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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 intersection of A and B?
The second graph is less steep.
The set of elements found in both A and B.
G(x) = {x}
1
2. 0^0
1
x(x - y + 1)
x= (1.2)(.8)lw
Undefined
3. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
The shortest arc between points A and B on a circle'S diameter.
The overlapping sections.
10! / (10-3)! = 720
4. What is the name for a grouping of the members within a set based on a shared characteristic?
(a + b)^2
3sqrt4
A subset.
An isosceles right triangle.
5. What are the smallest three prime numbers greater than 65?
52
67 - 71 - 73
8
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
6. What are 'Supplementary angles?'
Lies opposite the greater angle
Two angles whose sum is 180.
Undefined - because we can'T divide by 0.
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)
7. Evaluate (4^3)^2
A = I (1 + rt)
An angle which is supplementary to an interior angle.
4096
Arc length = (n/360) x pi(2r) where n is the number of degrees.
8. Formula for the area of a circle?
The curve opens downward and the vertex is the maximum point on the graph.
130pi
A = pi(r^2)
83.333%
9. The objects in a set are called two names:
3sqrt4
Members or elements
y = 2x^2 - 3
F(x-c)
10. Legs: 3 - 4. Hypotenuse?
5
A tangent is a line that only touches one point on the circumference of a circle.
The set of elements which can be found in either A or B.
No - only like radicals can be added.
11. Can you simplify sqrt72?
II
Part = Percent X Whole
The objects within a set.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
12. When does a function automatically have a restricted domain (2)?
71 - 73 - 79
62.5%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
II
13. Solve the quadratic equation ax^2 + bx + c= 0
Sector area = (n/360) X (pi)r^2
1.7
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
14. 40 < all primes<50
The objects within a set.
3/2 - 5/3
The set of elements which can be found in either A or B.
41 - 43 - 47
15. What are the rational numbers?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(a + b)^2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Even
16. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
(a - b)(a + b)
(b + c)
13pi / 2
1 & 37/132
17. Simplify (a^2 + b)^2 - (a^2 - b)^2
C = 2(pi)r
The direction of the inequality is reversed.
4a^2(b)
From northeast - counterclockwise. I - II - III - IV
18. 70 < all primes< 80
71 - 73 - 79
3
55%
2sqrt6
19. Formula of rectangle where l increases by 20% and w decreases by 20%
180 degrees
The point of intersection of the systems.
x= (1.2)(.8)lw
(amount of increase/original price) x 100%
20. Which quadrant is the upper left hand?
II
x^(2(4)) =x^8 = (x^4)^2
1
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
21. x^(-y)=
(p + q)/5
1/(x^y)
N! / (k!)(n-k)!
13pi / 2
22. Which quadrant is the upper right hand?
3
I
Undefined - because we can'T divide by 0.
(a + b)^2
23. 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?
62.5%
$3 -500 in the 9% and $2 -500 in the 7%.
No - the input value has exactly one output.
III
24. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
28. n = 8 - k = 2. n! / k!(n-k)!
The sum of digits is divisible by 9.
1:1:sqrt2
25. When the 'a' in the parabola is negative...
Part = Percent X Whole
3 - -3
413.03 / 10^4 (move the decimal point 4 places to the left)
The curve opens downward and the vertex is the maximum point on the graph.
26. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The curve opens upward and the vertex is the minimal point on the graph.
27. Can you add sqrt 3 and sqrt 5?
An arc is a portion of a circumference of a circle.
No - only like radicals can be added.
The third side is greater than the difference and less than the sum.
.0004809 X 10^11
28. What is the percent formula?
0
The set of input values for a function.
Part = Percent X Whole
The set of elements found in both A and B.
29. What is the order of operations?
13
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The curve opens upward and the vertex is the minimal point on the graph.
4725
30. A number is divisible by 9 if...
The sum of digits is divisible by 9.
The curve opens upward and the vertex is the minimal point on the graph.
11 - 13 - 17 - 19
A chord is a line segment joining two points on a circle.
31. Circumference of a circle?
x^(6-3) = x^3
A reflection about the axis.
1:1:sqrt2
Diameter(Pi)
32. 50 < all primes< 60
The sum of digits is divisible by 9.
53 - 59
The set of elements found in both A and B.
1
33. P and r are factors of 100. What is greater - pr or 100?
27^(-4)
Yes. [i.e. f(x) = x^2 - 1
1
Indeterminable.
34. 1/8 in percent?
12.5%
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 second graph is less steep.
An isosceles right triangle.
35. What is the 'union' of A and B?
Diameter(Pi)
2(pi)r^2 + 2(pi)rh
Even
The set of elements which can be found in either A or B.
36. What is the graph of f(x) shifted right c units or spaces?
An angle which is supplementary to an interior angle.
F(x-c)
x^(4+7) = x^11
F(x) + c
37. If an inequality is multiplied or divided by a negative number....
1/a^6
500
10! / (10-3)! = 720
The direction of the inequality is reversed.
38. (x^2)^4
Members or elements
A chord is a line segment joining two points on a circle.
2.592 kg
x^(2(4)) =x^8 = (x^4)^2
39. What are congruent triangles?
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 objects within a set.
Triangles with same measure and same side lengths.
0
40. Can the input value of a function have more than one output value (i.e. x: y - y1)?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
441000 = 1 10 10 10 21 * 21
No - the input value has exactly one output.
Sqrt 12
41. Which is greater? 27^(-4) or 9^(-8)
No - only like radicals can be added.
4725
0
27^(-4)
42. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
1.7
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
...multiply by 100.
Angle/360 x (pi)r^2
43. What is the 'Solution' for a system of linear equations?
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)
8
The point of intersection of the systems.
A tangent is a line that only touches one point on the circumference of a circle.
44. What is the 'Solution' for a set of inequalities.
$11 -448
The overlapping sections.
41 - 43 - 47
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)
45. 2sqrt4 + sqrt4 =
Factors are few - multiples are many.
72
4:5
3sqrt4
46. How to determine percent increase?
(amount of increase/original price) x 100%
41 - 43 - 47
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 square of the ratios of the corresponding sides.
47. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
2(pi)r^2 + 2(pi)rh
A chord is a line segment joining two points on a circle.
A circle centered on the origin with radius 8.
48. What is an exterior angle?
The direction of the inequality is reversed.
1.0843 X 10^11
5 OR -5
An angle which is supplementary to an interior angle.
49. Pi is a ratio of what to what?
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50. 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?
28. n = 8 - k = 2. n! / k!(n-k)!
1/a^6
10! / (10-3)! = 720
Yes. [i.e. f(x) = x^2 - 1