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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. Simplify (a^2 + b)^2 - (a^2 - b)^2
A= (1/2) b*h
The empty set - denoted by a circle with a diagonal through it.
4a^2(b)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

2. A number is divisible by 9 if...
1:sqrt3:2
.0004809 X 10^11
The sum of digits is divisible by 9.
Ø

3. The percent decrease of a quantity
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
90pi
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)
= (actual decrease/Original amount) x 100%

4. What are 'Supplementary angles?'
Two angles whose sum is 180.
Sum of digits is a multiple of 3 and the last digit is even.
67 - 71 - 73
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

5. (6sqrt3) x (2sqrt5) =
3 - 4 - 5
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
2 & 3/7

6. What are complementary angles?
Two angles whose sum is 90.
Two angles whose sum is 180.
360°
Every number

7. Legs 6 - 8. Hypotenuse?
130pi
10
The set of output values for a function.
V=side³

8. a^2 + 2ab + b^2
441000 = 1 10 10 10 21 * 21
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
23 - 29
(a + b)^2

9. Consecutive integers
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...
x - x+1 - x+2
NOT A PRIME
1:sqrt3:2

10. The sum of all angles around a point
The interesection of A and B.
Even prime number
360°
C = (pi)d

11. If E is certain
P(E) = 1/1 = 1
P(E) = ø
75:11
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

12. Perimeter of a rectangle
P= 2L + 2w
2 & 3/7
Two (Ø×2=Ø)
F(x-c)

13. First 10 prime #s
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.
The sum of the digits is a multiple of 9.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
90°

14. If a is negative and n is even then an is (positive or negative?)
90°
Ø=P(E)=1
Distance=rate×time or d=rt
An is positive

15. The product of any number x and its reciprocal
Null
(rate)(time) d=rt
1
(a - b)(a + b)

16. A quadrilateral where two diagonals bisect each other
Parallelogram
31 - 37
4096
Negative

17. 1 is an
53 - 59
C=2 x pi x r OR pi x D
No - only like radicals can be added.
ODD number

18. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
Null
441000 = 1 10 10 10 21 * 21
2(pi)r
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

19. What is a percent?
A percent is a fraction whose denominator is 100.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
3/2 - 5/3
Yes - like radicals can be added/subtracted.

20. Obtuse Angle
All numbers multiples of 1.
Relationship cannot be determined (what if x is negative?)
A-b is positive
angle that is greater than 90° but less than 180°

21. Number of degrees in a triangle
1/2 times 7/3
180
(a + b)^2
1:sqrt3:2

22. The Perimeter of a rectangle
M
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The sum of digits is divisible by 9.
P=2(l+w)

23. Slope
Reciprocal
y2-y1/x2-x1
90
180 degrees

24. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
1/2 times 7/3
90
6
A = pi(r^2)

25. 1/6 in percent?
16.6666%
X
The direction of the inequality is reversed.
48

26. Circumference of a Circle
C=2 x pi x r OR pi x D
12sqrt2
zero
1

27. factored binomial product of (x+y)²
2
Can be negative - zero - or positive
x²-y²
x²+2xy+y²

28. Solve the quadratic equation ax^2 + bx + c= 0
90°
y = (x + 5)/2
Lies opposite the greater angle
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

29. formula for area of a triangle
A=½bh
$3 -500 in the 9% and $2 -500 in the 7%.
1 & 37/132
an angle that is less than 90°

30. 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
A=(base)(height)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Undefined

31. What is the ratio of the sides of a 30-60-90 triangle?
Even prime number
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A=(base)(height)
1:sqrt3:2

32. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
y = 2x^2 - 3
27^(-4)
The set of input values for a function.
F(x-c)

33. Evaluate 3& 2/7 / 1/3
9 & 6/7
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
75:11
1:1:sqrt2

34. What are the irrational numbers?

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35. For any number x
An is positive
Add them. i.e. (5^7) * (5^3) = 5^10
A=pi*(r^2)
Can be negative - zero - or positive

36. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
1/2 times 7/3
1:1:sqrt2
0
The sum of digits is divisible by 9.

37. What is the surface area of a cylinder with radius 5 and height 8?
Smallest positive integer
M= (Y1-Y2)/(X1-X2)
130pi
Positive

38. Area of a circle
(pi)r²
Sector area = (n/360) X (pi)r^2
1:1:sqrt2
90pi

39. 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?
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
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.)
500

40. Is 0 even or odd?
Two angles whose sum is 180.
Even
The interesection of A and B.
90°

41. 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
180
A=½bh
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.
x²+2xy+y²

42. What is a minor arc?

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43. Pythagorean theorem
Infinite.
A²+b²=c²
1 & 37/132
The greatest value minus the smallest.

44. What is a major arc?

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45. binomial product of (x-y)²
0
20.5
13pi / 2
(x+y)(x-y)

46. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
A reflection about the axis.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
27^(-4)
9 : 25

47. Formula for the area of a circle?
A = pi(r^2)
V=l×w×h
180
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)

48. 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?
4:5
The set of elements which can be found in either A or B.
70
10! / (10-3)! = 720

49. 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?
(a - b)(a + b)
M
75:11
90°

50. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
1/x
Smallest positive integer
2.592 kg