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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. Can you subtract 3sqrt4 from sqrt4?
x^(4+7) = x^11
1
71 - 73 - 79
Yes - like radicals can be added/subtracted.

2. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
180
1/2 times 7/3
F(x) - c

3. What are the members or elements of a set?
(base*height) / 2
The objects within a set.
Part = Percent X Whole
Ax^2 + bx + c where a -b and c are constants and a /=0

4. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
(b + c)
288 (8 9 4)
N! / (k!)(n-k)!
The greatest value minus the smallest.

5. How many multiples does a given number have?
7 / 1000
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Infinite.
I

6. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
71 - 73 - 79
Members or elements
16.6666%

7. What is the set of elements found in both A and B?
4725
The interesection of A and B.
Yes - like radicals can be added/subtracted.
The set of elements which can be found in either A or B.

8. x^4 + x^7 =
x^(4+7) = x^11
Yes. [i.e. f(x) = x^2 - 1
(a + b)^2
7 / 1000

9. What is the graph of f(x) shifted upward c units or spaces?
4.25 - 6 - 22
F(x) + c
4096
An infinite set.

10. What does the graph x^2 + y^2 = 64 look like?
Two angles whose sum is 180.
A circle centered on the origin with radius 8.
72
10! / (10-3)! = 720

11. What is an arc of a circle?
A circle centered on the origin with radius 8.
The curve opens upward and the vertex is the minimal point on the graph.
x^(4+7) = x^11
An arc is a portion of a circumference of a circle.

12. What are congruent triangles?
Triangles with same measure and same side lengths.
Divide by 100.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
4725

13. Which quadrant is the lower left hand?
The set of output values for a function.
13pi / 2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
III

14. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Members or elements
The sum of digits is divisible by 9.
No - only like radicals can be added.
Cd

15. 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?
The set of output values for a function.
48
20.5
A set with no members - denoted by a circle with a diagonal through it.

16. Whats the difference between factors and multiples?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Factors are few - multiples are many.
3
1:sqrt3:2

17. If an inequality is multiplied or divided by a negative number....
10! / 3!(10-3)! = 120
The direction of the inequality is reversed.
C = (pi)d
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

18. What are the real numbers?
A set with no members - denoted by a circle with a diagonal through it.
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...
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)
(b + c)

19. 1/2 divided by 3/7 is the same as
A = I (1 + rt)
The curve opens upward and the vertex is the minimal point on the graph.
1/2 times 7/3
Undefined

20. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
13pi / 2
4725
IV
72

21. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
...multiply by 100.
13pi / 2
Its last two digits are divisible by 4.
Angle/360 x (pi)r^2

22. What is a set with no members called?
1/a^6
130pi
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)
The empty set - denoted by a circle with a diagonal through it.

23. (12sqrt15) / (2sqrt5) =
Cd
Part = Percent X Whole
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
4096

24. What number between 70 & 75 - inclusive - has the greatest number of factors?
441000 = 1 10 10 10 21 * 21
II
72
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

25. Which quadrant is the upper right hand?
1/(x^y)
180 degrees
Two equal sides and two equal angles.
I

26. The objects in a set are called two names:
180
When the function is not defined for all real numbers -; only a subset of the real numbers.
Members or elements
Factors are few - multiples are many.

27. Can you simplify sqrt72?
A grouping of the members within a set based on a shared characteristic.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Triangles with same measure and same side lengths.
441000 = 1 10 10 10 21 * 21

28. 5/6 in percent?
20.5
83.333%
13pi / 2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

29. (-1)^2 =
Triangles with same measure and same side lengths.
1
The overlapping sections.
413.03 / 10^4 (move the decimal point 4 places to the left)

30. 10<all primes<20
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
F(x + c)
No - the input value has exactly one output.
11 - 13 - 17 - 19

31. a^2 + 2ab + b^2
(a + b)^2
2.592 kg
16.6666%
Triangles with same measure and same side lengths.

32. What is the graph of f(x) shifted left c units or spaces?
...multiply by 100.
18
F(x + c)
23 - 29

33. What is the graph of f(x) shifted right c units or spaces?
I
52
F(x-c)
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6

34. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
67 - 71 - 73
No - the input value has exactly one output.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

35. 4.809 X 10^7 =
.0004809 X 10^11
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Undefined
12! / 5!7! = 792

36. Formula for the area of a sector of a circle?
.0004809 X 10^11
A reflection about the origin.
(p + q)/5
Sector area = (n/360) X (pi)r^2

37. Simplify 9^(1/2) X 4^3 X 2^(-6)?
When the function is not defined for all real numbers -; only a subset of the real numbers.
3
The point of intersection of the systems.
All numbers multiples of 1.

38. What is a minor arc?

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39. What is the 'Solution' for a system of linear equations?
Even
A grouping of the members within a set based on a shared characteristic.
1
The point of intersection of the systems.

40. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
An isosceles right triangle.
Cd
y = (x + 5)/2

41. 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
x^(4+7) = x^11
Its divisible by 2 and by 3.
1

42. What is a chord of a circle?
37.5%
A chord is a line segment joining two points on a circle.
1
A 30-60-90 triangle.

43. Surface area for a cylinder?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
20.5
A grouping of the members within a set based on a shared characteristic.
2(pi)r^2 + 2(pi)rh

44. (a^-1)/a^5
A set with no members - denoted by a circle with a diagonal through it.
18
x^(6-3) = x^3
1/a^6

45. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
75:11
500
Two angles whose sum is 90.

46. 7/8 in percent?
The empty set - denoted by a circle with a diagonal through it.
No - only like radicals can be added.
3
87.5%

47. What is a central angle?
A = I (1 + rt)
A central angle is an angle formed by 2 radii.
(a - b)(a + b)
12sqrt2

48. Formula for the area of a circle?
A = pi(r^2)
The empty set - denoted by a circle with a diagonal through it.
500
4096

49. 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
31 - 37
1/(x^y)
180 degrees
18

50. Simplify the expression [(b^2 - c^2) / (b - c)]
(base*height) / 2
All numbers multiples of 1.
(b + c)
72