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. Formula to find a circle'S circumference from its radius?
A grouping of the members within a set based on a shared characteristic.
C = 2(pi)r
52
72

2. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
The point of intersection of the systems.
The set of elements which can be found in either A or B.
(a + b)^2
An isosceles right triangle.

3. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
11 - 13 - 17 - 19
(a - b)^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

4. What is the formula for compounded interest?
An arc is a portion of a circumference of a circle.
130pi
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.
1.7

5. How to find the area of a sector?
75:11
The set of output values for a function.
Angle/360 x (pi)r^2
Sqrt 12

6. How to determine percent decrease?
x= (1.2)(.8)lw
(amount of decrease/original price) x 100%
An expression with just one term (-6x - 2a^2)
(a - b)(a + b)

7. Factor a^2 + 2ab + b^2
The greatest value minus the smallest.
x^(4+7) = x^11
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)
(a + b)^2

8. How to find the diagonal of a rectangular solid?
F(x) + c
41 - 43 - 47
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Undefined

9. What is an arc of a circle?
A set with a number of elements which can be counted.
Indeterminable.
Sector area = (n/360) X (pi)r^2
An arc is a portion of a circumference of a circle.

10. What is the name for a grouping of the members within a set based on a shared characteristic?
1
True
(a + b)^2
A subset.

11. Which quadrant is the upper left hand?
180
II
C = (pi)d
Lies opposite the greater angle

12. What is the graph of f(x) shifted left c units or spaces?
1:sqrt3:2
The sum of digits is divisible by 9.
2sqrt6
F(x + c)

13. How to find the circumference of a circle which circumscribes a square?
Its last two digits are divisible by 4.
1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
18

14. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
The sum of its digits is divisible by 3.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1

15. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
...multiply by 100.
13
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

16. What is a central angle?
5
A central angle is an angle formed by 2 radii.
1 & 37/132
C = (pi)d

17. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / (10-3)! = 720
10! / 3!(10-3)! = 120
2 & 3/7
Two angles whose sum is 180.

18. When the 'a' in the parabola is negative...
C = (pi)d
The curve opens downward and the vertex is the maximum point on the graph.
Area of the base X height = (pi)hr^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

19. Formula to calculate arc length?
.0004809 X 10^11
An arc is a portion of a circumference of a circle.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Area of the base X height = (pi)hr^2

20. The larger the absolute value of the slope...
2^9 / 2 = 256
The direction of the inequality is reversed.
23 - 29
The steeper the slope.

21. What is the formula for computing simple interest?
1/(x^y)
The overlapping sections.
A = I (1 + rt)
A circle centered at -2 - -2 with radius 3.

22. How many 3-digit positive integers are even and do not contain the digit 4?
The curve opens downward and the vertex is the maximum point on the graph.
288 (8 9 4)
0
2

23. (-1)^2 =
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...
Cd
1
180 degrees

24. How many sides does a hexagon have?
(a + b)^2
48
70
6

25. What is the 'Range' of a series of numbers?
500
N! / (n-k)!
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
The greatest value minus the smallest.

26. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
2 & 3/7
Two angles whose sum is 90.
An angle which is supplementary to an interior angle.

27. 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.
90 degrees
An angle which is supplementary to an interior angle.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A circle centered at -2 - -2 with radius 3.

28. Define an 'expression'.
The direction of the inequality is reversed.
C = (pi)d
(a - b)(a + b)
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)

29. 10<all primes<20
16.6666%
12! / 5!7! = 792
11 - 13 - 17 - 19
The direction of the inequality is reversed.

30. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
Its last two digits are divisible by 4.
$3 -500 in the 9% and $2 -500 in the 7%.
37.5%

31. 4.809 X 10^7 =
The set of elements which can be found in either A or B.
.0004809 X 10^11
The set of input values for a function.
The sum of digits is divisible by 9.

32. What are 'Supplementary angles?'
Two angles whose sum is 180.
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.
28. n = 8 - k = 2. n! / k!(n-k)!
The empty set - denoted by a circle with a diagonal through it.

33. What is a set with no members called?
F(x + c)
The empty set - denoted by a circle with a diagonal through it.
1/(x^y)
...multiply by 100.

34. 8.84 / 5.2
1.7
1
From northeast - counterclockwise. I - II - III - IV
The overlapping sections.

35. What are the members or elements of a set?
The objects within a set.
Diameter(Pi)
The two xes after factoring.
0

36. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
90pi
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

37. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
10
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Ax^2 + bx + c where a -b and c are constants and a /=0

38. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
61 - 67
The sum of its digits is divisible by 3.
II

39. What is the 'union' of A and B?
Cd
1.0843 X 10^11
The set of elements which can be found in either A or B.
2sqrt6

40. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
1:1:sqrt2
The set of elements which can be found in either A or B.
4:5
13pi / 2

41. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Yes. [i.e. f(x) = x^2 - 1
90 degrees
28. n = 8 - k = 2. n! / k!(n-k)!
288 (8 9 4)

42. What is the 'Range' of a function?
0
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The empty set - denoted by a circle with a diagonal through it.
The set of output values for a function.

43. Surface area for a cylinder?
The interesection of A and B.
A reflection about the axis.
The curve opens downward and the vertex is the maximum point on the graph.
2(pi)r^2 + 2(pi)rh

44. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
9 : 25
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1
(amount of increase/original price) x 100%

45. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The curve opens upward and the vertex is the minimal point on the graph.
True

46. What are the irrational numbers?

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

47. What is a minor arc?

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

48. A number is divisible by 4 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.
(amount of decrease/original price) x 100%
Its last two digits are divisible by 4.

49. What is the measure of an exterior angle of a regular pentagon?
72
The direction of the inequality is reversed.
3
2^9 / 2 = 256

50. What number between 70 & 75 - inclusive - has the greatest number of factors?
37.5%
72
52
All numbers multiples of 1.