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 calculate arc length?
The union of A and B.
3/2 - 5/3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
20.5

2. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
A circle centered on the origin with radius 8.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
II

3. What is the set of elements which can be found in either A or B?
500
The union of A and B.
1
Angle/360 x (pi)r^2

4. Simplify 9^(1/2) X 4^3 X 2^(-6)?
2^9 / 2 = 256
C = 2(pi)r
3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

5. x^2 = 9. What is the value of x?
3 - -3
12! / 5!7! = 792
12.5%
4096

6. A number is divisible by 4 is...
Its last two digits are divisible by 4.
F(x-c)
180
A chord is a line segment joining two points on a circle.

7. Which quandrant is the lower right hand?
IV
Sector area = (n/360) X (pi)r^2
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)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

8. 25^(1/2) or sqrt. 25 =
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
5 OR -5
23 - 29
Its last two digits are divisible by 4.

9. What is a major arc?

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

10. 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 direction of the inequality is reversed.
A grouping of the members within a set based on a shared characteristic.
Ax^2 + bx + c where a -b and c are constants and a /=0
$3 -500 in the 9% and $2 -500 in the 7%.

11. 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
4096
500
0
18

12. What is the measure of an exterior angle of a regular pentagon?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
23 - 29
72
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

13. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
The third side is greater than the difference and less than the sum.
23 - 29
x= (1.2)(.8)lw

14. 4.809 X 10^7 =
Cd
The interesection of A and B.
.0004809 X 10^11
9 & 6/7

15. Order of quadrants:
0
2(pi)r^2 + 2(pi)rh
From northeast - counterclockwise. I - II - III - IV
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)

16. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
Move the decimal point to the right x places
5 OR -5
75:11
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

17. What is a central angle?
N! / (n-k)!
A central angle is an angle formed by 2 radii.
The union of A and B.
IV

18. Can you simplify sqrt72?
The direction of the inequality is reversed.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
8
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

19. 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 empty set - denoted by a circle with a diagonal through it.
441000 = 1 10 10 10 21 * 21
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(amount of decrease/original price) x 100%

20. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
A subset.
16.6666%
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

21. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
3sqrt4
... the square of the ratios of the corresponding sides.
87.5%

22. Max and Min lengths for a side of a triangle?
83.333%
1.7
The third side is greater than the difference and less than the sum.
18

23. What are the rational numbers?
$11 -448
The curve opens upward and the vertex is the minimal point on the graph.
2sqrt6
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

24. Which is greater? 64^5 or 16^8
G(x) = {x}
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
7 / 1000
11 - 13 - 17 - 19

25. 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)!
61 - 67
A = I (1 + rt)
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

26. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
20.5
130pi
Area of the base X height = (pi)hr^2
83.333%

27. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
441000 = 1 10 10 10 21 * 21
90pi
$3 -500 in the 9% and $2 -500 in the 7%.

28. Area of a triangle?
Factors are few - multiples are many.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1:sqrt3:2
(base*height) / 2

29. 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?
F(x) + c
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)
The set of output values for a function.
500

30. 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?
1/(x^y)
The interesection of A and B.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
y = 2x^2 - 3

31. What is the slope of a vertical line?

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

32. Which quadrant is the upper right hand?
Two angles whose sum is 180.
Undefined
Arc length = (n/360) x pi(2r) where n is the number of degrees.
I

33. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
3sqrt4
Two equal sides and two equal angles.
The second graph is less steep.

34. What is a parabola?
4096
The shortest arc between points A and B on a circle'S diameter.
Ax^2 + bx + c where a -b and c are constants and a /=0
Yes. [i.e. f(x) = x^2 - 1

35. Can you subtract 3sqrt4 from sqrt4?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The two xes after factoring.
Yes - like radicals can be added/subtracted.
1/2 times 7/3

36. What are the integers?
67 - 71 - 73
48
All numbers multiples of 1.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

37. What is the 'union' of A and B?
A reflection about the origin.
(a - b)(a + b)
2^9 / 2 = 256
The set of elements which can be found in either A or B.

38. What are complementary angles?
Two angles whose sum is 90.
3sqrt4
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Move the decimal point to the right x places

39. When the 'a' in a parabola is positive....
61 - 67
.0004809 X 10^11
The curve opens upward and the vertex is the minimal point on the graph.
75:11

40. What is an exterior angle?
Its divisible by 2 and by 3.
An angle which is supplementary to an interior angle.
Members or elements
A subset.

41. Number of degrees in a triangle
1
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 grouping of the members within a set based on a shared characteristic.
180

42. Evaluate (4^3)^2
4096
4a^2(b)
$3 -500 in the 9% and $2 -500 in the 7%.
67 - 71 - 73

43. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A set with a number of elements which can be counted.
...multiply by 100.
A circle centered at -2 - -2 with radius 3.
The overlapping sections.

44. If the two sides of a triangle are unequal then the longer side...
12! / 5!7! = 792
F(x) - c
True
Lies opposite the greater angle

45. Factor x^2 - xy + x.
10! / 3!(10-3)! = 120
x(x - y + 1)
23 - 29
9 : 25

46. a^2 - b^2
An isosceles right triangle.
F(x-c)
(a - b)(a + b)
62.5%

47. Which quadrant is the lower left hand?
37.5%
The set of input values for a function.
III
1:sqrt3:2

48. What is an arc of a circle?
6
7 / 1000
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
An arc is a portion of a circumference of a circle.

49. What is the graph of f(x) shifted right c units or spaces?
1/2 times 7/3
F(x-c)
The sum of its digits is divisible by 3.
All numbers multiples of 1.

50. a^2 + 2ab + b^2
3
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The sum of its digits is divisible by 3.
(a + b)^2