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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 'Solution' for a system of linear equations?
The point of intersection of the systems.
The sum of digits is divisible by 9.
Angle/360 x 2(pi)r
The two xes after factoring.
2. (-1)^2 =
Even
1
6 : 1 : 2
N! / (k!)(n-k)!
3. Formula to find a circle'S circumference from its radius?
N! / (n-k)!
71 - 73 - 79
C = 2(pi)r
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
4. A number is divisible by 9 if...
75:11
The sum of digits is divisible by 9.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1
5. Can the output value of a function have more than one input value?
288 (8 9 4)
Yes. [i.e. f(x) = x^2 - 1
The longest arc between points A and B on a circle'S diameter.
Even
6. a^2 - b^2
(b + 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)
(a - b)(a + b)
Angle/360 x (pi)r^2
7. 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)
6 : 1 : 2
Yes. [i.e. f(x) = x^2 - 1
4.25 - 6 - 22
A = pi(r^2)
8. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
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)
4:5
The sum of its digits is divisible by 3.
(a + b)^2
9. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
Triangles with same measure and same side lengths.
12.5%
Cd
20.5
10. 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
When the function is not defined for all real numbers -; only a subset of the real numbers.
Ax^2 + bx + c where a -b and c are constants and a /=0
18
True
11. Number of degrees in a triangle
180
x^(2(4)) =x^8 = (x^4)^2
71 - 73 - 79
The sum of digits is divisible by 9.
12. Circumference of a circle?
1
0
The third side is greater than the difference and less than the sum.
Diameter(Pi)
13. To convert a decimal to a percent...
0
The union of A and B.
The set of input values for a function.
...multiply by 100.
14. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A reflection about the origin.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A circle centered at -2 - -2 with radius 3.
Angle/360 x 2(pi)r
15. What are 'Supplementary angles?'
90
8
Two angles whose sum is 180.
The set of elements which can be found in either A or B.
16. What is the absolute value function?
G(x) = {x}
III
x(x - y + 1)
A = I (1 + rt)
17. What is the graph of f(x) shifted right c units or spaces?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
F(x-c)
12.5%
72
18. What is the 'Solution' for a set of inequalities.
83.333%
F(x) - c
The overlapping sections.
7 / 1000
19. The perimeter of a square is 48 inches. The length of its diagonal is:
The empty set - denoted by a circle with a diagonal through it.
An expression with just one term (-6x - 2a^2)
48
12sqrt2
20. Factor a^2 + 2ab + b^2
(a + b)^2
(amount of increase/original price) x 100%
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
G(x) = {x}
21. What are the members or elements of a set?
A set with a number of elements which can be counted.
72
The objects within a set.
.0004809 X 10^11
22. 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?
10! / (10-3)! = 720
3/2 - 5/3
62.5%
180 degrees
23. What is the maximum value for the function g(x) = (-2x^2) -1?
1
Diameter(Pi)
3 - -3
10! / 3!(10-3)! = 120
24. 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?
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)
(base*height) / 2
90 degrees
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
25. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
The point of intersection of the systems.
1
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
26. Legs: 3 - 4. Hypotenuse?
5
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
71 - 73 - 79
1/(x^y)
27. Area of a triangle?
(base*height) / 2
(amount of decrease/original price) x 100%
x^(4+7) = x^11
72
28. To convert a percent to a fraction....
An isosceles right triangle.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Divide by 100.
$3 -500 in the 9% and $2 -500 in the 7%.
29. 60 < all primes <70
Its last two digits are divisible by 4.
13pi / 2
1:sqrt3:2
61 - 67
30. Formula to find a circle'S circumference from its diameter?
A reflection about the axis.
C = (pi)d
.0004809 X 10^11
1/(x^y)
31. What are the integers?
2^9 / 2 = 256
All numbers multiples of 1.
A = I (1 + rt)
2sqrt6
32. What is a finite set?
The objects within a set.
A set with a number of elements which can be counted.
(a - b)^2
3
33. sqrt 2(sqrt 6)=
An arc is a portion of a circumference of a circle.
The direction of the inequality is reversed.
Sqrt 12
2(pi)r^2 + 2(pi)rh
34. Convert 0.7% to a fraction.
x^(2(4)) =x^8 = (x^4)^2
The sum of digits is divisible by 9.
7 / 1000
A grouping of the members within a set based on a shared characteristic.
35. Simplify the expression [(b^2 - c^2) / (b - c)]
An angle which is supplementary to an interior angle.
II
(a - b)^2
(b + c)
36. Length of an arc of a circle?
Angle/360 x 2(pi)r
The curve opens downward and the vertex is the maximum point on the graph.
y = 2x^2 - 3
10
37. Can you subtract 3sqrt4 from sqrt4?
x(x - y + 1)
83.333%
Yes - like radicals can be added/subtracted.
10! / (10-3)! = 720
38. Evaluate 3& 2/7 / 1/3
A tangent is a line that only touches one point on the circumference of a circle.
4:5
9 & 6/7
72
39. (6sqrt3) x (2sqrt5) =
Angle/360 x (pi)r^2
Undefined - because we can'T divide by 0.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
40. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
A circle centered on the origin with radius 8.
72
(p + q)/5
41. What is the 'domain' of a function?
Move the decimal point to the right x places
The set of input values for a function.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1:sqrt3:2
42. What is the ratio of the sides of an isosceles right triangle?
130pi
1:1:sqrt2
Area of the base X height = (pi)hr^2
500
43. Formula of rectangle where l increases by 20% and w decreases by 20%
4.25 - 6 - 22
x= (1.2)(.8)lw
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A grouping of the members within a set based on a shared characteristic.
44. a^2 + 2ab + b^2
90
The sum of digits is divisible by 9.
Yes - like radicals can be added/subtracted.
(a + b)^2
45. Which is greater? 64^5 or 16^8
9 : 25
53 - 59
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The empty set - denoted by a circle with a diagonal through it.
46. What is an isoceles triangle?
3/2 - 5/3
From northeast - counterclockwise. I - II - III - IV
Two equal sides and two equal angles.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
47. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
90
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
...multiply by 100.
12! / 5!7! = 792
48. What is the measure of an exterior angle of a regular pentagon?
72
The overlapping sections.
The curve opens downward and the vertex is the maximum point on the graph.
0
49. 7/8 in percent?
The steeper the slope.
87.5%
1:sqrt3:2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
50. Reduce: 4.8 : 0.8 : 1.6
48
Yes. [i.e. f(x) = x^2 - 1
N! / (n-k)!
6 : 1 : 2