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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. An Angle that'S 180°
Straight Angle
Smallest positive integer
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Can be negative - zero - or positive

2. formula for the volume of a cube
The steeper the slope.
Two (Ø×2=Ø)
V=side³
Two angles whose sum is 180.

3. What is the graph of f(x) shifted left c units or spaces?
(b + c)
F(x + c)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The interesection of A and B.

4. Slope
Ab=k (k is a constant)
y2-y1/x2-x1
x - x(SR3) - 2x
1/x

5. Whats the difference between factors and multiples?
Factors are few - multiples are many.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
The point of intersection of the systems.
1

6. What is the name of set with a number of elements which cannot be counted?
The set of output values for a function.
9 & 6/7
62.5%
An infinite set.

7. Positive integers that have exactly 2 positive divisors are
71 - 73 - 79
23 - 29
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

8. 8.84 / 5.2
The greatest value minus the smallest.
Undefined
= (actual decrease/Original amount) x 100%
1.7

9. Write 10 -843 X 10^7 in scientific notation
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
1.0843 X 10^11
Even
180°

10. Volume of a rectangular solid
9 : 25
.0004809 X 10^11
(length)(width)(height)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

11. (2²)³
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
An is positive
Ab-ac
26

12. 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
Even
(n-2) x 180
Sector area = (n/360) X (pi)r^2

13. What is the maximum value for the function g(x) = (-2x^2) -1?
Indeterminable.
12! / 5!7! = 792
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1

14. A number is divisible by 6 if...
P(E) = 1/1 = 1
2(pi)r
Its divisible by 2 and by 3.
90°

15. The reciprocal of any non-zero #x is
The sum of its digits is divisible by 3.
1/x
Triangles with same measure and same side lengths.
V=l×w×h

16. The Denominator can never
Be Zero!
Its divisible by 2 and by 3.
2
The sum of the digits is a multiple of 9.

17. In a Regular Polygon - the measure of each exterior angle
Pi is the ratio of a circle'S circumference to its diameter.
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.)
360/n
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

18. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
27
The objects within a set.
2sqrt6
x(x - y + 1)

19. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
12sqrt2
6 : 1 : 2

20. a^2 - b^2 =
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Factors are few - multiples are many.
(a - b)(a + b)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

21. Ø is
3
1:1:sqrt2
Ø=P(E)=1
Even

22. If a product of two numbers is Ø - one number must be
F(x + c)
N! / (k!)(n-k)!
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Ø

23. What is a tangent?
1/x
A tangent is a line that only touches one point on the circumference of a circle.
6 : 1 : 2
28

24. The sum of all angles around a point
The direction of the inequality is reversed.
(length)(width)(height)
360°
1/x

25. Area of a circle
360°
A=pi*(r^2)
1.0843 X 10^11
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

26. The perimeter of a square is 48 inches. The length of its diagonal is:
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
12sqrt2
The sum of the digits is a multiple of 9.
NOT A PRIME

27. What is the ratio of the sides of an isosceles right triangle?
1
1:1:sqrt2
360°
Infinite.

28. Area of a triangle
= (actual decrease/Original amount) x 100%
A= (1/2) b*h
23 - 29
A set with a number of elements which can be counted.

29. 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
Pi is the ratio of a circle'S circumference to its diameter.
Lies opposite the greater angle
B?b?b (where b is used as a factor n times)
18

30. Probability of E not occurring:
1 - P(E)
(amount of decrease/original price) x 100%
Positive
Smallest positive integer

31. binomial product of (x+y)(x-y)
x²-y²
The steeper the slope.
Two angles whose sum is 180.
5

32. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
(a + b)^2
3
6

33. Can you subtract 3sqrt4 from sqrt4?
V=side³
Yes - like radicals can be added/subtracted.
3 - 4 - 5
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

34. Ø is a multiple of
Right
$3 -500 in the 9% and $2 -500 in the 7%.
Two (Ø×2=Ø)
angle that is greater than 90° but less than 180°

35. What is the 'domain' of a function?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Every number
The set of input values for a function.
(2x7)³

36. Ø Is neither
1/x
A grouping of the members within a set based on a shared characteristic.
27^(-4)
Positive or Negative

37. 1 is the
The sum of its digits is divisible by 3.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Smallest positive integer
Add them. i.e. (5^7) * (5^3) = 5^10

38. (a^-1)/a^5
1/a^6
9 & 6/7
Ø
Ab=k (k is a constant)

39. What is the graph of f(x) shifted downward c units or spaces?
1/a^6
F(x) - c
1
Null

40. x^4 + x^7 =
Ø=P(E)=1
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The shortest arc between points A and B on a circle'S diameter.
x^(4+7) = x^11

41. What is the surface area of a cylinder with radius 5 and height 8?
130pi
A=(base)(height)
26
x²-y²

42. Ø is a multiple of
37.5%
A-b is positive
Ø=P(E)=1
Every number

43. Area of a circle
12! / 5!7! = 792
F(x-c)
(pi)r²
Ab-ac

44. Legs 6 - 8. Hypotenuse?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
3x - 4x - 5x
D/t (distance)/(time)
10

45. Important properties of a 30-60-90 triangle?
The steeper the slope.
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
1/x
Two angles whose sum is 90.

46. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
61 - 67
1
71 - 73 - 79
N! / (n-k)!

47. To multiply a number by 10^x
Move the decimal point to the right x places
The direction of the inequality is reversed.
441000 = 1 10 10 10 21 * 21
V=Lwh

48. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
D/t (distance)/(time)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
72

49. 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?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
500
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Smallest positive integer

50. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
an angle that is less than 90°
A= (1/2) b*h
$3 -500 in the 9% and $2 -500 in the 7%.