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Test your basic knowledge |
GRE Math: All In One
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. Circumference of a circle
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
2(pi)r
Even prime number
Ø
2. A number is divisible by 9 if...
D/t (distance)/(time)
Straight Angle
The sum of digits is divisible by 9.
12sqrt2
3. 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?
90°
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
y = 2x^2 - 3
x²-y²
4. 30 60 90
5 - 12 - 13
5 OR -5
Ø=P(E)=1
Ab-ac
5. Probability of an Event
The sum of digits is divisible by 9.
3/2 - 5/3
Null
P(E) = number of favorable outcomes/total number of possible outcomes
6. The objects in a set are called two names:
True
Members or elements
P(E) = number of favorable outcomes/total number of possible outcomes
Ø
7. a^0 =
1
13pi / 2
67 - 71 - 73
Negative
8. Evaluate 3& 2/7 / 1/3
A tangent is a line that only touches one point on the circumference of a circle.
= (actual decrease/Original amount) x 100%
The longest arc between points A and B on a circle'S diameter.
9 & 6/7
9. Area of a circle
(pi)r²
A=pi*(r^2)
0
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
10. Simplify the expression [(b^2 - c^2) / (b - c)]
13pi / 2
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
= (actual decrease/Original amount) x 100%
(b + c)
11. Area of a circle
A=pi*(r^2)
67 - 71 - 73
Positive
55%
12. the measure of a straight angle
V=l×w×h
180
x - x+1 - x+2
180°
13. What is a set with no members called?
1
360°
The empty set - denoted by a circle with a diagonal through it.
The longest arc between points A and B on a circle'S diameter.
14. When dividing exponential #s with the same base - you do this to the exponents...
5 - 12 - 13
87.5%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Subtract them. i.e (5^7)/(5^3)= 5^4
15. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
1
90°
Ab+ac
16. Slope
Two angles whose sum is 180.
V=side³
M= (Y1-Y2)/(X1-X2)
y2-y1/x2-x1
17. 1 is the
3
1
Smallest positive integer
x²-y²
18. (x+y)²
F(x) + c
90°
x²+2xy+y²
The set of input values for a function.
19. Area of a triangle
A= (1/2) b*h
Diameter(Pi)
Members or elements
A 30-60-90 triangle.
20. 5x^2 - 35x -55 = 0
The second graph is less steep.
The interesection of A and B.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The overlapping sections.
21. What is the set of elements found in both A and B?
The interesection of A and B.
441000 = 1 10 10 10 21 * 21
N! / (n-k)!
zero
22. What is a subset?
A grouping of the members within a set based on a shared characteristic.
V=Lwh
The sum of its digits is divisible by 3.
Ab-ac
23. If a product of two numbers is Ø - one number must be
Ø
A = length x width
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x^(6-3) = x^3
24. A prime number (or a prime)
A natural number greater than 1 that has no positive divisors other than 1 and itself
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
Ø Ø=Ø
2(pi)r
25. A number is divisible by 6 if...
360°
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Its divisible by 2 and by 3.
(rate)(time) d=rt
26. 10^6 has how many zeroes?
6
26
(amount of decrease/original price) x 100%
(length)(width)(height)
27. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
P=4s (s=side)
87.5%
The direction of the inequality is reversed.
28. When multiplying exponential #s with the same base - you do this to the exponents...
180°
A 30-60-90 triangle.
26
Add them. i.e. (5^7) * (5^3) = 5^10
29. What is the name of set with a number of elements which cannot be counted?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An infinite set.
13pi / 2
130pi
30. Ø is
Even
Positive or Negative
M
A-b is negative
31. What is a major arc?
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on line
183
32. An Angle that'S 180°
180 degrees
Straight Angle
(pi)r²
The shortest arc between points A and B on a circle'S diameter.
33. 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)
A=(base)(height)
The sum of its digits is divisible by 3.
360°
34. -3²
9
3 - 4 - 5
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
12sqrt2
35. 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
1
72
Every number
36. If a is negative and n is even then an is (positive or negative?)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
an angle that is less than 90°
An is positive
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
37. Perimeter of a rectangle
Members or elements
180 degrees
12.5%
P= 2L + 2w
38. a^2 - b^2
The direction of the inequality is reversed.
(a - b)^2
(a - b)(a + b)
The longest arc between points A and B on a circle'S diameter.
39. How many sides does a hexagon have?
500
6
31 - 37
2^9 / 2 = 256
40. To decrease a number by x%
360°
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
V=side³
The set of output values for a function.
41. 6w^2 - w - 15 = 0
Arc length = (n/360) x pi(2r) where n is the number of degrees.
31 - 37
The objects within a set.
3/2 - 5/3
42. A number is divisible by 4 is...
M
1 - P(E)
70
Its last two digits are divisible by 4.
43. 2³×7³
(2x7)³
Cd
1
28. n = 8 - k = 2. n! / k!(n-k)!
44. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
x^(2(4)) =x^8 = (x^4)^2
Factors are few - multiples are many.
A multiple of every integer
45. For any number x
(a - b)^2
A multiple of every integer
3x - 4x - 5x
Can be negative - zero - or positive
46. What percent of 40 is 22?
1
D/t (distance)/(time)
55%
2 & 3/7
47. a^2 + 2ab + b^2
62.5%
2²
(a + b)^2
C=2 x pi x r OR pi x D
48. How to recognize a # as a multiple of 4
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
180
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
3 - -3
49. One is (a prime or not?)
NOT A PRIME
Do not have slopes!
(b + c)
A=½bh
50. If a lamp decreases to $80 - from $100 - what is the decrease in price?
An angle which is supplementary to an interior angle.
Positive
(base*height) / 2
= (actual decrease/Original amount) x100% = 20/100x100% = 20%