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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 are congruent triangles?
13
No - only like radicals can be added.
An arc is a portion of a circumference of a circle.
Triangles with same measure and same side lengths.

2. Slope of any line that goes down as you move from left to right is
441000 = 1 10 10 10 21 * 21
1.7
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)
Negative

3. What are the irrational numbers?

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4. What is the sum of the angles of a triangle?
87.5%
1:sqrt3:2
180 degrees
9 : 25

5. What are the roots of the quadrinomial x^2 + 2x + 1?
x^(2(4)) =x^8 = (x^4)^2
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
The two xes after factoring.
A tangent is a line that only touches one point on the circumference of a circle.

6. Obtuse Angle
angle that is greater than 90° but less than 180°
x²-2xy+y²
1
360°

7. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
(2x7)³
288 (8 9 4)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

8. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
180°
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
An infinite set.

9. 30 60 90
A 30-60-90 triangle.
3 - 4 - 5
180
3

10. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Null
12.5%
Lies opposite the greater angle

11. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
500
12! / 5!7! = 792
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

12. What is the 'Solution' for a system of linear equations?
y/x is a constant
X
The point of intersection of the systems.
D/t (distance)/(time)

13. Ø Is neither
Positive or Negative
1.0843 X 10^11
C = (pi)d
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

14. The sum of the measures of the n angles in a polygon with n sides
Sum of digits is a multiple of 3 and the last digit is even.
x²-2xy+y²
(n-2) x 180
26

15. a<b then a - b is positive or negative?
A-b is negative
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Ab-ac
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...

16. 1n
48
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...
Sector area = (n/360) X (pi)r^2
1

17. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
A= (1/2) b*h
2²
0
An infinite set.

18. What is the empty set?
72
A set with no members - denoted by a circle with a diagonal through it.
(x+y)(x-y)
Positive or Negative

19. a^2 - 2ab + b^2
y2-y1/x2-x1
An angle which is supplementary to an interior angle.
(a - b)^2
A+c<b+c

20. How do you solve proportions? a/b=c/d
Smallest positive integer
P(E) = ø
Sum of digits is a multiple of 3 and the last digit is even.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

21. Probability of Event all cases
The sum of the digits is a multiple of 9.
Ø=P(E)=1
F(x) + c
3/2 - 5/3

22. Ø Is
EVEN
Smallest positive integer
1
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

23. Find the surface area of a cylinder with radius 3 and height 12.
A tangent is a line that only touches one point on the circumference of a circle.
90pi
A=pi*(r^2)
An is positive

24. Is 0 even or odd?
Even
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The steeper the slope.
An expression with just one term (-6x - 2a^2)

25. -3³
Two (Ø×2=Ø)
The interesection of A and B.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
27

26. Legs: 3 - 4. Hypotenuse?
V=Lwh
5
The objects within a set.
Its divisible by 2 and by 3.

27. Volume of a rectangular box
V=Lwh
Ø
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)
D/t (distance)/(time)

28. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The sum of the digits is a multiple of 9.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

29. factored binomial product of (x-y)²
x²+2xy+y²
Smallest positive integer
x²-2xy+y²
D/t (distance)/(time)

30. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
180°
The empty set - denoted by a circle with a diagonal through it.
Positive

31. Volume of a cube
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
y = (x + 5)/2
9
Edge³

32. When dividing exponential #s with the same base - you do this to the exponents...
y2-y1/x2-x1
Subtract them. i.e (5^7)/(5^3)= 5^4
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...
The direction of the inequality is reversed.

33. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
Move the decimal point to the right x places
3 - -3
360°

34. binomial product of (x+y)²
Do not have slopes!
C = 2(pi)r
The set of output values for a function.
(x+y)(x+y)

35. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
Triangles with same measure and same side lengths.
An infinite set.
V=Lwh

36. 60 < all primes <70
27^(-4)
V=l×w×h
A central angle is an angle formed by 2 radii.
61 - 67

37. 10^6 has how many zeroes?
Positive or Negative
1
6
2^9 / 2 = 256

38. The consecutive angles in a parallelogram equal
Do not have slopes!
180°
(x+y)(x+y)
52

39. What is a minor arc?

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40. 5/6 in percent?
Ø
83.333%
3/2 - 5/3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

41. Formula for the area of a sector of a circle?
18
F(x-c)
The empty set - denoted by a circle with a diagonal through it.
Sector area = (n/360) X (pi)r^2

42. 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?
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
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
10! / (10-3)! = 720
61 - 67

43. 1/2 divided by 3/7 is the same as
Two angles whose sum is 90.
1/2 times 7/3
0
A percent is a fraction whose denominator is 100.

44. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
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.)
5
x - x(SR3) - 2x

45. In a rectangle - all angles are
Right
27
The steeper the slope.
Two angles whose sum is 90.

46. formula for the volume of a cube
3x - 4x - 5x
5
M= (Y1-Y2)/(X1-X2)
V=side³

47. Circumference of a circle
61 - 67
2(pi)r
26
x - x(SR3) - 2x

48. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
A 30-60-90 triangle.
A=½bh
180

49. Describe the relationship between 3x^2 and 3(x - 1)^2
1/2 times 7/3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
180
3/2 - 5/3

50. Formula to find a circle'S circumference from its radius?
1:1:sqrt2
Sum of digits is a multiple of 3 and the last digit is even.
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.
C = 2(pi)r