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. 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?
Cd
53 - 59
y = 2x^2 - 3
N! / (n-k)!

2. Factor a^2 + 2ab + b^2
Diameter(Pi)
(a + b)^2
The second graph is less steep.
... the square of the ratios of the corresponding sides.

3. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
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)
Sqrt 12
A reflection about the axis.
.0004809 X 10^11

4. a^0 =
2^9 / 2 = 256
The longest arc between points A and B on a circle'S diameter.
1
G(x) = {x}

5. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
288 (8 9 4)
4:5
6 : 1 : 2
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

6. 5x^2 - 35x -55 = 0
28. n = 8 - k = 2. n! / k!(n-k)!
An arc is a portion of a circumference of a circle.
2.592 kg
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

7. What are the irrational numbers?

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

8. Simplify the expression [(b^2 - c^2) / (b - c)]
The longest arc between points A and B on a circle'S diameter.
Factors are few - multiples are many.
(b + c)
When the function is not defined for all real numbers -; only a subset of the real numbers.

9. What is the graph of f(x) shifted upward c units or spaces?
Indeterminable.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The set of elements found in both A and B.
F(x) + c

10. 2sqrt4 + sqrt4 =
N! / (k!)(n-k)!
0
Undefined - because we can'T divide by 0.
3sqrt4

11. How many 3-digit positive integers are even and do not contain the digit 4?
N! / (n-k)!
288 (8 9 4)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
An isosceles right triangle.

12. How many sides does a hexagon have?
The set of output values for a function.
$3 -500 in the 9% and $2 -500 in the 7%.
F(x) - c
6

13. What is the ratio of the sides of a 30-60-90 triangle?
3
...multiply by 100.
1:sqrt3:2
The shortest arc between points A and B on a circle'S diameter.

14. What is the surface area of a cylinder with radius 5 and height 8?
130pi
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
.0004809 X 10^11
A grouping of the members within a set based on a shared characteristic.

15. 6w^2 - w - 15 = 0
55%
413.03 / 10^4 (move the decimal point 4 places to the left)
An arc is a portion of a circumference of a circle.
3/2 - 5/3

16. The ratio of the areas of two similar polygons is ...
18
Yes - like radicals can be added/subtracted.
... the square of the ratios of the corresponding sides.
27^(-4)

17. Simplify (a^2 + b)^2 - (a^2 - b)^2
A = pi(r^2)
4a^2(b)
3
$11 -448

18. Order of quadrants:
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...
From northeast - counterclockwise. I - II - III - IV
y = (x + 5)/2
.0004809 X 10^11

19. Which quadrant is the upper left hand?
31 - 37
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
II
28. n = 8 - k = 2. n! / k!(n-k)!

20. 40 < all primes<50
(amount of increase/original price) x 100%
Sector area = (n/360) X (pi)r^2
41 - 43 - 47
Yes. [i.e. f(x) = x^2 - 1

21. 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
(a - b)^2
Pi is the ratio of a circle'S circumference to its diameter.
12sqrt2

22. Formula to find a circle'S circumference from its diameter?
The overlapping sections.
Divide by 100.
C = (pi)d
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

23. x^2 = 9. What is the value of x?
3 - -3
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The overlapping sections.
A circle centered on the origin with radius 8.

24. What is the measure of an exterior angle of a regular pentagon?
72
$11 -448
II
The two xes after factoring.

25. What is a central angle?
A central angle is an angle formed by 2 radii.
75:11
y = 2x^2 - 3
...multiply by 100.

26. What is the side length of an equilateral triangle with altitude 6?
x= (1.2)(.8)lw
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...
1
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

27. 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?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
3sqrt4
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
2^9 / 2 = 256

28. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The direction of the inequality is reversed.
Pi is the ratio of a circle'S circumference to its diameter.
An angle which is supplementary to an interior angle.

29. A number is divisible by 4 is...
An isosceles right triangle.
5 OR -5
Its last two digits are divisible by 4.
C = 2(pi)r

30. In a regular polygon with n sides - the formula for the sum of interior angles
87.5%
The shortest arc between points A and B on a circle'S diameter.
(n-2) x 180
F(x + c)

31. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The curve opens downward and the vertex is the maximum point on the graph.
True
A reflection about the origin.

32. Can you subtract 3sqrt4 from sqrt4?
y = 2x^2 - 3
2 & 3/7
Yes - like radicals can be added/subtracted.
53 - 59

33. a^2 - b^2
3
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The curve opens downward and the vertex is the maximum point on the graph.
(a - b)(a + b)

34. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
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
52
The sum of its digits is divisible by 3.
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)

35. What is a parabola?
The greatest value minus the smallest.
Ax^2 + bx + c where a -b and c are constants and a /=0
A central angle is an angle formed by 2 radii.
2^9 / 2 = 256

36. What is the 'domain' of a function?
The set of input values for a function.
1:sqrt3:2
From northeast - counterclockwise. I - II - III - IV
The greatest value minus the smallest.

37. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Two angles whose sum is 90.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1/a^6

38. Evaluate (4^3)^2
1:sqrt3:2
23 - 29
3
4096

39. What is the set of elements found in both A and B?
The interesection of A and B.
3/2 - 5/3
1
The empty set - denoted by a circle with a diagonal through it.

40. 1/6 in percent?
G(x) = {x}
10
16.6666%
A reflection about the axis.

41. 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)
62.5%
2(pi)r^2 + 2(pi)rh
4096
4.25 - 6 - 22

42. 0^0
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...
Undefined
C = (pi)d
A 30-60-90 triangle.

43. 25^(1/2) or sqrt. 25 =
(p + q)/5
The interesection of A and B.
No - only like radicals can be added.
5 OR -5

44. What is the name of set with a number of elements which cannot be counted?
Two angles whose sum is 90.
A reflection about the axis.
An infinite set.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

45. How to determine percent increase?
III
No - only like radicals can be added.
1
(amount of increase/original price) x 100%

46. What is the 'Solution' for a set of inequalities.
3sqrt4
A central angle is an angle formed by 2 radii.
4725
The overlapping sections.

47. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
2 & 3/7
C = 2(pi)r
5 OR -5

48. 30< all primes<40
y = (x + 5)/2
3/2 - 5/3
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
31 - 37

49. Describe the relationship between 3x^2 and 3(x - 1)^2
A circle centered at -2 - -2 with radius 3.
x(x - y + 1)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Two angles whose sum is 180.

50. What are complementary angles?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Two angles whose sum is 90.
F(x) - c
4:5