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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. x^6 / x^3
2
C = 2(pi)r
x^(6-3) = x^3
Its last two digits are divisible by 4.

2. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
Its divisible by 2 and by 3.
N! / (k!)(n-k)!
Indeterminable.

3. What is the order of operations?
A reflection about the origin.
The set of elements which can be found in either A or B.
Lies opposite the greater angle
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

4. How many multiples does a given number have?
Infinite.
Positive or Negative
13
A reflection about the origin.

5. What is the set of elements which can be found in either A or B?
3/2 - 5/3
A multiple of every integer
The union of A and B.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

6. Perimeter of a rectangle
P= 2L + 2w
Even
The set of output values for a function.
3x - 4x - 5x

7. Evaluate 4/11 + 11/12
41 - 43 - 47
1:1:sqrt2
A 30-60-90 triangle.
1 & 37/132

8. Area of a circle
360°
A=pi*(r^2)
an angle that is less than 90°
Positive

9. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
A percent is a fraction whose denominator is 100.
28. n = 8 - k = 2. n! / k!(n-k)!
37.5%
1

10. A number is divisible by 4 is...
True
Its last two digits are divisible by 4.
Indeterminable.
Two (Ø×2=Ø)

11. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
7 / 1000
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
V=l×w×h

12. Circumference of a Circle
Ø=P(E)=1
Ab-ac
C=2 x pi x r OR pi x D
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

13. a<b then a - b is positive or negative?
zero
41 - 43 - 47
True
A-b is negative

14. The percent decrease of a quantity
Positive
1 & 37/132
12.5%
= (actual decrease/Original amount) x 100%

15. What is a set with no members called?
(n-2) x 180
12! / 5!7! = 792
The empty set - denoted by a circle with a diagonal through it.
P(E) = 1/1 = 1

16. Whats the difference between factors and multiples?
Undefined
(pi)r²
Factors are few - multiples are many.
Cd

17. (x+y)²
4a^2(b)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
P=2(l+w)
x²+2xy+y²

18. Important properties of a 30-60-90 triangle?
A-b is positive
(a + b)^2
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
Ø

19. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
1 - P(E)
9 : 25
48
F(x-c)

20. Acute Angle
Can be negative - zero - or positive
360°
Its divisible by 2 and by 3.
an angle that is less than 90°

21. Reduce: 4.8 : 0.8 : 1.6
4:5
0
6 : 1 : 2
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)

22. Slope given 2 points
The set of input values for a function.
x - x(SR3) - 2x
M= (Y1-Y2)/(X1-X2)
(length)(width)(height)

23. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
(rate)(time) d=rt
18
180
A 30-60-90 triangle.

24. What is the graph of f(x) shifted upward c units or spaces?
B?b?b (where b is used as a factor n times)
F(x) + c
y2-y1/x2-x1
x^(2(4)) =x^8 = (x^4)^2

25. (6sqrt3) x (2sqrt5) =
6
27^(-4)
True
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

26. 20<all primes<30
The shortest arc between points A and B on a circle'S diameter.
Two equal sides and two equal angles.
Positive
23 - 29

27. Evaluate 3& 2/7 / 1/3
A reflection about the axis.
An arc is a portion of a circumference of a circle.
Ø
9 & 6/7

28. How do you solve proportions? a/b=c/d
N! / (n-k)!
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
55%
A = pi(r^2)

29. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
500
A set with a number of elements which can be counted.
An is positive
F(x) - c

30. Probability of Event all cases
0
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+ sqrt93) /2] - [(7 - sqrt93) / 2]
Ø=P(E)=1

31. factored binomial product of (x-y)²
x²-2xy+y²
A set with no members - denoted by a circle with a diagonal through it.
53 - 59
1 & 37/132

32. How to recognize a # as a multiple of 9
288 (8 9 4)
3 - 4 - 5
Pi is the ratio of a circle'S circumference to its diameter.
The sum of the digits is a multiple of 9.

33. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
Its last two digits are divisible by 4.
An arc is a portion of a circumference of a circle.
All numbers multiples of 1.

34. What percent of 40 is 22?
3x - 4x - 5x
55%
P=2(l+w)
The sum of its digits is divisible by 3.

35. 4.809 X 10^7 =
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
180
.0004809 X 10^11
6

36. What is the set of elements found in both A and B?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The interesection of A and B.
F(x + c)
1:sqrt3:2

37. Write 10 -843 X 10^7 in scientific notation
31 - 37
M
1.0843 X 10^11
87.5%

38. a^2 + 2ab + b^2
Reciprocal
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(a + b)^2
F(x) + c

39. What is a percent?
(a - b)(a + b)
A percent is a fraction whose denominator is 100.
Ø=P(E)=1
1

40. Simplify 9^(1/2) X 4^3 X 2^(-6)?
180°
Edge³
180
3

41. Area of a Parallelogram:
A=(base)(height)
Its divisible by 2 and by 3.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
10

42. Dividing by a number is the same as multiplying it by its
y = (x + 5)/2
Ø=P(E)=1
1
Reciprocal

43. Legs: 3 - 4. Hypotenuse?
87.5%
5
27
1

44. Area of a rectangle
A = length x width
True
V=side³
180 degrees

45. If an inequality is multiplied or divided by a negative number....
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
x²+2xy+y²
The direction of the inequality is reversed.
x^(2(4)) =x^8 = (x^4)^2

46. Volume of a rectangular box
Reciprocal
V=Lwh
Ab=k (k is a constant)
2²

47. In a Regular Polygon - the measure of each exterior angle
1
(b + c)
360/n
Ø

48. 30 60 90
180
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
70
x - x(SR3) - 2x

49. What is the side length of an equilateral triangle with altitude 6?
The shortest arc between points A and B on a circle'S diameter.
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 - because we can'T divide by 0.
angle that is greater than 90° but less than 180°

50. When dividing exponential #s with the same base - you do this to the exponents...
(base*height) / 2
V=side³
Subtract them. i.e (5^7)/(5^3)= 5^4
ODD number