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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. 1 is the
1.7
A-b is negative
Smallest positive integer
NOT A PRIME

2. formula for the volume of a cube
Every number
(rate)(time) d=rt
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
V=side³

3. Define a 'monomial'
1 - P(E)
An expression with just one term (-6x - 2a^2)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
26

4. 1/Ø=null If a>b then
7 / 1000
A<-b
0
1

5. Circumference of a circle?
(length)(width)(height)
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)
Diameter(Pi)
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)

6. formula for area of a triangle
A=½bh
All numbers multiples of 1.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
2sqrt6

7. Ø divided by 7
X
Ø
(a + b)^2
An arc is a portion of a circumference of a circle.

8. In a rectangle - all angles are
A²+b²=c²
Right
M
180°

9. How do you solve proportions? a/b=c/d
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
4096
(amount of decrease/original price) x 100%
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)

10. Simplify the expression (p^2 - q^2)/ -5(q - p)
8
x(x - y + 1)
(p + q)/5
3

11. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
28. n = 8 - k = 2. n! / k!(n-k)!
x²+2xy+y²
(base*height) / 2

12. x^4 + x^7 =
9
F(x-c)
x^(4+7) = x^11
4725

13. a/Ø
The sum of the digits is a multiple of 9.
Null
Diameter(Pi)
Two equal sides and two equal angles.

14. Slope
V=side³
y/x is a constant
180°
y2-y1/x2-x1

15. Volume of a rectangular box
3/2 - 5/3
C = 2(pi)r
The shortest arc between points A and B on a circle'S diameter.
V=Lwh

16. Probability of Event all cases
F(x) - c
Positive
52
Ø=P(E)=1

17. What are the integers?
6
A multiple of every integer
All numbers multiples of 1.
3

18. What is a chord of a circle?
360°
A chord is a line segment joining two points on a circle.
1
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

19. Legs 6 - 8. Hypotenuse?
A reflection about the origin.
True
10
A subset.

20. The sum of the angles in a quadrilateral is
D=rt so r= d/t and t=d/r
(distance)/(rate) d/r
Two equal sides and two equal angles.
360°

21. Circumference of a circle
an angle that is less than 90°
Pi(diameter)
87.5%
Sum of digits is a multiple of 3 and the last digit is even.

22. What are 'Supplementary angles?'
The set of elements found in both A and B.
6
Two angles whose sum is 180.
4096

23. a<b then a - b is positive or negative?
(a + b)^2
20.5
A-b is negative
2(pi)r

24. (a^-1)/a^5
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.
1/a^6
Yes - like radicals can be added/subtracted.
(pi)r²

25. Area of a circle
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.
x²+2xy+y²
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A=pi*(r^2)

26. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
90pi
180 degrees
A percent is a fraction whose denominator is 100.

27. Which is greater? 27^(-4) or 9^(-8)
(a + b)^2
All numbers multiples of 1.
3x - 4x - 5x
27^(-4)

28. What is an arc of a circle?
360°
y/x is a constant
An arc is a portion of a circumference of a circle.
Subtract them. i.e (5^7)/(5^3)= 5^4

29. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
x²-y²
Indeterminable.
2 & 3/7

30. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
M= (Y1-Y2)/(X1-X2)
5
9 & 6/7

31. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
500
C = 2(pi)r
2²
1

32. What is the 'Solution' for a set of inequalities.
zero
The overlapping sections.
The set of elements which can be found in either A or B.
180

33. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Ab-ac
an angle that is less than 90°
4a^2(b)

34. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
13pi / 2
(p + q)/5
Ab+ac

35. Pythagorean theorem
4096
(rate)(time) d=rt
A²+b²=c²
(x+y)(x+y)

36. What number between 70 & 75 - inclusive - has the greatest number of factors?
13pi / 2
72
37.5%
x²-2xy+y²

37. What are the real numbers?
(x+y)(x-y)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
87.5%
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)

38. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
(a - b)(a + b)
The longest arc between points A and B on a circle'S diameter.
x^(6-3) = x^3
441000 = 1 10 10 10 21 * 21

39. Find the surface area of a cylinder with radius 3 and height 12.
A natural number greater than 1 that has no positive divisors other than 1 and itself
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Factors are few - multiples are many.
90pi

40. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
12sqrt2
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.
The empty set - denoted by a circle with a diagonal through it.
Factors are few - multiples are many.

41. What are the smallest three prime numbers greater than 65?
The objects within a set.
Even
2(pi)r
67 - 71 - 73

42. A prime number (or a prime)
ODD number
5 - 12 - 13
A natural number greater than 1 that has no positive divisors other than 1 and itself
10

43. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
7 / 1000
8
True
71 - 73 - 79

44. To multiply a number by 10^x
Be Zero!
Add them. i.e. (5^7) * (5^3) = 5^10
Move the decimal point to the right x places
23 - 29

45. What are the rational numbers?
A²+b²=c²
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
angle that is greater than 90° but less than 180°

46. Perfect Squares 1-15
4:5
4a^2(b)
Ø
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

47. If a<b - then
An isosceles right triangle.
A+c<b+c
Undefined - because we can'T divide by 0.
The direction of the inequality is reversed.

48. Which is greater? 200x^295 or 10x^294?
y/x is a constant
Relationship cannot be determined (what if x is negative?)
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.)
An is positive

49. For any number x
1 - P(E)
Ø
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Can be negative - zero - or positive

50. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
an angle that is less than 90°
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
55%