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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. A number is divisible by 6 if...
Its divisible by 2 and by 3.
I
53 - 59
Yes - like radicals can be added/subtracted.

2. When the 'a' in the parabola is negative...
A = I (1 + rt)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A 30-60-90 triangle.
The curve opens downward and the vertex is the maximum point on the graph.

3. Describe the relationship between the graphs of x^2 and (1/2)x^2
Ax^2 + bx + c where a -b and c are constants and a /=0
The second graph is less steep.
$3 -500 in the 9% and $2 -500 in the 7%.
72

4. 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?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
52
x^(6-3) = x^3
3 - -3

5. 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?
An expression with just one term (-6x - 2a^2)
55%
500
5 OR -5

6. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
F(x) - c
Undefined - because we can'T divide by 0.
N! / (k!)(n-k)!
A reflection about the axis.

7. What is the graph of f(x) shifted right c units or spaces?
True
An arc is a portion of a circumference of a circle.
F(x-c)
Cd

8. What is the surface area of a cylinder with radius 5 and height 8?
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)
130pi
0
0

9. What is the area of a regular hexagon with side 6?
Pi is the ratio of a circle'S circumference to its diameter.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

10. What are 'Supplementary angles?'
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A reflection about the axis.
Two angles whose sum is 180.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

11. What is the 'union' of A and B?
1:1:sqrt2
Sqrt 12
Its divisible by 2 and by 3.
The set of elements which can be found in either A or B.

12. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
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)
4:5
1
The longest arc between points A and B on a circle'S diameter.

13. Formula to find a circle'S circumference from its diameter?
90 degrees
C = (pi)d
3/2 - 5/3
90

14. 25^(1/2) or sqrt. 25 =
Triangles with same measure and same side lengths.
Ax^2 + bx + c where a -b and c are constants and a /=0
7 / 1000
5 OR -5

15. x^2 = 9. What is the value of x?
x^(6-3) = x^3
3 - -3
No - only like radicals can be added.
4a^2(b)

16. 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?
The set of output values for a function.
10! / 3!(10-3)! = 120
Factors are few - multiples are many.
An isosceles right triangle.

17. The slope of a line perpendicular to (a/b)?
9 : 25
11 - 13 - 17 - 19
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Its negative reciprocal. (-b/a)

18. 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?
28. n = 8 - k = 2. n! / k!(n-k)!
Undefined - because we can'T divide by 0.
10! / (10-3)! = 720
Its negative reciprocal. (-b/a)

19. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
6 : 1 : 2
13pi / 2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

20. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
4.25 - 6 - 22
288 (8 9 4)
10! / 3!(10-3)! = 120

21. What is the ratio of the sides of an isosceles right triangle?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
31 - 37
1:1:sqrt2
61 - 67

22. (-1)^3 =
Its last two digits are divisible by 4.
1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Undefined

23. What is the 'domain' of a function?
Two angles whose sum is 180.
Relationship cannot be determined (what if x is negative?)
The set of input values for a function.
Members or elements

24. What are the roots of the quadrinomial x^2 + 2x + 1?
Diameter(Pi)
A circle centered on the origin with radius 8.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The two xes after factoring.

25. To convert a percent to a fraction....
Divide by 100.
6
An arc is a portion of a circumference of a circle.
Its divisible by 2 and by 3.

26. What is a central angle?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
True
A central angle is an angle formed by 2 radii.
The set of elements found in both A and B.

27. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
3/2 - 5/3
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Undefined

28. What is the slope of a horizontal line?
0
1
The set of elements which can be found in either A or B.
(a - b)(a + b)

29. How many sides does a hexagon have?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
12! / 5!7! = 792
6
Two angles whose sum is 90.

30. Legs 6 - 8. Hypotenuse?
IV
The set of elements found in both A and B.
61 - 67
10

31. Convert 0.7% to a fraction.
7 / 1000
IV
A 30-60-90 triangle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

32. Formula for the area of a circle?
A = pi(r^2)
1/2 times 7/3
1
x= (1.2)(.8)lw

33. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
72
8
... the square of the ratios of the corresponding sides.
10! / 3!(10-3)! = 120

34. 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?
6 : 1 : 2
The sum of its digits is divisible by 3.
Area of the base X height = (pi)hr^2
441000 = 1 10 10 10 21 * 21

35. (6sqrt3) x (2sqrt5) =
413.03 / 10^4 (move the decimal point 4 places to the left)
6 : 1 : 2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

36. 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?
(a + b)^2
9 : 25
III
Even

37. If the two sides of a triangle are unequal then the longer side...
The empty set - denoted by a circle with a diagonal through it.
Divide by 100.
y = 2x^2 - 3
Lies opposite the greater angle

38. a^2 - b^2 =
6
16.6666%
True
(a - b)(a + b)

39. What is the set of elements found in both A and B?
The interesection of A and B.
Move the decimal point to the right x places
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)
G(x) = {x}

40. 1/2 divided by 3/7 is the same as
4096
1/2 times 7/3
72
No - only like radicals can be added.

41. 20<all primes<30
83.333%
23 - 29
The empty set - denoted by a circle with a diagonal through it.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

42. 2sqrt4 + sqrt4 =
12! / 5!7! = 792
1/a^6
3sqrt4
The steeper the slope.

43. What is a subset?
A grouping of the members within a set based on a shared characteristic.
31 - 37
20.5
The sum of its digits is divisible by 3.

44. A number is divisible by 4 is...
(amount of increase/original price) x 100%
Factors are few - multiples are many.
Its last two digits are divisible by 4.
N! / (k!)(n-k)!

45. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
37.5%
9 & 6/7
0
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

46. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
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.
The third side is greater than the difference and less than the sum.
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)

47. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
An expression with just one term (-6x - 2a^2)
A set with no members - denoted by a circle with a diagonal through it.
1
(b + c)

48. 10^6 has how many zeroes?
13
6
A set with no members - denoted by a circle with a diagonal through it.
1 & 37/132

49. Surface area for a cylinder?
2(pi)r^2 + 2(pi)rh
62.5%
An expression with just one term (-6x - 2a^2)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

50. What is a minor arc?

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GRE Math: Common Errors

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