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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. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
9 : 25
Part = Percent X Whole
48
72
2. 3/8 in percent?
The steeper the slope.
37.5%
The two xes after factoring.
1/(x^y)
3. What is the set of elements found in both A and B?
83.333%
An arc is a portion of a circumference of a circle.
x(x - y + 1)
The interesection of A and B.
4. Formula to calculate arc length?
Factors are few - multiples are many.
(b + c)
A grouping of the members within a set based on a shared characteristic.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
5. 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
18
12sqrt2
A 30-60-90 triangle.
.0004809 X 10^11
6. What is the graph of f(x) shifted upward c units or spaces?
A tangent is a line that only touches one point on the circumference of a circle.
16.6666%
F(x) + c
A = I (1 + rt)
7. 50 < all primes< 60
20.5
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
53 - 59
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)
8. 5/8 in percent?
62.5%
10! / 3!(10-3)! = 120
1 & 37/132
11 - 13 - 17 - 19
9. Simplify (a^2 + b)^2 - (a^2 - b)^2
A central angle is an angle formed by 2 radii.
4a^2(b)
3
10
10. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Two angles whose sum is 180.
1
The set of elements which can be found in either A or B.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
11. a^0 =
1
x^(6-3) = x^3
7 / 1000
9 : 25
12. Formula to find a circle'S circumference from its diameter?
C = (pi)d
6
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)
1
13. What is a subset?
A grouping of the members within a set based on a shared characteristic.
F(x) + c
Even
I
14. Which is greater? 200x^295 or 10x^294?
4096
52
Relationship cannot be determined (what if x is negative?)
C = 2(pi)r
15. 10<all primes<20
11 - 13 - 17 - 19
.0004809 X 10^11
Two angles whose sum is 180.
2(pi)r^2 + 2(pi)rh
16. Can you simplify sqrt72?
Relationship cannot be determined (what if x is negative?)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A set with a number of elements which can be counted.
17. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
A grouping of the members within a set based on a shared characteristic.
y = 2x^2 - 3
N! / (k!)(n-k)!
10
18. Evaluate 4/11 + 11/12
Angle/360 x 2(pi)r
The set of input values for a function.
x^(2(4)) =x^8 = (x^4)^2
1 & 37/132
19. x^6 / x^3
x^(6-3) = x^3
(b + c)
Cd
2 & 3/7
20. What is a major arc?
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21. What is the 'Restricted domain of a function'?
10
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
When the function is not defined for all real numbers -; only a subset of the real numbers.
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.
22. Which is greater? 27^(-4) or 9^(-8)
(amount of decrease/original price) x 100%
90
28. n = 8 - k = 2. n! / k!(n-k)!
27^(-4)
23. 1/8 in percent?
12.5%
1/(x^y)
A reflection about the origin.
90pi
24. What are the members or elements of a set?
Its last two digits are divisible by 4.
The objects within a set.
18
y = (x + 5)/2
25. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
9 & 6/7
62.5%
(base*height) / 2
26. Convert 0.7% to a fraction.
Ax^2 + bx + c where a -b and c are constants and a /=0
53 - 59
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 / 1000
27. 7/8 in percent?
Lies opposite the greater angle
2sqrt6
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
87.5%
28. The ratio of the areas of two similar polygons is ...
11 - 13 - 17 - 19
Diameter(Pi)
... the square of the ratios of the corresponding sides.
61 - 67
29. Evaluate 3& 2/7 / 1/3
9 : 25
9 & 6/7
An isosceles right triangle.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
30. Simplify 9^(1/2) X 4^3 X 2^(-6)?
2 & 3/7
441000 = 1 10 10 10 21 * 21
3
20.5
31. How to find the diagonal of a rectangular solid?
3
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Ax^2 + bx + c where a -b and c are constants and a /=0
32. a^2 - b^2
(a - b)(a + b)
Two angles whose sum is 180.
A = pi(r^2)
An isosceles right triangle.
33. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
12! / 5!7! = 792
C = 2(pi)r
61 - 67
34. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
Sector area = (n/360) X (pi)r^2
Part = Percent X Whole
10! / 3!(10-3)! = 120
35. What is the formula for computing simple interest?
90
The set of elements which can be found in either A or B.
A = I (1 + rt)
I
36. What is the slope of a vertical line?
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37. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The objects within a set.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
8
83.333%
38. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
y = (x + 5)/2
1
An infinite set.
39. What is the graph of f(x) shifted right c units or spaces?
1
Infinite.
1/2 times 7/3
F(x-c)
40. What is a minor arc?
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41. If an inequality is multiplied or divided by a negative number....
12sqrt2
The direction of the inequality is reversed.
1/a^6
(a - b)(a + b)
42. What is the side length of an equilateral triangle with altitude 6?
A = pi(r^2)
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...
A set with a number of elements which can be counted.
When the function is not defined for all real numbers -; only a subset of the real numbers.
43. Can the output value of a function have more than one input value?
(p + q)/5
Yes. [i.e. f(x) = x^2 - 1
The steeper the slope.
10! / (10-3)! = 720
44. What is the percent formula?
A 30-60-90 triangle.
3sqrt4
Part = Percent X Whole
Angle/360 x (pi)r^2
45. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Its last two digits are divisible by 4.
2
The interesection of A and B.
1
46. Which quandrant is the lower right hand?
IV
I
4a^2(b)
The empty set - denoted by a circle with a diagonal through it.
47. sqrt 2(sqrt 6)=
Infinite.
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...
Yes. [i.e. f(x) = x^2 - 1
Sqrt 12
48. What are the real numbers?
No - only like radicals can be added.
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)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
IV
49. Reduce: 4.8 : 0.8 : 1.6
2(pi)r^2 + 2(pi)rh
Yes - like radicals can be added/subtracted.
The set of input values for a function.
6 : 1 : 2
50. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
The sum of digits is divisible by 9.
A circle centered at -2 - -2 with radius 3.
A set with a number of elements which can be counted.
Its divisible by 2 and by 3.