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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. To multiply a number by 10^x
F(x) + c
1/a^6
Yes - like radicals can be added/subtracted.
Move the decimal point to the right x places

2. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
The set of elements which can be found in either A or B.
II
20.5

3. Which is greater? 27^(-4) or 9^(-8)
(amount of increase/original price) x 100%
27^(-4)
The direction of the inequality is reversed.
48

4. What is the name of set with a number of elements which cannot be counted?
4725
Sqrt 12
4a^2(b)
An infinite set.

5. 5x^2 - 35x -55 = 0
1
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
All numbers multiples of 1.
Two angles whose sum is 180.

6. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
11 - 13 - 17 - 19
70
5 OR -5

7. What is the ratio of the sides of a 30-60-90 triangle?
A circle centered on the origin with radius 8.
Two angles whose sum is 90.
1:sqrt3:2
Undefined

8. What is the 'Range' of a function?
A chord is a line segment joining two points on a circle.
The set of output values for a function.
F(x + c)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

9. Evaluate (4^3)^2
4096
Two angles whose sum is 90.
The second graph is less steep.
F(x-c)

10. What is the intersection of A and B?
4096
7 / 1000
(a - b)(a + b)
The set of elements found in both A and B.

11. What is the absolute value function?
G(x) = {x}
1:1:sqrt2
$11 -448
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

12. 8.84 / 5.2
C = (pi)d
1.7
8
Sqrt 12

13. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
Sqrt 12
1.0843 X 10^11
A subset.
10! / 3!(10-3)! = 120

14. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
41 - 43 - 47
No - only like radicals can be added.
90 degrees
441000 = 1 10 10 10 21 * 21

15. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
y = 2x^2 - 3
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)
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.

16. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
A set with no members - denoted by a circle with a diagonal through it.
1
Relationship cannot be determined (what if x is negative?)

17. Volume for a cylinder?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Area of the base X height = (pi)hr^2
(base*height) / 2
16.6666%

18. 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?
13pi / 2
500
(a + b)^2
From northeast - counterclockwise. I - II - III - IV

19. 60 < all primes <70
Members or elements
$11 -448
71 - 73 - 79
61 - 67

20. Which quadrant is the lower left hand?
16.6666%
(a - b)^2
III
4096

21. What is an exterior angle?
75:11
(a + b)^2
An angle which is supplementary to an interior angle.
2

22. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
1
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A circle centered at -2 - -2 with radius 3.

23. Write 10 -843 X 10^7 in scientific notation
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)
Sqrt 12
(n-2) x 180
1.0843 X 10^11

24. x^(-y)=
A tangent is a line that only touches one point on the circumference of a circle.
1/(x^y)
The set of input values for a function.
x^(6-3) = x^3

25. What number between 70 & 75 - inclusive - has the greatest number of factors?
F(x-c)
10! / (10-3)! = 720
72
Angle/360 x 2(pi)r

26. 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?
The steeper the slope.
The curve opens downward and the vertex is the maximum point on the graph.
2.592 kg
12sqrt2

27. (x^2)^4
The direction of the inequality is reversed.
y = (x + 5)/2
Yes - like radicals can be added/subtracted.
x^(2(4)) =x^8 = (x^4)^2

28. x^6 / x^3
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
... the square of the ratios of the corresponding sides.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
x^(6-3) = x^3

29. Order of quadrants:
C = 2(pi)r
A tangent is a line that only touches one point on the circumference of a circle.
From northeast - counterclockwise. I - II - III - IV
1

30. If the two sides of a triangle are unequal then the longer side...
31 - 37
87.5%
Lies opposite the greater angle
2

31. What is a major arc?

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32. What are complementary angles?
An arc is a portion of a circumference of a circle.
Two angles whose sum is 90.
9 : 25
1

33. What is the ratio of the sides of an isosceles right triangle?
The steeper the slope.
1:1:sqrt2
x^(2(4)) =x^8 = (x^4)^2
1

34. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
53 - 59
Undefined
37.5%

35. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
An angle which is supplementary to an interior angle.
55%
Factors are few - multiples are many.

36. a^2 - b^2
(a - b)(a + b)
0
Sector area = (n/360) X (pi)r^2
75:11

37. x^4 + x^7 =
87.5%
x^(4+7) = x^11
(base*height) / 2
A tangent is a line that only touches one point on the circumference of a circle.

38. 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?
75:11
Diameter(Pi)
x^(6-3) = x^3
An angle which is supplementary to an interior angle.

39. 1/6 in percent?
41 - 43 - 47
16.6666%
4.25 - 6 - 22
Move the decimal point to the right x places

40. What is the percent formula?
2(pi)r^2 + 2(pi)rh
61 - 67
Part = Percent X Whole
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

41. 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?
(base*height) / 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
0
87.5%

42. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
The curve opens downward and the vertex is the maximum point on the graph.
55%
1
16.6666%

43. 10^6 has how many zeroes?
The shortest arc between points A and B on a circle'S diameter.
6
20.5
2 & 3/7

44. The larger the absolute value of the slope...
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1/(x^y)
IV
The steeper the slope.

45. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
1
$3 -500 in the 9% and $2 -500 in the 7%.
13pi / 2
I

46. Can the output value of a function have more than one input value?
The set of elements found in both A and B.
A circle centered on the origin with radius 8.
Pi is the ratio of a circle'S circumference to its diameter.
Yes. [i.e. f(x) = x^2 - 1

47. a^0 =
48
II
83.333%
1

48. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The set of elements found in both A and B.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

49. What is a finite set?
G(x) = {x}
53 - 59
x^(2(4)) =x^8 = (x^4)^2
A set with a number of elements which can be counted.

50. How many sides does a hexagon have?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
y = 2x^2 - 3
1:sqrt3:2
6