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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 8 schools are in a conference - how many games are played if each team plays each other exactly once?
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)
(amount of increase/original price) x 100%
90pi
28. n = 8 - k = 2. n! / k!(n-k)!
2. What is the intersection of A and B?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Factors are few - multiples are many.
The set of elements found in both A and B.
23 - 29
3. Number of degrees in a triangle
413.03 / 10^4 (move the decimal point 4 places to the left)
Divide by 100.
180
0
4. What is a major arc?
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5. Formula of rectangle where l increases by 20% and w decreases by 20%
180 degrees
x^(6-3) = x^3
The sum of digits is divisible by 9.
x= (1.2)(.8)lw
6. Pi is a ratio of what to what?
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7. P and r are factors of 100. What is greater - pr or 100?
61 - 67
Indeterminable.
48
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
8. How many multiples does a given number have?
Infinite.
3sqrt4
Two equal sides and two equal angles.
The set of elements found in both A and B.
9. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
Even
A chord is a line segment joining two points on a circle.
Angle/360 x 2(pi)r
10. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
A circle centered at -2 - -2 with radius 3.
The point of intersection of the systems.
The empty set - denoted by a circle with a diagonal through it.
11. (-1)^3 =
53 - 59
27^(-4)
1
Triangles with same measure and same side lengths.
12. 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)
4.25 - 6 - 22
(a + b)^2
x^(4+7) = x^11
75:11
13. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
$3 -500 in the 9% and $2 -500 in the 7%.
The third side is greater than the difference and less than the sum.
413.03 / 10^4 (move the decimal point 4 places to the left)
1
14. 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?
The set of elements which can be found in either A or B.
Indeterminable.
N! / (n-k)!
Relationship cannot be determined (what if x is negative?)
15. x^6 / x^3
2.592 kg
x^(6-3) = x^3
27^(-4)
1
16. What are the members or elements of a set?
1:sqrt3:2
90 degrees
83.333%
The objects within a set.
17. What are the integers?
(a + b)^2
All numbers multiples of 1.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
18. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
A 30-60-90 triangle.
y = 2x^2 - 3
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...
53 - 59
19. What is a minor arc?
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20. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
From northeast - counterclockwise. I - II - III - IV
(a - b)(a + b)
The curve opens downward and the vertex is the maximum point on the graph.
21. When the 'a' in a parabola is positive....
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
83.333%
Sector area = (n/360) X (pi)r^2
The curve opens upward and the vertex is the minimal point on the graph.
22. Evaluate 4/11 + 11/12
61 - 67
27^(-4)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1 & 37/132
23. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Pi is the ratio of a circle'S circumference to its diameter.
4725
4096
24. The larger the absolute value of the slope...
Angle/360 x 2(pi)r
A chord is a line segment joining two points on a circle.
An isosceles right triangle.
The steeper the slope.
25. 40 < all primes<50
41 - 43 - 47
3 - -3
The sum of digits is divisible by 9.
28. n = 8 - k = 2. n! / k!(n-k)!
26. Can you subtract 3sqrt4 from sqrt4?
IV
Yes - like radicals can be added/subtracted.
Its negative reciprocal. (-b/a)
The longest arc between points A and B on a circle'S diameter.
27. Circumference of a circle?
Diameter(Pi)
13pi / 2
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)
The two xes after factoring.
28. What are the smallest three prime numbers greater than 65?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The set of output values for a function.
Yes - like radicals can be added/subtracted.
67 - 71 - 73
29. What is a finite set?
A set with a number of elements which can be counted.
y = (x + 5)/2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
When the function is not defined for all real numbers -; only a subset of the real numbers.
30. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
(n-2) x 180
(amount of decrease/original price) x 100%
True
Move the decimal point to the right x places
31. 50 < all primes< 60
Factors are few - multiples are many.
53 - 59
2sqrt6
3sqrt4
32. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The overlapping sections.
2sqrt6
No - only like radicals can be added.
33. How to find the circumference of a circle which circumscribes a square?
The set of input values for a function.
31 - 37
(base*height) / 2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
34. A number is divisible by 4 is...
A = pi(r^2)
3
Its last two digits are divisible by 4.
31 - 37
35. 10<all primes<20
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1.0843 X 10^11
11 - 13 - 17 - 19
53 - 59
36. Which quadrant is the upper left hand?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
II
31 - 37
(a - b)^2
37. Surface area for a cylinder?
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.
Even
2(pi)r^2 + 2(pi)rh
13pi / 2
38. What are congruent triangles?
Move the decimal point to the right x places
Triangles with same measure and same side lengths.
The union of A and B.
Its negative reciprocal. (-b/a)
39. Solve the quadratic equation ax^2 + bx + c= 0
No - the input value has exactly one output.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Ax^2 + bx + c where a -b and c are constants and a /=0
40. What are complementary angles?
28. n = 8 - k = 2. n! / k!(n-k)!
Two angles whose sum is 90.
(a + b)^2
N! / (k!)(n-k)!
41. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Ax^2 + bx + c where a -b and c are constants and a /=0
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A 30-60-90 triangle.
11 - 13 - 17 - 19
42. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
1
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.
13pi / 2
8
43. What is the slope of a vertical line?
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44. Is 0 even or odd?
Move the decimal point to the right x places
The interesection of A and B.
Even
...multiply by 100.
45. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
An arc is a portion of a circumference of a circle.
13
Arc length = (n/360) x pi(2r) where n is the number of degrees.
46. How to find the area of a sector?
180 degrees
Angle/360 x (pi)r^2
12sqrt2
x^(2(4)) =x^8 = (x^4)^2
47. 10^6 has how many zeroes?
2 & 3/7
4096
Angle/360 x 2(pi)r
6
48. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Undefined - because we can'T divide by 0.
The shortest arc between points A and B on a circle'S diameter.
F(x) + c
A reflection about the axis.
49. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Pi is the ratio of a circle'S circumference to its diameter.
No - the input value has exactly one output.
9 & 6/7
50. Describe the relationship between the graphs of x^2 and (1/2)x^2
Factors are few - multiples are many.
41 - 43 - 47
The set of elements found in both A and B.
The second graph is less steep.