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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. Simplify the expression (p^2 - q^2)/ -5(q - p)
Yes - like radicals can be added/subtracted.
Yes. [i.e. f(x) = x^2 - 1
1
(p + q)/5

2. What are the irrational numbers?

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3. (-1)^2 =
When the function is not defined for all real numbers -; only a subset of the real numbers.
0
Sqrt 12
1

4. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
Its last two digits are divisible by 4.
3
20.5
The second graph is less steep.

5. 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.
IV
90 degrees
When the function is not defined for all real numbers -; only a subset of the real numbers.
G(x) = {x}

6. To convert a decimal to a percent...
The point of intersection of the systems.
...multiply by 100.
1
9 & 6/7

7. 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?
Indeterminable.
N! / (k!)(n-k)!
10! / (10-3)! = 720
75:11

8. Length of an arc of a circle?
4.25 - 6 - 22
10
All numbers multiples of 1.
Angle/360 x 2(pi)r

9. What are the smallest three prime numbers greater than 65?
72
An isosceles right triangle.
61 - 67
67 - 71 - 73

10. What is the slope of a horizontal line?
A reflection about the axis.
4:5
0
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

11. What is the graph of f(x) shifted left c units or spaces?
9 : 25
F(x + c)
x^(4+7) = x^11
12sqrt2

12. What is a chord of a circle?
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
18
Cd
A chord is a line segment joining two points on a circle.

13. What are the integers?
A reflection about the origin.
All numbers multiples of 1.
Its last two digits are divisible by 4.
Lies opposite the greater angle

14. Order of quadrants:
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
From northeast - counterclockwise. I - II - III - IV
288 (8 9 4)
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)

15. Factor x^2 - xy + x.
x(x - y + 1)
No - the input value has exactly one output.
... the square of the ratios of the corresponding sides.
A subset.

16. 1/8 in percent?
16.6666%
2
12.5%
1

17. Whats the difference between factors and multiples?
Factors are few - multiples are many.
16.6666%
500
(n-2) x 180

18. What is the side length of an equilateral triangle with altitude 6?
18
All numbers multiples of 1.
The sum of digits is divisible by 9.
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...

19. What is a tangent?
y = (x + 5)/2
A tangent is a line that only touches one point on the circumference of a circle.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
5

20. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
The overlapping sections.
2^9 / 2 = 256
II

21. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Its last two digits are divisible by 4.
4:5
1
Move the decimal point to the right x places

22. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
10
(a - b)^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A reflection about the origin.

23. 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
$11 -448
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)
90pi

24. 20<all primes<30
C = (pi)d
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Ax^2 + bx + c where a -b and c are constants and a /=0
23 - 29

25. x^4 + x^7 =
x^(4+7) = x^11
The empty set - denoted by a circle with a diagonal through it.
Area of the base X height = (pi)hr^2
3/2 - 5/3

26. Define a 'monomial'
1
An expression with just one term (-6x - 2a^2)
Relationship cannot be determined (what if x is negative?)
x^(6-3) = x^3

27. a^0 =
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
An angle which is supplementary to an interior angle.
1
4096

28. 10^6 has how many zeroes?
6
(a + b)^2
Sector area = (n/360) X (pi)r^2
130pi

29. (6sqrt3) x (2sqrt5) =
83.333%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
2 & 3/7
A reflection about the axis.

30. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
41 - 43 - 47
Yes. [i.e. f(x) = x^2 - 1
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A reflection about the axis.

31. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
28. n = 8 - k = 2. n! / k!(n-k)!
No - the input value has exactly one output.
(p + q)/5

32. 4.809 X 10^7 =
9 : 25
(n-2) x 180
.0004809 X 10^11
2^9 / 2 = 256

33. Legs: 3 - 4. Hypotenuse?
The curve opens downward and the vertex is the maximum point on the graph.
10
5
500

34. Evaluate 4/11 + 11/12
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
4a^2(b)
20.5
1 & 37/132

35. What is the 'Restricted domain of a function'?
67 - 71 - 73
When the function is not defined for all real numbers -; only a subset of the real numbers.
F(x-c)
7 / 1000

36. 7/8 in percent?
87.5%
x^(6-3) = x^3
x= (1.2)(.8)lw
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

37. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
441000 = 1 10 10 10 21 * 21
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
From northeast - counterclockwise. I - II - III - IV
12! / 5!7! = 792

38. The ratio of the areas of two similar polygons is ...
6
2(pi)r^2 + 2(pi)rh
The objects within a set.
... the square of the ratios of the corresponding sides.

39. What are complementary angles?
3 - -3
The set of input values for a function.
Two angles whose sum is 90.
288 (8 9 4)

40. Reduce: 4.8 : 0.8 : 1.6
27^(-4)
6 : 1 : 2
Cd
2sqrt6

41. Which is greater? 200x^295 or 10x^294?
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)
Relationship cannot be determined (what if x is negative?)
An infinite set.
1

42. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
The curve opens downward and the vertex is the maximum point on the graph.
10! / 3!(10-3)! = 120
Ax^2 + bx + c where a -b and c are constants and a /=0

43. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
Part = Percent X Whole
1 & 37/132
6 : 1 : 2

44. 50 < all primes< 60
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
(amount of increase/original price) x 100%
53 - 59
A = I (1 + rt)

45. What is the name for a grouping of the members within a set based on a shared characteristic?
$3 -500 in the 9% and $2 -500 in the 7%.
31 - 37
A subset.
180

46. 1/2 divided by 3/7 is the same as
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1/2 times 7/3
A reflection about the origin.
1:1:sqrt2

47. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
The second graph is less steep.
Factors are few - multiples are many.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

48. a^2 + 2ab + b^2
12.5%
(a + b)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
288 (8 9 4)

49. 25^(1/2) or sqrt. 25 =
7 / 1000
0
A set with no members - denoted by a circle with a diagonal through it.
5 OR -5

50. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
No - only like radicals can be added.
3sqrt4
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...
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.