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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. 0^0
52
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)
The second graph is less steep.
Undefined

2. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
The overlapping sections.
4:5
F(x-c)
4.25 - 6 - 22

3. sqrt 2(sqrt 6)=
Sqrt 12
1
Yes - like radicals can be added/subtracted.
A set with a number of elements which can be counted.

4. 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?
10! / 3!(10-3)! = 120
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
28. n = 8 - k = 2. n! / k!(n-k)!
1

5. Formula for the area of a circle?
F(x) - c
A = pi(r^2)
3
1.0843 X 10^11

6. What is a set with no members called?
67 - 71 - 73
The empty set - denoted by a circle with a diagonal through it.
The point of intersection of the systems.
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)

7. What is the formula for compounded interest?
6 : 1 : 2
The interesection of A and B.
6
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.

8. What is the set of elements found in both A and B?
27^(-4)
The interesection of A and B.
I
4725

9. 5x^2 - 35x -55 = 0
(amount of decrease/original price) x 100%
72
28. n = 8 - k = 2. n! / k!(n-k)!
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

10. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
An arc is a portion of a circumference of a circle.
Triangles with same measure and same side lengths.
N! / (k!)(n-k)!

11. 25^(1/2) or sqrt. 25 =
5 OR -5
(p + q)/5
All numbers multiples of 1.
180

12. Which quadrant is the upper left hand?
12sqrt2
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.
II
I

13. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
23 - 29
90 degrees
I
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

14. Can the input value of a function have more than one output value (i.e. x: y - y1)?
Its divisible by 2 and by 3.
No - the input value has exactly one output.
y = (x + 5)/2
Yes. [i.e. f(x) = x^2 - 1

15. How to determine percent increase?
G(x) = {x}
71 - 73 - 79
(amount of increase/original price) x 100%
Yes. [i.e. f(x) = x^2 - 1

16. What does the graph x^2 + y^2 = 64 look like?
62.5%
III
A circle centered on the origin with radius 8.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

17. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
An isosceles right triangle.
500
The greatest value minus the smallest.
A reflection about the origin.

18. a^2 + 2ab + b^2
(a + b)^2
90pi
Yes - like radicals can be added/subtracted.
1

19. What is a major arc?

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20. 20<all primes<30
23 - 29
(a - b)(a + b)
180
2.592 kg

21. What is the formula for computing simple interest?
IV
A = I (1 + rt)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
53 - 59

22. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
The overlapping sections.
When the function is not defined for all real numbers -; only a subset of the real numbers.
1

23. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A circle centered on the origin with radius 8.
A reflection about the axis.
(a - b)(a + b)
A = I (1 + rt)

24. a^0 =
4:5
1
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
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)

25. What are the smallest three prime numbers greater than 65?
When the function is not defined for all real numbers -; only a subset of the real numbers.
67 - 71 - 73
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Diameter(Pi)

26. How many 3-digit positive integers are even and do not contain the digit 4?
An expression with just one term (-6x - 2a^2)
52
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
288 (8 9 4)

27. 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?
A 30-60-90 triangle.
9 : 25
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
An arc is a portion of a circumference of a circle.

28. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
A central angle is an angle formed by 2 radii.
1
5 OR -5

29. When does a function automatically have a restricted domain (2)?
67 - 71 - 73
Angle/360 x (pi)r^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Divide by 100.

30. What is the maximum value for the function g(x) = (-2x^2) -1?
A circle centered on the origin with radius 8.
11 - 13 - 17 - 19
1
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

31. 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?
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
1
6
N! / (k!)(n-k)!

32. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
x^(2(4)) =x^8 = (x^4)^2
20.5
4096

33. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The steeper the slope.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
1:1:sqrt2
413.03 / 10^4 (move the decimal point 4 places to the left)

34. A number is divisible by 9 if...
The sum of digits is divisible by 9.
The second graph is less steep.
$11 -448
The point of intersection of the systems.

35. a^2 - b^2
C = (pi)d
(a - b)(a + b)
8
48

36. A number is divisible by 6 if...
3sqrt4
A set with a number of elements which can be counted.
Its divisible by 2 and by 3.
90 degrees

37. Legs: 3 - 4. Hypotenuse?
y = 2x^2 - 3
x^(6-3) = x^3
Ax^2 + bx + c where a -b and c are constants and a /=0
5

38. Simplify the expression [(b^2 - c^2) / (b - c)]
The third side is greater than the difference and less than the sum.
The interesection of A and B.
(b + c)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

39. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
90
The curve opens downward and the vertex is the maximum point on the graph.
F(x) - c

40. 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)]?
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)
2^9 / 2 = 256
True
Factors are few - multiples are many.

41. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
The two xes after factoring.
A central angle is an angle formed by 2 radii.
Undefined - because we can'T divide by 0.
Cd

42. Find the surface area of a cylinder with radius 3 and height 12.
90pi
Lies opposite the greater angle
.0004809 X 10^11
Move the decimal point to the right x places

43. Evaluate 3& 2/7 / 1/3
9 & 6/7
Two angles whose sum is 90.
The interesection of A and B.
16.6666%

44. 3/8 in percent?
The third side is greater than the difference and less than the sum.
1/a^6
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
37.5%

45. What is a minor arc?

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46. (12sqrt15) / (2sqrt5) =
4.25 - 6 - 22
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1 & 37/132
Arc length = (n/360) x pi(2r) where n is the number of degrees.

47. The objects in a set are called two names:
Members or elements
31 - 37
C = 2(pi)r
1

48. How to determine percent decrease?
Yes. [i.e. f(x) = x^2 - 1
x(x - y + 1)
(amount of decrease/original price) x 100%
The shortest arc between points A and B on a circle'S diameter.

49. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
90
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Lies opposite the greater angle
12! / 5!7! = 792

50. (x^2)^4
75:11
x^(2(4)) =x^8 = (x^4)^2
5 OR -5
2.592 kg