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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. The product of odd number of negative numbers
Negative
No - only like radicals can be added.
360°
C = (pi)d

2. 30< all primes<40
31 - 37
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.)
16.6666%
2.592 kg

3. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
2.592 kg
1
20.5
1

4. Find distance when given time and rate
D=rt so r= d/t and t=d/r
The sum of its digits is divisible by 3.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(a - b)(a + b)

5. What is the empty set?
No - only like radicals can be added.
A set with no members - denoted by a circle with a diagonal through it.
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.)
4.25 - 6 - 22

6. In any polygon - all external angles equal up to
360°
A reflection about the origin.
N! / (n-k)!
The longest arc between points A and B on a circle'S diameter.

7. Evaluate 4/11 + 11/12
4.25 - 6 - 22
1 & 37/132
31 - 37
13

8. If a lamp decreases to $80 - from $100 - what is the decrease in price?
Two (Ø×2=Ø)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
61 - 67
Factors are few - multiples are many.

9. a(b+c)
Even prime number
The steeper the slope.
Ab+ac
A=½bh

10. Dividing by a number is the same as multiplying it by its
6 : 1 : 2
Reciprocal
Ø
The overlapping sections.

11. 8.84 / 5.2
Ø Ø=Ø
V=side³
1.7
(a - b)^2

12. 25/2³
2²
Negative
The steeper the slope.
F(x + c)

13. What is the name for a grouping of the members within a set based on a shared characteristic?
Null
y2-y1/x2-x1
The set of elements found in both A and B.
A subset.

14. (a^-1)/a^5
1/a^6
90
70
angle that is greater than 90° but less than 180°

15. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
90
C = (pi)d
P=2(l+w)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

16. a(b-c)
Ab-ac
37.5%
An expression with just one term (-6x - 2a^2)
Add them. i.e. (5^7) * (5^3) = 5^10

17. The reciprocal of any non-zero number is
1/x
(rate)(time) d=rt
an angle that is less than 90°
1

18. How to find the circumference of a circle which circumscribes a square?
360°
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
61 - 67
2²

19. Formula for the area of a sector of a circle?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
12! / 5!7! = 792
Sector area = (n/360) X (pi)r^2
x - x(SR3) - 2x

20. 20<all primes<30
10! / 3!(10-3)! = 120
1
An infinite set.
23 - 29

21. What is a central angle?
A central angle is an angle formed by 2 radii.
(x+y)(x-y)
13pi / 2
5

22. The sum of the angles in a quadrilateral is
Subtract them. i.e (5^7)/(5^3)= 5^4
7 / 1000
V=l×w×h
360°

23. Volume of a rectangular solid
3 - 4 - 5
6 : 1 : 2
72
(length)(width)(height)

24. binomial product of (x+y)(x-y)
1 & 37/132
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
x²-y²
Ab=k (k is a constant)

25. Whats the difference between factors and multiples?
288 (8 9 4)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Factors are few - multiples are many.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

26. a^2 - b^2 =
(a - b)(a + b)
Undefined - because we can'T divide by 0.
The second graph is less steep.
130pi

27. Probability of Event all cases
Ø=P(E)=1
13
(b + c)
71 - 73 - 79

28. the slope of a line in y=mx+b
(p + q)/5
M
5
61 - 67

29. When multiplying exponential #s with the same base - you do this to the exponents...
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)
Add them. i.e. (5^7) * (5^3) = 5^10
28. n = 8 - k = 2. n! / k!(n-k)!
1 - P(E)

30. binomial product of (x-y)²
(x+y)(x-y)
75:11
12sqrt2
An arc is a portion of a circumference of a circle.

31. Is 0 even or odd?
130pi
Ø Ø=Ø
y/x is a constant
Even

32. What does scientific notation mean?
3
13
(a - b)(a + b)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

33. An Angle that'S 180°
= (actual decrease/Original amount) x 100%
(length)(width)(height)
67 - 71 - 73
Straight Angle

34. (12sqrt15) / (2sqrt5) =
Sector area = (n/360) X (pi)r^2
Subtract them. i.e (5^7)/(5^3)= 5^4
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

35. 10<all primes<20
Ø=P(E)=1
11 - 13 - 17 - 19
The overlapping sections.
A subset.

36. The perimeter of a square is 48 inches. The length of its diagonal is:
4.25 - 6 - 22
12sqrt2
75:11
x - x+1 - x+2

37. If a product of two numbers is Ø - one number must be
Ø
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(length)(width)(height)
NOT A PRIME

38. How many 3-digit positive integers are even and do not contain the digit 4?
A²+b²=c²
(base*height) / 2
288 (8 9 4)
2²

39. What are congruent triangles?
Triangles with same measure and same side lengths.
27
26
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...

40. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
7 / 1000
1
2 & 3/7
(base*height) / 2

41. 5x^2 - 35x -55 = 0
1/a^6
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
3 - -3
N! / (n-k)!

42. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
A set with no members - denoted by a circle with a diagonal through it.
(2x7)³
Cd

43. 50 < all primes< 60
27^(-4)
Right
12! / 5!7! = 792
53 - 59

44. Formula to find a circle'S circumference from its diameter?
C = (pi)d
72
A+c<b+c
67 - 71 - 73

45. The product of any number x and its reciprocal
3
Subtract them. i.e (5^7)/(5^3)= 5^4
An is positive
1

46. The Perimeter of a Square
9 : 25
P=4s (s=side)
441000 = 1 10 10 10 21 * 21
V=side³

47. Slope of any line that goes down as you move from left to right is
Negative
A = pi(r^2)
Ø
(amount of decrease/original price) x 100%

48. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Triangles with same measure and same side lengths.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
C = 2(pi)r
A 30-60-90 triangle.

49. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
83.333%
A central angle is an angle formed by 2 radii.
A+c<b+c

50. a>b then a - b is positive or negative?
9 : 25
A-b is positive
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
12.5%