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 triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Part = Percent X Whole
An expression with just one term (-6x - 2a^2)
y = 2x^2 - 3
13pi / 2

2. Write 10 -843 X 10^7 in scientific notation
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
72
2.592 kg
1.0843 X 10^11

3. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/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
A set with a number of elements which can be counted.
True

4. What is the name of set with a number of elements which cannot be counted?
Two angles whose sum is 180.
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)
28. n = 8 - k = 2. n! / k!(n-k)!
An infinite set.

5. What does the graph x^2 + y^2 = 64 look like?
The sum of digits is divisible by 9.
7 / 1000
A circle centered on the origin with radius 8.
A tangent is a line that only touches one point on the circumference of a circle.

6. (12sqrt15) / (2sqrt5) =
$11 -448
An infinite set.
413.03 / 10^4 (move the decimal point 4 places to the left)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

7. The slope of a line perpendicular to (a/b)?
A grouping of the members within a set based on a shared characteristic.
Its negative reciprocal. (-b/a)
A chord is a line segment joining two points on a circle.
x^(6-3) = x^3

8. 6w^2 - w - 15 = 0
Sector area = (n/360) X (pi)r^2
12sqrt2
61 - 67
3/2 - 5/3

9. Can you simplify sqrt72?
Its last two digits are divisible by 4.
The set of elements found in both A and B.
Diameter(Pi)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

10. Which quadrant is the lower left hand?
III
Area of the base X height = (pi)hr^2
53 - 59
20.5

11. What is the slope of a horizontal line?
4096
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(a + b)^2
0

12. What is an arc of a circle?
From northeast - counterclockwise. I - II - III - IV
An arc is a portion of a circumference of a circle.
The third side is greater than the difference and less than the sum.
C = 2(pi)r

13. 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?
The curve opens upward and the vertex is the minimal point on the graph.
1.0843 X 10^11
75:11
1:sqrt3:2

14. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
Its last two digits are divisible by 4.
The curve opens upward and the vertex is the minimal point on the graph.
Two equal sides and two equal angles.

15. A number is divisible by 9 if...
Even
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The sum of digits is divisible by 9.
1/(x^y)

16. 4.809 X 10^7 =
61 - 67
.0004809 X 10^11
Area of the base X height = (pi)hr^2
1:sqrt3:2

17. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2sqrt6
The curve opens downward and the vertex is the maximum point on the graph.
37.5%

18. What is a chord of a circle?
41 - 43 - 47
The curve opens upward and the vertex is the minimal point on the graph.
180 degrees
A chord is a line segment joining two points on a circle.

19. How many multiples does a given number have?
A tangent is a line that only touches one point on the circumference of a circle.
Infinite.
(a - b)(a + b)
...multiply by 100.

20. 30< all primes<40
Factors are few - multiples are many.
An arc is a portion of a circumference of a circle.
The interesection of A and B.
31 - 37

21. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
The sum of its digits is divisible by 3.
70
x^(6-3) = x^3

22. What is the surface area of a cylinder with radius 5 and height 8?
When the function is not defined for all real numbers -; only a subset of the real numbers.
130pi
2(pi)r^2 + 2(pi)rh
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

23. What is the 'Solution' for a set of inequalities.
The sum of its digits is divisible by 3.
The overlapping sections.
No - only like radicals can be added.
16.6666%

24. 10^6 has how many zeroes?
Yes. [i.e. f(x) = x^2 - 1
4096
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
6

25. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Angle/360 x (pi)r^2
The interesection of A and B.
87.5%
1

26. What is the name for a grouping of the members within a set based on a shared characteristic?
Its divisible by 2 and by 3.
37.5%
.0004809 X 10^11
A subset.

27. What are the irrational numbers?

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

28. 40 < all primes<50
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
500
41 - 43 - 47

29. How to find the area of a sector?
The sum of its digits is divisible by 3.
The interesection of A and B.
Angle/360 x (pi)r^2
x(x - y + 1)

30. What is a major arc?

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

31. How to determine percent decrease?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(amount of decrease/original price) x 100%
3
37.5%

32. What is the intersection of A and B?
The longest arc between points A and B on a circle'S diameter.
2 & 3/7
The set of elements found in both A and B.
The curve opens downward and the vertex is the maximum point on the graph.

33. How to determine percent increase?
55%
(amount of increase/original price) x 100%
70
Move the decimal point to the right x places

34. What are the integers?
The empty set - denoted by a circle with a diagonal through it.
3
1
All numbers multiples of 1.

35. What are the rational numbers?
(p + q)/5
Two angles whose sum is 180.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
F(x-c)

36. Circumference of a circle?
F(x) + c
A reflection about the origin.
Diameter(Pi)
Even

37. a^0 =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
6
13
1

38. 413.03 x 10^(-4) =
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1.7
413.03 / 10^4 (move the decimal point 4 places to the left)
(a - b)(a + b)

39. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
9 & 6/7
(amount of decrease/original price) x 100%
2
2^9 / 2 = 256

40. Which is greater? 64^5 or 16^8
The shortest arc between points A and B on a circle'S diameter.
Infinite.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The union of A and B.

41. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
6
C = (pi)d
1:1:sqrt2

42. 70 < all primes< 80
71 - 73 - 79
G(x) = {x}
10! / 3!(10-3)! = 120
6

43. What is the 'Solution' for a system of linear equations?
(base*height) / 2
The point of intersection of the systems.
9 & 6/7
Angle/360 x (pi)r^2

44. A number is divisible by 6 if...
Its divisible by 2 and by 3.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
5
6 : 1 : 2

45. When the 'a' in a parabola is positive....
6
The curve opens upward and the vertex is the minimal point on the graph.
The two xes after factoring.
90

46. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
The curve opens upward and the vertex is the minimal point on the graph.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
2^9 / 2 = 256
C = (pi)d

47. What is a subset?
A grouping of the members within a set based on a shared characteristic.
Two angles whose sum is 90.
An infinite set.
2 & 3/7

48. Formula for the area of a circle?
...multiply by 100.
4096
Divide by 100.
A = pi(r^2)

49. x^(-y)=
Its negative reciprocal. (-b/a)
y = 2x^2 - 3
1/(x^y)
An infinite set.

50. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
Move the decimal point to the right x places
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
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