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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. What is a chord of a circle?
A grouping of the members within a set based on a shared characteristic.
10
A chord is a line segment joining two points on a circle.
2

2. The reciprocal of any non-zero #x is
x²+2xy+y²
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1/x
x²+2xy+y²

3. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(x+y)(x+y)
1/x
$11 -448

4. First 10 prime #s
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
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
6 : 1 : 2
V=l×w×h

5. Slope given 2 points
83.333%
= (actual decrease/Original amount) x 100%
M= (Y1-Y2)/(X1-X2)
75:11

6. 1 is an
y2-y1/x2-x1
ODD number
(n-2) x 180
72

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?
$3 -500 in the 9% and $2 -500 in the 7%.
C=2 x pi x r OR pi x D
x²-y²
F(x + c)

8. 1/8 in percent?
27^(-4)
F(x) + c
Parallelogram
12.5%

9. The Perimeter of a rectangle
P=2(l+w)
The interesection of A and B.
Its last two digits are divisible by 4.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

10. If Event is impossible
130pi
P(E) = ø
(p + q)/5
P(E) = number of favorable outcomes/total number of possible outcomes

11. Formula to find a circle'S circumference from its diameter?
The union of A and B.
1
C = (pi)d
Two angles whose sum is 180.

12. An Angle that'S 180°
48
Straight Angle
The sum of digits is divisible by 9.
Positive or Negative

13. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
An isosceles right triangle.
1.0843 X 10^11
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

14. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Ab=k (k is a constant)
288 (8 9 4)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
4:5

15. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
90
4725
A=(base)(height)
A 30-60-90 triangle.

16. If y is directly proportional to x - what does it equal?
y/x is a constant
360/n
9 : 25
Two (Ø×2=Ø)

17. 0^0
Undefined
(length)(width)(height)
(amount of decrease/original price) x 100%
62.5%

18. For any number x
53 - 59
The second graph is less steep.
Can be negative - zero - or positive
Positive

19. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1
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.)
180

20. Circumference of a circle?
1/2 times 7/3
(rate)(time) d=rt
Diameter(Pi)
(n-2) x 180

21. What is the graph of f(x) shifted downward c units or spaces?
70
F(x) - c
0
2sqrt6

22. How to recognize a multiple of 6
87.5%
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)
Sum of digits is a multiple of 3 and the last digit is even.
A chord is a line segment joining two points on a circle.

23. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
72
(distance)/(rate) d/r
All numbers multiples of 1.

24. Probability of an Event
67 - 71 - 73
P(E) = number of favorable outcomes/total number of possible outcomes
2 & 3/7
9 & 6/7

25. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
53 - 59
10! / (10-3)! = 720
3

26. If a product of two numbers is Ø - one number must be
71 - 73 - 79
Ø
27^(-4)
The steeper the slope.

27. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2^9 / 2 = 256
P(E) = number of favorable outcomes/total number of possible outcomes
A=½bh

28. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
Ø Ø=Ø
Null
The interesection of A and B.

29. (12sqrt15) / (2sqrt5) =
V=l×w×h
41 - 43 - 47
The point of intersection of the systems.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

30. Simplify the expression [(b^2 - c^2) / (b - c)]
18
(b + c)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
y = 2x^2 - 3

31. Convert 0.7% to a fraction.
y2-y1/x2-x1
52
7 / 1000
B?b?b (where b is used as a factor n times)

32. A number is divisible by 3 if ...
18
Positive
The sum of its digits is divisible by 3.
8

33. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Ø
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Two equal sides and two equal angles.
1

34. factored binomial product of (x-y)²
13pi / 2
2
x²-2xy+y²
x²+2xy+y²

35. What is the empty set?
41 - 43 - 47
N! / (n-k)!
A set with no members - denoted by a circle with a diagonal through it.
A=½bh

36. (x-y)²
2 & 3/7
Even prime number
x²-2xy+y²
P(E) = 1/1 = 1

37. 25/2³
2²
12.5%
Null
55%

38. Area of a Parallelogram:
48
1
A=(base)(height)
23 - 29

39. Simplify the expression (p^2 - q^2)/ -5(q - p)
4:5
(p + q)/5
360/n
An isosceles right triangle.

40. 10^6 has how many zeroes?
The direction of the inequality is reversed.
6
Negative
A reflection about the origin.

41. Find the surface area of a cylinder with radius 3 and height 12.
90pi
(n-2) x 180
500
X

42. The reciprocal of any non-zero number is
180
x²+2xy+y²
1/x
Ø Ø=Ø

43. What is the measure of an exterior angle of a regular pentagon?
Its divisible by 2 and by 3.
10! / 3!(10-3)! = 120
72
A central angle is an angle formed by 2 radii.

44. 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?
10! / (10-3)! = 720
X
Pi is the ratio of a circle'S circumference to its diameter.
83.333%

45. In a rectangle - all angles are
A reflection about the origin.
(n-2) x 180
... the square of the ratios of the corresponding sides.
Right

46. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Null
P=4s (s=side)
y = 2x^2 - 3

47. What percent of 40 is 22?
3 - -3
x²-y²
F(x + c)
55%

48. If a lamp increases from $80 to $100 - what is the percent increase?
Every number
Null
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
16.6666%

49. Evaluate 3& 2/7 / 1/3
x(x - y + 1)
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.)
9 & 6/7
(a + b)^2

50. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
70
0
Even