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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. Convert 0.7% to a fraction.
1
7 / 1000
The sum of digits is divisible by 9.
No - only like radicals can be added.

2. 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.
$3 -500 in the 9% and $2 -500 in the 7%.
The steeper the slope.
90 degrees
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

3. Evaluate (4^3)^2
4096
No - the input value has exactly one output.
x^(2(4)) =x^8 = (x^4)^2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

4. Find the surface area of a cylinder with radius 3 and height 12.
An isosceles right triangle.
3/2 - 5/3
An arc is a portion of a circumference of a circle.
90pi

5. What is a central angle?
62.5%
87.5%
The set of elements found in both A and B.
A central angle is an angle formed by 2 radii.

6. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
4.25 - 6 - 22
1.0843 X 10^11
1

7. x^2 = 9. What is the value of x?
Its divisible by 2 and by 3.
A chord is a line segment joining two points on a circle.
Even
3 - -3

8. Formula to calculate arc length?
1
12.5%
130pi
Arc length = (n/360) x pi(2r) where n is the number of degrees.

9. (-1)^2 =
Area of the base X height = (pi)hr^2
1
1 & 37/132
True

10. What is a parabola?
10
Ax^2 + bx + c where a -b and c are constants and a /=0
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Undefined - because we can'T divide by 0.

11. Can the input value of a function have more than one output value (i.e. x: y - y1)?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
413.03 / 10^4 (move the decimal point 4 places to the left)
No - the input value has exactly one output.
A set with a number of elements which can be counted.

12. What is the 'Range' of a function?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1.0843 X 10^11
The set of output values for a function.
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)

13. How to find the diagonal of a rectangular solid?
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 which can be found in either A or B.
A tangent is a line that only touches one point on the circumference of a circle.
III

14. What are the smallest three prime numbers greater than 65?
A reflection about the origin.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The interesection of A and B.
67 - 71 - 73

15. What is the 'Restricted domain of a function'?
Its negative reciprocal. (-b/a)
Cd
True
When the function is not defined for all real numbers -; only a subset of the real numbers.

16. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
The third side is greater than the difference and less than the sum.
(a + b)^2
Two angles whose sum is 90.

17. Length of an arc of a circle?
F(x + c)
180 degrees
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
Angle/360 x 2(pi)r

18. What does scientific notation mean?
90
Angle/360 x 2(pi)r
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
41 - 43 - 47

19. The larger the absolute value of the slope...
The steeper the slope.
70
62.5%
6 : 1 : 2

20. 8.84 / 5.2
A = pi(r^2)
x^(2(4)) =x^8 = (x^4)^2
41 - 43 - 47
1.7

21. Legs 5 - 12. Hypotenuse?
53 - 59
Two angles whose sum is 180.
Move the decimal point to the right x places
13

22. Area of a triangle?
The empty set - denoted by a circle with a diagonal through it.
A 30-60-90 triangle.
(base*height) / 2
No - the input value has exactly one output.

23. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
No - only like radicals can be added.
8
18
An expression with just one term (-6x - 2a^2)

24. Which is greater? 27^(-4) or 9^(-8)
III
27^(-4)
53 - 59
The set of elements which can be found in either A or B.

25. What is the order of operations?
Members or elements
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
87.5%
The union of A and B.

26. Reduce: 4.8 : 0.8 : 1.6
2sqrt6
No - the input value has exactly one output.
4096
6 : 1 : 2

27. a^2 - 2ab + b^2
(b + c)
(a - b)^2
A subset.
(a + b)^2

28. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
Area of the base X height = (pi)hr^2
(a + b)^2
1

29. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
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.
F(x + c)
90
A grouping of the members within a set based on a shared characteristic.

30. What is the 'Solution' for a set of inequalities.
A = I (1 + rt)
The overlapping sections.
6
20.5

31. A number is divisible by 9 if...
The two xes after factoring.
The sum of digits is divisible by 9.
... the square of the ratios of the corresponding sides.
3/2 - 5/3

32. What does the graph x^2 + y^2 = 64 look like?
x^(6-3) = x^3
The set of elements found in both A and B.
A circle centered on the origin with radius 8.
7 / 1000

33. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
31 - 37
1.0843 X 10^11
Its last two digits are divisible by 4.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

34. What are the members or elements of a set?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
5 OR -5
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The objects within a set.

35. 1/8 in percent?
90
12.5%
Divide by 100.
Pi is the ratio of a circle'S circumference to its diameter.

36. When the 'a' in a parabola is positive....
The curve opens upward and the vertex is the minimal point on the graph.
1/2 times 7/3
90pi
37.5%

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
Angle/360 x 2(pi)r
(a + b)^2
Two angles whose sum is 180.

38. What is the name of set with a number of elements which cannot be counted?
An infinite set.
A set with no members - denoted by a circle with a diagonal through it.
1
The objects within a set.

39. 60 < all primes <70
The set of output values for a function.
61 - 67
288 (8 9 4)
The overlapping sections.

40. sqrt 2(sqrt 6)=
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)
130pi
90
Sqrt 12

41. 40 < all primes<50
(a + b)^2
41 - 43 - 47
Members or elements
A central angle is an angle formed by 2 radii.

42. What is a minor arc?

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43. 0^0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Undefined
True
1

44. Formula for the area of a circle?
x^(6-3) = x^3
83.333%
12.5%
A = pi(r^2)

45. What is the absolute value function?
G(x) = {x}
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...
$3 -500 in the 9% and $2 -500 in the 7%.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

46. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
0
288 (8 9 4)
4.25 - 6 - 22

47. Evaluate 4/11 + 11/12
1 & 37/132
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
12! / 5!7! = 792
1.0843 X 10^11

48. How many sides does a hexagon have?
12sqrt2
6
Divide by 100.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

49. 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 second graph is less steep.
2.592 kg
90pi
13

50. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
72
.0004809 X 10^11
Cd
IV