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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 9^(1/2) X 4^3 X 2^(-6)?
Members or elements
The point of intersection of the systems.
3
41 - 43 - 47

2. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
1
True
12sqrt2

3. What is the 'union' of A and B?
An expression with just one term (-6x - 2a^2)
9 : 25
Pi is the ratio of a circle'S circumference to its diameter.
The set of elements which can be found in either A or B.

4. Reduce: 4.8 : 0.8 : 1.6
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
6
6 : 1 : 2
75:11

5. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
A circle centered at -2 - -2 with radius 3.
3/2 - 5/3
12! / 5!7! = 792
12sqrt2

6. To multiply a number by 10^x
(b + c)
90
Move the decimal point to the right x places
130pi

7. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
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)
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.
52
20.5

8. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
13pi / 2
3 - -3
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A 30-60-90 triangle.

9. What is the graph of f(x) shifted left c units or spaces?
2
F(x + c)
1
71 - 73 - 79

10. 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?
12.5%
1
48
10

11. x^2 = 9. What is the value of x?
3 - -3
Undefined - because we can'T divide by 0.
The longest arc between points A and B on a circle'S diameter.
500

12. Circumference of a circle?
Diameter(Pi)
Area of the base X height = (pi)hr^2
27^(-4)
The point of intersection of the systems.

13. Define an 'expression'.
A set with a number of elements which can be counted.
Sqrt 12
An isosceles right triangle.
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)

14. Which is greater? 200x^295 or 10x^294?
x^(6-3) = x^3
11 - 13 - 17 - 19
Relationship cannot be determined (what if x is negative?)
A = I (1 + rt)

15. What is a minor arc?

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16. What are the integers?
75:11
A set with a number of elements which can be counted.
All numbers multiples of 1.
The steeper the slope.

17. x^6 / x^3
37.5%
Its negative reciprocal. (-b/a)
x^(6-3) = x^3
A subset.

18. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
(base*height) / 2
All numbers multiples of 1.
90pi

19. What are the members or elements of a set?
Divide by 100.
10
The objects within a set.
90

20. Solve the quadratic equation ax^2 + bx + c= 0
A grouping of the members within a set based on a shared characteristic.
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)
37.5%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

21. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
41 - 43 - 47
4:5
The sum of digits is divisible by 9.
The curve opens upward and the vertex is the minimal point on the graph.

22. What is the formula for computing simple interest?
A = I (1 + rt)
The direction of the inequality is reversed.
10! / (10-3)! = 720
(amount of increase/original price) x 100%

23. What percent of 40 is 22?
23 - 29
55%
The longest arc between points A and B on a circle'S diameter.
.0004809 X 10^11

24. 10<all primes<20
5 OR -5
A = pi(r^2)
11 - 13 - 17 - 19
Triangles with same measure and same side lengths.

25. What is an isoceles triangle?
II
Two equal sides and two equal angles.
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 reflection about the axis.

26. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
(p + q)/5
3
1

27. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A reflection about the axis.
Ax^2 + bx + c where a -b and c are constants and a /=0
(b + c)

28. What is the percent formula?
Relationship cannot be determined (what if x is negative?)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
48
Part = Percent X Whole

29. What is the maximum value for the function g(x) = (-2x^2) -1?
1
IV
23 - 29
10

30. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
27^(-4)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
F(x-c)

31. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Sqrt 12
1:sqrt3:2
12sqrt2

32. 2sqrt4 + sqrt4 =
A grouping of the members within a set based on a shared characteristic.
83.333%
3sqrt4
23 - 29

33. 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
48
Yes. [i.e. f(x) = x^2 - 1
72

34. 413.03 x 10^(-4) =
0
Indeterminable.
1/a^6
413.03 / 10^4 (move the decimal point 4 places to the left)

35. Can you add sqrt 3 and sqrt 5?
True
.0004809 X 10^11
No - only like radicals can be added.
F(x) - c

36. What are congruent triangles?
Triangles with same measure and same side lengths.
The set of input values for a function.
0
F(x) - c

37. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Indeterminable.

38. When does a function automatically have a restricted domain (2)?
The longest arc between points A and B on a circle'S diameter.
(a + b)^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

39. What is the absolute value function?
(p + q)/5
G(x) = {x}
(amount of decrease/original price) x 100%
The point of intersection of the systems.

40. 7/8 in percent?
The interesection of A and B.
All numbers multiples of 1.
87.5%
Move the decimal point to the right x places

41. 1/2 divided by 3/7 is the same as
3/2 - 5/3
2
1/2 times 7/3
.0004809 X 10^11

42. (6sqrt3) x (2sqrt5) =
28. n = 8 - k = 2. n! / k!(n-k)!
9 & 6/7
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The sum of its digits is divisible by 3.

43. 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.
Its negative reciprocal. (-b/a)
I
16.6666%
90 degrees

44. Find the surface area of a cylinder with radius 3 and height 12.
90pi
3 - -3
All numbers multiples of 1.
A tangent is a line that only touches one point on the circumference of a circle.

45. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
$11 -448
No - only like radicals can be added.
The sum of digits is divisible by 9.

46. 4.809 X 10^7 =
180
3
.0004809 X 10^11
72

47. What is the set of elements which can be found in either A or B?
IV
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The union of A and B.
90pi

48. Describe the relationship between 3x^2 and 3(x - 1)^2
The overlapping sections.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Its last two digits are divisible by 4.
The second graph is less steep.

49. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
1:1:sqrt2
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 greatest value minus the smallest.
2

50. What is a subset?
An arc is a portion of a circumference of a circle.
(a - b)(a + b)
Factors are few - multiples are many.
A grouping of the members within a set based on a shared characteristic.