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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. Formula to find a circle'S circumference from its diameter?
C = (pi)d
0
12.5%
7 / 1000
2. Simplify the expression (p^2 - q^2)/ -5(q - p)
Cd
1:1:sqrt2
(p + q)/5
8
3. A number is divisible by 9 if...
Its negative reciprocal. (-b/a)
130pi
1/2 times 7/3
The sum of digits is divisible by 9.
4. Define a 'Term' -
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The set of output values for a function.
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)
Two equal sides and two equal angles.
5. Which is greater? 200x^295 or 10x^294?
9 & 6/7
The interesection of A and B.
Relationship cannot be determined (what if x is negative?)
The sum of its digits is divisible by 3.
6. What is the measure of an exterior angle of a regular pentagon?
Diameter(Pi)
10! / (10-3)! = 720
0
72
7. Simplify the expression [(b^2 - c^2) / (b - c)]
2sqrt6
The objects within a set.
(b + c)
The two xes after factoring.
8. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Undefined - because we can'T divide by 0.
(n-2) x 180
A 30-60-90 triangle.
8
9. What are congruent triangles?
From northeast - counterclockwise. I - II - III - IV
Triangles with same measure and same side lengths.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The two xes after factoring.
10. What is the percent formula?
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.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Part = Percent X Whole
11. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
2
2 & 3/7
3
12. What is a piecewise equation?
62.5%
130pi
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
3sqrt4
13. What is the slope of a horizontal line?
10
F(x + c)
0
The point of intersection of the systems.
14. What is the area of a regular hexagon with side 6?
0
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Undefined
A tangent is a line that only touches one point on the circumference of a circle.
15. What is the 'Range' of a function?
10! / 3!(10-3)! = 120
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The set of output values for a function.
41 - 43 - 47
16. What is the graph of f(x) shifted left c units or spaces?
The sum of its digits is divisible by 3.
The third side is greater than the difference and less than the sum.
Cd
F(x + c)
17. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
87.5%
3
13pi / 2
1/a^6
18. What is a finite set?
The curve opens upward and the vertex is the minimal point on the graph.
A grouping of the members within a set based on a shared characteristic.
48
A set with a number of elements which can be counted.
19. What is the absolute value function?
1.0843 X 10^11
The union of A and B.
G(x) = {x}
N! / (k!)(n-k)!
20. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
12! / 5!7! = 792
Part = Percent X Whole
x^(4+7) = x^11
21. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
The second graph is less steep.
28. n = 8 - k = 2. n! / k!(n-k)!
52
22. What is a set with no members called?
28. n = 8 - k = 2. n! / k!(n-k)!
A circle centered on the origin with radius 8.
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 empty set - denoted by a circle with a diagonal through it.
23. What is a subset?
83.333%
A grouping of the members within a set based on a shared characteristic.
18
When the function is not defined for all real numbers -; only a subset of the real numbers.
24. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
III
The interesection of A and B.
12! / 5!7! = 792
3
25. What are the integers?
No - the input value has exactly one output.
All numbers multiples of 1.
An isosceles right triangle.
4.25 - 6 - 22
26. Find the surface area of a cylinder with radius 3 and height 12.
10! / (10-3)! = 720
Two angles whose sum is 180.
90pi
N! / (n-k)!
27. A number is divisible by 4 is...
4.25 - 6 - 22
...multiply by 100.
A = pi(r^2)
Its last two digits are divisible by 4.
28. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
(a + b)^2
23 - 29
The set of elements which can be found in either A or B.
29. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Move the decimal point to the right x places
1
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...
83.333%
30. a^0 =
5
The interesection of A and B.
The sum of digits is divisible by 9.
1
31. (6sqrt3) x (2sqrt5) =
2^9 / 2 = 256
The greatest value minus the smallest.
The objects within a set.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
32. 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)
F(x-c)
12sqrt2
4.25 - 6 - 22
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
33. What are the rational numbers?
III
(amount of decrease/original price) x 100%
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
34. What is the 'domain' of a function?
An angle which is supplementary to an interior angle.
A set with no members - denoted by a circle with a diagonal through it.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The set of input values for a function.
35. What is an isoceles triangle?
41 - 43 - 47
The point of intersection of the systems.
Undefined
Two equal sides and two equal angles.
36. How many 3-digit positive integers are even and do not contain the digit 4?
4725
An arc is a portion of a circumference of a circle.
A reflection about the axis.
288 (8 9 4)
37. Formula for the area of a circle?
Area of the base X height = (pi)hr^2
When the function is not defined for all real numbers -; only a subset of the real numbers.
A subset.
A = pi(r^2)
38. Which quandrant is the lower right hand?
(a - b)^2
IV
Two angles whose sum is 180.
The point of intersection of the systems.
39. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
9 : 25
An isosceles right triangle.
40. Factor a^2 + 2ab + b^2
72
(a + b)^2
The union of A and B.
10! / (10-3)! = 720
41. 0^0
(a - b)^2
Undefined
y = 2x^2 - 3
90pi
42. 30< all primes<40
180 degrees
1
31 - 37
1
43. How to find the circumference of a circle which circumscribes a square?
90 degrees
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
2 & 3/7
An expression with just one term (-6x - 2a^2)
44. Legs: 3 - 4. Hypotenuse?
The overlapping sections.
5
x^(4+7) = x^11
75:11
45. What are the roots of the quadrinomial x^2 + 2x + 1?
(b + c)
A grouping of the members within a set based on a shared characteristic.
The two xes after factoring.
The greatest value minus the smallest.
46. a^2 - b^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)
(a - b)(a + b)
The empty set - denoted by a circle with a diagonal through it.
3/2 - 5/3
47. The larger the absolute value of the slope...
4096
The steeper the slope.
Angle/360 x 2(pi)r
48
48. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Undefined - because we can'T divide by 0.
x= (1.2)(.8)lw
0
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
49. 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?
Divide by 100.
75:11
A reflection about the axis.
An isosceles right triangle.
50. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(a - b)(a + b)
28. n = 8 - k = 2. n! / k!(n-k)!
27^(-4)