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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. b¹
F(x-c)
1
Subtract them. i.e (5^7)/(5^3)= 5^4
C = (pi)d

2. A number is divisible by 6 if...
Indeterminable.
Its divisible by 2 and by 3.
Null
87.5%

3. 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.
The shortest arc between points A and B on a circle'S diameter.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Ø

4. When does a function automatically have a restricted domain (2)?
The set of elements found in both A and B.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
y2-y1/x2-x1
Its last two digits are divisible by 4.

5. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
A = pi(r^2)
angle that is greater than 90° but less than 180°
13pi / 2
M

6. 30 60 90
ODD number
11 - 13 - 17 - 19
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
5 - 12 - 13

7. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
1:1:sqrt2
Two angles whose sum is 90.
A reflection about the origin.
23 - 29

8. 5/6 in percent?
83.333%
13
x^(4+7) = x^11
1

9. 6w^2 - w - 15 = 0
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
3/2 - 5/3
A reflection about the axis.
41 - 43 - 47

10. Ø is a multiple of
180°
10! / 3!(10-3)! = 120
2 & 3/7
Every number

11. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
180
An angle which is supplementary to an interior angle.
A grouping of the members within a set based on a shared characteristic.

12. formula for volume of a rectangular solid
Even
An infinite set.
V=l×w×h
4:5

13. To increase a number by x%
71 - 73 - 79
53 - 59
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
N! / (n-k)!

14. Dividing by a number is the same as multiplying it by its
(a + b)^2
Reciprocal
180 degrees
500

15. The product of odd number of negative numbers
Negative
An expression with just one term (-6x - 2a^2)
(x+y)(x+y)
11 - 13 - 17 - 19

16. What is the 'domain' of a function?
The set of input values for a function.
Add them. i.e. (5^7) * (5^3) = 5^10
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Even prime number

17. Perfect Squares 1-15
Distance=rate×time or d=rt
83.333%
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
An isosceles right triangle.

18. Area of a rectangle
x^(2(4)) =x^8 = (x^4)^2
The interesection of A and B.
A = length x width
8

19. An Angle that'S 180°
Straight Angle
10! / (10-3)! = 720
Two equal sides and two equal angles.
Even prime number

20. Any Horizontal line slope
10
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
A set with a number of elements which can be counted.
zero

21. Evaluate 3& 2/7 / 1/3
9 & 6/7
Indeterminable.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
V=Lwh

22. Can you simplify sqrt72?
The interesection of A and B.
10! / (10-3)! = 720
Straight Angle
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

23. What is the intersection of A and B?
1:1:sqrt2
The set of elements found in both A and B.
Every number
3 - 4 - 5

24. What are complementary angles?
x²-y²
3 - 4 - 5
Two angles whose sum is 90.
P(E) = number of favorable outcomes/total number of possible outcomes

25. What is the side length of an equilateral triangle with altitude 6?
= (actual decrease/Original amount) x 100%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
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...
Ø

26. The important properties of a 45-45-90 triangle?
Diameter(Pi)
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:sqrt3:2
41 - 43 - 47

27. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
No - only like radicals can be added.
Right
180
Infinite.

28. Slope of any line that goes up from left to right
Positive
2(pi)r
The overlapping sections.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

29. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
P(E) = ø
A-b is positive
1/2 times 7/3

30. A number is divisible by 9 if...
(distance)/(rate) d/r
C = 2(pi)r
The sum of digits is divisible by 9.
61 - 67

31. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
53 - 59
3 - -3
1
P(E) = number of favorable outcomes/total number of possible outcomes

32. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
(a + b)^2
10! / (10-3)! = 720
1
V=Lwh

33. Legs 6 - 8. Hypotenuse?
Do not have slopes!
P(E) = ø
Yes - like radicals can be added/subtracted.
10

34. Probability of an Event
31 - 37
P(E) = number of favorable outcomes/total number of possible outcomes
Every number
360°

35. Which is greater? 64^5 or 16^8
y2-y1/x2-x1
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
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)
(x+y)(x+y)

36. Acute Angle
an angle that is less than 90°
X
(x+y)(x-y)
360°

37. A prime number (or a prime)
90pi
1 & 37/132
A natural number greater than 1 that has no positive divisors other than 1 and itself
A=½bh

38. To decrease a number by x%
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...
12sqrt2
Ø=P(E)=1
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

39. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
x(x - y + 1)
y = (x + 5)/2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

40. What is a chord of a circle?
4.25 - 6 - 22
2(pi)r
A chord is a line segment joining two points on a circle.
53 - 59

41. What is the graph of f(x) shifted right c units or spaces?
Ø
10
F(x-c)
2^9 / 2 = 256

42. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
75:11
12! / 5!7! = 792
12sqrt2
N! / (k!)(n-k)!

43. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Add them. i.e. (5^7) * (5^3) = 5^10
2 & 3/7
A=½bh
The point of intersection of the systems.

44. Ø Is
(x+y)(x+y)
EVEN
(x+y)(x-y)
Ab-ac

45. x^2 = 9. What is the value of x?
28
72
3 - -3
Edge³

46. P and r are factors of 100. What is greater - pr or 100?
x²-2xy+y²
62.5%
180
Indeterminable.

47. a^2 + 2ab + b^2
(a + b)^2
75:11
4:5
Can be negative - zero - or positive

48. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
Null
x^(2(4)) =x^8 = (x^4)^2
True
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

49. What is a minor arc?

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50. If a is positive - an is
C=2 x pi x r OR pi x D
Negative
F(x) - c
Positive