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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 is the percent formula?
F(x + c)
Triangles with same measure and same side lengths.
Part = Percent X Whole
1

2. 25^(1/2) or sqrt. 25 =
5 OR -5
0
Sqrt 12
Angle/360 x 2(pi)r

3. Surface area for a cylinder?
2(pi)r^2 + 2(pi)rh
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
20.5
A chord is a line segment joining two points on a circle.

4. 3/8 in percent?
1.0843 X 10^11
A set with no members - denoted by a circle with a diagonal through it.
1/(x^y)
37.5%

5. What is the set of elements which can be found in either A or B?
An infinite set.
28. n = 8 - k = 2. n! / k!(n-k)!
The union of A and B.
23 - 29

6. What is a central angle?
No - only like radicals can be added.
N! / (n-k)!
F(x) - c
A central angle is an angle formed by 2 radii.

7. What is the formula for computing simple interest?
Divide by 100.
A = I (1 + rt)
1/a^6
Its divisible by 2 and by 3.

8. Volume for a cylinder?
Area of the base X height = (pi)hr^2
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
Yes - like radicals can be added/subtracted.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

9. What is the slope of a vertical line?

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10. Which quandrant is the lower right hand?
20.5
Yes. [i.e. f(x) = x^2 - 1
The two xes after factoring.
IV

11. What is an exterior angle?
Yes - like radicals can be added/subtracted.
48
(n-2) x 180
An angle which is supplementary to an interior angle.

12. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
IV
An arc is a portion of a circumference of a circle.
F(x-c)

13. Formula to find a circle'S circumference from its diameter?
12! / 5!7! = 792
F(x-c)
C = (pi)d
An infinite set.

14. 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?
Divide by 100.
I
10! / 3!(10-3)! = 120
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)

15. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
An angle which is supplementary to an interior angle.
4.25 - 6 - 22
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

16. Number of degrees in a triangle
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.
Undefined - because we can'T divide by 0.
2(pi)r^2 + 2(pi)rh
180

17. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
Two angles whose sum is 90.
1
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
20.5

18. sqrt 2(sqrt 6)=
20.5
Sqrt 12
41 - 43 - 47
1.7

19. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
9 : 25
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.
Even
1.0843 X 10^11

20. What is the ratio of the sides of a 30-60-90 triangle?
6
1:sqrt3:2
Its negative reciprocal. (-b/a)
Undefined

21. What is the order of operations?
An arc is a portion of a circumference of a circle.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
13pi / 2
0

22. What is the maximum value for the function g(x) = (-2x^2) -1?
1
An expression with just one term (-6x - 2a^2)
48
0

23. 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?
67 - 71 - 73
N! / (n-k)!
1
A grouping of the members within a set based on a shared characteristic.

24. 1/2 divided by 3/7 is the same as
G(x) = {x}
1/2 times 7/3
x= (1.2)(.8)lw
x(x - y + 1)

25. Write 10 -843 X 10^7 in scientific notation
(b + c)
1.0843 X 10^11
4096
18

26. 2sqrt4 + sqrt4 =
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)
3sqrt4
From northeast - counterclockwise. I - II - III - IV
Diameter(Pi)

27. Formula to calculate arc length?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
2

28. Define an 'expression'.
(amount of decrease/original price) x 100%
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)
Two angles whose sum is 90.
Its last two digits are divisible by 4.

29. What is the slope of a horizontal line?
2.592 kg
0
x^(4+7) = x^11
The point of intersection of the systems.

30. Which is greater? 64^5 or 16^8
(a - b)^2
1/2 times 7/3
A grouping of the members within a set based on a shared characteristic.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

31. How to find the area of a sector?
87.5%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Angle/360 x (pi)r^2
20.5

32. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Area of the base X height = (pi)hr^2
All numbers multiples of 1.
7 / 1000
4:5

33. 40 < all primes<50
(a + b)^2
3
The steeper the slope.
41 - 43 - 47

34. What is an arc of a circle?
F(x-c)
(amount of decrease/original price) x 100%
An arc is a portion of a circumference of a circle.
Undefined

35. 1/6 in percent?
A circle centered on the origin with radius 8.
13
16.6666%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

36. What is a major arc?

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37. Is 0 even or odd?
$3 -500 in the 9% and $2 -500 in the 7%.
F(x) - c
11 - 13 - 17 - 19
Even

38. Formula for the area of a circle?
1.7
1
A = pi(r^2)
An arc is a portion of a circumference of a circle.

39. What are complementary angles?
F(x + c)
Two angles whose sum is 90.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
F(x) - c

40. What percent of 40 is 22?
A reflection about the axis.
55%
(a + b)^2
IV

41. The objects in a set are called two names:
C = 2(pi)r
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Members or elements
Undefined - because we can'T divide by 0.

42. Can the output value of a function have more than one input value?
All numbers multiples of 1.
Yes. [i.e. f(x) = x^2 - 1
1:1:sqrt2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

43. 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?
52
4a^2(b)
Move the decimal point to the right x places
1:1:sqrt2

44. Whats the difference between factors and multiples?
Factors are few - multiples are many.
Cd
62.5%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

45. What is a finite set?
Cd
1
A set with no members - denoted by a circle with a diagonal through it.
A set with a number of elements which can be counted.

46. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
61 - 67
The direction of the inequality is reversed.
13pi / 2
The set of input values for a function.

47. The larger the absolute value of the slope...
Its last two digits are divisible by 4.
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 steeper the slope.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

48. How to find the diagonal of a rectangular solid?
(a - b)(a + b)
Yes - like radicals can be added/subtracted.
The union of A and B.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

49. What are the roots of the quadrinomial x^2 + 2x + 1?
27^(-4)
The curve opens upward and the vertex is the minimal point on the graph.
Ax^2 + bx + c where a -b and c are constants and a /=0
The two xes after factoring.

50. Define a 'monomial'
500
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x^(6-3) = x^3
An expression with just one term (-6x - 2a^2)