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Test your basic knowledge |
GRE Math: Common Errors
Start Test
Study First
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. 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 sum of its digits is divisible by 3.
The set of output values for a function.
3/2 - 5/3
2. The larger the absolute value of the slope...
10! / 3!(10-3)! = 120
The steeper the slope.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
F(x + c)
3. To multiply a number by 10^x
An arc is a portion of a circumference of a circle.
Move the decimal point to the right x places
10! / (10-3)! = 720
A set with a number of elements which can be counted.
4. Formula for the area of a sector of a circle?
II
Sector area = (n/360) X (pi)r^2
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 - b)(a + b)
5. In a regular polygon with n sides - the formula for the sum of interior angles
No - the input value has exactly one output.
Cd
500
(n-2) x 180
6. When does a function automatically have a restricted domain (2)?
The set of output values for a function.
2(pi)r^2 + 2(pi)rh
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The steeper the slope.
7. Whats the difference between factors and multiples?
Factors are few - multiples are many.
13pi / 2
90 degrees
Two angles whose sum is 180.
8. Is 0 even or odd?
The shortest arc between points A and B on a circle'S diameter.
Even
12! / 5!7! = 792
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)
9. What is a finite set?
(b + c)
A set with no members - denoted by a circle with a diagonal through it.
1
A set with a number of elements which can be counted.
10. a^2 - b^2
(a - b)(a + b)
2
x(x - y + 1)
$3 -500 in the 9% and $2 -500 in the 7%.
11. The objects in a set are called two names:
13
Members or elements
Angle/360 x 2(pi)r
4096
12. Which is greater? 200x^295 or 10x^294?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Sqrt 12
Angle/360 x 2(pi)r
Relationship cannot be determined (what if x is negative?)
13. 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?
Sqrt 12
(a - b)(a + b)
13
10! / 3!(10-3)! = 120
14. What number between 70 & 75 - inclusive - has the greatest number of factors?
$11 -448
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
72
Its last two digits are divisible by 4.
15. x^(-y)=
90
1/(x^y)
441000 = 1 10 10 10 21 * 21
2(pi)r^2 + 2(pi)rh
16. What is a major arc?
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17. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
53 - 59
180 degrees
18. What is an isoceles triangle?
Two equal sides and two equal angles.
Two angles whose sum is 180.
No - only like radicals can be added.
Sqrt 12
19. What is the graph of f(x) shifted upward c units or spaces?
IV
1
F(x) + c
53 - 59
20. What percent of 40 is 22?
55%
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...
...multiply by 100.
2^9 / 2 = 256
21. Formula to find a circle'S circumference from its diameter?
C = (pi)d
A 30-60-90 triangle.
500
Its divisible by 2 and by 3.
22. Can you subtract 3sqrt4 from sqrt4?
3 - -3
Yes - like radicals can be added/subtracted.
75:11
1
23. What is the formula for computing simple interest?
The union of A and B.
4:5
A = I (1 + rt)
55%
24. 1/8 in percent?
180
A grouping of the members within a set based on a shared characteristic.
55%
12.5%
25. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Two equal sides and two equal angles.
A reflection about the axis.
26. What are 'Supplementary angles?'
Two angles whose sum is 180.
7 / 1000
N! / (n-k)!
C = (pi)d
27. 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?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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)
10! / (10-3)! = 720
75:11
28. 60 < all primes <70
9 & 6/7
No - the input value has exactly one output.
61 - 67
... the square of the ratios of the corresponding sides.
29. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
(a + b)^2
The objects within a set.
28. n = 8 - k = 2. n! / k!(n-k)!
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
30. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
10! / 3!(10-3)! = 120
0
The shortest arc between points A and B on a circle'S diameter.
31. 6w^2 - w - 15 = 0
Yes - like radicals can be added/subtracted.
Angle/360 x 2(pi)r
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3/2 - 5/3
32. 413.03 x 10^(-4) =
1/2 times 7/3
413.03 / 10^4 (move the decimal point 4 places to the left)
A set with a number of elements which can be counted.
Part = Percent X Whole
33. (6sqrt3) x (2sqrt5) =
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 direction of the inequality is reversed.
288 (8 9 4)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
34. a^0 =
Undefined - because we can'T divide by 0.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1
35. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
The union of A and B.
$11 -448
4096
A tangent is a line that only touches one point on the circumference of a circle.
36. 70 < all primes< 80
3 - -3
71 - 73 - 79
Pi is the ratio of a circle'S circumference to its diameter.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
37. What is a minor arc?
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38. Area of a triangle?
(base*height) / 2
Undefined
5 OR -5
1:sqrt3:2
39. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
(a - b)^2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The set of input values for a function.
1
40. What is the 'Restricted domain of a function'?
A chord is a line segment joining two points on a circle.
When the function is not defined for all real numbers -; only a subset of the real numbers.
An expression with just one term (-6x - 2a^2)
67 - 71 - 73
41. What is the graph of f(x) shifted left c units or spaces?
(amount of increase/original price) x 100%
2sqrt6
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
F(x + c)
42. What is the surface area of a cylinder with radius 5 and height 8?
Infinite.
130pi
23 - 29
G(x) = {x}
43. What is the set of elements which can be found in either A or B?
9 & 6/7
1:sqrt3:2
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)
The union of A and B.
44. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
... the square of the ratios of the corresponding sides.
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.
2^9 / 2 = 256
45. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
71 - 73 - 79
x^(2(4)) =x^8 = (x^4)^2
Two equal sides and two equal angles.
46. What are the rational numbers?
Its negative reciprocal. (-b/a)
The sum of digits is divisible by 9.
130pi
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
47. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
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)
Undefined - because we can'T divide by 0.
18
48. What is a piecewise equation?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
The overlapping sections.
Yes - like radicals can be added/subtracted.
The set of elements which can be found in either A or B.
49. Order of quadrants:
4:5
2 & 3/7
From northeast - counterclockwise. I - II - III - IV
9 & 6/7
50. What are the irrational numbers?
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