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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. An Angle that'S 180°
(x+y)(x+y)
Pi is the ratio of a circle'S circumference to its diameter.
Null
Straight Angle

2. Simplify the expression [(b^2 - c^2) / (b - c)]
Positive
2^9 / 2 = 256
(b + c)
55%

3. Dividing by a number is the same as multiplying it by its
Reciprocal
9 : 25
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Sector area = (n/360) X (pi)r^2

4. 40 < all primes<50
Diameter(Pi)
41 - 43 - 47
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.)
A=(base)(height)

5. Time
(distance)/(rate) d/r
Undefined - because we can'T divide by 0.
(p + q)/5
The set of elements found in both A and B.

6. If an inequality is multiplied or divided by a negative number....
180°
2.592 kg
Ab=k (k is a constant)
The direction of the inequality is reversed.

7. Acute Angle
441000 = 1 10 10 10 21 * 21
The shortest arc between points A and B on a circle'S diameter.
2²
an angle that is less than 90°

8. The negative exponent x?n is equivalent to what?
1/a^6
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
360°
Undefined

9. If Event is impossible
P(E) = ø
(length)(width)(height)
1
288 (8 9 4)

10. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
(amount of decrease/original price) x 100%
P=4s (s=side)
The sum of digits is divisible by 9.

11. Rate
Parallelogram
D/t (distance)/(time)
Two angles whose sum is 180.
180 degrees

12. 30 60 90
90pi
Can be negative - zero - or positive
Two equal sides and two equal angles.
5 - 12 - 13

13. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
1:sqrt3:2
C=2 x pi x r OR pi x D
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)

14. In a Rectangle - each angles measures
$3 -500 in the 9% and $2 -500 in the 7%.
A = length x width
Factors are few - multiples are many.
90°

15. binomial product of (x-y)²
9
(x+y)(x-y)
3/2 - 5/3
2 & 3/7

16. What is the 'Solution' for a system of linear equations?
angle that is greater than 90° but less than 180°
The point of intersection of the systems.
52
72

17. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
x(x - y + 1)
(a + b)^2
P=2(l+w)

18. bn
Straight Angle
B?b?b (where b is used as a factor n times)
90
360°

19. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
The direction of the inequality is reversed.
2sqrt6
1/x
Lies opposite the greater angle

20. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
(a - b)^2
10! / 3!(10-3)! = 120
9

21. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
3
2 & 3/7
Ab+ac
The objects within a set.

22. 4.809 X 10^7 =
.0004809 X 10^11
A subset.
The set of output values for a function.
90

23. 10^6 has how many zeroes?
3
6
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The interesection of A and B.

24. The reciprocal of any non-zero #x is
360°
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1/x
F(x) - c

25. What is the slope of a vertical line?

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26. 6w^2 - w - 15 = 0
C=2 x pi x r OR pi x D
$3 -500 in the 9% and $2 -500 in the 7%.
3/2 - 5/3
P(E) = 1/1 = 1

27. Area of a triangle?
3x - 4x - 5x
0
(base*height) / 2
71 - 73 - 79

28. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
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.
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...
(rate)(time) d=rt
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

29. 1/Ø=null If a>b then
4725
A<-b
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Every number

30. A number is divisible by 3 if ...
Diameter(Pi)
72
V=Lwh
The sum of its digits is divisible by 3.

31. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
N! / (n-k)!
The direction of the inequality is reversed.
180°
A reflection about the origin.

32. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
A=½bh
70
Ab-ac
1/x

33. What is the ratio of the sides of a 30-60-90 triangle?
A=½bh
EVEN
(a + b)^2
1:sqrt3:2

34. The important properties of a 45-45-90 triangle?
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.)
The set of output values for a function.
An infinite set.
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.

35. binomial product of (x+y)²
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Be Zero!
(x+y)(x+y)
2sqrt6

36. 5x^2 - 35x -55 = 0
2.592 kg
13pi / 2
1/a^6
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

37. Volume of a rectangular box
67 - 71 - 73
V=Lwh
The empty set - denoted by a circle with a diagonal through it.
1

38. formula for distance problems
3/2 - 5/3
16.6666%
Distance=rate×time or d=rt
41 - 43 - 47

39. Can you simplify sqrt72?
True
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Infinite.
500

40. Area of a circle
Every number
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=pi*(r^2)
4.25 - 6 - 22

41. 30 60 90
Its divisible by 2 and by 3.
360°
x - x(SR3) - 2x
A=½bh

42. What is an arc of a circle?
1
y = 2x^2 - 3
1/2 times 7/3
An arc is a portion of a circumference of a circle.

43. How to recognize if a # is a multiple of 12
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.)
Ab-ac
(p + q)/5
Undefined - because we can'T divide by 0.

44. 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?
(n-2) x 180
10! / 3!(10-3)! = 120
16.6666%
M

45. 3 is the opposite of
angle that is greater than 90° but less than 180°
3 - -3
3
Sum of digits is a multiple of 3 and the last digit is even.

46. a^2 - b^2 =
P(E) = number of favorable outcomes/total number of possible outcomes
(a - b)(a + b)
$11 -448
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...

47. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
The empty set - denoted by a circle with a diagonal through it.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Two (Ø×2=Ø)

48. How to find the circumference of a circle which circumscribes a square?
Ø
A = pi(r^2)
... the square of the ratios of the corresponding sides.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

49. A number is divisible by 6 if...
Its divisible by 2 and by 3.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
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...
Undefined

50. Ø divided by 7
1.7
A natural number greater than 1 that has no positive divisors other than 1 and itself
180
Ø