Test your basic knowledge |

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. a^2 - b^2
7 / 1000
413.03 / 10^4 (move the decimal point 4 places to the left)
18
(a - b)(a + b)

2. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
y = 2x^2 - 3
$11 -448
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A set with a number of elements which can be counted.

3. Define a 'Term' -
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)
5 OR -5
The union of A and B.

4. Whats the difference between factors and multiples?
2.592 kg
Factors are few - multiples are many.
Diameter(Pi)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

5. What is the 'Range' of a function?
90
The set of output values for a function.
1.0843 X 10^11
An infinite set.

6. 10^6 has how many zeroes?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The direction of the inequality is reversed.
A 30-60-90 triangle.
6

7. What is the empty set?
The sum of its digits is divisible by 3.
6
Triangles with same measure and same side lengths.
A set with no members - denoted by a circle with a diagonal through it.

8. What is an exterior angle?
130pi
An angle which is supplementary to an interior angle.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

9. What is the graph of f(x) shifted downward c units or spaces?
Sector area = (n/360) X (pi)r^2
F(x) - c
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

10. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Diameter(Pi)
12.5%

11. Can you subtract 3sqrt4 from sqrt4?
Two angles whose sum is 180.
The set of input values for a function.
The direction of the inequality is reversed.
Yes - like radicals can be added/subtracted.

12. If the two sides of a triangle are unequal then the longer side...
4a^2(b)
Area of the base X height = (pi)hr^2
Lies opposite the greater angle
The set of elements which can be found in either A or B.

13. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
The set of elements found in both A and B.
The longest arc between points A and B on a circle'S diameter.
IV

14. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
x(x - y + 1)
x= (1.2)(.8)lw
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

15. Simplify the expression (p^2 - q^2)/ -5(q - p)
...multiply by 100.
23 - 29
(p + q)/5
83.333%

16. 4.809 X 10^7 =
55%
.0004809 X 10^11
67 - 71 - 73
Yes. [i.e. f(x) = x^2 - 1

17. Can you simplify sqrt72?
The two xes after factoring.
An angle which is supplementary to an interior angle.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
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. Legs 6 - 8. Hypotenuse?
10
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
x^(6-3) = x^3
72

19. 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
18
The shortest arc between points A and B on a circle'S diameter.
(p + q)/5
x^(6-3) = x^3

20. The larger the absolute value of the slope...
N! / (n-k)!
The steeper the slope.
(a + b)^2
90

21. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
True
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)
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...
$11 -448

22. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
180 degrees
The set of elements found in both A and B.
A circle centered on the origin with radius 8.

23. Evaluate 4/11 + 11/12
1.0843 X 10^11
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1 & 37/132
10! / (10-3)! = 720

24. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
An expression with just one term (-6x - 2a^2)
y = (x + 5)/2
A circle centered at -2 - -2 with radius 3.

25. What is the name for a grouping of the members within a set based on a shared characteristic?
The point of intersection of the systems.
Divide by 100.
A subset.
No - the input value has exactly one output.

26. a^0 =
1
Even
A circle centered on the origin with radius 8.
y = 2x^2 - 3

27. To convert a percent to a fraction....
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
27^(-4)
0
Divide by 100.

28. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
413.03 / 10^4 (move the decimal point 4 places to the left)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Angle/360 x (pi)r^2

29. What is the slope of a horizontal line?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
13
0
55%

30. 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?
The second graph is less steep.
441000 = 1 10 10 10 21 * 21
When the function is not defined for all real numbers -; only a subset of the real numbers.
F(x + c)

31. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
A set with no members - denoted by a circle with a diagonal through it.
... the square of the ratios of the corresponding sides.
$3 -500 in the 9% and $2 -500 in the 7%.

32. When the 'a' in the parabola is negative...
The greatest value minus the smallest.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The curve opens downward and the vertex is the maximum point on the graph.
8

33. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
27^(-4)
(b + c)
The set of elements which can be found in either A or B.

34. 50 < all primes< 60
2(pi)r^2 + 2(pi)rh
53 - 59
48
When the function is not defined for all real numbers -; only a subset of the real numbers.

35. Reduce: 4.8 : 0.8 : 1.6
441000 = 1 10 10 10 21 * 21
6 : 1 : 2
The objects within a set.
x= (1.2)(.8)lw

36. A number is divisible by 4 is...
1/(x^y)
12! / 5!7! = 792
Its last two digits are divisible by 4.
(a - b)^2

37. 60 < all primes <70
61 - 67
Infinite.
6
An arc is a portion of a circumference of a circle.

38. (a^-1)/a^5
52
1/a^6
90 degrees
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

39. Evaluate (4^3)^2
4096
Two angles whose sum is 90.
23 - 29
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

40. What are complementary angles?
3sqrt4
F(x + c)
An arc is a portion of a circumference of a circle.
Two angles whose sum is 90.

41. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
An angle which is supplementary to an interior angle.
A reflection about the origin.
Sqrt 12
0

42. What are the members or elements of a set?
Infinite.
The point of intersection of the systems.
The objects within a set.
72

43. 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)
55%
The point of intersection of the systems.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
4.25 - 6 - 22

44. What is the set of elements which can be found in either A or B?
The union of A and B.
180
The greatest value minus the smallest.
(a - b)^2

45. What is a minor arc?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

46. What is the 'domain' of a function?
4:5
Two angles whose sum is 90.
The set of input values for a function.
(a - b)^2

47. a^2 - b^2 =
(a - b)(a + b)
1:sqrt3:2
The overlapping sections.
Two angles whose sum is 180.

48. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
All numbers multiples of 1.
12! / 5!7! = 792

49. A number is divisible by 6 if...
Its divisible by 2 and by 3.
An angle which is supplementary to an interior angle.
4a^2(b)
The sum of digits is divisible by 9.

50. 8.84 / 5.2
x= (1.2)(.8)lw
12.5%
3/2 - 5/3
1.7