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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. 20<all primes<30
23 - 29
F(x) - c
Divide by 100.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
2. Factor a^2 + 2ab + b^2
(a + b)^2
C = 2(pi)r
Infinite.
$3 -500 in the 9% and $2 -500 in the 7%.
3. What is the sum of the angles of a triangle?
Relationship cannot be determined (what if x is negative?)
8
180 degrees
53 - 59
4. Evaluate 4/11 + 11/12
5 OR -5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1 & 37/132
Undefined - because we can'T divide by 0.
5. a^2 - b^2 =
10! / 3!(10-3)! = 120
20.5
53 - 59
(a - b)(a + b)
6. What is the absolute value function?
The overlapping sections.
G(x) = {x}
1 & 37/132
3/2 - 5/3
7. x^2 = 9. What is the value of x?
Infinite.
From northeast - counterclockwise. I - II - III - IV
The third side is greater than the difference and less than the sum.
3 - -3
8. 5/6 in percent?
83.333%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
23 - 29
The curve opens downward and the vertex is the maximum point on the graph.
9. To convert a decimal to a percent...
y = (x + 5)/2
3
The two xes after factoring.
...multiply by 100.
10. 1/2 divided by 3/7 is the same as
1/2 times 7/3
I
Angle/360 x (pi)r^2
0
11. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
1/(x^y)
Cd
180 degrees
37.5%
12. 1/8 in percent?
(a + b)^2
From northeast - counterclockwise. I - II - III - IV
1
12.5%
13. Define an 'expression'.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(a - b)^2
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)
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)
14. What is a piecewise equation?
71 - 73 - 79
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
True
500
15. What is the graph of f(x) shifted left c units or spaces?
8
When the function is not defined for all real numbers -; only a subset of the real numbers.
F(x + c)
N! / (k!)(n-k)!
16. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
1
N! / (n-k)!
8
3 - -3
17. 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?
83.333%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
2
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
18. What is the intersection of A and B?
0
The set of elements found in both A and B.
C = 2(pi)r
61 - 67
19. 30< all primes<40
Two angles whose sum is 90.
2sqrt6
No - only like radicals can be added.
31 - 37
20. Pi is a ratio of what to what?
21. Can the output value of a function have more than one input value?
x^(4+7) = x^11
Yes. [i.e. f(x) = x^2 - 1
The steeper the slope.
All numbers multiples of 1.
22. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
2 & 3/7
11 - 13 - 17 - 19
The set of elements found in both A and B.
23. To multiply a number by 10^x
Move the decimal point to the right x places
Divide by 100.
3
180
24. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
The second graph is less steep.
1:sqrt3:2
0
6
25. 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
Undefined
18
The interesection of A and B.
1 & 37/132
26. What is an exterior angle?
A set with no members - denoted by a circle with a diagonal through it.
An angle which is supplementary to an interior angle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
441000 = 1 10 10 10 21 * 21
27. What are complementary angles?
1
Two angles whose sum is 90.
$11 -448
0
28. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
Divide by 100.
4:5
The direction of the inequality is reversed.
29. a^2 - 2ab + b^2
(a - b)^2
37.5%
413.03 / 10^4 (move the decimal point 4 places to the left)
F(x + c)
30. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
A = I (1 + rt)
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)^2
y = (x + 5)/2
31. Circumference of a circle?
F(x + c)
10! / (10-3)! = 720
A set with no members - denoted by a circle with a diagonal through it.
Diameter(Pi)
32. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
2sqrt6
Angle/360 x 2(pi)r
N! / (k!)(n-k)!
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
33. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
III
x^(6-3) = x^3
2(pi)r^2 + 2(pi)rh
A reflection about the origin.
34. What number between 70 & 75 - inclusive - has the greatest number of factors?
1 & 37/132
70
The longest arc between points A and B on a circle'S diameter.
72
35. sqrt 2(sqrt 6)=
6
Sqrt 12
0
23 - 29
36. How to find the diagonal of a rectangular solid?
The second graph is less steep.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
10! / (10-3)! = 720
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
37. What are 'Supplementary angles?'
0
Two angles whose sum is 180.
A subset.
The steeper the slope.
38. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
...multiply by 100.
1/2 times 7/3
1
39. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
3
441000 = 1 10 10 10 21 * 21
The set of elements found in both A and B.
40. 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%.
1/2 times 7/3
The longest arc between points A and B on a circle'S diameter.
1
41. (6sqrt3) x (2sqrt5) =
6 : 1 : 2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
27^(-4)
42. How to find the circumference of a circle which circumscribes a square?
x= (1.2)(.8)lw
A reflection about the origin.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
18
43. Simplify the expression (p^2 - q^2)/ -5(q - p)
III
(p + q)/5
(b + c)
G(x) = {x}
44. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
16.6666%
The two xes after factoring.
3 - -3
45. The objects in a set are called two names:
(a - b)(a + b)
Members or elements
1 & 37/132
1/2 times 7/3
46. What does scientific notation mean?
7 / 1000
10! / (10-3)! = 720
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
5 OR -5
47. 10^6 has how many zeroes?
Two angles whose sum is 90.
12sqrt2
72
6
48. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
90 degrees
71 - 73 - 79
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
49. 50 < all primes< 60
N! / (n-k)!
130pi
Relationship cannot be determined (what if x is negative?)
53 - 59
50. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
A = I (1 + rt)
90
2(pi)r^2 + 2(pi)rh
(b + c)