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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 does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(n-2) x 180
83.333%
1

2. Write 10 -843 X 10^7 in scientific notation
The set of elements found in both A and B.
1 & 37/132
1.0843 X 10^11
55%

3. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
6 : 1 : 2
2^9 / 2 = 256
6

4. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
(base*height) / 2
8
The curve opens upward and the vertex is the minimal point on the graph.
Factors are few - multiples are many.

5. What are congruent triangles?
Triangles with same measure and same side lengths.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

6. What is a piecewise equation?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1.7
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Two angles whose sum is 90.

7. Formula to calculate arc length?
The steeper the slope.
1.0843 X 10^11
Sector area = (n/360) X (pi)r^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.

8. Surface area for a cylinder?
3/2 - 5/3
2(pi)r^2 + 2(pi)rh
The set of input values for a function.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

9. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
13pi / 2
Members or elements
The point of intersection of the systems.
2 & 3/7

10. A number is divisible by 3 if ...
... the square of the ratios of the corresponding sides.
The two xes after factoring.
The sum of its digits is divisible by 3.
Undefined - because we can'T divide by 0.

11. What are the integers?
All numbers multiples of 1.
y = 2x^2 - 3
...multiply by 100.
Factors are few - multiples are many.

12. 0^0
(a - b)(a + b)
(a + b)^2
Undefined
Two equal sides and two equal angles.

13. Define an 'expression'.
2.592 kg
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)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Indeterminable.

14. 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?
12! / 5!7! = 792
Members or elements
10! / (10-3)! = 720
A central angle is an angle formed by 2 radii.

15. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
x^(6-3) = x^3
288 (8 9 4)
1/a^6

16. What is the ratio of the sides of an isosceles right triangle?
C = 2(pi)r
...multiply by 100.
1:1:sqrt2
441000 = 1 10 10 10 21 * 21

17. When the 'a' in the parabola is negative...
The union of A and B.
The sum of digits is divisible by 9.
288 (8 9 4)
The curve opens downward and the vertex is the maximum point on the graph.

18. 7/8 in percent?
87.5%
From northeast - counterclockwise. I - II - III - IV
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1.7

19. What is the 'Solution' for a set of inequalities.
x(x - y + 1)
The overlapping sections.
(a - b)^2
I

20. What is the slope of a horizontal line?
0
3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Diameter(Pi)

21. What is a major arc?

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22. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
An arc is a portion of a circumference of a circle.
Its last two digits are divisible by 4.
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)

23. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
1.7
Two angles whose sum is 180.
Even
28. n = 8 - k = 2. n! / k!(n-k)!

24. 6w^2 - w - 15 = 0
3/2 - 5/3
90 degrees
Two equal sides and two equal angles.
F(x) + c

25. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 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...
2
1/a^6

26. 3/8 in percent?
(amount of decrease/original price) x 100%
x(x - y + 1)
37.5%
x^(4+7) = x^11

27. 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
Two angles whose sum is 180.
A 30-60-90 triangle.
Part = Percent X Whole
18

28. Legs 6 - 8. Hypotenuse?
10
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
No - the input value has exactly one output.
41 - 43 - 47

29. Factor a^2 + 2ab + b^2
$11 -448
(a + b)^2
6
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

30. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
N! / (n-k)!
Sqrt 12
10! / 3!(10-3)! = 120

31. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
3 - -3
All numbers multiples of 1.
Two angles whose sum is 90.

32. Pi is a ratio of what to what?

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33. (12sqrt15) / (2sqrt5) =
27^(-4)
(a - b)(a + b)
1
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

34. What is a finite set?
6
A set with a number of elements which can be counted.
F(x-c)
The set of input values for a function.

35. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
I
N! / (n-k)!
2
All numbers multiples of 1.

36. Factor x^2 - xy + x.
2 & 3/7
x(x - y + 1)
.0004809 X 10^11
The steeper the slope.

37. What are the members or elements of a set?
A reflection about the origin.
31 - 37
The objects within a set.
y = 2x^2 - 3

38. 10^6 has how many zeroes?
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...
6
$11 -448
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

39. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
An angle which is supplementary to an interior angle.
A central angle is an angle formed by 2 radii.
2 & 3/7

40. Define a 'Term' -
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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)
A central angle is an angle formed by 2 radii.
20.5

41. Whats the difference between factors and multiples?
Factors are few - multiples are many.
Angle/360 x 2(pi)r
Indeterminable.
3sqrt4

42. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
3sqrt4
23 - 29
4725

43. What is the side length of an equilateral triangle with altitude 6?
Two angles whose sum is 90.
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...
13pi / 2
441000 = 1 10 10 10 21 * 21

44. How many 3-digit positive integers are even and do not contain the digit 4?
When the function is not defined for all real numbers -; only a subset of the real numbers.
5 OR -5
A 30-60-90 triangle.
288 (8 9 4)

45. Formula to find a circle'S circumference from its diameter?
10! / 3!(10-3)! = 120
62.5%
A set with no members - denoted by a circle with a diagonal through it.
C = (pi)d

46. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
Two angles whose sum is 90.
6
10

47. If the two sides of a triangle are unequal then the longer side...
13
Lies opposite the greater angle
(a - b)^2
The overlapping sections.

48. a^0 =
1
x= (1.2)(.8)lw
41 - 43 - 47
A = I (1 + rt)

49. Evaluate 3& 2/7 / 1/3
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.
Factors are few - multiples are many.
9 & 6/7
(amount of decrease/original price) x 100%

50. 413.03 x 10^(-4) =
10! / (10-3)! = 720
413.03 / 10^4 (move the decimal point 4 places to the left)
(a - b)(a + b)
The point of intersection of the systems.