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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. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
4725
Its negative reciprocal. (-b/a)
No - the input value has exactly one output.
An isosceles right triangle.
2. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
y = 2x^2 - 3
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...
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
3. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
An arc is a portion of a circumference of a circle.
III
The curve opens downward and the vertex is the maximum point on the graph.
4. 10^6 has how many zeroes?
6
18
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
3
5. Which is greater? 27^(-4) or 9^(-8)
x^(2(4)) =x^8 = (x^4)^2
Its divisible by 2 and by 3.
IV
27^(-4)
6. x^4 + x^7 =
y = 2x^2 - 3
y = (x + 5)/2
x^(4+7) = x^11
Its negative reciprocal. (-b/a)
7. Evaluate 4/11 + 11/12
A circle centered at -2 - -2 with radius 3.
y = (x + 5)/2
1 & 37/132
12sqrt2
8. Solve the quadratic equation ax^2 + bx + c= 0
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The curve opens downward and the vertex is the maximum point on the graph.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1.7
9. 0^0
Two angles whose sum is 90.
1
x^(6-3) = x^3
Undefined
10. What is the formula for computing simple interest?
Diameter(Pi)
A = I (1 + rt)
All numbers multiples of 1.
23 - 29
11. A number is divisible by 9 if...
8
1
413.03 / 10^4 (move the decimal point 4 places to the left)
The sum of digits is divisible by 9.
12. The slope of a line perpendicular to (a/b)?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
N! / (n-k)!
1/2 times 7/3
Its negative reciprocal. (-b/a)
13. What are the rational numbers?
1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a + b)^2
1/a^6
14. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
70
10
F(x) + c
2 & 3/7
15. 5x^2 - 35x -55 = 0
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The sum of its digits is divisible by 3.
x^(2(4)) =x^8 = (x^4)^2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
16. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
No - only like radicals can be added.
A central angle is an angle formed by 2 radii.
18
17. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
N! / (n-k)!
0
Factors are few - multiples are many.
Members or elements
18. 1/2 divided by 3/7 is the same as
1/2 times 7/3
x= (1.2)(.8)lw
I
All numbers multiples of 1.
19. 5/6 in percent?
83.333%
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
3
10
20. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
I
4.25 - 6 - 22
A circle centered at -2 - -2 with radius 3.
II
21. The ratio of the areas of two similar polygons is ...
An arc is a portion of a circumference of a circle.
130pi
... the square of the ratios of the corresponding sides.
(n-2) x 180
22. What is the measure of an exterior angle of a regular pentagon?
13pi / 2
72
7 / 1000
4:5
23. 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
x= (1.2)(.8)lw
A = pi(r^2)
All numbers multiples of 1.
24. 1/8 in percent?
A reflection about the origin.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
12.5%
3/2 - 5/3
25. 2sqrt4 + sqrt4 =
The set of elements which can be found in either A or B.
3sqrt4
7 / 1000
180
26. How many multiples does a given number have?
The longest arc between points A and B on a circle'S diameter.
Infinite.
An arc is a portion of a circumference of a circle.
(p + q)/5
27. How many 3-digit positive integers are even and do not contain the digit 4?
70
The direction of the inequality is reversed.
288 (8 9 4)
62.5%
28. a^2 - b^2 =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(a - b)(a + b)
180
29. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
87.5%
12.5%
30. 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?
Its negative reciprocal. (-b/a)
10! / (10-3)! = 720
x= (1.2)(.8)lw
A circle centered on the origin with radius 8.
31. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
The longest arc between points A and B on a circle'S diameter.
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)
Undefined
32. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
(n-2) x 180
The interesection of A and B.
13pi / 2
33. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Indeterminable.
A 30-60-90 triangle.
An arc is a portion of a circumference of a circle.
4a^2(b)
34. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
87.5%
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
No - the input value has exactly one output.
35. 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?
N! / (k!)(n-k)!
4a^2(b)
6
An expression with just one term (-6x - 2a^2)
36. A number is divisible by 3 if ...
A reflection about the origin.
4.25 - 6 - 22
The sum of its digits is divisible by 3.
12sqrt2
37. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
An isosceles right triangle.
41 - 43 - 47
F(x + c)
38. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
1
41 - 43 - 47
10! / (10-3)! = 720
A reflection about the origin.
39. What is the slope of a horizontal line?
4a^2(b)
413.03 / 10^4 (move the decimal point 4 places to the left)
10! / (10-3)! = 720
0
40. What is the 'Solution' for a set of inequalities.
The overlapping sections.
F(x) + c
$3 -500 in the 9% and $2 -500 in the 7%.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
41. What is the formula for compounded interest?
A grouping of the members within a set based on a shared characteristic.
F(x) + c
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.
180
42. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
x(x - y + 1)
(a + b)^2
1
4:5
43. 20<all primes<30
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
55%
23 - 29
6
44. Formula to find a circle'S circumference from its radius?
A circle centered on the origin with radius 8.
C = 2(pi)r
(b + c)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
45. Which quandrant is the lower right hand?
Relationship cannot be determined (what if x is negative?)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
IV
An angle which is supplementary to an interior angle.
46. Which quadrant is the upper left hand?
12.5%
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
II
4:5
47. What is a minor arc?
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on line
183
48. Simplify (a^2 + b)^2 - (a^2 - b)^2
$11 -448
Undefined - because we can'T divide by 0.
2 & 3/7
4a^2(b)
49. What does the graph x^2 + y^2 = 64 look like?
18
The set of elements found in both A and B.
.0004809 X 10^11
A circle centered on the origin with radius 8.
50. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
A circle centered at -2 - -2 with radius 3.
28. n = 8 - k = 2. n! / k!(n-k)!
7 / 1000
N! / (n-k)!
Sorry!:) No result found.
Can you answer 50 questions in 15 minutes?
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