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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 is a tangent?
Yes - like radicals can be added/subtracted.
87.5%
x^(4+7) = x^11
A tangent is a line that only touches one point on the circumference of a circle.
2. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
Move the decimal point to the right x places
288 (8 9 4)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
3. 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?
N! / (n-k)!
0
1
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
4. What is a subset?
The greatest value minus the smallest.
(b + c)
A grouping of the members within a set based on a shared characteristic.
A reflection about the origin.
5. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
75:11
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(base*height) / 2
Pi is the ratio of a circle'S circumference to its diameter.
6. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
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
70
5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
7. 40 < all primes<50
41 - 43 - 47
2(pi)r^2 + 2(pi)rh
23 - 29
500
8. In a regular polygon with n sides - the formula for the sum of interior angles
Sqrt 12
The curve opens downward and the vertex is the maximum point on the graph.
(n-2) x 180
A set with no members - denoted by a circle with a diagonal through it.
9. (-1)^2 =
1
Two angles whose sum is 90.
10! / (10-3)! = 720
No - the input value has exactly one output.
10. 7/8 in percent?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
52
87.5%
16.6666%
11. Evaluate 3& 2/7 / 1/3
9 & 6/7
53 - 59
(a - b)(a + b)
(a + b)^2
12. 4.809 X 10^7 =
The third side is greater than the difference and less than the sum.
A = I (1 + rt)
.0004809 X 10^11
4:5
13. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2 & 3/7
3 - -3
2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
14. What is the 'Restricted domain of a function'?
1 & 37/132
N! / (n-k)!
IV
When the function is not defined for all real numbers -; only a subset of the real numbers.
15. Which quadrant is the upper right hand?
I
4.25 - 6 - 22
1
Cd
16. Circumference of a circle?
2.592 kg
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Diameter(Pi)
1
17. What is the 'Range' of a series of numbers?
(a + b)^2
(a + b)^2
The greatest value minus the smallest.
Divide by 100.
18. When the 'a' in a parabola is positive....
2^9 / 2 = 256
1 & 37/132
The curve opens upward and the vertex is the minimal point on the graph.
4a^2(b)
19. What is a piecewise equation?
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...
The interesection of A and B.
3sqrt4
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
20. What are the members or elements of a set?
The objects within a set.
1/a^6
Divide by 100.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
21. What are the rational numbers?
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)
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...
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
6
22. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
F(x + c)
72
The shortest arc between points A and B on a circle'S diameter.
23. What are the real numbers?
53 - 59
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)
Indeterminable.
1/a^6
24. Pi is a ratio of what to what?
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25. 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?
Its negative reciprocal. (-b/a)
y = 2x^2 - 3
Undefined - because we can'T divide by 0.
55%
26. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
500
Triangles with same measure and same side lengths.
16.6666%
27. What is an exterior angle?
Two angles whose sum is 90.
An angle which is supplementary to an interior angle.
70
27^(-4)
28. What is an isoceles triangle?
(base*height) / 2
Two equal sides and two equal angles.
Undefined - because we can'T divide by 0.
1.0843 X 10^11
29. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
A = I (1 + rt)
55%
No - only like radicals can be added.
30. What are complementary angles?
Two equal sides and two equal angles.
y = 2x^2 - 3
Two angles whose sum is 90.
Undefined - because we can'T divide by 0.
31. What are the smallest three prime numbers greater than 65?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
67 - 71 - 73
1 & 37/132
Diameter(Pi)
32. Number of degrees in a triangle
IV
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 curve opens upward and the vertex is the minimal point on the graph.
180
33. Evaluate 4/11 + 11/12
48
A subset.
An isosceles right triangle.
1 & 37/132
34. 1/2 divided by 3/7 is the same as
x^(4+7) = x^11
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1/2 times 7/3
The interesection of A and B.
35. a^0 =
A central angle is an angle formed by 2 radii.
N! / (k!)(n-k)!
1
Arc length = (n/360) x pi(2r) where n is the number of degrees.
36. 10<all primes<20
An infinite set.
28. n = 8 - k = 2. n! / k!(n-k)!
11 - 13 - 17 - 19
1:1:sqrt2
37. (-1)^3 =
Yes. [i.e. f(x) = x^2 - 1
1
10! / (10-3)! = 720
The point of intersection of the systems.
38. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
An isosceles right triangle.
III
5
39. 50 < all primes< 60
53 - 59
4725
6
Two equal sides and two equal angles.
40. P and r are factors of 100. What is greater - pr or 100?
12! / 5!7! = 792
Even
Indeterminable.
70
41. What are the irrational numbers?
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42. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
12! / 5!7! = 792
The empty set - denoted by a circle with a diagonal through it.
(b + c)
$11 -448
43. Which is greater? 27^(-4) or 9^(-8)
20.5
27^(-4)
180 degrees
11 - 13 - 17 - 19
44. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
27^(-4)
No - the input value has exactly one output.
45. 0^0
0
Undefined
Divide by 100.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
46. A number is divisible by 4 is...
Its last two digits are divisible by 4.
Pi is the ratio of a circle'S circumference to its diameter.
x^(6-3) = x^3
A chord is a line segment joining two points on a circle.
47. Describe the relationship between the graphs of x^2 and (1/2)x^2
An isosceles right triangle.
The longest arc between points A and B on a circle'S diameter.
x^(2(4)) =x^8 = (x^4)^2
The second graph is less steep.
48. Simplify the expression [(b^2 - c^2) / (b - c)]
1/a^6
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
20.5
(b + c)
49. What is the maximum value for the function g(x) = (-2x^2) -1?
1
(a - b)(a + b)
A circle centered at -2 - -2 with radius 3.
0
50. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
The set of input values for a function.
52
2(pi)r^2 + 2(pi)rh