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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 decreases to $80 - from $100 - what is the decrease in price?
3 - -3
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
2sqrt6
.0004809 X 10^11

2. What are complementary angles?
P(E) = 1/1 = 1
180°
Two angles whose sum is 90.
12.5%

3. 30 60 90
1
1/a^6
x - x(SR3) - 2x
Negative

4. a^2 - b^2
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
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)
(a - b)(a + b)
13

5. x^6 / x^3
M= (Y1-Y2)/(X1-X2)
x^(6-3) = x^3
180
The greatest value minus the smallest.

6. x^4 + x^7 =
The steeper the slope.
x^(4+7) = x^11
31 - 37
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

7. 5/6 in percent?
B?b?b (where b is used as a factor n times)
2²
V=l×w×h
83.333%

8. What is the 'Solution' for a system of linear equations?
(amount of decrease/original price) x 100%
1
The point of intersection of the systems.
31 - 37

9. (x^2)^4
y = 2x^2 - 3
62.5%
Even
x^(2(4)) =x^8 = (x^4)^2

10. x^2 = 9. What is the value of x?
Its last two digits are divisible by 4.
3 - -3
1
(b + c)

11. The reciprocal of any non-zero number is
A tangent is a line that only touches one point on the circumference of a circle.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
70
1/x

12. Define an 'expression'.
180 degrees
90
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)
(distance)/(rate) d/r

13. 7/8 in percent?
5 OR -5
75:11
87.5%
360/n

14. 20<all primes<30
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
23 - 29
(distance)/(rate) d/r
Every number

15. What is the name for a grouping of the members within a set based on a shared characteristic?
y2-y1/x2-x1
A subset.
83.333%
A chord is a line segment joining two points on a circle.

16. What is the graph of f(x) shifted right c units or spaces?
A²+b²=c²
F(x-c)
2.592 kg
An infinite set.

17. Ø is
The interesection of A and B.
A multiple of every integer
The steeper the slope.
3

18. (x-y)(x+y)
P=2(l+w)
The two xes after factoring.
x²-y²
4a^2(b)

19. Legs 6 - 8. Hypotenuse?
Relationship cannot be determined (what if x is negative?)
A=½bh
10
360/n

20. Ø is a multiple of
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Two (Ø×2=Ø)
y = (x + 5)/2
No - only like radicals can be added.

21. 8.84 / 5.2
All numbers multiples of 1.
C=2 x pi x r OR pi x D
1.7
18

22. How many multiples does a given number have?
180
130pi
Ø
Infinite.

23. 1n
No - only like radicals can be added.
(x+y)(x+y)
1
441000 = 1 10 10 10 21 * 21

24. 5/8 in percent?
62.5%
x^(2(4)) =x^8 = (x^4)^2
A set with no members - denoted by a circle with a diagonal through it.
(a - b)(a + b)

25. Ø is a multiple of
2 & 3/7
3 - 4 - 5
Right
Every number

26. What is a tangent?
The union of A and B.
A tangent is a line that only touches one point on the circumference of a circle.
The empty set - denoted by a circle with a diagonal through it.
2 & 3/7

27. 25^(1/2) or sqrt. 25 =
A multiple of every integer
5 OR -5
87.5%
Ø

28. 2³×7³
ODD number
7 / 1000
(2x7)³
M= (Y1-Y2)/(X1-X2)

29. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
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)
48
Can be negative - zero - or positive

30. Area of a rectangle
180
13
10! / 3!(10-3)! = 120
A = length x width

31. What is the 'Range' of a series of numbers?
P=4s (s=side)
x^(2(4)) =x^8 = (x^4)^2
The greatest value minus the smallest.
The set of elements found in both A and B.

32. Any Horizontal line slope
Positive or Negative
A 30-60-90 triangle.
1.0843 X 10^11
zero

33. What are 'Supplementary angles?'
Two angles whose sum is 180.
A²+b²=c²
(n-2) x 180
Positive

34. X is the opposite of
Diameter(Pi)
Pi(diameter)
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.)
X

35. Circumference of a circle
1
Pi(diameter)
4:5
x - x+1 - x+2

36. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
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 isosceles right triangle.
441000 = 1 10 10 10 21 * 21
A=½bh

37. Define a 'monomial'
87.5%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
An expression with just one term (-6x - 2a^2)
Distance=rate×time or d=rt

38. Simplify (a^2 + b)^2 - (a^2 - b)^2
1
288 (8 9 4)
180
4a^2(b)

39. What is the graph of f(x) shifted left c units or spaces?
1
F(x + c)
All numbers multiples of 1.
A=(base)(height)

40. Probability of Event all cases
A central angle is an angle formed by 2 radii.
Move the decimal point to the right x places
Ø=P(E)=1
An arc is a portion of a circumference of a circle.

41. The Denominator can never
No - only like radicals can be added.
A tangent is a line that only touches one point on the circumference of a circle.
Be Zero!
55%

42. 60 < all primes <70
10! / 3!(10-3)! = 120
61 - 67
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Positive

43. 3/8 in percent?
The longest arc between points A and B on a circle'S diameter.
F(x) + c
x²-2xy+y²
37.5%

44. Find the surface area of a cylinder with radius 3 and height 12.
An infinite set.
3x - 4x - 5x
D/t (distance)/(time)
90pi

45. 1/8 in percent?
Every number
The point of intersection of the systems.
(p + q)/5
12.5%

46. Factor a^2 + 2ab + b^2
(a + b)^2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Be Zero!
Negative

47. What is a subset?
130pi
A grouping of the members within a set based on a shared characteristic.
The longest arc between points A and B on a circle'S diameter.
Even

48. 10^6 has how many zeroes?
11 - 13 - 17 - 19
A chord is a line segment joining two points on a circle.
72
6

49. Ø Is neither
1:1:sqrt2
(base*height) / 2
The empty set - denoted by a circle with a diagonal through it.
Positive or Negative

50. Evaluate 4/11 + 11/12
0
$3 -500 in the 9% and $2 -500 in the 7%.
12! / 5!7! = 792
1 & 37/132