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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 minor arc?

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2. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
23 - 29
B?b?b (where b is used as a factor n times)
The interesection of A and B.

3. formula for volume of a rectangular solid
3
The sum of digits is divisible by 9.
Members or elements
V=l×w×h

4. 8.84 / 5.2
441000 = 1 10 10 10 21 * 21
C=2 x pi x r OR pi x D
1.7
A chord is a line segment joining two points on a circle.

5. 0^0
Undefined
2.592 kg
P(E) = number of favorable outcomes/total number of possible outcomes
180 degrees

6. Number of degrees in a triangle
Its divisible by 2 and by 3.
12sqrt2
180
A grouping of the members within a set based on a shared characteristic.

7. If y is directly proportional to x - what does it equal?
90°
A=(base)(height)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
y/x is a constant

8. What is the 'Solution' for a system of linear equations?
Relationship cannot be determined (what if x is negative?)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
The point of intersection of the systems.

9. What is the ratio of the sides of a 30-60-90 triangle?
C = (pi)d
1:sqrt3:2
A²+b²=c²
Its divisible by 2 and by 3.

10. How to recognize a # as a multiple of 4
3
Ab-ac
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.)
Lies opposite the greater angle

11. What is the maximum value for the function g(x) = (-2x^2) -1?
1
(p + q)/5
4a^2(b)
The empty set - denoted by a circle with a diagonal through it.

12. Formula to find a circle'S circumference from its radius?
A-b is negative
Can be negative - zero - or positive
C = 2(pi)r
3 - 4 - 5

13. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
All numbers multiples of 1.
A percent is a fraction whose denominator is 100.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

14. 3/8 in percent?
Triangles with same measure and same side lengths.
Relationship cannot be determined (what if x is negative?)
37.5%
70

15. The Perimeter of a rectangle
B?b?b (where b is used as a factor n times)
P=2(l+w)
180°
The second graph is less steep.

16. Area of a triangle
A reflection about the origin.
A= (1/2) b*h
(a - b)^2
A chord is a line segment joining two points on a circle.

17. Which is greater? 27^(-4) or 9^(-8)
360°
(pi)r²
27^(-4)
13

18. Define an 'expression'.
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)
An angle which is supplementary to an interior angle.
Two angles whose sum is 90.
Positive

19. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
Ø Ø=Ø
Ø
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
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)

20. The perimeter of a square is 48 inches. The length of its diagonal is:
P=4s (s=side)
P(E) = number of favorable outcomes/total number of possible outcomes
Undefined
12sqrt2

21. formula for distance problems
11 - 13 - 17 - 19
Distance=rate×time or d=rt
(rate)(time) d=rt
B?b?b (where b is used as a factor n times)

22. What is the 'Range' of a function?
500
The set of output values for a function.
26
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.

23. Whats the difference between factors and multiples?
Can be negative - zero - or positive
Edge³
= (actual decrease/Original amount) x 100%
Factors are few - multiples are many.

24. Ø is a multiple of
Smallest positive integer
Right
Two (Ø×2=Ø)
C = 2(pi)r

25. 1 is the
F(x-c)
Smallest positive integer
The overlapping sections.
True

26. Which is greater? 200x^295 or 10x^294?
(a - b)(a + b)
Relationship cannot be determined (what if x is negative?)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A set with no members - denoted by a circle with a diagonal through it.

27. Convert 0.7% to a fraction.
Pi is the ratio of a circle'S circumference to its diameter.
7 / 1000
The sum of the digits is a multiple of 9.
11 - 13 - 17 - 19

28. Slope of any line that goes up from left to right
Positive
1/a^6
Members or elements
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

29. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
9 & 6/7
A grouping of the members within a set based on a shared characteristic.
Straight Angle

30. 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
(pi)r²
x²-2xy+y²
An angle which is supplementary to an interior angle.

31. 4.809 X 10^7 =
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Ab+ac
Be Zero!
.0004809 X 10^11

32. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
y = 2x^2 - 3
70
The set of output values for a function.
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.

33. Simplify the expression (p^2 - q^2)/ -5(q - p)
= (actual decrease/Original amount) x 100%
1/x
True
(p + q)/5

34. What are the real numbers?
4.25 - 6 - 22
A percent is a fraction whose denominator is 100.
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)
C = (pi)d

35. What is the measure of an exterior angle of a regular pentagon?
72
(length)(width)(height)
Positive
27^(-4)

36. a^0 =
4725
Every number
4096
1

37. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Two angles whose sum is 180.
P(E) = ø
Cd
130pi

38. 30 60 90
31 - 37
y = (x + 5)/2
3x - 4x - 5x
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

39. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
Positive or Negative
Distance=rate×time or d=rt
12sqrt2
20.5

40. factored binomial product of (x-y)²
Null
Be Zero!
5
x²-2xy+y²

41. A prime number (or a prime)
A natural number greater than 1 that has no positive divisors other than 1 and itself
Smallest positive integer
180
3x - 4x - 5x

42. A number is divisible by 9 if...
The sum of digits is divisible by 9.
An angle which is supplementary to an interior angle.
X
x²-y²

43. The sum of all angles around a point
5 - 12 - 13
360°
500
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)

44. Reduce: 4.8 : 0.8 : 1.6
Ø
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...
1/2 times 7/3
6 : 1 : 2

45. a<b then a - b is positive or negative?
Positive
A-b is negative
(a - b)^2
An isosceles right triangle.

46. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
5 - 12 - 13
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A 30-60-90 triangle.

47. 1/6 in percent?
.0004809 X 10^11
16.6666%
20.5
Every number

48. The reciprocal of any non-zero #x is
A 30-60-90 triangle.
1/x
Edge³
Two angles whose sum is 180.

49. If Event is impossible
P(E) = ø
A subset.
... the square of the ratios of the corresponding sides.
52

50. Probability of Event all cases
P(E) = number of favorable outcomes/total number of possible outcomes
Ø=P(E)=1
3/2 - 5/3
an angle that is less than 90°