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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. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
Cd
53 - 59
y = 2x^2 - 3
N! / (n-k)!
2. Factor a^2 + 2ab + b^2
Diameter(Pi)
(a + b)^2
The second graph is less steep.
... the square of the ratios of the corresponding sides.
3. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
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)
Sqrt 12
A reflection about the axis.
.0004809 X 10^11
4. a^0 =
2^9 / 2 = 256
The longest arc between points A and B on a circle'S diameter.
1
G(x) = {x}
5. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
288 (8 9 4)
4:5
6 : 1 : 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
6. 5x^2 - 35x -55 = 0
28. n = 8 - k = 2. n! / k!(n-k)!
An arc is a portion of a circumference of a circle.
2.592 kg
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
7. What are the irrational numbers?
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8. Simplify the expression [(b^2 - c^2) / (b - c)]
The longest arc between points A and B on a circle'S diameter.
Factors are few - multiples are many.
(b + c)
When the function is not defined for all real numbers -; only a subset of the real numbers.
9. What is the graph of f(x) shifted upward c units or spaces?
Indeterminable.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The set of elements found in both A and B.
F(x) + c
10. 2sqrt4 + sqrt4 =
N! / (k!)(n-k)!
0
Undefined - because we can'T divide by 0.
3sqrt4
11. How many 3-digit positive integers are even and do not contain the digit 4?
N! / (n-k)!
288 (8 9 4)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
An isosceles right triangle.
12. How many sides does a hexagon have?
The set of output values for a function.
$3 -500 in the 9% and $2 -500 in the 7%.
F(x) - c
6
13. What is the ratio of the sides of a 30-60-90 triangle?
3
...multiply by 100.
1:sqrt3:2
The shortest arc between points A and B on a circle'S diameter.
14. What is the surface area of a cylinder with radius 5 and height 8?
130pi
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
.0004809 X 10^11
A grouping of the members within a set based on a shared characteristic.
15. 6w^2 - w - 15 = 0
55%
413.03 / 10^4 (move the decimal point 4 places to the left)
An arc is a portion of a circumference of a circle.
3/2 - 5/3
16. The ratio of the areas of two similar polygons is ...
18
Yes - like radicals can be added/subtracted.
... the square of the ratios of the corresponding sides.
27^(-4)
17. Simplify (a^2 + b)^2 - (a^2 - b)^2
A = pi(r^2)
4a^2(b)
3
$11 -448
18. Order of quadrants:
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...
From northeast - counterclockwise. I - II - III - IV
y = (x + 5)/2
.0004809 X 10^11
19. Which quadrant is the upper left hand?
31 - 37
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
II
28. n = 8 - k = 2. n! / k!(n-k)!
20. 40 < all primes<50
(amount of increase/original price) x 100%
Sector area = (n/360) X (pi)r^2
41 - 43 - 47
Yes. [i.e. f(x) = x^2 - 1
21. 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?
9 : 25
(a - b)^2
Pi is the ratio of a circle'S circumference to its diameter.
12sqrt2
22. Formula to find a circle'S circumference from its diameter?
The overlapping sections.
Divide by 100.
C = (pi)d
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
23. x^2 = 9. What is the value of x?
3 - -3
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The overlapping sections.
A circle centered on the origin with radius 8.
24. What is the measure of an exterior angle of a regular pentagon?
72
$11 -448
II
The two xes after factoring.
25. What is a central angle?
A central angle is an angle formed by 2 radii.
75:11
y = 2x^2 - 3
...multiply by 100.
26. What is the side length of an equilateral triangle with altitude 6?
x= (1.2)(.8)lw
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
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
27. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
3sqrt4
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
2^9 / 2 = 256
28. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The direction of the inequality is reversed.
Pi is the ratio of a circle'S circumference to its diameter.
An angle which is supplementary to an interior angle.
29. A number is divisible by 4 is...
An isosceles right triangle.
5 OR -5
Its last two digits are divisible by 4.
C = 2(pi)r
30. In a regular polygon with n sides - the formula for the sum of interior angles
87.5%
The shortest arc between points A and B on a circle'S diameter.
(n-2) x 180
F(x + c)
31. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The curve opens downward and the vertex is the maximum point on the graph.
True
A reflection about the origin.
32. Can you subtract 3sqrt4 from sqrt4?
y = 2x^2 - 3
2 & 3/7
Yes - like radicals can be added/subtracted.
53 - 59
33. a^2 - b^2
3
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The curve opens downward and the vertex is the maximum point on the graph.
(a - b)(a + b)
34. 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?
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
52
The sum of its digits is divisible by 3.
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)
35. What is a parabola?
The greatest value minus the smallest.
Ax^2 + bx + c where a -b and c are constants and a /=0
A central angle is an angle formed by 2 radii.
2^9 / 2 = 256
36. What is the 'domain' of a function?
The set of input values for a function.
1:sqrt3:2
From northeast - counterclockwise. I - II - III - IV
The greatest value minus the smallest.
37. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Two angles whose sum is 90.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1/a^6
38. Evaluate (4^3)^2
1:sqrt3:2
23 - 29
3
4096
39. What is the set of elements found in both A and B?
The interesection of A and B.
3/2 - 5/3
1
The empty set - denoted by a circle with a diagonal through it.
40. 1/6 in percent?
G(x) = {x}
10
16.6666%
A reflection about the axis.
41. 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)
62.5%
2(pi)r^2 + 2(pi)rh
4096
4.25 - 6 - 22
42. 0^0
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...
Undefined
C = (pi)d
A 30-60-90 triangle.
43. 25^(1/2) or sqrt. 25 =
(p + q)/5
The interesection of A and B.
No - only like radicals can be added.
5 OR -5
44. What is the name of set with a number of elements which cannot be counted?
Two angles whose sum is 90.
A reflection about the axis.
An infinite set.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
45. How to determine percent increase?
III
No - only like radicals can be added.
1
(amount of increase/original price) x 100%
46. What is the 'Solution' for a set of inequalities.
3sqrt4
A central angle is an angle formed by 2 radii.
4725
The overlapping sections.
47. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
2 & 3/7
C = 2(pi)r
5 OR -5
48. 30< all primes<40
y = (x + 5)/2
3/2 - 5/3
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
31 - 37
49. Describe the relationship between 3x^2 and 3(x - 1)^2
A circle centered at -2 - -2 with radius 3.
x(x - y + 1)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Two angles whose sum is 180.
50. What are complementary angles?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Two angles whose sum is 90.
F(x) - c
4:5