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. Factor x^2 - xy + x.
x(x - y + 1)
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)
Members or elements
F(x) - c

2. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
Its divisible by 2 and by 3.
y = (x + 5)/2
x^(6-3) = x^3

3. Surface area for a cylinder?
A grouping of the members within a set based on a shared characteristic.
1:sqrt3:2
The shortest arc between points A and B on a circle'S diameter.
2(pi)r^2 + 2(pi)rh

4. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
62.5%
2^9 / 2 = 256
The point of intersection of the systems.
A 30-60-90 triangle.

5. Whats the difference between factors and multiples?
6
Factors are few - multiples are many.
31 - 37
IV

6. 2sqrt4 + sqrt4 =
1
3sqrt4
27^(-4)
A = pi(r^2)

7. Formula for the area of a sector of a circle?
An expression with just one term (-6x - 2a^2)
2(pi)r^2 + 2(pi)rh
Sector area = (n/360) X (pi)r^2
10! / 3!(10-3)! = 120

8. How to determine percent increase?
10
When the function is not defined for all real numbers -; only a subset of the real numbers.
Its divisible by 2 and by 3.
(amount of increase/original price) x 100%

9. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
(base*height) / 2
(a - b)(a + b)
4096
12! / 5!7! = 792

10. What is the formula for compounded interest?
Its last two digits are divisible by 4.
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.
Lies opposite the greater angle
(a + b)^2

11. a^2 - b^2 =
All numbers multiples of 1.
(a - b)(a + b)
A circle centered at -2 - -2 with radius 3.
A reflection about the origin.

12. A number is divisible by 3 if ...
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
9 & 6/7
The sum of its digits is divisible by 3.
1

13. What is a finite set?
A set with a number of elements which can be counted.
Yes. [i.e. f(x) = x^2 - 1
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Even

14. What are the irrational numbers?

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

15. x^4 + x^7 =
x= (1.2)(.8)lw
(base*height) / 2
x^(4+7) = x^11
2.592 kg

16. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
III
2 & 3/7
IV

17. Length of an arc of a circle?
Angle/360 x 2(pi)r
Two equal sides and two equal angles.
1.0843 X 10^11
2^9 / 2 = 256

18. What are the rational numbers?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1

19. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
(a - b)(a + b)
The longest arc between points A and B on a circle'S diameter.
An expression with just one term (-6x - 2a^2)
4725

20. What is the sum of the angles of a triangle?
Its last two digits are divisible by 4.
The interesection of A and B.
180 degrees
(a - b)(a + b)

21. Formula to find a circle'S circumference from its radius?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A circle centered at -2 - -2 with radius 3.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
C = 2(pi)r

22. When the 'a' in the parabola is negative...
The set of elements found in both A and B.
48
C = (pi)d
The curve opens downward and the vertex is the maximum point on the graph.

23. What is the slope of a horizontal line?
1.7
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)
0
The shortest arc between points A and B on a circle'S diameter.

24. What are the integers?
Ax^2 + bx + c where a -b and c are constants and a /=0
Part = Percent X Whole
All numbers multiples of 1.
4.25 - 6 - 22

25. What is the maximum value for the function g(x) = (-2x^2) -1?
5
27^(-4)
5 OR -5
1

26. What are the real numbers?
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 steeper the slope.
4.25 - 6 - 22
The overlapping sections.

27. Legs: 3 - 4. Hypotenuse?
.0004809 X 10^11
5
48
500

28. Simplify the expression [(b^2 - c^2) / (b - c)]
Factors are few - multiples are many.
The empty set - denoted by a circle with a diagonal through it.
(b + c)
12sqrt2

29. What is the measure of an exterior angle of a regular pentagon?
2.592 kg
72
4a^2(b)
41 - 43 - 47

30. a^2 + 2ab + b^2
(a + b)^2
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)
Divide by 100.
The direction of the inequality is reversed.

31. sqrt 2(sqrt 6)=
Sqrt 12
A 30-60-90 triangle.
53 - 59
Indeterminable.

32. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
2sqrt6
$3 -500 in the 9% and $2 -500 in the 7%.
(n-2) x 180

33. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
Angle/360 x 2(pi)r
83.333%
The steeper the slope.

34. What is the intersection of A and B?
The set of elements found in both A and B.
1:1:sqrt2
12sqrt2
I

35. What is the 'Restricted domain of a function'?
27^(-4)
Even
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)
When the function is not defined for all real numbers -; only a subset of the real numbers.

36. x^(-y)=
5
A = pi(r^2)
III
1/(x^y)

37. The objects in a set are called two names:
The steeper the slope.
1:sqrt3:2
Members or elements
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

38. How many 3-digit positive integers are even and do not contain the digit 4?
1
72
288 (8 9 4)
(a + b)^2

39. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
83.333%
The direction of the inequality is reversed.
The point of intersection of the systems.
A reflection about the origin.

40. Which is greater? 200x^295 or 10x^294?
1/a^6
Relationship cannot be determined (what if x is negative?)
Its negative reciprocal. (-b/a)
Members or elements

41. To convert a percent to a fraction....
The second graph is less steep.
(b + c)
9 & 6/7
Divide by 100.

42. P and r are factors of 100. What is greater - pr or 100?
An isosceles right triangle.
2.592 kg
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Indeterminable.

43. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
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)
.0004809 X 10^11
Infinite.

44. Convert 0.7% to a fraction.
The direction of the inequality is reversed.
7 / 1000
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
48

45. What is a chord of a circle?
Yes - like radicals can be added/subtracted.
A chord is a line segment joining two points on a circle.
3sqrt4
4.25 - 6 - 22

46. 1/8 in percent?
12.5%
(b + c)
2^9 / 2 = 256
90

47. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
1 & 37/132
The objects within a set.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

48. A number is divisible by 6 if...
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
(amount of decrease/original price) x 100%
Angle/360 x 2(pi)r
Its divisible by 2 and by 3.

49. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
F(x-c)
True
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A reflection about the origin.

50. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
4725
2.592 kg
5 OR -5
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.