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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. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
y = 2x^2 - 3
Its divisible by 2 and by 3.
IV
90 degrees
2. (a^-1)/a^5
52
1/a^6
61 - 67
Lies opposite the greater angle
3. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
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.
2
(a - b)(a + b)
.0004809 X 10^11
4. x^4 + x^7 =
Members or elements
IV
x^(4+7) = x^11
G(x) = {x}
5. x^2 = 9. What is the value of x?
A reflection about the origin.
3/2 - 5/3
67 - 71 - 73
3 - -3
6. 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
Triangles with same measure and same side lengths.
Members or elements
18
1
7. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
The second graph is less steep.
The sum of its digits is divisible by 3.
2 & 3/7
F(x + c)
8. What is the formula for computing simple interest?
A chord is a line segment joining two points on a circle.
A = I (1 + rt)
I
(a - b)(a + b)
9. 6w^2 - w - 15 = 0
3/2 - 5/3
x^(6-3) = x^3
(n-2) x 180
A 30-60-90 triangle.
10. Whats the difference between factors and multiples?
1:sqrt3:2
Factors are few - multiples are many.
1
6
11. a^2 - 2ab + b^2
(a - b)^2
1:sqrt3:2
Its last two digits are divisible by 4.
7 / 1000
12. What percent of 40 is 22?
13pi / 2
Sqrt 12
55%
From northeast - counterclockwise. I - II - III - IV
13. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A circle centered on the origin with radius 8.
Its last two digits are divisible by 4.
1/2 times 7/3
14. How many 3-digit positive integers are even and do not contain the digit 4?
A circle centered on the origin with radius 8.
$11 -448
12! / 5!7! = 792
288 (8 9 4)
15. P and r are factors of 100. What is greater - pr or 100?
When the function is not defined for all real numbers -; only a subset of the real numbers.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
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...
Indeterminable.
16. What is the graph of f(x) shifted left c units or spaces?
8
A central angle is an angle formed by 2 radii.
180 degrees
F(x + c)
17. Legs 6 - 8. Hypotenuse?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
10
The empty set - denoted by a circle with a diagonal through it.
1/a^6
18. What is the formula for compounded interest?
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.
4a^2(b)
1
The shortest arc between points A and B on a circle'S diameter.
19. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
A circle centered at -2 - -2 with radius 3.
The two xes after factoring.
28. n = 8 - k = 2. n! / k!(n-k)!
II
20. 10^6 has how many zeroes?
.0004809 X 10^11
6
1
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
21. 8.84 / 5.2
1.7
C = 2(pi)r
F(x) - c
No - the input value has exactly one output.
22. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
72
18
2^9 / 2 = 256
The empty set - denoted by a circle with a diagonal through it.
23. A number is divisible by 3 if ...
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Members or elements
The sum of its digits is divisible by 3.
24. 1/8 in percent?
12.5%
(a - b)(a + b)
III
F(x-c)
25. Is 0 even or odd?
A tangent is a line that only touches one point on the circumference of a circle.
No - the input value has exactly one output.
Even
90pi
26. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Sector area = (n/360) X (pi)r^2
Cd
The curve opens downward and the vertex is the maximum point on the graph.
1/(x^y)
27. What is the 'Restricted domain of a function'?
When the function is not defined for all real numbers -; only a subset of the real numbers.
Area of the base X height = (pi)hr^2
Yes. [i.e. f(x) = x^2 - 1
1
28. 5x^2 - 35x -55 = 0
The shortest arc between points A and B on a circle'S diameter.
(amount of decrease/original price) x 100%
3
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
29. a^2 - b^2
The sum of its digits is divisible by 3.
Undefined
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
(a - b)(a + b)
30. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
12.5%
Two angles whose sum is 90.
Sqrt 12
A circle centered at -2 - -2 with radius 3.
31. 70 < all primes< 80
Pi is the ratio of a circle'S circumference to its diameter.
A subset.
71 - 73 - 79
All numbers multiples of 1.
32. Which quadrant is the upper right hand?
48
(amount of decrease/original price) x 100%
I
A reflection about the axis.
33. 20<all primes<30
3 - -3
288 (8 9 4)
23 - 29
6
34. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
An angle which is supplementary to an interior angle.
1
Angle/360 x (pi)r^2
35. Formula to calculate arc length?
4725
Even
(a - b)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
36. What are the integers?
3
All numbers multiples of 1.
I
A = pi(r^2)
37. Surface area for a cylinder?
The third side is greater than the difference and less than the sum.
F(x) - c
2(pi)r^2 + 2(pi)rh
x^(6-3) = x^3
38. A number is divisible by 9 if...
G(x) = {x}
Part = Percent X Whole
C = (pi)d
The sum of digits is divisible by 9.
39. Evaluate 3& 2/7 / 1/3
Sqrt 12
37.5%
9 & 6/7
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
40. sqrt 2(sqrt 6)=
A set with no members - denoted by a circle with a diagonal through it.
9 & 6/7
1.0843 X 10^11
Sqrt 12
41. How to determine percent decrease?
1
Divide by 100.
A = pi(r^2)
(amount of decrease/original price) x 100%
42. How to find the diagonal of a rectangular solid?
7 / 1000
...multiply by 100.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A set with a number of elements which can be counted.
43. What is the 'Solution' for a set of inequalities.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The overlapping sections.
11 - 13 - 17 - 19
The point of intersection of the systems.
44. What is the side length of an equilateral triangle with altitude 6?
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...
F(x + c)
An isosceles right triangle.
$11 -448
45. What is a chord of a circle?
6 : 1 : 2
A chord is a line segment joining two points on a circle.
A set with no members - denoted by a circle with a diagonal through it.
The set of input values for a function.
46. How to find the circumference of a circle which circumscribes a square?
The point of intersection of the systems.
Even
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
III
47. If an inequality is multiplied or divided by a negative number....
A = I (1 + rt)
A circle centered at -2 - -2 with radius 3.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The direction of the inequality is reversed.
48. How many multiples does a given number have?
No - the input value has exactly one output.
(amount of decrease/original price) x 100%
Infinite.
A set with a number of elements which can be counted.
49. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A set with no members - denoted by a circle with a diagonal through it.
(n-2) x 180
1
50. 4.809 X 10^7 =
x^(4+7) = x^11
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
.0004809 X 10^11
x= (1.2)(.8)lw