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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. How to recognize a # as a multiple of 3
3 - -3
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x²+2xy+y²
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)

2. What is the 'domain' of a function?
37.5%
B?b?b (where b is used as a factor n times)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
The set of input values for a function.

3. Solve the quadratic equation ax^2 + bx + c= 0
441000 = 1 10 10 10 21 * 21
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
12.5%
The set of elements found in both A and B.

4. 5x^2 - 35x -55 = 0
Sector area = (n/360) X (pi)r^2
20.5
Two (Ø×2=Ø)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

5. 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?
3 - -3
6
75:11
x²-y²

6. What is the 'union' of A and B?
P=2(l+w)
The set of elements which can be found in either A or B.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(a - b)^2

7. 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?
0
4.25 - 6 - 22
4096
y = 2x^2 - 3

8. Evaluate 4/11 + 11/12
1 & 37/132
B?b?b (where b is used as a factor n times)
0
3

9. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
B?b?b (where b is used as a factor n times)
A reflection about the origin.
A set with no members - denoted by a circle with a diagonal through it.
A+c<b+c

10. Slope of any line that goes up from left to right
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
12! / 5!7! = 792
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Positive

11. In a Rectangle - each angles measures
3
28
90°
Null

12. 8.84 / 5.2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1.7
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A=(base)(height)

13. One is (a prime or not?)
NOT A PRIME
Smallest positive integer
The sum of its digits is divisible by 3.
A<-b

14. What is the side length of an equilateral triangle with altitude 6?
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.)
... the square of the ratios of the corresponding sides.
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...
x²-y²

15. What is the order of operations?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Ø Ø=Ø
1

16. The percent decrease of a quantity
Its last two digits are divisible by 4.
Positive or Negative
= (actual decrease/Original amount) x 100%
Right

17. 1 is the
Two (Ø×2=Ø)
Smallest positive integer
x - x(SR3) - 2x
x^(6-3) = x^3

18. What percent of 40 is 22?
2 & 3/7
130pi
Even prime number
55%

19. The sum of all angles around a point
360°
(distance)/(rate) d/r
70
A set with a number of elements which can be counted.

20. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
1/x
Can be negative - zero - or positive
2 & 3/7
61 - 67

21. 25+2³
Ø
28
An isosceles right triangle.
The set of elements which can be found in either A or B.

22. 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))?
M= (Y1-Y2)/(X1-X2)
20.5
(b + c)
x^(6-3) = x^3

23. 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?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
500
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
(n-2) x 180

24. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
2.592 kg
A reflection about the axis.
53 - 59
Move the decimal point to the right x places

25. What is the slope of a vertical line?

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26. Legs 5 - 12. Hypotenuse?
The set of elements which can be found in either A or B.
18
(2x7)³
13

27. Evaluate (4^3)^2
Lies opposite the greater angle
4096
An arc is a portion of a circumference of a circle.
37.5%

28. The consecutive angles in a parallelogram equal
A=(base)(height)
Distance=rate×time or d=rt
y = 2x^2 - 3
180°

29. Circumference of a circle?
180 degrees
Relationship cannot be determined (what if x is negative?)
288 (8 9 4)
Diameter(Pi)

30. If a is negative and n is even then an is (positive or negative?)
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)
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
Cd
An is positive

31. If Event is impossible
A set with a number of elements which can be counted.
71 - 73 - 79
1
P(E) = ø

32. Consecutive integers
Factors are few - multiples are many.
Two angles whose sum is 180.
x - x+1 - x+2
(base*height) / 2

33. Perimeter of a rectangle
87.5%
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
P= 2L + 2w
7 / 1000

34. How to recognize a multiple of 6
1
Positive
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Sum of digits is a multiple of 3 and the last digit is even.

35. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1/a^6
= (actual decrease/Original amount) x 100%
2sqrt6

36. What is the 'Range' of a series of numbers?
(a - b)(a + b)
Positive or Negative
x²-y²
The greatest value minus the smallest.

37. How to determine percent decrease?
The sum of digits is divisible by 9.
(amount of decrease/original price) x 100%
4a^2(b)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

38. The Perimeter of a rectangle
P=2(l+w)
zero
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
(a - b)^2

39. If E is certain
1/x
9
Ab=k (k is a constant)
P(E) = 1/1 = 1

40. Formula to find a circle'S circumference from its diameter?
11 - 13 - 17 - 19
72
C = (pi)d
12.5%

41. How many sides does a hexagon have?
Every number
6
F(x) + c
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...

42. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
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.
D=rt so r= d/t and t=d/r
Two angles whose sum is 90.
A-b is positive

43. 5/6 in percent?
83.333%
V=side³
288 (8 9 4)
Infinite.

44. Legs 6 - 8. Hypotenuse?
10
Right
(n-2) x 180
1/x

45. Ø is a multiple of
90pi
Two (Ø×2=Ø)
Every number
3

46. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
7 / 1000
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...
18
Pi is the ratio of a circle'S circumference to its diameter.

47. a(b-c)
52
M= (Y1-Y2)/(X1-X2)
x(x - y + 1)
Ab-ac

48. The Denominator can never
M= (Y1-Y2)/(X1-X2)
Even
Be Zero!
90°

49. Ø Is neither
27^(-4)
Positive or Negative
Undefined
37.5%

50. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
A<-b
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.)