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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. One is (a prime or not?)
Edge³
Subtract them. i.e (5^7)/(5^3)= 5^4
48
NOT A PRIME

2. How many 3-digit positive integers are even and do not contain the digit 4?
C = 2(pi)r
288 (8 9 4)
1/x
3 - -3

3. Consecutive integers
10
Indeterminable.
1/a^6
x - x+1 - x+2

4. Area of a circle
x(x - y + 1)
(pi)r²
180°
ODD number

5. Any Horizontal line slope
28
zero
P(E) = number of favorable outcomes/total number of possible outcomes
0

6. What is an arc of a circle?
6
An arc is a portion of a circumference of a circle.
A percent is a fraction whose denominator is 100.
A= (1/2) b*h

7. The objects in a set are called two names:
1:sqrt3:2
8
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Members or elements

8. Vertical lines
Parallelogram
Its last two digits are divisible by 4.
Do not have slopes!
A= (1/2) b*h

9. What is the set of elements found in both A and B?
27^(-4)
(base*height) / 2
87.5%
The interesection of A and B.

10. Can you simplify sqrt72?
The point of intersection of the systems.
Two (Ø×2=Ø)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Add them. i.e. (5^7) * (5^3) = 5^10

11. 1 is an
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
B?b?b (where b is used as a factor n times)
ODD number
NOT A PRIME

12. 25+2³
Smallest positive integer
28
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
180°

13. 30 60 90
3 - 4 - 5
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(x+y)(x-y)

14. 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?
441000 = 1 10 10 10 21 * 21
EVEN
360°
Triangles with same measure and same side lengths.

15. formula for the volume of a cube
1
48
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
V=side³

16. Solve the quadratic equation ax^2 + bx + c= 0
(x+y)(x+y)
(a - b)^2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Triangles with same measure and same side lengths.

17. What is a set with no members called?
Triangles with same measure and same side lengths.
2^9 / 2 = 256
The empty set - denoted by a circle with a diagonal through it.
6

18. What is the slope of a horizontal line?
y2-y1/x2-x1
Parallelogram
0
(rate)(time) d=rt

19. Probability of E not occurring:
x²-2xy+y²
1 - P(E)
A natural number greater than 1 that has no positive divisors other than 1 and itself
Undefined - because we can'T divide by 0.

20. If a<b - then
All numbers multiples of 1.
A+c<b+c
61 - 67
Ab-ac

21. 3 is the opposite of
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A-b is negative
3
Members or elements

22. What is the 'domain' of a function?
6
26
Ø Ø=Ø
The set of input values for a function.

23. Legs 6 - 8. Hypotenuse?
5
4a^2(b)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
10

24. 1 is a divisor of
Factors are few - multiples are many.
Every number
$11 -448
6

25. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
P(E) = number of favorable outcomes/total number of possible outcomes
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)
2sqrt6
2^9 / 2 = 256

26. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
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.)
90pi
x - x(SR3) - 2x
4.25 - 6 - 22

27. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
1 & 37/132
1
$11 -448
500

28. 50 < all primes< 60
C = 2(pi)r
Ø
A set with no members - denoted by a circle with a diagonal through it.
53 - 59

29. How to find the circumference of a circle which circumscribes a square?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
P(E) = 1/1 = 1
F(x-c)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

30. Circumference of a circle
Pi(diameter)
9 & 6/7
1/x
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

31. What is a subset?
31 - 37
A grouping of the members within a set based on a shared characteristic.
C = (pi)d
Ø=P(E)=1

32. -3²
9
(2x7)³
28. n = 8 - k = 2. n! / k!(n-k)!
an angle that is less than 90°

33. 30< all primes<40
3 - -3
A reflection about the origin.
31 - 37
Ø

34. a^2 - b^2 =
Every number
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)
90°
(a - b)(a + b)

35. a(b+c)
Ab+ac
A-b is positive
P(E) = 1/1 = 1
Edge³

36. A prime number (or a prime)
Distance=rate×time or d=rt
Yes - like radicals can be added/subtracted.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
A natural number greater than 1 that has no positive divisors other than 1 and itself

37. 25^(1/2) or sqrt. 25 =
5 OR -5
The second graph is less steep.
A set with no members - denoted by a circle with a diagonal through it.
The sum of digits is divisible by 9.

38. Define a 'Term' -
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1
28
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)

39. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
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.
y/x is a constant
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)
3

40. 7/8 in percent?
Edge³
Negative
P(E) = 1/1 = 1
87.5%

41. What is the maximum value for the function g(x) = (-2x^2) -1?
x²-2xy+y²
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)
1
P(E) = number of favorable outcomes/total number of possible outcomes

42. What is the 'Solution' for a set of inequalities.
The overlapping sections.
A set with no members - denoted by a circle with a diagonal through it.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A-b is negative

43. P and r are factors of 100. What is greater - pr or 100?
A reflection about the axis.
Indeterminable.
x(x - y + 1)
Pi is the ratio of a circle'S circumference to its diameter.

44. formula for area of a triangle
F(x) + c
A=½bh
90
53 - 59

45. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
3 - 4 - 5
Ø=P(E)=1
28. n = 8 - k = 2. n! / k!(n-k)!
2(pi)r

46. Area of a triangle?
(base*height) / 2
(a + b)^2
5
28. n = 8 - k = 2. n! / k!(n-k)!

47. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
1:sqrt3:2
(amount of decrease/original price) x 100%
A=½bh

48. What is a percent?
A percent is a fraction whose denominator is 100.
Ø=P(E)=1
Right
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

49. What are complementary angles?
Two angles whose sum is 90.
Move the decimal point to the right x places
Positive
48

50. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Its last two digits are divisible by 4.
2^9 / 2 = 256
Diameter(Pi)
A-b is negative