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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. If a lamp increases from $80 to $100 - what is the percent increase?
2.592 kg
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
27

2. What are the irrational numbers?

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3. formula for area of a triangle
An is positive
A=½bh
Undefined
Sum of digits is a multiple of 3 and the last digit is even.

4. For any number x
Can be negative - zero - or positive
180
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
4:5

5. What is the 'Range' of a series of numbers?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The greatest value minus the smallest.
A set with a number of elements which can be counted.
(a - b)^2

6. 25/2³
NOT A PRIME
D=rt so r= d/t and t=d/r
2²
D/t (distance)/(time)

7. Ø is a multiple of
A tangent is a line that only touches one point on the circumference of a circle.
Every number
The empty set - denoted by a circle with a diagonal through it.
Ab-ac

8. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
Even
Null
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

9. A number is divisible by 9 if...
All numbers multiples of 1.
The sum of digits is divisible by 9.
Pi is the ratio of a circle'S circumference to its diameter.
9

10. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
13
An infinite set.
$3 -500 in the 9% and $2 -500 in the 7%.

11. How many sides does a hexagon have?
Sum of digits is a multiple of 3 and the last digit is even.
F(x) + c
6
Factors are few - multiples are many.

12. What number between 70 & 75 - inclusive - has the greatest number of factors?
P= 2L + 2w
Ab+ac
72
P=4s (s=side)

13. 60 < all primes <70
A multiple of every integer
A = length x width
61 - 67
x²+2xy+y²

14. Ø is
A+c<b+c
90°
x - x(SR3) - 2x
Even

15. 2 is the only
Even prime number
Every number
x²+2xy+y²
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

16. 3/8 in percent?
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.)
7 / 1000
37.5%
Parallelogram

17. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
1
1
Diameter(Pi)

18. Slope
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
The set of output values for a function.
y2-y1/x2-x1
90

19. How do you solve proportions? a/b=c/d
Lies opposite the greater angle
72
9 & 6/7
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

20. What is the name of set with a number of elements which cannot be counted?
Negative
5 - 12 - 13
An infinite set.
83.333%

21. Define an 'expression'.
Pi is the ratio of a circle'S circumference to its diameter.
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)
Two (Ø×2=Ø)
67 - 71 - 73

22. What is the set of elements found in both A and B?
3
70
The interesection of A and B.
x(x - y + 1)

23. What are the smallest three prime numbers greater than 65?
(n-2) x 180
67 - 71 - 73
1
A = pi(r^2)

24. the measure of a straight angle
180°
Smallest positive integer
6
52

25. The objects in a set are called two names:
x^(2(4)) =x^8 = (x^4)^2
2sqrt6
Parallelogram
Members or elements

26. The Perimeter of a Square
P=4s (s=side)
Diameter(Pi)
8
A grouping of the members within a set based on a shared characteristic.

27. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
7 / 1000
5 - 12 - 13
A 30-60-90 triangle.
A-b is negative

28. What is the maximum value for the function g(x) = (-2x^2) -1?
23 - 29
A=½bh
1
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

29. Factor a^2 + 2ab + b^2
Triangles with same measure and same side lengths.
An expression with just one term (-6x - 2a^2)
zero
(a + b)^2

30. If a lamp decreases to $80 - from $100 - what is the decrease in price?
V=Lwh
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
2²
P=2(l+w)

31. When dividing exponential #s with the same base - you do this to the exponents...
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Subtract them. i.e (5^7)/(5^3)= 5^4
1:sqrt3:2
$3 -500 in the 9% and $2 -500 in the 7%.

32. Legs: 3 - 4. Hypotenuse?
Sum of digits is a multiple of 3 and the last digit is even.
5
4725
A natural number greater than 1 that has no positive divisors other than 1 and itself

33. Probability of Event all cases
16.6666%
Straight Angle
Smallest positive integer
Ø=P(E)=1

34. Vertical lines
Ab=k (k is a constant)
4096
Do not have slopes!
The set of input values for a function.

35. What are 'Supplementary angles?'
Two angles whose sum is 180.
1
x - x(SR3) - 2x
360°

36. What are the rational numbers?
Ø
A reflection about the axis.
The set of elements which can be found in either A or B.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

37. The reciprocal of any non-zero number is
1/x
1
Undefined
EVEN

38. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
7 / 1000
Triangles with same measure and same side lengths.

39. Describe the relationship between the graphs of x^2 and (1/2)x^2
1 & 37/132
The second graph is less steep.
A = length x width
26

40. Positive integers that have exactly 2 positive divisors are
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)
11 - 13 - 17 - 19
A subset.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

41. The Denominator can never
x - x+1 - x+2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
6 : 1 : 2
Be Zero!

42. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
An angle which is supplementary to an interior angle.
3x - 4x - 5x
288 (8 9 4)

43. Time
(a + b)^2
(distance)/(rate) d/r
500
x²+2xy+y²

44. If the two sides of a triangle are unequal then the longer side.................
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
(p + q)/5
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Lies opposite the greater angle

45. Volume of a cube
P(E) = 1/1 = 1
Two equal sides and two equal angles.
Edge³
X

46. Formula for the area of a circle?
70
1
83.333%
A = pi(r^2)

47. Define a 'Term' -
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)
Do not have slopes!
ODD number
Diameter(Pi)

48. If a product of two numbers is Ø - one number must be
0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Ab=k (k is a constant)
Ø

49. Circumference of a circle
Pi(diameter)
y = 2x^2 - 3
An angle which is supplementary to an interior angle.
6

50. Which is greater? 200x^295 or 10x^294?
A+c<b+c
Ab=k (k is a constant)
Relationship cannot be determined (what if x is negative?)
Ø