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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. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
An expression with just one term (-6x - 2a^2)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
9 : 25
x^(2(4)) =x^8 = (x^4)^2

2. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
(n-2) x 180
28. n = 8 - k = 2. n! / k!(n-k)!
.0004809 X 10^11
1

3. Max and Min lengths for a side of a triangle?
75:11
A set with a number of elements which can be counted.
8
The third side is greater than the difference and less than the sum.

4. 10^6 has how many zeroes?
72
413.03 / 10^4 (move the decimal point 4 places to the left)
6
Even

5. Formula of rectangle where l increases by 20% and w decreases by 20%
90pi
x= (1.2)(.8)lw
F(x) + c
1

6. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
1/2 times 7/3
6
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)

7. Which quandrant is the lower right hand?
The set of elements which can be found in either A or B.
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...
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
IV

8. 3/8 in percent?
When the function is not defined for all real numbers -; only a subset of the real numbers.
F(x-c)
41 - 43 - 47
37.5%

9. Whats the difference between factors and multiples?
Factors are few - multiples are many.
288 (8 9 4)
III
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

10. What percent of 40 is 22?
Cd
A tangent is a line that only touches one point on the circumference of a circle.
55%
F(x-c)

11. What are the smallest three prime numbers greater than 65?
3
A circle centered at -2 - -2 with radius 3.
5
67 - 71 - 73

12. What are complementary angles?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(amount of decrease/original price) x 100%
A set with a number of elements which can be counted.
Two angles whose sum is 90.

13. 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?
90
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
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Triangles with same measure and same side lengths.

14. Legs 6 - 8. Hypotenuse?
The interesection of A and B.
10
1
48

15. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
Part = Percent X Whole
90 degrees
Pi is the ratio of a circle'S circumference to its diameter.

16. (a^-1)/a^5
The set of output values for a function.
The empty set - denoted by a circle with a diagonal through it.
(p + q)/5
1/a^6

17. A number is divisible by 4 is...
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Its last two digits are divisible by 4.
(a - b)(a + b)

18. 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?
72
IV
A chord is a line segment joining two points on a circle.
y = 2x^2 - 3

19. What are the integers?
All numbers multiples of 1.
52
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
37.5%

20. In a regular polygon with n sides - the formula for the sum of interior angles
C = (pi)d
...multiply by 100.
An isosceles right triangle.
(n-2) x 180

21. How many 3-digit positive integers are even and do not contain the digit 4?
0
288 (8 9 4)
3
x^(2(4)) =x^8 = (x^4)^2

22. What number between 70 & 75 - inclusive - has the greatest number of factors?
x^(2(4)) =x^8 = (x^4)^2
67 - 71 - 73
72
Part = Percent X Whole

23. Define an 'expression'.
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)
II
The set of output values for a function.
(a - b)(a + b)

24. 60 < all primes <70
1
61 - 67
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Sqrt 12

25. 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?
1
500
A = I (1 + rt)
A 30-60-90 triangle.

26. Can you subtract 3sqrt4 from sqrt4?
Area of the base X height = (pi)hr^2
N! / (n-k)!
Yes - like radicals can be added/subtracted.
A = I (1 + rt)

27. Evaluate (4^3)^2
20.5
90 degrees
4096
48

28. x^2 = 9. What is the value of x?
3 - -3
Two equal sides and two equal angles.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
4725

29. Write 10 -843 X 10^7 in scientific notation
A circle centered at -2 - -2 with radius 3.
1/(x^y)
1.0843 X 10^11
75:11

30. 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 set of elements which can be found in either A or B.
$3 -500 in the 9% and $2 -500 in the 7%.
The longest arc between points A and B on a circle'S diameter.
3

31. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
(n-2) x 180
2^9 / 2 = 256
83.333%

32. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
A set with no members - denoted by a circle with a diagonal through it.
61 - 67
180

33. 7/8 in percent?
87.5%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
55%
37.5%

34. a^2 + 2ab + b^2
(a + b)^2
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)
6
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

35. x^(-y)=
Arc length = (n/360) x pi(2r) where n is the number of degrees.
.0004809 X 10^11
1/(x^y)
1

36. What is the slope of a vertical line?

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37. Simplify the expression (p^2 - q^2)/ -5(q - p)
C = (pi)d
12sqrt2
67 - 71 - 73
(p + q)/5

38. What is the sum of the angles of a triangle?
180 degrees
83.333%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
N! / (n-k)!

39. 20<all primes<30
2^9 / 2 = 256
23 - 29
90 degrees
Triangles with same measure and same side lengths.

40. How to find the circumference of a circle which circumscribes a square?
C = 2(pi)r
90
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
No - the input value has exactly one output.

41. a^2 - b^2
Yes. [i.e. f(x) = x^2 - 1
1
The two xes after factoring.
(a - b)(a + b)

42. 40 < all primes<50
41 - 43 - 47
II
1/2 times 7/3
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

43. 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)?
1
27^(-4)
y = (x + 5)/2
A 30-60-90 triangle.

44. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
... the square of the ratios of the corresponding sides.
N! / (k!)(n-k)!
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

45. What are congruent triangles?
Triangles with same measure and same side lengths.
2 & 3/7
The overlapping sections.
A tangent is a line that only touches one point on the circumference of a circle.

46. If the two sides of a triangle are unequal then the longer side...
1
Undefined - because we can'T divide by 0.
Lies opposite the greater angle
1

47. What is the order of operations?
A circle centered on the origin with radius 8.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Diameter(Pi)

48. x^4 + x^7 =
x^(4+7) = x^11
4:5
413.03 / 10^4 (move the decimal point 4 places to the left)
A reflection about the axis.

49. What is a tangent?
N! / (n-k)!
A tangent is a line that only touches one point on the circumference of a circle.
The point of intersection of the systems.
F(x) + c

50. What is the set of elements which can be found in either A or B?
The union of A and B.
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.
8
441000 = 1 10 10 10 21 * 21