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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 the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Area of the base X height = (pi)hr^2
70
31 - 37
90pi
2. What is the absolute value function?
1:sqrt3:2
Diameter(Pi)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
G(x) = {x}
3. 6w^2 - w - 15 = 0
The direction of the inequality is reversed.
16.6666%
3/2 - 5/3
Move the decimal point to the right x places
4. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
The second graph is less steep.
1
N! / (n-k)!
5. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
500
12.5%
A 30-60-90 triangle.
6. Convert 0.7% to a fraction.
7 / 1000
Undefined
Pi is the ratio of a circle'S circumference to its diameter.
13pi / 2
7. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
10! / (10-3)! = 720
41 - 43 - 47
8. 1/2 divided by 3/7 is the same as
52
1/2 times 7/3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(a + b)^2
9. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
The overlapping sections.
4:5
1:sqrt3:2
1
10. What is the order of operations?
An arc is a portion of a circumference of a circle.
Move the decimal point to the right x places
No - the input value has exactly one output.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
11. Length of an arc of a circle?
1
Angle/360 x 2(pi)r
Two angles whose sum is 90.
75:11
12. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
A tangent is a line that only touches one point on the circumference of a circle.
18
The steeper the slope.
An expression with just one term (-6x - 2a^2)
13. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Move the decimal point to the right x places
441000 = 1 10 10 10 21 * 21
14. Formula for the area of a circle?
The shortest arc between points A and B on a circle'S diameter.
3sqrt4
90 degrees
A = pi(r^2)
15. 10<all primes<20
11 - 13 - 17 - 19
Pi is the ratio of a circle'S circumference to its diameter.
(p + q)/5
18
16. What is the graph of f(x) shifted left c units or spaces?
Two angles whose sum is 180.
Two equal sides and two equal angles.
10! / 3!(10-3)! = 120
F(x + c)
17. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
3 - -3
441000 = 1 10 10 10 21 * 21
A 30-60-90 triangle.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
18. How many sides does a hexagon have?
6
Pi is the ratio of a circle'S circumference to its diameter.
The curve opens downward and the vertex is the maximum point on the graph.
The set of elements found in both A and B.
19. 8.84 / 5.2
Its divisible by 2 and by 3.
1.7
70
37.5%
20. What is a subset?
90pi
...multiply by 100.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A grouping of the members within a set based on a shared characteristic.
21. What are congruent triangles?
Triangles with same measure and same side lengths.
1/2 times 7/3
(base*height) / 2
67 - 71 - 73
22. 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?
1:sqrt3:2
N! / (n-k)!
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
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
23. What are the members or elements of a set?
Part = Percent X Whole
1/a^6
62.5%
The objects within a set.
24. What is the 'domain' of a function?
The set of input values for a function.
72
Lies opposite the greater angle
The objects within a set.
25. Order of quadrants:
Area of the base X height = (pi)hr^2
2 & 3/7
4a^2(b)
From northeast - counterclockwise. I - II - III - IV
26. Legs: 3 - 4. Hypotenuse?
53 - 59
5
1
6
27. Which quadrant is the lower left hand?
An isosceles right triangle.
Indeterminable.
The point of intersection of the systems.
III
28. Define a 'Term' -
0
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)
Ax^2 + bx + c where a -b and c are constants and a /=0
x^(2(4)) =x^8 = (x^4)^2
29. What are the smallest three prime numbers greater than 65?
N! / (n-k)!
500
67 - 71 - 73
Sector area = (n/360) X (pi)r^2
30. Which quadrant is the upper left hand?
6
9 & 6/7
II
2.592 kg
31. Which is greater? 64^5 or 16^8
52
2sqrt6
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Yes - like radicals can be added/subtracted.
32. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
6
10! / 3!(10-3)! = 120
2sqrt6
Angle/360 x (pi)r^2
33. Evaluate 4/11 + 11/12
Its last two digits are divisible by 4.
1:1:sqrt2
1 & 37/132
x^(6-3) = x^3
34. 40 < all primes<50
1
G(x) = {x}
180 degrees
41 - 43 - 47
35. Can the input value of a function have more than one output value (i.e. x: y - y1)?
When the function is not defined for all real numbers -; only a subset of the real numbers.
x= (1.2)(.8)lw
Cd
No - the input value has exactly one output.
36. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
Sector area = (n/360) X (pi)r^2
8
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
37. 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)
87.5%
4.25 - 6 - 22
The third side is greater than the difference and less than the sum.
37.5%
38. What number between 70 & 75 - inclusive - has the greatest number of factors?
500
(a + b)^2
72
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
39. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
The third side is greater than the difference and less than the sum.
Pi is the ratio of a circle'S circumference to its diameter.
1:1:sqrt2
40. Formula of rectangle where l increases by 20% and w decreases by 20%
N! / (k!)(n-k)!
...multiply by 100.
The greatest value minus the smallest.
x= (1.2)(.8)lw
41. (12sqrt15) / (2sqrt5) =
441000 = 1 10 10 10 21 * 21
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1
2.592 kg
42. What is the 'Range' of a series of numbers?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The greatest value minus the smallest.
5 OR -5
16.6666%
43. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
The set of elements found in both A and B.
1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
44. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
6
90
9 & 6/7
IV
45. Whats the difference between factors and multiples?
10
Factors are few - multiples are many.
Its negative reciprocal. (-b/a)
3/2 - 5/3
46. 70 < all primes< 80
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
No - the input value has exactly one output.
71 - 73 - 79
47. The objects in a set are called two names:
Relationship cannot be determined (what if x is negative?)
72
71 - 73 - 79
Members or elements
48. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
The shortest arc between points A and B on a circle'S diameter.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
1:1:sqrt2
49. What is the ratio of the sides of a 30-60-90 triangle?
(a + b)^2
1:sqrt3:2
Undefined - because we can'T divide by 0.
(a - b)(a + b)
50. 0^0
A = pi(r^2)
10! / 3!(10-3)! = 120
6
Undefined