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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. Ø Is neither
Even prime number
Positive or Negative
2.592 kg
1:1:sqrt2
2. Circumference of a circle?
x²-2xy+y²
A=½bh
Diameter(Pi)
1/x
3. 6w^2 - w - 15 = 0
Ø
3/2 - 5/3
(a - b)(a + b)
... the square of the ratios of the corresponding sides.
4. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
The set of elements which can be found in either A or B.
12! / 5!7! = 792
(a - b)^2
5. 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?
1.0843 X 10^11
10! / (10-3)! = 720
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
F(x-c)
6. What are 'Supplementary angles?'
5 OR -5
1
Two angles whose sum is 180.
28. n = 8 - k = 2. n! / k!(n-k)!
7. 3/8 in percent?
72
6 : 1 : 2
37.5%
Do not have slopes!
8. What is the maximum value for the function g(x) = (-2x^2) -1?
The set of input values for a function.
288 (8 9 4)
P=4s (s=side)
1
9. 3 is the opposite of
9 & 6/7
28. n = 8 - k = 2. n! / k!(n-k)!
55%
3
10. What is a percent?
A central angle is an angle formed by 2 radii.
A percent is a fraction whose denominator is 100.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
10! / 3!(10-3)! = 120
11. What is the 'union' of A and B?
y = (x + 5)/2
The set of elements which can be found in either A or B.
y/x is a constant
= (actual decrease/Original amount) x 100%
12. The sum of all angles around a point
(2x7)³
360°
4.25 - 6 - 22
(distance)/(rate) d/r
13. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
4096
Ab=k (k is a constant)
No - only like radicals can be added.
14. (2²)³
0
26
N! / (k!)(n-k)!
A = length x width
15. Volume of a cube
A²+b²=c²
(rate)(time) d=rt
Edge³
The interesection of A and B.
16. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
Indeterminable.
1/2 times 7/3
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
10! / 3!(10-3)! = 120
17. Define a 'Term' -
Positive
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.)
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)
1.7
18. A number is divisible by 6 if...
Cd
Its divisible by 2 and by 3.
Even prime number
Undefined - because we can'T divide by 0.
19. 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?
y = 2x^2 - 3
13
180
3 - -3
20. If Event is impossible
The objects within a set.
(a - b)^2
P(E) = ø
1 - P(E)
21. a^2 - 2ab + b^2
angle that is greater than 90° but less than 180°
The empty set - denoted by a circle with a diagonal through it.
(a - b)^2
The second graph is less steep.
22. What is the order of operations?
Positive
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
P(E) = 1/1 = 1
... the square of the ratios of the corresponding sides.
23. If E is certain
4725
23 - 29
4a^2(b)
P(E) = 1/1 = 1
24. x^4 + x^7 =
52
x^(4+7) = x^11
A set with no members - denoted by a circle with a diagonal through it.
2.592 kg
25. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
P(E) = 1/1 = 1
Undefined
The second graph is less steep.
26. What is the side length of an equilateral triangle with altitude 6?
P(E) = 1/1 = 1
The point of intersection of the systems.
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...
M
27. What are congruent triangles?
1.0843 X 10^11
3 - -3
Triangles with same measure and same side lengths.
Subtract them. i.e (5^7)/(5^3)= 5^4
28. (a^-1)/a^5
1/a^6
1
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 set with a number of elements which can be counted.
29. Probability of an Event
P(E) = number of favorable outcomes/total number of possible outcomes
y = 2x^2 - 3
2sqrt6
Positive
30. What is the 'domain' of a function?
(a - b)(a + b)
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)
No - only like radicals can be added.
The set of input values for a function.
31. Formula to calculate arc length?
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
An angle which is supplementary to an interior angle.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
32. Ø is a multiple of
4a^2(b)
Undefined
Positive
Two (Ø×2=Ø)
33. Describe the relationship between 3x^2 and 3(x - 1)^2
1:sqrt3:2
288 (8 9 4)
Ø
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
34. What percent of 40 is 22?
A=½bh
Arc length = (n/360) x pi(2r) where n is the number of degrees.
55%
360/n
35. For any number x
(b + c)
Can be negative - zero - or positive
The point of intersection of the systems.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
36. 30< all primes<40
F(x + c)
31 - 37
20.5
An infinite set.
37. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A = length x width
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A reflection about the axis.
= (actual decrease/Original amount) x 100%
38. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
D/t (distance)/(time)
(a + b)^2
8
39. factored binomial product of (x+y)²
1:1:sqrt2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
x²+2xy+y²
Members or elements
40. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
P(E) = number of favorable outcomes/total number of possible outcomes
The set of input values for a function.
288 (8 9 4)
41. Area of a triangle
28. n = 8 - k = 2. n! / k!(n-k)!
x²+2xy+y²
2(pi)r
A= (1/2) b*h
42. The reciprocal of any non-zero number is
1/x
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Ø Ø=Ø
360°
43. 2³×7³
2^9 / 2 = 256
The set of output values for a function.
(2x7)³
1.7
44. If a product of two numbers is Ø - one number must be
Ø
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
A-b is negative
x - x+1 - x+2
45. In a Rectangle - each angles measures
90°
An arc is a portion of a circumference of a circle.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A multiple of every integer
46. Circumference of a circle
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)
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...
Two (Ø×2=Ø)
Pi(diameter)
47. How to recognize a # as a multiple of 4
3x - 4x - 5x
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.)
A subset.
1/2 times 7/3
48. Simplify the expression [(b^2 - c^2) / (b - c)]
Undefined
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(b + c)
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
49. a(b+c)
C=2 x pi x r OR pi x D
1
1 & 37/132
Ab+ac
50. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
(pi)r²
A natural number greater than 1 that has no positive divisors other than 1 and itself
The greatest value minus the smallest.
Cd