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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. Find distance when given time and rate
A= (1/2) b*h
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
The longest arc between points A and B on a circle'S diameter.
D=rt so r= d/t and t=d/r

2. factored binomial product of (x-y)²
The longest arc between points A and B on a circle'S diameter.
V=l×w×h
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
x²-2xy+y²

3. -3²
x - x(SR3) - 2x
(distance)/(rate) d/r
Members or elements
9

4. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / 3!(10-3)! = 120
Ø=P(E)=1
A+c<b+c
The point of intersection of the systems.

5. Is 0 even or odd?
(distance)/(rate) d/r
Even
1
(b + c)

6. a^2 - b^2
Relationship cannot be determined (what if x is negative?)
Ø
Subtract them. i.e (5^7)/(5^3)= 5^4
(a - b)(a + b)

7. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
M= (Y1-Y2)/(X1-X2)
An isosceles right triangle.
An infinite set.

8. 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?
Smallest positive integer
360°
The shortest arc between points A and B on a circle'S diameter.
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

9. 2 is the only
Even prime number
The set of elements found in both A and B.
Factors are few - multiples are many.
Its last two digits are divisible by 4.

10. Circumference of a circle?
Sum of digits is a multiple of 3 and the last digit is even.
90pi
(a + b)^2
Diameter(Pi)

11. What are the irrational numbers?

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12. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
10! / 3!(10-3)! = 120
Be Zero!
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.

13. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The sum of the digits is a multiple of 9.
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)
x²-y²

14. 30 60 90
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)
3x - 4x - 5x
V=l×w×h
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

15. Legs 6 - 8. Hypotenuse?
A multiple of every integer
10
62.5%
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.)

16. Acute Angle
an angle that is less than 90°
Triangles with same measure and same side lengths.
An infinite set.
1

17. Formula to find a circle'S circumference from its radius?
A= (1/2) b*h
7 / 1000
180°
C = 2(pi)r

18. Perimeter of a rectangle
Right
(base*height) / 2
P= 2L + 2w
A-b is positive

19. 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?
9 : 25
1 - P(E)
The objects within a set.
27^(-4)

20. What is the set of elements found in both A and B?
28. n = 8 - k = 2. n! / k!(n-k)!
All numbers multiples of 1.
The interesection of A and B.
26

21. A quadrilateral where two diagonals bisect each other
1
Positive
The set of input values for a function.
Parallelogram

22. (x+y)²
The set of output values for a function.
x²+2xy+y²
y = (x + 5)/2
The greatest value minus the smallest.

23. The Perimeter of a Square
A percent is a fraction whose denominator is 100.
x²+2xy+y²
P=4s (s=side)
10

24. Find the surface area of a cylinder with radius 3 and height 12.
90pi
27^(-4)
The set of output values for a function.
6

25. How to recognize a # as a multiple of 3
Null
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)
Move the decimal point to the right x places
x²-2xy+y²

26. Volume of a rectangular solid
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
The union of A and B.
The sum of its digits is divisible by 3.
(length)(width)(height)

27. a^2 + 2ab + b^2
The interesection of A and B.
(a + b)^2
A reflection about the axis.
1

28. Legs 5 - 12. Hypotenuse?
13
72
Every number
An expression with just one term (-6x - 2a^2)

29. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
F(x) - c
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Parallelogram

30. 70 < all primes< 80
An arc is a portion of a circumference of a circle.
1:sqrt3:2
71 - 73 - 79
70

31. 60 < all primes <70
N! / (k!)(n-k)!
Diameter(Pi)
Straight Angle
61 - 67

32. What are the real numbers?
Parallelogram
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)
23 - 29
x²+2xy+y²

33. 1n
X
1
3
(a - b)^2

34. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
4096
1
y2-y1/x2-x1
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.

35. Any Horizontal line slope
Straight Angle
zero
Reciprocal
4.25 - 6 - 22

36. 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)?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
y = (x + 5)/2
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)

37. Which is greater? 200x^295 or 10x^294?
Its last two digits are divisible by 4.
Relationship cannot be determined (what if x is negative?)
500
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.

38. How many multiples does a given number have?
The empty set - denoted by a circle with a diagonal through it.
Infinite.
Its last two digits are divisible by 4.
Sum of digits is a multiple of 3 and the last digit is even.

39. In any polygon - all external angles equal up to
zero
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)
360°
The sum of digits is divisible by 9.

40. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
D=rt so r= d/t and t=d/r
F(x + c)
The steeper the slope.

41. The percent decrease of a quantity
Ø
0
= (actual decrease/Original amount) x 100%
Relationship cannot be determined (what if x is negative?)

42. If E is certain
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Positive or Negative
x - x(SR3) - 2x
P(E) = 1/1 = 1

43. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
Reciprocal
75:11
C = (pi)d

44. The product of odd number of negative numbers
37.5%
Negative
angle that is greater than 90° but less than 180°
70

45. Evaluate (4^3)^2
4096
V=l×w×h
(x+y)(x+y)
zero

46. a(b-c)
Factors are few - multiples are many.
Ab-ac
2(pi)r
M

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?
ODD number
2.592 kg
4096
Yes - like radicals can be added/subtracted.

48. 7 divided by Ø
x - x(SR3) - 2x
Parallelogram
Null
3

49. If a lamp decreases to $80 - from $100 - what is the decrease in price?
M
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
27
The empty set - denoted by a circle with a diagonal through it.

50. The important properties of a 45-45-90 triangle?
1
zero
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.
y/x is a constant