Test your basic knowledge |

GRE Math: All In One

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