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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. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
A central angle is an angle formed by 2 radii.
An expression with just one term (-6x - 2a^2)
$11 -448
28. n = 8 - k = 2. n! / k!(n-k)!

2. A number is divisible by 6 if...
(amount of increase/original price) x 100%
4:5
3 - -3
Its divisible by 2 and by 3.

3. Formula for the area of a sector of a circle?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
From northeast - counterclockwise. I - II - III - IV
Its divisible by 2 and by 3.
Sector area = (n/360) X (pi)r^2

4. 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?
8
75:11
The curve opens downward and the vertex is the maximum point on the graph.
Two angles whose sum is 180.

5. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
48
(base*height) / 2
9 & 6/7
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

6. What is the sum of the angles of a triangle?
A reflection about the axis.
The union of A and 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...
180 degrees

7. Legs 5 - 12. Hypotenuse?
0
13
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 - b)(a + b)

8. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
2.592 kg
III
Angle/360 x 2(pi)r

9. 8.84 / 5.2
$3 -500 in the 9% and $2 -500 in the 7%.
1.7
2sqrt6
Undefined

10. Pi is a ratio of what to what?

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11. 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?
Triangles with same measure and same side lengths.
9 : 25
1
1.0843 X 10^11

12. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
A set with no members - denoted by a circle with a diagonal through it.
2
4725
The steeper the slope.

13. 50 < all primes< 60
Ax^2 + bx + c where a -b and c are constants and a /=0
53 - 59
37.5%
A = I (1 + rt)

14. What is the side length of an equilateral triangle with altitude 6?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
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/a^6
The empty set - denoted by a circle with a diagonal through it.

15. (-1)^3 =
The set of output values for a function.
1
13pi / 2
27^(-4)

16. What is the maximum value for the function g(x) = (-2x^2) -1?
75:11
1
31 - 37
The greatest value minus the smallest.

17. What are the smallest three prime numbers greater than 65?
Divide by 100.
7 / 1000
C = 2(pi)r
67 - 71 - 73

18. Which quandrant is the lower right hand?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1/2 times 7/3
IV
y = 2x^2 - 3

19. If an inequality is multiplied or divided by a negative number....
The empty set - denoted by a circle with a diagonal through it.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The direction of the inequality is reversed.

20. x^6 / x^3
7 / 1000
The set of elements which can be found in either A or B.
x^(6-3) = x^3
A 30-60-90 triangle.

21. 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)
1/(x^y)
F(x-c)
6 : 1 : 2

22. 7/8 in percent?
12! / 5!7! = 792
87.5%
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
x^(2(4)) =x^8 = (x^4)^2

23. 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.
No - the input value has exactly one output.
The empty set - denoted by a circle with a diagonal through it.
1/a^6
90 degrees

24. 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?
12sqrt2
Two angles whose sum is 180.
10! / 3!(10-3)! = 120
(amount of decrease/original price) x 100%

25. What is a tangent?
A circle centered at -2 - -2 with radius 3.
Move the decimal point to the right x places
A tangent is a line that only touches one point on the circumference of a circle.
The third side is greater than the difference and less than the sum.

26. Which is greater? 27^(-4) or 9^(-8)
288 (8 9 4)
4.25 - 6 - 22
The interesection of A and B.
27^(-4)

27. (-1)^2 =
70
3sqrt4
1
$3 -500 in the 9% and $2 -500 in the 7%.

28. A number is divisible by 9 if...
1.7
The sum of digits is divisible by 9.
Part = Percent X Whole
1:1:sqrt2

29. Legs 6 - 8. Hypotenuse?
0
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The two xes after factoring.
10

30. x^2 = 9. What is the value of x?
3sqrt4
3 - -3
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(a - b)(a + b)

31. 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?
1
The shortest arc between points A and B on a circle'S diameter.
N! / (n-k)!
12! / 5!7! = 792

32. What number between 70 & 75 - inclusive - has the greatest number of factors?
441000 = 1 10 10 10 21 * 21
72
27^(-4)
No - only like radicals can be added.

33. What is a central angle?
An infinite set.
A central angle is an angle formed by 2 radii.
True
62.5%

34. What is the order of operations?
Ax^2 + bx + c where a -b and c are constants and a /=0
13
12! / 5!7! = 792
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

35. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Part = Percent X Whole
90
31 - 37
The curve opens upward and the vertex is the minimal point on the graph.

36. What is the slope of a vertical line?

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37. What is the slope of a horizontal line?
(a - b)(a + b)
70
A set with no members - denoted by a circle with a diagonal through it.
0

38. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
70
10! / (10-3)! = 720
Factors are few - multiples are many.

39. When does a function automatically have a restricted domain (2)?
Area of the base X height = (pi)hr^2
1/2 times 7/3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
61 - 67

40. a^2 - b^2
(a - b)^2
1.0843 X 10^11
180
(a - b)(a + b)

41. Whats the difference between factors and multiples?
Undefined
(base*height) / 2
C = 2(pi)r
Factors are few - multiples are many.

42. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
10! / 3!(10-3)! = 120
Move the decimal point to the right x places
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

43. If the two sides of a triangle are unequal then the longer side...
II
67 - 71 - 73
Lies opposite the greater angle
1.0843 X 10^11

44. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
1.7
1/a^6
441000 = 1 10 10 10 21 * 21

45. 20<all primes<30
48
The third side is greater than the difference and less than the sum.
(base*height) / 2
23 - 29

46. A number is divisible by 3 if ...
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 greatest value minus the smallest.
The sum of its digits is divisible by 3.
Two angles whose sum is 180.

47. 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?
Members or elements
52
130pi
(a - b)^2

48. When the 'a' in the parabola is negative...
9 : 25
The curve opens downward and the vertex is the maximum point on the graph.
55%
Two equal sides and two equal angles.

49. 1/2 divided by 3/7 is the same as
1/2 times 7/3
Members or elements
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 set of elements found in both A and B.

50. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
61 - 67
The set of elements which can be found in either A or B.
A chord is a line segment joining two points on a circle.