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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. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
2 & 3/7
The second graph is less steep.
1
2. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
16.6666%
Area of the base X height = (pi)hr^2
2^9 / 2 = 256
7 / 1000
3. How to determine percent decrease?
An isosceles right triangle.
(amount of decrease/original price) x 100%
72
Sector area = (n/360) X (pi)r^2
4. Simplify the expression (p^2 - q^2)/ -5(q - p)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
(p + q)/5
0
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
5. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
72
500
6. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The overlapping sections.
7. What is the graph of f(x) shifted right c units or spaces?
12! / 5!7! = 792
8
F(x-c)
The longest arc between points A and B on a circle'S diameter.
8. What percent of 40 is 22?
5 OR -5
55%
(n-2) x 180
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)
9. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Even
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A set with no members - denoted by a circle with a diagonal through it.
3 - -3
10. What is a minor arc?
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11. Evaluate 4/11 + 11/12
1 & 37/132
A central angle is an angle formed by 2 radii.
True
y = (x + 5)/2
12. 0^0
Area of the base X height = (pi)hr^2
Undefined
1
The set of elements found in both A and B.
13. What is an exterior angle?
An angle which is supplementary to an interior angle.
8
4096
11 - 13 - 17 - 19
14. 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?
31 - 37
Undefined
70
52
15. A number is divisible by 6 if...
4.25 - 6 - 22
Its divisible by 2 and by 3.
2(pi)r^2 + 2(pi)rh
Arc length = (n/360) x pi(2r) where n is the number of degrees.
16. To multiply a number by 10^x
41 - 43 - 47
500
Move the decimal point to the right x places
N! / (n-k)!
17. Formula to find a circle'S circumference from its diameter?
1
1/a^6
67 - 71 - 73
C = (pi)d
18. (-1)^2 =
10! / 3!(10-3)! = 120
1
The third side is greater than the difference and less than the sum.
Part = Percent X Whole
19. How to find the area of a sector?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
90pi
Angle/360 x (pi)r^2
N! / (n-k)!
20. What is a subset?
A tangent is a line that only touches one point on the circumference of a circle.
The union of A and B.
(a + b)^2
A grouping of the members within a set based on a shared characteristic.
21. 30< all primes<40
31 - 37
90
Sector area = (n/360) X (pi)r^2
90pi
22. 10^6 has how many zeroes?
10! / (10-3)! = 720
6
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
500
23. What are the irrational numbers?
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24. Factor x^2 - xy + x.
x(x - y + 1)
Two angles whose sum is 90.
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...
1/a^6
25. What is the graph of f(x) shifted left c units or spaces?
9 & 6/7
F(x + c)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
83.333%
26. a^2 - b^2 =
(a - b)(a + b)
C = (pi)d
7 / 1000
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
27. 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)
The curve opens downward and the vertex is the maximum point on the graph.
4.25 - 6 - 22
The set of input values for a function.
IV
28. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
I
Pi is the ratio of a circle'S circumference to its diameter.
4725
A 30-60-90 triangle.
29. A number is divisible by 3 if ...
(a - b)(a + b)
72
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The sum of its digits is divisible by 3.
30. Pi is a ratio of what to what?
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31. P and r are factors of 100. What is greater - pr or 100?
The set of output values for a function.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A circle centered on the origin with radius 8.
Indeterminable.
32. 50 < all primes< 60
N! / (n-k)!
A reflection about the axis.
53 - 59
12.5%
33. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
An angle which is supplementary to an interior angle.
x= (1.2)(.8)lw
A = I (1 + rt)
34. Which quadrant is the upper left hand?
12sqrt2
441000 = 1 10 10 10 21 * 21
1/2 times 7/3
II
35. Simplify 9^(1/2) X 4^3 X 2^(-6)?
... the square of the ratios of the corresponding sides.
A circle centered on the origin with radius 8.
3
10! / (10-3)! = 720
36. Is 0 even or odd?
The shortest arc between points A and B on a circle'S diameter.
62.5%
Even
A circle centered on the origin with radius 8.
37. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
48
4:5
Undefined
38. Evaluate (4^3)^2
4096
83.333%
1
413.03 / 10^4 (move the decimal point 4 places to the left)
39. Evaluate 3& 2/7 / 1/3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
9 & 6/7
The shortest arc between points A and B on a circle'S diameter.
7 / 1000
40. What is the formula for computing simple interest?
Yes - like radicals can be added/subtracted.
52
5
A = I (1 + rt)
41. What are the integers?
4:5
(n-2) x 180
All numbers multiples of 1.
1:1:sqrt2
42. Solve the quadratic equation ax^2 + bx + c= 0
The point of intersection of the systems.
Members or elements
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Sqrt 12
43. What is the area of a regular hexagon with side 6?
Members or elements
130pi
9 : 25
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
44. sqrt 2(sqrt 6)=
16.6666%
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)
5 OR -5
Sqrt 12
45. What is a central angle?
1
IV
.0004809 X 10^11
A central angle is an angle formed by 2 radii.
46. 10<all primes<20
11 - 13 - 17 - 19
x^(4+7) = x^11
3sqrt4
(amount of decrease/original price) x 100%
47. How many multiples does a given number have?
Infinite.
1.0843 X 10^11
G(x) = {x}
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
48. 60 < all primes <70
(p + q)/5
180 degrees
61 - 67
Two angles whose sum is 90.
49. What is a finite set?
A set with a number of elements which can be counted.
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...
67 - 71 - 73
A 30-60-90 triangle.
50. Which quadrant is the upper right hand?
20.5
I
The set of output values for a function.
The shortest arc between points A and B on a circle'S diameter.