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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. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
180 degrees
53 - 59
27^(-4)
2. What is the absolute value function?
3
G(x) = {x}
Sqrt 12
A circle centered on the origin with radius 8.
3. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
(a - b)^2
Even
8
N! / (n-k)!
4. To convert a decimal to a percent...
5 OR -5
6
...multiply by 100.
1
5. (-1)^2 =
A chord is a line segment joining two points on a circle.
(amount of decrease/original price) x 100%
The curve opens downward and the vertex is the maximum point on the graph.
1
6. (a^-1)/a^5
The sum of its digits is divisible by 3.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1/a^6
x^(2(4)) =x^8 = (x^4)^2
7. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
x(x - y + 1)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
4725
The overlapping sections.
8. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
...multiply by 100.
A reflection about the origin.
Diameter(Pi)
1/2 times 7/3
9. 10<all primes<20
The greatest value minus the smallest.
31 - 37
$11 -448
11 - 13 - 17 - 19
10. What is a major arc?
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183
11. When does a function automatically have a restricted domain (2)?
The longest arc between points A and B on a circle'S diameter.
75:11
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(a - b)^2
12. 5/6 in percent?
(a - b)^2
10
Part = Percent X Whole
83.333%
13. 413.03 x 10^(-4) =
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Yes - like radicals can be added/subtracted.
413.03 / 10^4 (move the decimal point 4 places to the left)
9 & 6/7
14. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
F(x) + c
Relationship cannot be determined (what if x is negative?)
A= I (1 + (r/c))^tC - where I is the investment - C is the number of times compounded annually - and t is the number of years.
A 30-60-90 triangle.
15. 4.809 X 10^7 =
Area of the base X height = (pi)hr^2
.0004809 X 10^11
16.6666%
0
16. a^2 - 2ab + b^2
(a - b)^2
3
(b + c)
72
17. Factor a^2 + 2ab + b^2
(a + b)^2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The union of A and B.
Divide by 100.
18. To multiply a number by 10^x
A tangent is a line that only touches one point on the circumference of a circle.
$11 -448
A grouping of the members within a set based on a shared characteristic.
Move the decimal point to the right x places
19. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
The second graph is less steep.
Relationship cannot be determined (what if x is negative?)
1
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
20. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / 3!(10-3)! = 120
2^9 / 2 = 256
67 - 71 - 73
A circle centered on the origin with radius 8.
21. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
1:1:sqrt2
2(pi)r^2 + 2(pi)rh
Area of the base X height = (pi)hr^2
22. What is the graph of f(x) shifted upward c units or spaces?
1/(x^y)
37.5%
F(x) + c
71 - 73 - 79
23. 3/8 in percent?
48
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
37.5%
9 & 6/7
24. What is the intersection of A and B?
12.5%
The set of elements found in both A and B.
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)
N! / (k!)(n-k)!
25. Number of degrees in a triangle
No - the input value has exactly one output.
180
True
The greatest value minus the smallest.
26. Which is greater? 200x^295 or 10x^294?
... the square of the ratios of the corresponding sides.
10! / 3!(10-3)! = 120
Relationship cannot be determined (what if x is negative?)
Diameter(Pi)
27. In a regular polygon with n sides - the formula for the sum of interior angles
The overlapping sections.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
90
(n-2) x 180
28. What is the 'Solution' for a system of linear equations?
28. n = 8 - k = 2. n! / k!(n-k)!
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
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 point of intersection of the systems.
29. Can you add sqrt 3 and sqrt 5?
180 degrees
II
No - only like radicals can be added.
(a - b)^2
30. a^2 - b^2
(a - b)(a + b)
4096
A grouping of the members within a set based on a shared characteristic.
C = (pi)d
31. Length of an arc of a circle?
12sqrt2
Angle/360 x 2(pi)r
The union of A and B.
16.6666%
32. (-1)^3 =
13pi / 2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
1
Ax^2 + bx + c where a -b and c are constants and a /=0
33. Which quandrant is the lower right hand?
IV
Area of the base X height = (pi)hr^2
52
The set of elements which can be found in either A or B.
34. The slope of a line perpendicular to (a/b)?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
288 (8 9 4)
Its negative reciprocal. (-b/a)
...multiply by 100.
35. Evaluate (4^3)^2
4096
6 : 1 : 2
Its last two digits are divisible by 4.
Lies opposite the greater angle
36. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
The interesection of A and B.
90
1
37. 20<all primes<30
1 & 37/132
The greatest value minus the smallest.
130pi
23 - 29
38. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
1:1:sqrt2
An isosceles right triangle.
IV
Two equal sides and two equal angles.
39. A number is divisible by 4 is...
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
31 - 37
Its last two digits are divisible by 4.
40. What is the graph of f(x) shifted right c units or spaces?
48
F(x-c)
9 & 6/7
Sqrt 12
41. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
The set of output values for a function.
9 : 25
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
75:11
42. a^2 - b^2 =
(a - b)(a + b)
6
The third side is greater than the difference and less than the sum.
.0004809 X 10^11
43. What are the smallest three prime numbers greater than 65?
41 - 43 - 47
67 - 71 - 73
F(x-c)
(amount of decrease/original price) x 100%
44. Whats the difference between factors and multiples?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Factors are few - multiples are many.
12sqrt2
The set of elements found in both A and B.
45. Convert 0.7% to a fraction.
3
Even
The interesection of A and B.
7 / 1000
46. How to find the area of a sector?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
288 (8 9 4)
Angle/360 x (pi)r^2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
47. (12sqrt15) / (2sqrt5) =
2sqrt6
1/2 times 7/3
No - only like radicals can be added.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
48. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
130pi
4.25 - 6 - 22
53 - 59
Cd
49. 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))?
20.5
10! / 3!(10-3)! = 120
(a - b)(a + b)
The set of elements found in both A and B.
50. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
The sum of its digits is divisible by 3.
x^(2(4)) =x^8 = (x^4)^2
A set with a number of elements which can be counted.