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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. What is the maximum value for the function g(x) = (-2x^2) -1?
N! / (k!)(n-k)!
1
Ab=k (k is a constant)
Factors are few - multiples are many.
2. What is a percent?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A percent is a fraction whose denominator is 100.
67 - 71 - 73
(b + c)
3. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
1
C = (pi)d
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
4. a(b+c)
288 (8 9 4)
Ab+ac
(a + b)^2
The objects within a set.
5. a^2 - b^2
Undefined
71 - 73 - 79
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
(a - b)(a + b)
6. 6w^2 - w - 15 = 0
Positive
3/2 - 5/3
2(pi)r
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
7. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
A-b is negative
Positive
5
$3 -500 in the 9% and $2 -500 in the 7%.
8. What is the empty set?
Null
(pi)r²
A set with no members - denoted by a circle with a diagonal through it.
500
9. 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?
48
X
1/x
12! / 5!7! = 792
10. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
28
Its last two digits are divisible by 4.
72
11. What number between 70 & 75 - inclusive - has the greatest number of factors?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
V=Lwh
Diameter(Pi)
72
12. What is the set of elements found in both A and B?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
3 - -3
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The interesection of A and B.
13. The negative exponent x?n is equivalent to what?
27^(-4)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
ODD number
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
14. 1/2 divided by 3/7 is the same as
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
(distance)/(rate) d/r
Indeterminable.
1/2 times 7/3
15. Time
Even prime number
V=side³
5 OR -5
(distance)/(rate) d/r
16. Volume of a rectangular solid
C = 2(pi)r
6 : 1 : 2
Ab-ac
(length)(width)(height)
17. To decrease a number by x%
The shortest arc between points A and B on a circle'S diameter.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
10! / 3!(10-3)! = 120
Positive or Negative
18. X is the opposite of
X
P= 2L + 2w
A natural number greater than 1 that has no positive divisors other than 1 and itself
Undefined - because we can'T divide by 0.
19. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
67 - 71 - 73
x²+2xy+y²
18
20. a^2 + 2ab + b^2
M
Negative
Two equal sides and two equal angles.
(a + b)^2
21. 2³×7³
(2x7)³
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
4a^2(b)
1
22. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
An angle which is supplementary to an interior angle.
x²+2xy+y²
Ab-ac
23. ز
Parallelogram
(a - b)(a + b)
Ø
83.333%
24. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
ODD number
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
71 - 73 - 79
25. 1/8 in percent?
5 OR -5
12.5%
Ab=k (k is a constant)
X
26. a>b then a - b is positive or negative?
A-b is positive
F(x) - c
Undefined
Positive
27. What is the slope of a vertical line?
Warning
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/var/www/html/basicversity.com/show_quiz.php
on line
183
28. -3³
Can be negative - zero - or positive
55%
x²-y²
27
29. Circumference of a circle
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
70
Pi(diameter)
3 - 4 - 5
30. The sum of the measures of the n angles in a polygon with n sides
Every number
(n-2) x 180
The shortest arc between points A and B on a circle'S diameter.
The greatest value minus the smallest.
31. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
2²
The set of output values for a function.
360°
32. In a rectangle - all angles are
Right
x - x(SR3) - 2x
Ø
Positive or Negative
33. For any number x
90°
2(pi)r
4.25 - 6 - 22
Can be negative - zero - or positive
34. bn
B?b?b (where b is used as a factor n times)
D/t (distance)/(time)
Even prime number
An infinite set.
35. 5/6 in percent?
83.333%
90°
Ab-ac
62.5%
36. factored binomial product of (x-y)²
x²-2xy+y²
A-b is negative
13
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
37. 25+2³
28
360°
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.)
2.592 kg
38. What are the real numbers?
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)
x^(4+7) = x^11
441000 = 1 10 10 10 21 * 21
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
39. (x-y)(x+y)
A reflection about the axis.
(p + q)/5
x²-y²
The set of elements found in both A and B.
40. 30 60 90
1/a^6
3 - 4 - 5
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.
41. What is the 'union' of A and B?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
A= (1/2) b*h
Edge³
The set of elements which can be found in either A or B.
42. Formula to find a circle'S circumference from its diameter?
C=2 x pi x r OR pi x D
C = (pi)d
The set of elements found in both A and B.
A subset.
43. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
27^(-4)
2
Ab+ac
(a + b)^2
44. If a is inversely porportional to b - what does it equal?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
P(E) = 1/1 = 1
Ab=k (k is a constant)
The two xes after factoring.
45. Acute Angle
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(rate)(time) d=rt
an angle that is less than 90°
Two angles whose sum is 90.
46. -3²
The set of output values for a function.
Cd
9
Null
47. Ø is
A multiple of every integer
x²-2xy+y²
5 - 12 - 13
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)
48. Can you subtract 3sqrt4 from sqrt4?
Positive
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)
Yes - like radicals can be added/subtracted.
A = length x width
49. 70 < all primes< 80
71 - 73 - 79
The sum of its digits is divisible by 3.
F(x + c)
(distance)/(rate) d/r
50. Simplify 9^(1/2) X 4^3 X 2^(-6)?
(a + b)^2
13pi / 2
3
Indeterminable.