whose sum is 90.
The curve opens downward and the vertex is the maximum point on the graph.

30. What is the set of elements which can be found in either A or B?
441000 = 1 10 10 10 21 * 21
A chord is a line segment joining two points on a circle.
The union of A and B.
6

31. Evaluate (4^3)^2
3/2 - 5/3
4096
70
55%

32. What are the smallest three prime numbers greater than 65?
10! / 3!(10-3)! = 120
67 - 71 - 73
10! / (10-3)! = 720
4a^2(b)

33. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
The overlapping sections.
The greatest value minus the smallest.
90 degrees

34. How many 3-digit positive integers are even and do not contain the digit 4?
The objects within a set.
The curve opens downward and the vertex is the maximum point on the graph.
288 (8 9 4)
(amount of increase/original price) x 100%

35. Legs 5 - 12. Hypotenuse?
No - only like radicals can be added.
13
The set of elements found in both A and B.
The steeper the slope.

36. 1/2 divided by 3/7 is the same as
12! / 5!7! = 792
1
1/2 times 7/3
Infinite.

37. What is the area of a regular hexagon with side 6?
The overlapping sections.
180
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
N! / (n-k)!

38. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
The overlapping sections.
413.03 / 10^4 (move the decimal point 4 places to the left)
37.5%

39. How many multiples does a given number have?
Infinite.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Pi is the ratio of a circle'S circumference to its diameter.
...multiply by 100.

40. Max and Min lengths for a side of a triangle?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The third side is greater than the difference and less than the sum.
A chord is a line segment joining two points on a circle.
Divide by 100.

41. The larger the absolute value of the slope...
2^9 / 2 = 256
288 (8 9 4)
90
The steeper the slope.

42. The objects in a set are called two names:
The longest arc between points A and B on a circle'S diameter.
83.333%
Members or elements
A chord is a line segment joining two points on a circle.

43. What is the 'Solution' for a set of inequalities.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(b + c)
$3 -500 in the 9% and $2 -500 in the 7%.
The overlapping sections.

44. 50 < all primes< 60
2 & 3/7
The greatest value minus the smallest.
500
53 - 59

45. Simplify (a^2 + b)^2 - (a^2 - b)^2
The curve opens upward and the vertex is the minimal point on the graph.
41 - 43 - 47
4a^2(b)
71 - 73 - 79

46. 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?
18
10! / 3!(10-3)! = 120
Divide by 100.
4096

47. 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?
Angle/360 x (pi)r^2
12.5%
The two xes after factoring.
$3 -500 in the 9% and $2 -500 in the 7%.

48. (-1)^3 =
1
True
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...
A central angle is an angle formed by 2 radii.

49. Pi is a ratio of what to what?

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50. Can the output value of a function have more than one input value?
90 degrees
.0004809 X 10^11
Its last two digits are divisible by 4.
Yes. [i.e. f(x) = x^2 - 1