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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. Formula to find a circle'S circumference from its diameter?
C = (pi)d
0
12.5%
7 / 1000

2. Simplify the expression (p^2 - q^2)/ -5(q - p)
Cd
1:1:sqrt2
(p + q)/5
8

3. A number is divisible by 9 if...
Its negative reciprocal. (-b/a)
130pi
1/2 times 7/3
The sum of digits is divisible by 9.

4. Define a 'Term' -
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The set of output values for a function.
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)
Two equal sides and two equal angles.

5. Which is greater? 200x^295 or 10x^294?
9 & 6/7
The interesection of A and B.
Relationship cannot be determined (what if x is negative?)
The sum of its digits is divisible by 3.

6. What is the measure of an exterior angle of a regular pentagon?
Diameter(Pi)
10! / (10-3)! = 720
0
72

7. Simplify the expression [(b^2 - c^2) / (b - c)]
2sqrt6
The objects within a set.
(b + c)
The two xes after factoring.

8. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Undefined - because we can'T divide by 0.
(n-2) x 180
A 30-60-90 triangle.
8

9. What are congruent triangles?
From northeast - counterclockwise. I - II - III - IV
Triangles with same measure and same side lengths.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The two xes after factoring.

10. What is the percent formula?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Two angles whose sum is 180.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Part = Percent X Whole

11. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
2
2 & 3/7
3

12. What is a piecewise equation?
62.5%
130pi
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
3sqrt4

13. What is the slope of a horizontal line?
10
F(x + c)
0
The point of intersection of the systems.

14. What is the area of a regular hexagon with side 6?
0
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Undefined
A tangent is a line that only touches one point on the circumference of a circle.

15. What is the 'Range' of a function?
10! / 3!(10-3)! = 120
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The set of output values for a function.
41 - 43 - 47

16. What is the graph of f(x) shifted left c units or spaces?
The sum of its digits is divisible by 3.
The third side is greater than the difference and less than the sum.
Cd
F(x + c)

17. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
87.5%
3
13pi / 2
1/a^6

18. What is a finite set?
The curve opens upward and the vertex is the minimal point on the graph.
A grouping of the members within a set based on a shared characteristic.
48
A set with a number of elements which can be counted.

19. What is the absolute value function?
1.0843 X 10^11
The union of A and B.
G(x) = {x}
N! / (k!)(n-k)!

20. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
12! / 5!7! = 792
Part = Percent X Whole
x^(4+7) = x^11

21. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
The second graph is less steep.
28. n = 8 - k = 2. n! / k!(n-k)!
52

22. What is a set with no members called?
28. n = 8 - k = 2. n! / k!(n-k)!
A circle centered on the origin with radius 8.
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)
The empty set - denoted by a circle with a diagonal through it.

23. What is a subset?
83.333%
A grouping of the members within a set based on a shared characteristic.
18
When the function is not defined for all real numbers -; only a subset of the real numbers.

24. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
III
The interesection of A and B.
12! / 5!7! = 792
3

25. What are the integers?
No - the input value has exactly one output.
All numbers multiples of 1.
An isosceles right triangle.
4.25 - 6 - 22

26. Find the surface area of a cylinder with radius 3 and height 12.
10! / (10-3)! = 720
Two angles whose sum is 180.
90pi
N! / (n-k)!

27. A number is divisible by 4 is...
4.25 - 6 - 22
...multiply by 100.
A = pi(r^2)
Its last two digits are divisible by 4.

28. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
(a + b)^2
23 - 29
The set of elements which can be found in either A or B.

29. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Move the decimal point to the right x places
1
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
83.333%

30. a^0 =
5
The interesection of A and B.
The sum of digits is divisible by 9.
1

31. (6sqrt3) x (2sqrt5) =
2^9 / 2 = 256
The greatest value minus the smallest.
The objects within a set.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

32. 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)
F(x-c)
12sqrt2
4.25 - 6 - 22
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

33. What are the rational numbers?
III
(amount of decrease/original price) x 100%
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

34. What is the 'domain' of a function?
An angle which is supplementary to an interior angle.
A set with no members - denoted by a circle with a diagonal through it.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The set of input values for a function.

35. What is an isoceles triangle?
41 - 43 - 47
The point of intersection of the systems.
Undefined
Two equal sides and two equal angles.

36. How many 3-digit positive integers are even and do not contain the digit 4?
4725
An arc is a portion of a circumference of a circle.
A reflection about the axis.
288 (8 9 4)

37. Formula for the area of a circle?
Area of the base X height = (pi)hr^2
When the function is not defined for all real numbers -; only a subset of the real numbers.
A subset.
A = pi(r^2)

38. Which quandrant is the lower right hand?
(a - b)^2
IV
Two angles whose sum is 180.
The point of intersection of the systems.

39. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
9 : 25
An isosceles right triangle.

40. Factor a^2 + 2ab + b^2
72
(a + b)^2
The union of A and B.
10! / (10-3)! = 720

41. 0^0
(a - b)^2
Undefined
y = 2x^2 - 3
90pi

42. 30< all primes<40
180 degrees
1
31 - 37
1

43. How to find the circumference of a circle which circumscribes a square?
90 degrees
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
2 & 3/7
An expression with just one term (-6x - 2a^2)

44. Legs: 3 - 4. Hypotenuse?
The overlapping sections.
5
x^(4+7) = x^11
75:11

45. What are the roots of the quadrinomial x^2 + 2x + 1?
(b + c)
A grouping of the members within a set based on a shared characteristic.
The two xes after factoring.
The greatest value minus the smallest.

46. a^2 - b^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)
(a - b)(a + b)
The empty set - denoted by a circle with a diagonal through it.
3/2 - 5/3

47. The larger the absolute value of the slope...
4096
The steeper the slope.
Angle/360 x 2(pi)r
48

48. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Undefined - because we can'T divide by 0.
x= (1.2)(.8)lw
0
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

49. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
Divide by 100.
75:11
A reflection about the axis.
An isosceles right triangle.

50. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(a - b)(a + b)
28. n = 8 - k = 2. n! / k!(n-k)!
27^(-4)