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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. A number is divisible by 9 if...
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.)
The sum of digits is divisible by 9.
1.7
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

2. (x-y)²
1 & 37/132
x²-2xy+y²
Add them. i.e. (5^7) * (5^3) = 5^10
Pi is the ratio of a circle'S circumference to its diameter.

3. What are 'Supplementary angles?'
Two angles whose sum is 180.
1:1:sqrt2
A set with no members - denoted by a circle with a diagonal through it.
x²+2xy+y²

4. What are the members or elements of a set?
Two equal sides and two equal angles.
1/2 times 7/3
The objects within a set.
x²-y²

5. What is a set with no members called?
(a + b)^2
The empty set - denoted by a circle with a diagonal through it.
True
180°

6. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
61 - 67
52
Even

7. Ø is a multiple of
Two (Ø×2=Ø)
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.
F(x-c)
Undefined

8. 70 < all primes< 80
x(x - y + 1)
(pi)r²
Members or elements
71 - 73 - 79

9. the measure of a straight angle
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
180°
$3 -500 in the 9% and $2 -500 in the 7%.
Two angles whose sum is 90.

10. 6w^2 - w - 15 = 0
Positive
A central angle is an angle formed by 2 radii.
0
3/2 - 5/3

11. (a^-1)/a^5
Undefined
A 30-60-90 triangle.
1/a^6
(b + c)

12. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
(p + q)/5
C = (pi)d
500
A=pi*(r^2)

13. Probability of E not occurring:
360°
Positive or Negative
A = length x width
1 - P(E)

14. In a rectangle - all angles are
Straight Angle
1/x
Right
True

15. formula for distance problems
1
1.7
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Distance=rate×time or d=rt

16. Legs: 3 - 4. Hypotenuse?
C=2 x pi x r OR pi x D
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.)
5
A chord is a line segment joining two points on a circle.

17. Important properties of a 30-60-90 triangle?
1/a^6
The second graph is less steep.
Positive
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

18. For any number x
The objects within a set.
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)
Can be negative - zero - or positive
Ø Ø=Ø

19. If Event is impossible
Null
P(E) = ø
A chord is a line segment joining two points on a circle.
C = 2(pi)r

20. If a is positive - an is
Every number
Positive
$11 -448
x - x+1 - x+2

21. Slope given 2 points
EVEN
3
Ab+ac
M= (Y1-Y2)/(X1-X2)

22. (x+y)²
360°
(2x7)³
x²+2xy+y²
27

23. formula for area of a triangle
ODD number
(x+y)(x+y)
The empty set - denoted by a circle with a diagonal through it.
A=½bh

24. In a Regular Polygon - the measure of each exterior angle
3 - 4 - 5
5
360/n
12.5%

25. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Move the decimal point to the right x places
360°
N! / (k!)(n-k)!
1

26. If y is directly proportional to x - what does it equal?
Its last two digits are divisible by 4.
The overlapping sections.
(a - b)(a + b)
y/x is a constant

27. Area of a Parallelogram:
(a - b)(a + b)
Yes - like radicals can be added/subtracted.
Relationship cannot be determined (what if x is negative?)
A=(base)(height)

28. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
4a^2(b)
A reflection about the origin.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
2

29. To multiply a number by 10^x
Undefined - because we can'T divide by 0.
Sector area = (n/360) X (pi)r^2
Move the decimal point to the right x places
Ø

30. What are the smallest three prime numbers greater than 65?
Lies opposite the greater angle
2
67 - 71 - 73
75:11

31. binomial product of (x+y)(x-y)
The set of output values for a function.
61 - 67
Reciprocal
x²-y²

32. The only number that is equal to its opposite
Do not have slopes!
Ø Ø=Ø
(p + q)/5
Ø

33. What are the integers?
B?b?b (where b is used as a factor n times)
Triangles with same measure and same side lengths.
2(pi)r
All numbers multiples of 1.

34. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
P= 2L + 2w
$11 -448
x - x(SR3) - 2x
10! / 3!(10-3)! = 120

35. a^2 - b^2
(a - b)(a + b)
13pi / 2
4725
Ø=P(E)=1

36. Ø is
Arc length = (n/360) x pi(2r) where n is the number of degrees.
N! / (n-k)!
A multiple of every integer
The set of elements found in both A and B.

37. How to recognize a # as a multiple of 9
9 & 6/7
The steeper the slope.
The sum of the digits is a multiple of 9.
87.5%

38. Ø is
Even
Edge³
(length)(width)(height)
x²-2xy+y²

39. Define an 'expression'.
Two angles whose sum is 180.
180°
10
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)

40. 0^0
2sqrt6
Undefined
= (actual decrease/Original amount) x 100%
72

41. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
NOT A PRIME
Yes - like radicals can be added/subtracted.
Smallest positive integer

42. Evaluate (4^3)^2
4096
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A= (1/2) b*h
87.5%

43. Which is greater? 200x^295 or 10x^294?
x - x(SR3) - 2x
1
Relationship cannot be determined (what if x is negative?)
A subset.

44. The important properties of a 45-45-90 triangle?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Ab=k (k is a constant)
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.
1:1:sqrt2

45. a>b then a - b is positive or negative?
A-b is positive
1.0843 X 10^11
Subtract them. i.e (5^7)/(5^3)= 5^4
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)

46. How to determine percent decrease?
90
B?b?b (where b is used as a factor n times)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(amount of decrease/original price) x 100%

47. Formula for the area of a sector of a circle?
31 - 37
(base*height) / 2
Sector area = (n/360) X (pi)r^2
0

48. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
11 - 13 - 17 - 19
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

49. Rate
The point of intersection of the systems.
D/t (distance)/(time)
180°
Move the decimal point to the right x places

50. 8.84 / 5.2
1.7
The greatest value minus the smallest.
Do not have slopes!
= (actual decrease/Original amount) x100% = 20/100x100% = 20%