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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. Length of an arc of a circle?
1:1:sqrt2
Angle/360 x 2(pi)r
The second graph is less steep.
x^(6-3) = x^3
2. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
2sqrt6
28. n = 8 - k = 2. n! / k!(n-k)!
61 - 67
1 & 37/132
3. 70 < all primes< 80
71 - 73 - 79
4.25 - 6 - 22
A circle centered on the origin with radius 8.
F(x) - c
4. A number is divisible by 4 is...
x(x - y + 1)
Its last two digits are divisible by 4.
(amount of increase/original price) x 100%
The third side is greater than the difference and less than the sum.
5. Volume for a cylinder?
5 OR -5
The greatest value minus the smallest.
Area of the base X height = (pi)hr^2
The set of input values for a function.
6. What is the 'Range' of a function?
The set of output values for a function.
1
A set with no members - denoted by a circle with a diagonal through it.
3
7. a^0 =
1
No - only like radicals can be added.
A = pi(r^2)
1:sqrt3:2
8. How many multiples does a given number have?
The union of A and B.
Infinite.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
An infinite set.
9. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
(base*height) / 2
x^(2(4)) =x^8 = (x^4)^2
2sqrt6
10. 7/8 in percent?
F(x-c)
1
Pi is the ratio of a circle'S circumference to its diameter.
87.5%
11. Which quandrant is the lower right hand?
IV
28. n = 8 - k = 2. n! / k!(n-k)!
9 : 25
Sqrt 12
12. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
3
Yes. [i.e. f(x) = x^2 - 1
13. Which is greater? 64^5 or 16^8
28. n = 8 - k = 2. n! / k!(n-k)!
No - the input value has exactly one output.
A set with no members - denoted by a circle with a diagonal through it.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
14. What is the graph of f(x) shifted right c units or spaces?
9 : 25
F(x-c)
4096
A circle centered on the origin with radius 8.
15. (x^2)^4
Move the decimal point to the right x places
x^(2(4)) =x^8 = (x^4)^2
F(x + c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
16. The larger the absolute value of the slope...
Part = Percent X Whole
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Sector area = (n/360) X (pi)r^2
The steeper the slope.
17. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
(p + q)/5
500
y = (x + 5)/2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
18. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Factors are few - multiples are many.
13pi / 2
A set with no members - denoted by a circle with a diagonal through it.
The steeper the slope.
19. Formula to find a circle'S circumference from its radius?
x^(6-3) = x^3
Relationship cannot be determined (what if x is negative?)
C = 2(pi)r
x(x - y + 1)
20. Evaluate (4^3)^2
(n-2) x 180
31 - 37
4096
8
21. What is the 'Range' of a series of numbers?
(base*height) / 2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The greatest value minus the smallest.
The third side is greater than the difference and less than the sum.
22. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
6 : 1 : 2
180 degrees
N! / (n-k)!
23. What are congruent triangles?
2^9 / 2 = 256
Triangles with same measure and same side lengths.
A = I (1 + rt)
1
24. The slope of a line perpendicular to (a/b)?
Its negative reciprocal. (-b/a)
31 - 37
A central angle is an angle formed by 2 radii.
2^9 / 2 = 256
25. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
A set with no members - denoted by a circle with a diagonal through it.
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
The set of elements found in both A and B.
26. x^(-y)=
55%
The steeper the slope.
1/(x^y)
90 degrees
27. What percent of 40 is 22?
55%
An angle which is supplementary to an interior angle.
4:5
2^9 / 2 = 256
28. A number is divisible by 6 if...
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Its divisible by 2 and by 3.
A set with no members - denoted by a circle with a diagonal through it.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
29. How to determine percent increase?
130pi
(amount of increase/original price) x 100%
10! / 3!(10-3)! = 120
1/(x^y)
30. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
12sqrt2
Infinite.
1
31. What is the set of elements found in both A and B?
10! / 3!(10-3)! = 120
The interesection of A and B.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Even
32. 413.03 x 10^(-4) =
Angle/360 x (pi)r^2
52
413.03 / 10^4 (move the decimal point 4 places to the left)
1.7
33. What are the irrational numbers?
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on line
183
34. Convert 0.7% to a fraction.
Sqrt 12
No - the input value has exactly one output.
7 / 1000
III
35. Can you subtract 3sqrt4 from sqrt4?
67 - 71 - 73
Yes - like radicals can be added/subtracted.
6 : 1 : 2
87.5%
36. Whats the difference between factors and multiples?
Relationship cannot be determined (what if x is negative?)
A set with a number of elements which can be counted.
180
Factors are few - multiples are many.
37. Is 0 even or odd?
A reflection about the origin.
10! / 3!(10-3)! = 120
The set of output values for a function.
Even
38. What is the percent formula?
F(x) - c
Part = Percent X Whole
37.5%
6
39. In a regular polygon with n sides - the formula for the sum of interior angles
8
(n-2) x 180
9 & 6/7
The set of output values for a function.
40. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Its divisible by 2 and by 3.
13
III
1
41. When does a function automatically have a restricted domain (2)?
(amount of decrease/original price) x 100%
y = 2x^2 - 3
F(x + c)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
42. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
90 degrees
Even
2.592 kg
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
43. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Undefined
2^9 / 2 = 256
An isosceles right triangle.
When the function is not defined for all real numbers -; only a subset of the real numbers.
44. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Move the decimal point to the right x places
Angle/360 x (pi)r^2
4:5
45. What are the members or elements of a set?
2 & 3/7
The objects within a set.
288 (8 9 4)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
46. The perimeter of a square is 48 inches. The length of its diagonal is:
The shortest arc between points A and B on a circle'S diameter.
12sqrt2
I
8
47. What is the 'Restricted domain of a function'?
(n-2) x 180
When the function is not defined for all real numbers -; only a subset of the real numbers.
y = 2x^2 - 3
The sum of digits is divisible by 9.
48. What is an isoceles triangle?
Two equal sides and two equal angles.
4a^2(b)
23 - 29
The union of A and B.
49. (6sqrt3) x (2sqrt5) =
6
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The set of elements found in both A and B.
The set of input values for a function.
50. Evaluate 3& 2/7 / 1/3
1:sqrt3:2
28. n = 8 - k = 2. n! / k!(n-k)!
9 & 6/7
IV
Can you answer 50 questions in 15 minutes?
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