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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. 4.809 X 10^7 =
3/2 - 5/3
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
441000 = 1 10 10 10 21 * 21
.0004809 X 10^11

2. Acute Angle
4.25 - 6 - 22
an angle that is less than 90°
Sum of digits is a multiple of 3 and the last digit is even.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

3. a^0 =
True
A=½bh
Undefined - because we can'T divide by 0.
1

4. A number is divisible by 3 if ...
Ø
Cd
Diameter(Pi)
The sum of its digits is divisible by 3.

5. Slope
360°
y2-y1/x2-x1
(a - b)^2
Two equal sides and two equal angles.

6. The reciprocal of any non-zero number is
angle that is greater than 90° but less than 180°
1/x
... the square of the ratios of the corresponding sides.
The steeper the slope.

7. 50 < all primes< 60
180°
The direction of the inequality is reversed.
The interesection of A and B.
53 - 59

8. If a lamp decreases to $80 - from $100 - what is the decrease in price?
The set of elements which can be found in either A or B.
Do not have slopes!
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

9. What is the order of operations?
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
4a^2(b)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
75:11

10. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(a + b)^2
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
x(x - y + 1)

11. If a product of two numbers is Ø - one number must be
Ø
The set of output values for a function.
(a + b)^2
1 - P(E)

12. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
360°
Be Zero!
52
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

13. Ø Is neither
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Positive or Negative
The steeper the slope.
The sum of the digits is a multiple of 9.

14. Evaluate (4^3)^2
The greatest value minus the smallest.
13pi / 2
4096
3 - -3

15. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Move the decimal point to the right x places
2
The sum of digits is divisible by 9.
(pi)r²

16. Circumference of a circle?
Yes - like radicals can be added/subtracted.
Diameter(Pi)
Ø
Negative

17. How many sides does a hexagon have?
The objects within a set.
6
83.333%
N! / (k!)(n-k)!

18. (x-y)(x+y)
A multiple of every integer
Be Zero!
x²-y²
6

19. Area of a rectangle
2²
F(x) - c
An infinite set.
A = length x width

20. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1
P(E) = number of favorable outcomes/total number of possible outcomes
x^(4+7) = x^11

21. Formula to find a circle'S circumference from its radius?
Its last two digits are divisible by 4.
An isosceles right triangle.
C = 2(pi)r
90pi

22. 40 < all primes<50
41 - 43 - 47
Yes - like radicals can be added/subtracted.
Straight Angle
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

23. Area of a circle
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Pi(diameter)
1/x
A=pi*(r^2)

24. 0^0
71 - 73 - 79
Undefined
360°
37.5%

25. 1/Ø=null If a>b then
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)
3 - -3
Sum of digits is a multiple of 3 and the last digit is even.
A<-b

26. What is the name for a grouping of the members within a set based on a shared characteristic?
(x+y)(x+y)
A subset.
$3 -500 in the 9% and $2 -500 in the 7%.
1:1:sqrt2

27. Solve the quadratic equation ax^2 + bx + c= 0
The objects within a set.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(amount of decrease/original price) x 100%

28. -3²
9
Cd
Positive
12! / 5!7! = 792

29. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
x - x(SR3) - 2x
2sqrt6
90pi
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

30. Can you simplify sqrt72?
1 - P(E)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
An is positive
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

31. x^6 / x^3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
x^(6-3) = x^3
x²-2xy+y²

32. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
(2x7)³
500
(a - b)(a + b)

33. a^2 + 2ab + b^2
180
360°
(a + b)^2
M

34. (a^-1)/a^5
N! / (n-k)!
1/a^6
All numbers multiples of 1.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

35. (x+y)²
6 : 1 : 2
x²+2xy+y²
Pi(diameter)
6

36. What is the graph of f(x) shifted downward c units or spaces?
1
F(x) - c
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.)
2(pi)r

37. 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?
Cd
4:5
Ab=k (k is a constant)
10! / (10-3)! = 720

38. What is a chord of a circle?
EVEN
A chord is a line segment joining two points on a circle.
y/x is a constant
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

39. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
90pi
A 30-60-90 triangle.
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

40. What is a minor arc?

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41. Area of a Parallelogram:
(distance)/(rate) d/r
A tangent is a line that only touches one point on the circumference of a circle.
A=(base)(height)
13pi / 2

42. Legs 5 - 12. Hypotenuse?
28. n = 8 - k = 2. n! / k!(n-k)!
4:5
13
5 - 12 - 13

43. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
... the square of the ratios of the corresponding sides.
Every number
2²

44. Evaluate 4/11 + 11/12
1/x
$11 -448
x - x(SR3) - 2x
1 & 37/132

45. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
Ab=k (k is a constant)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
48

46. What are 'Supplementary angles?'
3/2 - 5/3
An is positive
83.333%
Two angles whose sum is 180.

47. What are congruent triangles?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
75:11
A-b is negative
Triangles with same measure and same side lengths.

48. A quadrilateral where two diagonals bisect each other
A percent is a fraction whose denominator is 100.
70
Parallelogram
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

49. Obtuse Angle
The shortest arc between points A and B on a circle'S diameter.
The longest arc between points A and B on a circle'S diameter.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
angle that is greater than 90° but less than 180°

50. What is a set with no members called?
55%
The empty set - denoted by a circle with a diagonal through it.
13
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.