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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. formula for area of a triangle
A=½bh
NOT A PRIME
C = (pi)d
6 : 1 : 2

2. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
The direction of the inequality is reversed.
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)
Reciprocal

3. 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
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Undefined - because we can'T divide by 0.
13pi / 2
18

4. 10<all primes<20
0
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
11 - 13 - 17 - 19
x²-2xy+y²

5. 1 is a divisor of
The greatest value minus the smallest.
(a + b)^2
Every number
y2-y1/x2-x1

6. Area of a circle
Positive
(pi)r²
zero
Negative

7. What is a finite set?
A set with a number of elements which can be counted.
1/2 times 7/3
x²+2xy+y²
Undefined

8. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
27^(-4)
90
P(E) = 1/1 = 1

9. How to recognize a multiple of 6
An infinite set.
A percent is a fraction whose denominator is 100.
Sum of digits is a multiple of 3 and the last digit is even.
$11 -448

10. a>b then a - b is positive or negative?
A-b is positive
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Ab+ac
1

11. Formula to calculate arc length?
360/n
A percent is a fraction whose denominator is 100.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

12. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
zero
Add them. i.e. (5^7) * (5^3) = 5^10
A 30-60-90 triangle.
B?b?b (where b is used as a factor n times)

13. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
(a - b)(a + b)
Even prime number
A multiple of every integer
75:11

14. 1 is an
The sum of its digits is divisible by 3.
16.6666%
Diameter(Pi)
ODD number

15. (x-y)(x+y)
(n-2) x 180
x²-y²
an angle that is less than 90°
P= 2L + 2w

16. An Angle that'S 180°
Relationship cannot be determined (what if x is negative?)
The union of A and B.
Straight Angle
5

17. 20<all primes<30
y = 2x^2 - 3
23 - 29
y2-y1/x2-x1
1:1:sqrt2

18. b¹
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
Add them. i.e. (5^7) * (5^3) = 5^10
1
A = pi(r^2)

19. Legs: 3 - 4. Hypotenuse?
ODD number
4.25 - 6 - 22
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
5

20. In any polygon - all external angles equal up to
The union of A and B.
360°
A+c<b+c
An is positive

21. Which is greater? 27^(-4) or 9^(-8)
C = (pi)d
27^(-4)
(amount of decrease/original price) x 100%
The overlapping sections.

22. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
(a - b)^2
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.)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

23. Area of a triangle
A= (1/2) b*h
2sqrt6
The greatest value minus the smallest.
4:5

24. The sum of the measures of the n angles in a polygon with n sides
1
(n-2) x 180
V=l×w×h
72

25. What is the graph of f(x) shifted upward c units or spaces?
87.5%
F(x) + c
Add them. i.e. (5^7) * (5^3) = 5^10
71 - 73 - 79

26. Pi is a ratio of what to what?

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27. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
Null
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
A percent is a fraction whose denominator is 100.

28. A prime number (or a prime)
Ø
A natural number greater than 1 that has no positive divisors other than 1 and itself
P=2(l+w)
90pi

29. A number is divisible by 6 if...
9
Its divisible by 2 and by 3.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
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)

30. Describe the relationship between the graphs of x^2 and (1/2)x^2
The objects within a set.
F(x) - c
The second graph is less steep.
Right

31. How many multiples does a given number have?
180
3
V=l×w×h
Infinite.

32. In a Regular Polygon - the measure of each exterior angle
The set of output values for a function.
Add them. i.e. (5^7) * (5^3) = 5^10
Reciprocal
360/n

33. For any number x
31 - 37
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)
Can be negative - zero - or positive
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

34. If a lamp decreases to $80 - from $100 - what is the decrease in price?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(x+y)(x+y)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
A-b is positive

35. Acute Angle
an angle that is less than 90°
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
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)

36. x^2 = 9. What is the value of x?
Ø Ø=Ø
3 - -3
An is positive
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.

37. Volume of a rectangular solid
Even
Ø
(p + q)/5
(length)(width)(height)

38. If a is inversely porportional to b - what does it equal?
The direction of the inequality is reversed.
The shortest arc between points A and B on a circle'S diameter.
A central angle is an angle formed by 2 radii.
Ab=k (k is a constant)

39. What percent of 40 is 22?
The greatest value minus the smallest.
Do not have slopes!
The set of elements found in both A and B.
55%

40. Simplify (a^2 + b)^2 - (a^2 - b)^2
No - only like radicals can be added.
x²-y²
Ø Ø=Ø
4a^2(b)

41. One is (a prime or not?)
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)
3
Ø
NOT A PRIME

42. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Smallest positive integer
P= 2L + 2w
2^9 / 2 = 256
A chord is a line segment joining two points on a circle.

43. What is the order of operations?
F(x-c)
All numbers multiples of 1.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
360°

44. 30 60 90
5 - 12 - 13
1
Diameter(Pi)
4:5

45. The negative exponent x?n is equivalent to what?
D=rt so r= d/t and t=d/r
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
1 & 37/132
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.

46. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
M= (Y1-Y2)/(X1-X2)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1

47. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
$3 -500 in the 9% and $2 -500 in the 7%.
The set of elements which can be found in either A or B.
(a - b)^2
x²-y²

48. What are the rational numbers?
(a - b)(a + b)
180°
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
P(E) = number of favorable outcomes/total number of possible outcomes

49. Legs 5 - 12. Hypotenuse?
Positive or Negative
3
67 - 71 - 73
13

50. What is the intersection of A and B?
90°
The set of elements found in both A and B.
500
4725