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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. 1/6 in percent?
16.6666%
Relationship cannot be determined (what if x is negative?)
Part = Percent X Whole
13

2. 10^6 has how many zeroes?
C = 2(pi)r
31 - 37
F(x) + c
6

3. x^6 / x^3
x^(6-3) = x^3
(a - b)(a + b)
4725
When the function is not defined for all real numbers -; only a subset of the real numbers.

4. 5/6 in percent?
180
12.5%
83.333%
1:sqrt3:2

5. What is a minor arc?

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6. What is the graph of f(x) shifted right c units or spaces?
The two xes after factoring.
F(x-c)
Relationship cannot be determined (what if x is negative?)
2^9 / 2 = 256

7. Can you subtract 3sqrt4 from sqrt4?
x(x - y + 1)
1/a^6
288 (8 9 4)
Yes - like radicals can be added/subtracted.

8. Legs 6 - 8. Hypotenuse?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
90 degrees
Area of the base X height = (pi)hr^2
10

9. The slope of a line perpendicular to (a/b)?
Its negative reciprocal. (-b/a)
90
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(p + q)/5

10. Write 10 -843 X 10^7 in scientific notation
288 (8 9 4)
70
1.0843 X 10^11
Its last two digits are divisible by 4.

11. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
(amount of increase/original price) x 100%
The set of elements found in both A and B.
(p + q)/5

12. 25^(1/2) or sqrt. 25 =
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
6
Ax^2 + bx + c where a -b and c are constants and a /=0
5 OR -5

13. 4.809 X 10^7 =
18
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
.0004809 X 10^11
y = 2x^2 - 3

14. (6sqrt3) x (2sqrt5) =
The interesection of A and B.
41 - 43 - 47
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
83.333%

15. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Factors are few - multiples are many.
A grouping of the members within a set based on a shared characteristic.
Cd
.0004809 X 10^11

16. 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?
An isosceles right 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.
2.592 kg
62.5%

17. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
71 - 73 - 79
The set of elements found in both A and B.
$11 -448
3/2 - 5/3

18. What percent of 40 is 22?
2.592 kg
(base*height) / 2
55%
1.0843 X 10^11

19. 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?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
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
A circle centered on the origin with radius 8.
1

20. Evaluate 4/11 + 11/12
48
4.25 - 6 - 22
90pi
1 & 37/132

21. 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?
The sum of digits is divisible by 9.
9 : 25
3
The steeper the slope.

22. 40 < all primes<50
180 degrees
41 - 43 - 47
(b + c)
12.5%

23. How many sides does a hexagon have?
31 - 37
The longest arc between points A and B on a circle'S diameter.
6
90pi

24. What is the ratio of the sides of an isosceles right triangle?
Move the decimal point to the right x places
All numbers multiples of 1.
4725
1:1:sqrt2

25. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
A = I (1 + rt)
Relationship cannot be determined (what if x is negative?)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

26. 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))?
The interesection of A and B.
413.03 / 10^4 (move the decimal point 4 places to the left)
12.5%
20.5

27. What is the percent formula?
2.592 kg
3/2 - 5/3
The curve opens downward and the vertex is the maximum point on the graph.
Part = Percent X Whole

28. 10<all primes<20
A = pi(r^2)
70
A central angle is an angle formed by 2 radii.
11 - 13 - 17 - 19

29. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
Angle/360 x (pi)r^2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
An isosceles right triangle.
An angle which is supplementary to an interior angle.

30. 5/8 in percent?
13
1/(x^y)
Triangles with same measure and same side lengths.
62.5%

31. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
Lies opposite the greater angle
10
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

32. Whats the difference between factors and multiples?
A circle centered at -2 - -2 with radius 3.
Factors are few - multiples are many.
N! / (k!)(n-k)!
1.7

33. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
180
1
441000 = 1 10 10 10 21 * 21

34. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
C = (pi)d
Indeterminable.
The set of elements which can be found in either A or B.

35. Reduce: 4.8 : 0.8 : 1.6
1
x^(2(4)) =x^8 = (x^4)^2
6 : 1 : 2
The union of A and B.

36. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
1/(x^y)
2 & 3/7
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Ax^2 + bx + c where a -b and c are constants and a /=0

37. Convert 0.7% to a fraction.
Ax^2 + bx + c where a -b and c are constants and a /=0
(b + c)
1.0843 X 10^11
7 / 1000

38. What is the slope of a horizontal line?
Indeterminable.
N! / (n-k)!
0
Ax^2 + bx + c where a -b and c are constants and a /=0

39. Which quandrant is the lower right hand?
A 30-60-90 triangle.
IV
288 (8 9 4)
(amount of decrease/original price) x 100%

40. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
An isosceles right triangle.
The steeper the slope.
Diameter(Pi)
2

41. Formula to find a circle'S circumference from its diameter?
The set of output values for a function.
A tangent is a line that only touches one point on the circumference of a circle.
.0004809 X 10^11
C = (pi)d

42. x^(-y)=
90pi
1:sqrt3:2
The point of intersection of the systems.
1/(x^y)

43. x^4 + x^7 =
The empty set - denoted by a circle with a diagonal through it.
y = 2x^2 - 3
x^(4+7) = x^11
3/2 - 5/3

44. a^0 =
1
12! / 5!7! = 792
6 : 1 : 2
53 - 59

45. sqrt 2(sqrt 6)=
A circle centered at -2 - -2 with radius 3.
27^(-4)
12sqrt2
Sqrt 12

46. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
The second graph is less steep.
2(pi)r^2 + 2(pi)rh
13pi / 2
A 30-60-90 triangle.

47. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A set with no members - denoted by a circle with a diagonal through it.
An angle which is supplementary to an interior angle.
A reflection about the axis.
37.5%

48. The ratio of the areas of two similar polygons is ...
Its last two digits are divisible by 4.
... the square of the ratios of the corresponding sides.
A set with no members - denoted by a circle with a diagonal through it.
2sqrt6

49. What is the 'Range' of a function?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1
The set of output values for a function.
A circle centered on the origin with radius 8.

50. What does the graph x^2 + y^2 = 64 look like?
62.5%
A circle centered on the origin with radius 8.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.