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Test your basic knowledge |
GRE Math: All In One
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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 are the members or elements of a set?
5
7 / 1000
Ab=k (k is a constant)
The objects within a set.
2. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
Ab=k (k is a constant)
3
(pi)r²
Ab-ac
3. 30 60 90
(a + b)^2
3x - 4x - 5x
P=2(l+w)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
4. a<b then a - b is positive or negative?
A-b is negative
Sector area = (n/360) X (pi)r^2
130pi
Can be negative - zero - or positive
5. What percent of 40 is 22?
55%
The set of elements found in both A and B.
130pi
V=l×w×h
6. 8.84 / 5.2
1.7
C=2 x pi x r OR pi x D
90pi
Parallelogram
7. x^2 = 9. What is the value of x?
0
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
3 - -3
27^(-4)
8. A number is divisible by 4 is...
Edge³
Its last two digits are divisible by 4.
10
Diameter(Pi)
9. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
An infinite set.
(a - b)(a + b)
(pi)r²
10. What are complementary angles?
Sector area = (n/360) X (pi)r^2
Two angles whose sum is 90.
Its divisible by 2 and by 3.
Pi(diameter)
11. Ø is a multiple of
Two (Ø×2=Ø)
Diameter(Pi)
A+c<b+c
(pi)r²
12. The reciprocal of any non-zero #x is
130pi
The set of elements found in both A and B.
180°
1/x
13. In any polygon - all external angles equal up to
(p + q)/5
V=side³
Its divisible by 2 and by 3.
360°
14. Can you simplify sqrt72?
1.0843 X 10^11
The steeper the slope.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Two angles whose sum is 90.
15. 40 < all primes<50
y2-y1/x2-x1
N! / (n-k)!
41 - 43 - 47
A reflection about the axis.
16. 5/8 in percent?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
62.5%
Its divisible by 2 and by 3.
A-b is negative
17. Probability of an Event
V=side³
(pi)r²
P(E) = number of favorable outcomes/total number of possible outcomes
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
18. Legs 6 - 8. Hypotenuse?
10
(a - b)(a + b)
The union of A and B.
2sqrt6
19. Simplify the expression (p^2 - q^2)/ -5(q - p)
(x+y)(x-y)
an angle that is less than 90°
(p + q)/5
Positive
20. What is an exterior angle?
An angle which is supplementary to an interior angle.
Subtract them. i.e (5^7)/(5^3)= 5^4
y/x is a constant
1 & 37/132
21. What is a minor arc?
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22. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
1.0843 X 10^11
V=l×w×h
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)
4725
23. Find distance when given time and rate
D=rt so r= d/t and t=d/r
A multiple of every integer
Straight Angle
61 - 67
24. Legs 5 - 12. Hypotenuse?
Even
F(x + c)
13
The set of elements which can be found in either A or B.
25. When multiplying exponential #s with the same base - you do this to the exponents...
A = pi(r^2)
360°
A central angle is an angle formed by 2 radii.
Add them. i.e. (5^7) * (5^3) = 5^10
26. Solve the quadratic equation ax^2 + bx + c= 0
F(x-c)
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...
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1.0843 X 10^11
27. Formula to find a circle'S circumference from its diameter?
Pi(diameter)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
C = (pi)d
An angle which is supplementary to an interior angle.
28. (x^2)^4
5 OR -5
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A natural number greater than 1 that has no positive divisors other than 1 and itself
x^(2(4)) =x^8 = (x^4)^2
29. How to recognize a # as a multiple of 3
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
The shortest arc between points A and B on a circle'S diameter.
1 - P(E)
an angle that is less than 90°
30. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
A = length x width
8
Ab+ac
Negative
31. Rate
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
Positive
D/t (distance)/(time)
1.0843 X 10^11
32. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
F(x-c)
An isosceles right triangle.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The steeper the slope.
33. 3/8 in percent?
6 : 1 : 2
The two xes after factoring.
37.5%
F(x) - c
34. The reciprocal of any non-zero number is
D=rt so r= d/t and t=d/r
Every number
Ab=k (k is a constant)
1/x
35. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
A+c<b+c
4:5
55%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
36. The negative exponent x?n is equivalent to what?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
72
y = (x + 5)/2
The interesection of A and B.
37. Important properties of a 30-60-90 triangle?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
All numbers multiples of 1.
x^(4+7) = x^11
38. 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...
P= 2L + 2w
2²
(x+y)(x-y)
39. Which is greater? 200x^295 or 10x^294?
Parallelogram
1 & 37/132
Relationship cannot be determined (what if x is negative?)
x - x(SR3) - 2x
40. A prime number (or a prime)
Relationship cannot be determined (what if x is negative?)
A = length x width
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)
A natural number greater than 1 that has no positive divisors other than 1 and itself
41. 25^(1/2) or sqrt. 25 =
3
The set of elements found in both A and B.
5 OR -5
12! / 5!7! = 792
42. What is the graph of f(x) shifted upward c units or spaces?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A = pi(r^2)
F(x) + c
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...
43. (2²)³
Distance=rate×time or d=rt
V=side³
26
Arc length = (n/360) x pi(2r) where n is the number of degrees.
44. P and r are factors of 100. What is greater - pr or 100?
90pi
(amount of decrease/original price) x 100%
Indeterminable.
... the square of the ratios of the corresponding sides.
45. 3 is the opposite of
A = pi(r^2)
Triangles with same measure and same side lengths.
3
(base*height) / 2
46. 5x^2 - 35x -55 = 0
(a + b)^2
(a - b)(a + b)
A percent is a fraction whose denominator is 100.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
47. What are the irrational numbers?
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48. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
0
Ø
8
49. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
Straight Angle
83.333%
= (actual decrease/Original amount) x 100%
50. What is a percent?
A<-b
A-b is positive
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)
A percent is a fraction whose denominator is 100.
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