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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 third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Area of the base X height = (pi)hr^2
70
31 - 37
90pi

2. What is the absolute value function?
1:sqrt3:2
Diameter(Pi)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
G(x) = {x}

3. 6w^2 - w - 15 = 0
The direction of the inequality is reversed.
16.6666%
3/2 - 5/3
Move the decimal point to the right x places

4. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
The second graph is less steep.
1
N! / (n-k)!

5. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
500
12.5%
A 30-60-90 triangle.

6. Convert 0.7% to a fraction.
7 / 1000
Undefined
Pi is the ratio of a circle'S circumference to its diameter.
13pi / 2

7. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
10! / (10-3)! = 720
41 - 43 - 47

8. 1/2 divided by 3/7 is the same as
52
1/2 times 7/3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(a + b)^2

9. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
The overlapping sections.
4:5
1:sqrt3:2
1

10. What is the order of operations?
An arc is a portion of a circumference of a circle.
Move the decimal point to the right x places
No - the input value has exactly one output.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

11. Length of an arc of a circle?
1
Angle/360 x 2(pi)r
Two angles whose sum is 90.
75:11

12. 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
A tangent is a line that only touches one point on the circumference of a circle.
18
The steeper the slope.
An expression with just one term (-6x - 2a^2)

13. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Move the decimal point to the right x places
441000 = 1 10 10 10 21 * 21

14. Formula for the area of a circle?
The shortest arc between points A and B on a circle'S diameter.
3sqrt4
90 degrees
A = pi(r^2)

15. 10<all primes<20
11 - 13 - 17 - 19
Pi is the ratio of a circle'S circumference to its diameter.
(p + q)/5
18

16. What is the graph of f(x) shifted left c units or spaces?
Two angles whose sum is 180.
Two equal sides and two equal angles.
10! / 3!(10-3)! = 120
F(x + c)

17. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
3 - -3
441000 = 1 10 10 10 21 * 21
A 30-60-90 triangle.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

18. How many sides does a hexagon have?
6
Pi is the ratio of a circle'S circumference to its diameter.
The curve opens downward and the vertex is the maximum point on the graph.
The set of elements found in both A and B.

19. 8.84 / 5.2
Its divisible by 2 and by 3.
1.7
70
37.5%

20. What is a subset?
90pi
...multiply by 100.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A grouping of the members within a set based on a shared characteristic.

21. What are congruent triangles?
Triangles with same measure and same side lengths.
1/2 times 7/3
(base*height) / 2
67 - 71 - 73

22. 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?
1:sqrt3:2
N! / (n-k)!
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
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

23. What are the members or elements of a set?
Part = Percent X Whole
1/a^6
62.5%
The objects within a set.

24. What is the 'domain' of a function?
The set of input values for a function.
72
Lies opposite the greater angle
The objects within a set.

25. Order of quadrants:
Area of the base X height = (pi)hr^2
2 & 3/7
4a^2(b)
From northeast - counterclockwise. I - II - III - IV

26. Legs: 3 - 4. Hypotenuse?
53 - 59
5
1
6

27. Which quadrant is the lower left hand?
An isosceles right triangle.
Indeterminable.
The point of intersection of the systems.
III

28. Define a 'Term' -
0
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)
Ax^2 + bx + c where a -b and c are constants and a /=0
x^(2(4)) =x^8 = (x^4)^2

29. What are the smallest three prime numbers greater than 65?
N! / (n-k)!
500
67 - 71 - 73
Sector area = (n/360) X (pi)r^2

30. Which quadrant is the upper left hand?
6
9 & 6/7
II
2.592 kg

31. Which is greater? 64^5 or 16^8
52
2sqrt6
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Yes - like radicals can be added/subtracted.

32. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
6
10! / 3!(10-3)! = 120
2sqrt6
Angle/360 x (pi)r^2

33. Evaluate 4/11 + 11/12
Its last two digits are divisible by 4.
1:1:sqrt2
1 & 37/132
x^(6-3) = x^3

34. 40 < all primes<50
1
G(x) = {x}
180 degrees
41 - 43 - 47

35. Can the input value of a function have more than one output value (i.e. x: y - y1)?
When the function is not defined for all real numbers -; only a subset of the real numbers.
x= (1.2)(.8)lw
Cd
No - the input value has exactly one output.

36. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
Sector area = (n/360) X (pi)r^2
8
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

37. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
87.5%
4.25 - 6 - 22
The third side is greater than the difference and less than the sum.
37.5%

38. What number between 70 & 75 - inclusive - has the greatest number of factors?
500
(a + b)^2
72
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

39. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
The third side is greater than the difference and less than the sum.
Pi is the ratio of a circle'S circumference to its diameter.
1:1:sqrt2

40. Formula of rectangle where l increases by 20% and w decreases by 20%
N! / (k!)(n-k)!
...multiply by 100.
The greatest value minus the smallest.
x= (1.2)(.8)lw

41. (12sqrt15) / (2sqrt5) =
441000 = 1 10 10 10 21 * 21
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1
2.592 kg

42. What is the 'Range' of a series of numbers?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The greatest value minus the smallest.
5 OR -5
16.6666%

43. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
The set of elements found in both A and B.
1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

44. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
6
90
9 & 6/7
IV

45. Whats the difference between factors and multiples?
10
Factors are few - multiples are many.
Its negative reciprocal. (-b/a)
3/2 - 5/3

46. 70 < all primes< 80
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
No - the input value has exactly one output.
71 - 73 - 79

47. The objects in a set are called two names:
Relationship cannot be determined (what if x is negative?)
72
71 - 73 - 79
Members or elements

48. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
The shortest arc between points A and B on a circle'S diameter.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
1:1:sqrt2

49. What is the ratio of the sides of a 30-60-90 triangle?
(a + b)^2
1:sqrt3:2
Undefined - because we can'T divide by 0.
(a - b)(a + b)

50. 0^0
A = pi(r^2)
10! / 3!(10-3)! = 120
6
Undefined