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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. Pi is a ratio of what to what?

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2. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
The second graph is less steep.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3
28. n = 8 - k = 2. n! / k!(n-k)!

3. 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)
Yes. [i.e. f(x) = x^2 - 1
Triangles with same measure and same side lengths.
(base*height) / 2
4.25 - 6 - 22

4. To convert a percent to a fraction....
(a + b)^2
Divide by 100.
12! / 5!7! = 792
A reflection about the axis.

5. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
A set with a number of elements which can be counted.
A grouping of the members within a set based on a shared characteristic.
Cd
The set of elements which can be found in either A or B.

6. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
500
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The interesection of A and B.

7. 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))?
1:1:sqrt2
II
441000 = 1 10 10 10 21 * 21
20.5

8. 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?
Yes. [i.e. f(x) = x^2 - 1
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.
500
The sum of digits is divisible by 9.

9. What is a subset?
3 - -3
The set of elements which can be found in either A or B.
Undefined
A grouping of the members within a set based on a shared characteristic.

10. Formula for the area of a sector of a circle?
x^(4+7) = x^11
Sector area = (n/360) X (pi)r^2
1
(a + b)^2

11. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Undefined - because we can'T divide by 0.
The longest arc between points A and B on a circle'S diameter.
F(x) - c

12. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
The curve opens downward and the vertex is the maximum point on the graph.
An expression with just one term (-6x - 2a^2)
87.5%

13. Evaluate 4/11 + 11/12
1 & 37/132
1
x^(6-3) = x^3
2(pi)r^2 + 2(pi)rh

14. Which is greater? 64^5 or 16^8
9 : 25
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
A central angle is an angle formed by 2 radii.
A chord is a line segment joining two points on a circle.

15. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
The empty set - denoted by a circle with a diagonal through it.
C = (pi)d
Area of the base X height = (pi)hr^2

16. Factor a^2 + 2ab + b^2
(a + b)^2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
When the function is not defined for all real numbers -; only a subset of the real numbers.
The longest arc between points A and B on a circle'S diameter.

17. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
5 OR -5
F(x + c)
0

18. 5x^2 - 35x -55 = 0
Its negative reciprocal. (-b/a)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
87.5%
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

19. 60 < all primes <70
61 - 67
A set with a number of elements which can be counted.
90 degrees
500

20. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Sector area = (n/360) X (pi)r^2
A chord is a line segment joining two points on a circle.
1
180

21. What is the measure of an exterior angle of a regular pentagon?
x(x - y + 1)
180
72
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

22. sqrt 2(sqrt 6)=
Sqrt 12
The second graph is less steep.
Undefined
The set of elements which can be found in either A or B.

23. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
Divide by 100.
The set of output values for a function.
(amount of increase/original price) x 100%

24. Evaluate (4^3)^2
61 - 67
500
All numbers multiples of 1.
4096

25. How many multiples does a given number have?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Infinite.
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)
A = I (1 + rt)

26. What is the percent formula?
Undefined - because we can'T divide by 0.
The set of elements found in both A and B.
Part = Percent X Whole
2 & 3/7

27. What is the area of a regular hexagon with side 6?
C = (pi)d
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

28. How many sides does a hexagon have?
$3 -500 in the 9% and $2 -500 in the 7%.
6
500
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

29. 6w^2 - w - 15 = 0
The shortest arc between points A and B on a circle'S diameter.
3/2 - 5/3
A set with no members - denoted by a circle with a diagonal through it.
75:11

30. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
No - only like radicals can be added.
A set with no members - denoted by a circle with a diagonal through it.
An infinite set.
2 & 3/7

31. When does a function automatically have a restricted domain (2)?
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)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(a - b)^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

32. What is the formula for computing simple interest?
Two equal sides and two equal angles.
An expression with just one term (-6x - 2a^2)
Move the decimal point to the right x places
A = I (1 + rt)

33. The perimeter of a square is 48 inches. The length of its diagonal is:
C = 2(pi)r
1
12sqrt2
Even

34. Which quadrant is the upper left hand?
The shortest arc between points A and B on a circle'S diameter.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
II
13

35. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
The steeper the slope.
12sqrt2
(a + b)^2

36. 50 < all primes< 60
53 - 59
441000 = 1 10 10 10 21 * 21
5
10! / 3!(10-3)! = 120

37. Evaluate 3& 2/7 / 1/3
Its negative reciprocal. (-b/a)
75:11
A = I (1 + rt)
9 & 6/7

38. 4.809 X 10^7 =
87.5%
A central angle is an angle formed by 2 radii.
.0004809 X 10^11
Yes - like radicals can be added/subtracted.

39. What is an isoceles triangle?
The curve opens upward and the vertex is the minimal point on the graph.
True
1/(x^y)
Two equal sides and two equal angles.

40. How to find the diagonal of a rectangular solid?
(a - b)^2
61 - 67
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1

41. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
Two angles whose sum is 90.
75:11
From northeast - counterclockwise. I - II - III - IV

42. Max and Min lengths for a side of a triangle?
(p + q)/5
Triangles with same measure and same side lengths.
The third side is greater than the difference and less than the sum.
Ax^2 + bx + c where a -b and c are constants and a /=0

43. The slope of a line perpendicular to (a/b)?
Its negative reciprocal. (-b/a)
A grouping of the members within a set based on a shared characteristic.
1.7
An expression with just one term (-6x - 2a^2)

44. Which quadrant is the lower left hand?
500
III
4096
3

45. Which quandrant is the lower right hand?
x(x - y + 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
IV
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

46. What is the 'Solution' for a set of inequalities.
2 & 3/7
The overlapping sections.
3/2 - 5/3
61 - 67

47. 20<all primes<30
(b + c)
23 - 29
Divide by 100.
The union of A and B.

48. 10<all primes<20
Divide by 100.
All numbers multiples of 1.
Part = Percent X Whole
11 - 13 - 17 - 19

49. What are congruent triangles?
No - only like radicals can be added.
2.592 kg
Two equal sides and two equal angles.
Triangles with same measure and same side lengths.

50. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
The steeper the slope.
Diameter(Pi)
A reflection about the origin.
9 & 6/7