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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 the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
Area of the base X height = (pi)hr^2
A grouping of the members within a set based on a shared characteristic.
Factors are few - multiples are many.

2. What is an arc of a circle?
10! / (10-3)! = 720
Yes. [i.e. f(x) = x^2 - 1
x^(4+7) = x^11
An arc is a portion of a circumference of a circle.

3. 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)]?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
13pi / 2
True
Undefined - because we can'T divide by 0.

4. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
55%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
288 (8 9 4)

5. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Part = Percent X Whole
Cd
6

6. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3sqrt4
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The second graph is less steep.
3

7. Evaluate 3& 2/7 / 1/3
9 & 6/7
Its negative reciprocal. (-b/a)
71 - 73 - 79
1:1:sqrt2

8. What is the surface area of a cylinder with radius 5 and height 8?
130pi
Even
When the function is not defined for all real numbers -; only a subset of the real numbers.
288 (8 9 4)

9. When the 'a' in the parabola is negative...
(base*height) / 2
3
2sqrt6
The curve opens downward and the vertex is the maximum point on the graph.

10. What number between 70 & 75 - inclusive - has the greatest number of factors?
13pi / 2
72
3 - -3
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

11. What are the real numbers?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The set of elements which can be found in either A or B.
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)
F(x) - c

12. To convert a percent to a fraction....
(amount of increase/original price) x 100%
Divide by 100.
9 : 25
28. n = 8 - k = 2. n! / k!(n-k)!

13. 5/8 in percent?
62.5%
The union of A and B.
4a^2(b)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

14. 60 < all primes <70
61 - 67
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The two xes after factoring.
Relationship cannot be determined (what if x is negative?)

15. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
A circle centered at -2 - -2 with radius 3.
Members or elements
y = (x + 5)/2

16. Describe the relationship between 3x^2 and 3(x - 1)^2
Factors are few - multiples are many.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
23 - 29
28. n = 8 - k = 2. n! / k!(n-k)!

17. Convert 0.7% to a fraction.
7 / 1000
87.5%
1
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

18. What is the percent formula?
A reflection about the axis.
Part = Percent X Whole
3sqrt4
12sqrt2

19. How to find the diagonal of a rectangular solid?
2^9 / 2 = 256
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Area of the base X height = (pi)hr^2
9 : 25

20. 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))?
(base*height) / 2
55%
20.5
1.7

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?
3 - -3
10! / 3!(10-3)! = 120
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
9 : 25

22. Can you simplify sqrt72?
The second graph is less steep.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The curve opens upward and the vertex is the minimal point on the graph.

23. Formula to calculate arc length?
True
(a + b)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

24. What is the empty set?
52
A reflection about the origin.
2 & 3/7
A set with no members - denoted by a circle with a diagonal through it.

25. What is a major arc?

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26. 25^(1/2) or sqrt. 25 =
I
y = (x + 5)/2
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)
5 OR -5

27. 1/2 divided by 3/7 is the same as
The set of input values for a function.
1/2 times 7/3
The set of output values for a function.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

28. Simplify the expression [(b^2 - c^2) / (b - c)]
The union of A and B.
x^(2(4)) =x^8 = (x^4)^2
(b + c)
The direction of the inequality is reversed.

29. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Cd
3
1/2 times 7/3

30. What are the smallest three prime numbers greater than 65?
A circle centered at -2 - -2 with radius 3.
Sqrt 12
(a - b)(a + b)
67 - 71 - 73

31. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
441000 = 1 10 10 10 21 * 21
The overlapping sections.
90
5

32. What is the ratio of the sides of an isosceles right triangle?
N! / (k!)(n-k)!
All numbers multiples of 1.
(a + b)^2
1:1:sqrt2

33. What are the roots of the quadrinomial x^2 + 2x + 1?
288 (8 9 4)
52
The two xes after factoring.
1

34. a^2 - b^2 =
Cd
(a - b)(a + b)
1
Indeterminable.

35. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
The two xes after factoring.
12! / 5!7! = 792
3/2 - 5/3
Ax^2 + bx + c where a -b and c are constants and a /=0

36. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
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 sum of its digits is divisible by 3.
41 - 43 - 47

37. Can the input value of a function have more than one output value (i.e. x: y - y1)?
180 degrees
No - the input value has exactly one output.
y = 2x^2 - 3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

38. Which quadrant is the upper left hand?
87.5%
II
3 - -3
10! / (10-3)! = 720

39. Legs: 3 - 4. Hypotenuse?
Its negative reciprocal. (-b/a)
5
10
A reflection about the axis.

40. Which quandrant is the lower right hand?
(a - b)^2
IV
Sector area = (n/360) X (pi)r^2
A tangent is a line that only touches one point on the circumference of a circle.

41. What is the sum of the angles of a triangle?
180 degrees
4:5
4a^2(b)
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)

42. What is a tangent?
12.5%
A tangent is a line that only touches one point on the circumference of a circle.
II
1

43. Formula for the area of a circle?
2.592 kg
A = pi(r^2)
1
IV

44. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
12sqrt2
A subset.
An isosceles right triangle.

45. What is the measure of an exterior angle of a regular pentagon?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
72
2.592 kg
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

46. (a^-1)/a^5
12sqrt2
0
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
1/a^6

47. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
A central angle is an angle formed by 2 radii.
The curve opens downward and the vertex is the maximum point on the graph.
C = (pi)d
500

48. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Two angles whose sum is 90.
(a + b)^2
70
Infinite.

49. What are the integers?
500
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
All numbers multiples of 1.
87.5%

50. What is the 'Range' of a function?
The set of output values for a function.
2sqrt6
A = pi(r^2)
Lies opposite the greater angle