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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 is negative and n is even then an is (positive or negative?)
Ab-ac
The set of elements found in both A and B.
.0004809 X 10^11
An is positive

2. 0^0
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)
90pi
6
Undefined

3. Simplify the expression [(b^2 - c^2) / (b - c)]
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A chord is a line segment joining two points on a circle.
An isosceles right triangle.
(b + c)

4. Product of any number and Ø is
Ø
F(x-c)
10
Arc length = (n/360) x pi(2r) where n is the number of degrees.

5. Ø divided by 7
1
Ø
y2-y1/x2-x1
Even

6. What are the integers?
52
3x - 4x - 5x
Yes - like radicals can be added/subtracted.
All numbers multiples of 1.

7. (6sqrt3) x (2sqrt5) =
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Sum of digits is a multiple of 3 and the last digit is even.

8. 10^6 has how many zeroes?
0
6
(a - b)^2
1 - P(E)

9. Positive integers that have exactly 2 positive divisors are
Its divisible by 2 and by 3.
V=l×w×h
y = (x + 5)/2
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

10. 40 < all primes<50
5 - 12 - 13
41 - 43 - 47
130pi
The objects within a set.

11. Solve the quadratic equation ax^2 + bx + c= 0
... the square of the ratios of the corresponding sides.
C = (pi)d
4725
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

12. When multiplying exponential #s with the same base - you do this to the exponents...
(a - b)(a + b)
90°
Ø
Add them. i.e. (5^7) * (5^3) = 5^10

13. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
Ab-ac
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A=pi*(r^2)
y = (x + 5)/2

14. Simplify 9^(1/2) X 4^3 X 2^(-6)?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
x - x(SR3) - 2x
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
3

15. How to find the circumference of a circle which circumscribes a square?
48
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(a + b)^2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

16. 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))?
20.5
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)
Pi(diameter)
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.)

17. 1 is the
Ø Ø=Ø
1
Smallest positive integer
Diameter(Pi)

18. The important properties of a 45-45-90 triangle?
1:sqrt3:2
V=l×w×h
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.
Do not have slopes!

19. What is a major arc?

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20. Vertical lines
The union of A and B.
Do not have slopes!
Ø
(pi)r²

21. Area of a circle
y/x is a constant
Can be negative - zero - or positive
(pi)r²
The shortest arc between points A and B on a circle'S diameter.

22. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The shortest arc between points A and B on a circle'S diameter.
An expression with just one term (-6x - 2a^2)

23. An Angle that'S 180°
180°
Straight Angle
12! / 5!7! = 792
10! / 3!(10-3)! = 120

24. Simplify the expression (p^2 - q^2)/ -5(q - p)
D/t (distance)/(time)
(p + q)/5
The second graph is less steep.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

25. What is a minor arc?

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26. What percent of 40 is 22?
1 & 37/132
55%
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Positive

27. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
7 / 1000
31 - 37
A reflection about the origin.
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.)

28. How to recognize a multiple of 6
10! / (10-3)! = 720
Sum of digits is a multiple of 3 and the last digit is even.
37.5%
C = 2(pi)r

29. Find distance when given time and rate
72
11 - 13 - 17 - 19
20.5
D=rt so r= d/t and t=d/r

30. In a Regular Polygon - the measure of each exterior angle
360/n
The two xes after factoring.
Move the decimal point to the right x places
Ø

31. Time
12! / 5!7! = 792
Negative
(distance)/(rate) d/r
1

32. (x-y)(x+y)
P(E) = ø
x²-y²
Even
Null

33. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
A+c<b+c
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)
1

34. What are 'Supplementary angles?'
(base*height) / 2
2 & 3/7
Two angles whose sum is 180.
Yes - like radicals can be added/subtracted.

35. Area of a Parallelogram:
53 - 59
A=(base)(height)
2 & 3/7
An infinite set.

36. What is a subset?
The sum of digits is divisible by 9.
1/x
A grouping of the members within a set based on a shared characteristic.
Two angles whose sum is 180.

37. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
1
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Every number

38. Circumference of a Circle
Distance=rate×time or d=rt
10
3 - 4 - 5
C=2 x pi x r OR pi x D

39. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
180°
0
A=½bh

40. 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?
P=4s (s=side)
4a^2(b)
P= 2L + 2w
9 : 25

41. binomial product of (x-y)²
3/2 - 5/3
(x+y)(x-y)
31 - 37
Infinite.

42. Circumference of a circle
(length)(width)(height)
3
2(pi)r
53 - 59

43. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
0
360°
75:11
4:5

44. -3²
28. n = 8 - k = 2. n! / k!(n-k)!
A multiple of every integer
9
Two angles whose sum is 180.

45. What is the order of operations?
A=½bh
A set with a number of elements which can be counted.
x²-y²
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

46. Ø Is
Undefined - because we can'T divide by 0.
EVEN
4a^2(b)
V=side³

47. 1/6 in percent?
A central angle is an angle formed by 2 radii.
x - x+1 - x+2
(a - b)(a + b)
16.6666%

48. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
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.)
Can be negative - zero - or positive
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A set with no members - denoted by a circle with a diagonal through it.

49. 30 60 90
5 - 12 - 13
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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.)
12sqrt2

50. (x-y)²
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.
4096
An angle which is supplementary to an interior angle.
x²-2xy+y²