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. What are the smallest three prime numbers greater than 65?
20.5
N! / (n-k)!
67 - 71 - 73
Infinite.

2. Legs: 3 - 4. Hypotenuse?
5
Members or elements
.0004809 X 10^11
A set with no members - denoted by a circle with a diagonal through it.

3. Circumference of a circle?
Infinite.
Diameter(Pi)
The empty set - denoted by a circle with a diagonal through it.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

4. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Infinite.
28. n = 8 - k = 2. n! / k!(n-k)!
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

5. What is an exterior angle?
180
1/a^6
An angle which is supplementary to an interior angle.
(n-2) x 180

6. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
No - the input value has exactly one output.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
C = 2(pi)r

7. Describe the relationship between the graphs of x^2 and (1/2)x^2
130pi
180 degrees
90
The second graph is less steep.

8. sqrt 2(sqrt 6)=
The overlapping sections.
1:1:sqrt2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Sqrt 12

9. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A = pi(r^2)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1

10. 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?
500
12sqrt2
75:11
The union of A and B.

11. To convert a percent to a fraction....
The steeper the slope.
28. n = 8 - k = 2. n! / k!(n-k)!
Divide by 100.
The set of output values for a function.

12. What are the members or elements of a set?
(n-2) x 180
The objects within a set.
31 - 37
y = (x + 5)/2

13. Which quadrant is the upper right hand?
0
I
N! / (n-k)!
10

14. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
The greatest value minus the smallest.
x^(6-3) = x^3
(n-2) x 180
2 & 3/7

15. 40 < all primes<50
A 30-60-90 triangle.
x^(2(4)) =x^8 = (x^4)^2
41 - 43 - 47
y = 2x^2 - 3

16. 60 < all primes <70
8
20.5
61 - 67
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

17. Formula for the area of a circle?
72
7 / 1000
A = pi(r^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)

18. 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?
Yes. [i.e. f(x) = x^2 - 1
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A subset.
441000 = 1 10 10 10 21 * 21

19. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Diameter(Pi)
... the square of the ratios of the corresponding sides.

20. What are the irrational numbers?

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

21. Simplify the expression [(b^2 - c^2) / (b - c)]
1
(b + c)
y = (x + 5)/2
An arc is a portion of a circumference of a circle.

22. What is an isoceles triangle?
3
3/2 - 5/3
Two equal sides and two equal angles.
Ax^2 + bx + c where a -b and c are constants and a /=0

23. 10<all primes<20
413.03 / 10^4 (move the decimal point 4 places to the left)
11 - 13 - 17 - 19
II
87.5%

24. What is a parabola?
71 - 73 - 79
37.5%
Ax^2 + bx + c where a -b and c are constants and a /=0
413.03 / 10^4 (move the decimal point 4 places to the left)

25. What are congruent triangles?
37.5%
3 - -3
Triangles with same measure and same side lengths.
All numbers multiples of 1.

26. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
8
$3 -500 in the 9% and $2 -500 in the 7%.
1
Cd

27. What is the 'Range' of a series of numbers?
F(x) - c
28. n = 8 - k = 2. n! / k!(n-k)!
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The greatest value minus the smallest.

28. A number is divisible by 6 if...
Its divisible by 2 and by 3.
Undefined
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
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

29. 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)?
3/2 - 5/3
90 degrees
y = (x + 5)/2
1

30. What is the graph of f(x) shifted right c units or spaces?
The interesection of A and B.
F(x-c)
4:5
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

31. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
11 - 13 - 17 - 19
2
1/(x^y)
4.25 - 6 - 22

32. What is the ratio of the sides of an isosceles right triangle?
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...
5 OR -5
The objects within a set.
1:1:sqrt2

33. How to find the area of a sector?
Angle/360 x (pi)r^2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1
67 - 71 - 73

34. (-1)^2 =
1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Its divisible by 2 and by 3.
A set with no members - denoted by a circle with a diagonal through it.

35. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
The sum of its digits is divisible by 3.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Angle/360 x (pi)r^2
1

36. Can you simplify sqrt72?
6
5
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
An expression with just one term (-6x - 2a^2)

37. What is the set of elements which can be found in either A or B?
Angle/360 x 2(pi)r
N! / (n-k)!
The union of A and B.
Members or elements

38. What is the 'Restricted domain of a function'?
3sqrt4
2
3
When the function is not defined for all real numbers -; only a subset of the real numbers.

39. 10^6 has how many zeroes?
$11 -448
6
1
3/2 - 5/3

40. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
Indeterminable.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
27^(-4)

41. Evaluate (4^3)^2
Sector area = (n/360) X (pi)r^2
x^(6-3) = x^3
4096
83.333%

42. 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?
(a - b)(a + b)
1
441000 = 1 10 10 10 21 * 21
10! / (10-3)! = 720

43. What is the graph of f(x) shifted upward c units or spaces?
2.592 kg
F(x) + c
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

44. Order of quadrants:
A tangent is a line that only touches one point on the circumference of a circle.
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)
27^(-4)
From northeast - counterclockwise. I - II - III - IV

45. Formula to find a circle'S circumference from its radius?
(b + c)
An angle which is supplementary to an interior angle.
A set with a number of elements which can be counted.
C = 2(pi)r

46. What are the integers?
All numbers multiples of 1.
The set of output values for a function.
IV
1

47. What is a piecewise equation?
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
Its last two digits are divisible by 4.
41 - 43 - 47

48. 6w^2 - w - 15 = 0
3/2 - 5/3
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...
A circle centered at -2 - -2 with radius 3.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

49. 5/8 in percent?
90
62.5%
2.592 kg
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

50. Which is greater? 64^5 or 16^8
4:5
The set of output values for a function.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
A subset.