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 + 2ab + b^2
C = 2(pi)r
(a + b)^2
G(x) = {x}
1:sqrt3:2

2. What is the intersection of A and B?
The set of elements found in both A and B.
4:5
The second graph is less steep.
Factors are few - multiples are many.

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)
Diameter(Pi)
x^(6-3) = x^3
4.25 - 6 - 22
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

4. How to find the circumference of a circle which circumscribes a square?
The steeper the slope.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A reflection about the axis.

5. 30< all primes<40
87.5%
31 - 37
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 + b)^2

6. Which quandrant is the lower right hand?
441000 = 1 10 10 10 21 * 21
No - only like radicals can be added.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
IV

7. a^2 - 2ab + b^2
3
y = (x + 5)/2
(a - b)^2
Even

8. What is the 'domain' of a function?
16.6666%
53 - 59
The set of input values for a function.
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)

9. Can the output value of a function have more than one input value?
4725
F(x + c)
Yes. [i.e. f(x) = x^2 - 1
(amount of decrease/original price) x 100%

10. What is a central angle?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Ax^2 + bx + c where a -b and c are constants and a /=0
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 central angle is an angle formed by 2 radii.

11. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
(n-2) x 180
90 degrees
Two equal sides and two equal angles.
0

12. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
A reflection about the origin.
5 OR -5
$3 -500 in the 9% and $2 -500 in the 7%.

13. What are the members or elements of a set?
Angle/360 x (pi)r^2
The objects within a set.
13
1

14. 1/8 in percent?
9 & 6/7
(n-2) x 180
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
12.5%

15. A number is divisible by 9 if...
The sum of digits is divisible by 9.
413.03 / 10^4 (move the decimal point 4 places to the left)
An isosceles right triangle.
Angle/360 x (pi)r^2

16. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
The shortest arc between points A and B on a circle'S diameter.
41 - 43 - 47
Its negative reciprocal. (-b/a)
12! / 5!7! = 792

17. What is an arc of a circle?
y = 2x^2 - 3
An arc is a portion of a circumference of a circle.
37.5%
16.6666%

18. What is the 'Solution' for a set of inequalities.
The overlapping sections.
The set of elements which can be found in either A or B.
20.5
An infinite set.

19. What is the formula for compounded interest?
A = I (1 + rt)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The steeper the slope.
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.

20. 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?
(amount of decrease/original price) x 100%
500
Angle/360 x (pi)r^2
1.7

21. 7/8 in percent?
Yes - like radicals can be added/subtracted.
2
87.5%
II

22. 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
Cd
F(x) + c
C = (pi)d
18

23. What is the absolute value function?
1.7
G(x) = {x}
Divide by 100.
The curve opens upward and the vertex is the minimal point on the graph.

24. What is the set of elements which can be found in either A or B?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
500
The union of A and B.
16.6666%

25. Max and Min lengths for a side of a triangle?
10! / (10-3)! = 720
3 - -3
Sqrt 12
The third side is greater than the difference and less than the sum.

26. 5/6 in percent?
90pi
An angle which is supplementary to an interior angle.
Sqrt 12
83.333%

27. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
x^(2(4)) =x^8 = (x^4)^2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
$11 -448

28. Circumference of a circle?
(n-2) x 180
Diameter(Pi)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
6

29. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
6
7 / 1000
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

30. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
10! / 3!(10-3)! = 120
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
48
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

31. 70 < all primes< 80
71 - 73 - 79
C = 2(pi)r
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
52

32. To multiply a number by 10^x
A set with no members - denoted by a circle with a diagonal through it.
Move the decimal point to the right x places
2sqrt6
The point of intersection of the systems.

33. What is the 'union' of A and B?
Angle/360 x (pi)r^2
y = (x + 5)/2
90
The set of elements which can be found in either A or B.

34. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
413.03 / 10^4 (move the decimal point 4 places to the left)
3
The set of elements found in both A and B.
9 : 25

35. What is a chord of a circle?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
True
A chord is a line segment joining two points on a circle.
90pi

36. Formula to find a circle'S circumference from its diameter?
Two equal sides and two equal angles.
Pi is the ratio of a circle'S circumference to its diameter.
C = (pi)d
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)

37. How to determine percent increase?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Divide by 100.
(amount of increase/original price) x 100%
.0004809 X 10^11

38. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
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.
1
37.5%

39. What is the name of set with a number of elements which cannot be counted?
An infinite set.
23 - 29
2
3/2 - 5/3

40. a^2 - b^2
x^(4+7) = x^11
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A tangent is a line that only touches one point on the circumference of a circle.
(a - b)(a + b)

41. What are the rational numbers?
Even
75:11
0
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

42. 413.03 x 10^(-4) =
180
Divide by 100.
$3 -500 in the 9% and $2 -500 in the 7%.
413.03 / 10^4 (move the decimal point 4 places to the left)

43. Solve the quadratic equation ax^2 + bx + c= 0
6
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)
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)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

44. What is a parabola?
The objects within a set.
3sqrt4
Ax^2 + bx + c where a -b and c are constants and a /=0
IV

45. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
The second graph is less steep.
4096
$3 -500 in the 9% and $2 -500 in the 7%.
55%

46. x^4 + x^7 =
288 (8 9 4)
x^(4+7) = x^11
Ax^2 + bx + c where a -b and c are constants and a /=0
2sqrt6

47. What is the percent formula?
Part = Percent X Whole
The direction of the inequality is reversed.
No - the input value has exactly one output.
90pi

48. What is a minor arc?

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

49. What is the maximum value for the function g(x) = (-2x^2) -1?
C = 2(pi)r
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)
Undefined
1

50. What is the slope of a horizontal line?
Triangles with same measure and same side lengths.
0
Infinite.
The third side is greater than the difference and less than the sum.