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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. The consecutive angles in a parallelogram equal
180°
A multiple of every integer
an angle that is less than 90°
Yes - like radicals can be added/subtracted.

2. (x+y)²
A= (1/2) b*h
x²+2xy+y²
Positive
(length)(width)(height)

3. If a is inversely porportional to b - what does it equal?
360/n
The greatest value minus the smallest.
Positive
Ab=k (k is a constant)

4. What is a tangent?
x²-2xy+y²
Two equal sides and two equal angles.
A tangent is a line that only touches one point on the circumference of a circle.
441000 = 1 10 10 10 21 * 21

5. What are the integers?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Subtract them. i.e (5^7)/(5^3)= 5^4
All numbers multiples of 1.
1

6. A number is divisible by 3 if ...
Straight Angle
The sum of its digits is divisible by 3.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
61 - 67

7. Probability of an Event
The overlapping sections.
P(E) = number of favorable outcomes/total number of possible outcomes
x²+2xy+y²
1

8. A prime number (or a prime)
Ø
A natural number greater than 1 that has no positive divisors other than 1 and itself
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Undefined - because we can'T divide by 0.

9. What is the slope of a vertical line?

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10. Find the surface area of a cylinder with radius 3 and height 12.
A = length x width
67 - 71 - 73
10! / (10-3)! = 720
90pi

11. 60 < all primes <70
(a + b)^2
61 - 67
72
1

12. 1 is a divisor of
(rate)(time) d=rt
Positive or Negative
Every number
1.0843 X 10^11

13. What does scientific notation mean?
360°
23 - 29
All numbers multiples of 1.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

14. What is a subset?
The set of output values for a function.
A grouping of the members within a set based on a shared characteristic.
Subtract them. i.e (5^7)/(5^3)= 5^4
(amount of decrease/original price) x 100%

15. 8.84 / 5.2
(a - b)(a + b)
F(x) - c
The second graph is less steep.
1.7

16. (2²)³
180
A-b is positive
26
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.

17. 5/6 in percent?
83.333%
Move the decimal point to the right x places
M= (Y1-Y2)/(X1-X2)
Pi(diameter)

18. Distance
The greatest value minus the smallest.
A percent is a fraction whose denominator is 100.
(rate)(time) d=rt
18

19. 3/8 in percent?
2^9 / 2 = 256
A grouping of the members within a set based on a shared characteristic.
2sqrt6
37.5%

20. Which is greater? 64^5 or 16^8
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Negative
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
(n-2) x 180

21. What is the graph of f(x) shifted right c units or spaces?
53 - 59
F(x-c)
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)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

22. 1/6 in percent?
EVEN
70
16.6666%
A=(base)(height)

23. The ratio of the areas of two similar polygons is ...
Even
... the square of the ratios of the corresponding sides.
26
Two angles whose sum is 180.

24. How to recognize a # as a multiple of 3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
12! / 5!7! = 792
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
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)

25. How to find the circumference of a circle which circumscribes a square?
10
Edge³
130pi
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

26. What is the maximum value for the function g(x) = (-2x^2) -1?
83.333%
1
A= (1/2) b*h
(a - b)(a + b)

27. 5/8 in percent?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Right
62.5%
B?b?b (where b is used as a factor n times)

28. 1n
1/a^6
1
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)
x²-2xy+y²

29. If a<b - then
A+c<b+c
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Factors are few - multiples are many.
A set with a number of elements which can be counted.

30. Evaluate 4/11 + 11/12
1 & 37/132
Move the decimal point to the right x places
61 - 67
1

31. For any number x
The empty set - denoted by a circle with a diagonal through it.
Can be negative - zero - or positive
Move the decimal point to the right x places
37.5%

32. Ø is
A chord is a line segment joining two points on a circle.
The shortest arc between points A and B on a circle'S diameter.
A multiple of every integer
11 - 13 - 17 - 19

33. bn
Arc length = (n/360) x pi(2r) where n is the number of degrees.
180
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
B?b?b (where b is used as a factor n times)

34. If a is negative and n is even then an is (positive or negative?)
1 & 37/132
A = length x width
An is positive
72

35. Which is greater? 200x^295 or 10x^294?
1 - P(E)
10! / 3!(10-3)! = 120
The set of output values for a function.
Relationship cannot be determined (what if x is negative?)

36. binomial product of (x+y)(x-y)
N! / (n-k)!
360°
x²-y²
The point of intersection of the systems.

37. Dividing by a number is the same as multiplying it by its
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A<-b
Reciprocal
B?b?b (where b is used as a factor n times)

38. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
23 - 29
Two equal sides and two equal angles.
All numbers multiples of 1.
N! / (n-k)!

39. When dividing exponential #s with the same base - you do this to the exponents...
3 - -3
Subtract them. i.e (5^7)/(5^3)= 5^4
4.25 - 6 - 22
Even

40. 1/8 in percent?
The set of elements which can be found in either A or B.
= (actual decrease/Original amount) x 100%
8
12.5%

41. Pi is a ratio of what to what?

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42. Product of any number and Ø is
Positive or Negative
The greatest value minus the smallest.
Ø
x²-2xy+y²

43. Slope
Even
y2-y1/x2-x1
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
4.25 - 6 - 22

44. Formula for the area of a circle?
A percent is a fraction whose denominator is 100.
A = pi(r^2)
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)
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...

45. Circumference of a circle
P=2(l+w)
x²+2xy+y²
2(pi)r
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

46. X is the opposite of
Negative
X
Ø
An angle which is supplementary to an interior angle.

47. 7 divided by Ø
Undefined
All numbers multiples of 1.
Null
Ø

48. What are 'Supplementary angles?'
Pi(diameter)
A reflection about the axis.
Two angles whose sum is 180.
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)

49. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Even prime number

50. 25/2³
2²
(a - b)(a + b)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A percent is a fraction whose denominator is 100.