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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. What is the maximum value for the function g(x) = (-2x^2) -1?
71 - 73 - 79
6
1
55%

2. Write 10 -843 X 10^7 in scientific notation
zero
Do not have slopes!
1.0843 X 10^11
A = length x width

3. Which is greater? 27^(-4) or 9^(-8)
1.0843 X 10^11
Can be negative - zero - or positive
Positive
27^(-4)

4. a^2 - b^2 =
28. n = 8 - k = 2. n! / k!(n-k)!
x^(4+7) = x^11
y = 2x^2 - 3
(a - b)(a + b)

5. What is a chord of a circle?
180
1
Move the decimal point to the right x places
A chord is a line segment joining two points on a circle.

6. 30 60 90
Ø
5 - 12 - 13
(distance)/(rate) d/r
Straight Angle

7. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
55%
1/a^6
1
An isosceles right triangle.

8. Ø is a multiple of
Ø Ø=Ø
Triangles with same measure and same side lengths.
Two (Ø×2=Ø)
Indeterminable.

9. Perfect Squares 1-15
D/t (distance)/(time)
28
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
The second graph is less steep.

10. (x-y)²
EVEN
10
x²-2xy+y²
1

11. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
Ø
(base*height) / 2
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

12. What is the surface area of a cylinder with radius 5 and height 8?
10! / 3!(10-3)! = 120
$11 -448
130pi
180

13. (x^2)^4
(a + b)^2
61 - 67
(2x7)³
x^(2(4)) =x^8 = (x^4)^2

14. A number is divisible by 6 if...
Positive or Negative
The overlapping sections.
Its divisible by 2 and by 3.
y/x is a constant

15. 1n
(rate)(time) d=rt
Ø
1
3 - -3

16. Circumference of a circle
13
$3 -500 in the 9% and $2 -500 in the 7%.
Pi(diameter)
(length)(width)(height)

17. What is a major arc?

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18. 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?
180 degrees
500
(rate)(time) d=rt
(a - b)^2

19. What is the 'Solution' for a set of inequalities.
Factors are few - multiples are many.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Ø
The overlapping sections.

20. How to recognize a # as a multiple of 3
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)
The sum of the digits is a multiple of 9.
441000 = 1 10 10 10 21 * 21
Ab=k (k is a constant)

21. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
(a + b)^2
F(x) + c
The interesection of A and B.

22. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
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...
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)
An infinite set.

23. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
9
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
P=2(l+w)

24. For any number x
X
A grouping of the members within a set based on a shared characteristic.
Subtract them. i.e (5^7)/(5^3)= 5^4
Can be negative - zero - or positive

25. 1 is an
360°
1
ODD number
(b + c)

26. 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
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
180
130pi
A set with no members - denoted by a circle with a diagonal through it.

27. 30< all primes<40
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.)
31 - 37
1
A central angle is an angle formed by 2 radii.

28. Volume of a rectangular box
No - only like radicals can be added.
75:11
V=Lwh
(a - b)(a + b)

29. What is the 'domain' of a function?
1
The set of input values for a function.
Edge³
Lies opposite the greater angle

30. In a Rectangle - each angles measures
A reflection about the axis.
The point of intersection of the systems.
90°
(a + b)^2

31. Simplify 9^(1/2) X 4^3 X 2^(-6)?
An isosceles right triangle.
48
3
y2-y1/x2-x1

32. 30 60 90
A-b is negative
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)
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.
3x - 4x - 5x

33. Important properties of a 30-60-90 triangle?
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
6
x²-y²
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.

34. The only number that is equal to its opposite
Be Zero!
P(E) = 1/1 = 1
Ø Ø=Ø
$3 -500 in the 9% and $2 -500 in the 7%.

35. What is a central angle?
Lies opposite the greater angle
Infinite.
9
A central angle is an angle formed by 2 radii.

36. Ø Is
Members or elements
EVEN
A+c<b+c
90°

37. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
1/2 times 7/3
= (actual decrease/Original amount) x 100%
360°

38. What is the slope of a horizontal line?
(a - b)(a + b)
26
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.)
0

39. formula for volume of a rectangular solid
5 OR -5
M
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
V=l×w×h

40. Convert 0.7% to a fraction.
7 / 1000
A=(base)(height)
Straight Angle
6

41. -3³
90°
27
2.592 kg
No - only like radicals can be added.

42. 2³×7³
2(pi)r
12! / 5!7! = 792
Ab+ac
(2x7)³

43. Formula for the area of a circle?
The set of elements which can be found in either A or B.
Every number
12.5%
A = pi(r^2)

44. x^2 = 9. What is the value of x?
28
1/a^6
3 - -3
Reciprocal

45. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Add them. i.e. (5^7) * (5^3) = 5^10
Distance=rate×time or d=rt
4725
2sqrt6

46. 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?
3
0
Yes - like radicals can be added/subtracted.
75:11

47. 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?
An expression with just one term (-6x - 2a^2)
Ø Ø=Ø
Ø=P(E)=1
2.592 kg

48. What is the graph of f(x) shifted left c units or spaces?
M= (Y1-Y2)/(X1-X2)
Two angles whose sum is 180.
A multiple of every integer
F(x + c)

49. a>b then a - b is positive or negative?
Ab+ac
C = 2(pi)r
y/x is a constant
A-b is positive

50. Product of any number and Ø is
Edge³
A 30-60-90 triangle.
20.5
Ø