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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 is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Its divisible by 2 and by 3.
Ø
A reflection about the origin.
10! / 3!(10-3)! = 120

2. 20<all primes<30
23 - 29
D=rt so r= d/t and t=d/r
P=2(l+w)
Infinite.

3. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
$3 -500 in the 9% and $2 -500 in the 7%.
The empty set - denoted by a circle with a diagonal through it.
8
360°

4. a(b+c)
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)
F(x) - c
Ab+ac
Triangles with same measure and same side lengths.

5. 5x^2 - 35x -55 = 0
Ab=k (k is a constant)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
180 degrees
4725

6. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
A multiple of every integer
Members or elements

7. What is a percent?
(a - b)(a + b)
Two equal sides and two equal angles.
A percent is a fraction whose denominator is 100.
N! / (n-k)!

8. What are the smallest three prime numbers greater than 65?
(length)(width)(height)
6
67 - 71 - 73
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

9. Volume of a cube
The shortest arc between points A and B on a circle'S diameter.
An expression with just one term (-6x - 2a^2)
26
Edge³

10. Important properties of a 30-60-90 triangle?
0
Undefined
A-b is negative
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

11. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
The sum of its digits is divisible by 3.
288 (8 9 4)
(length)(width)(height)

12. 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?
9 : 25
1/a^6
2
441000 = 1 10 10 10 21 * 21

13. P and r are factors of 100. What is greater - pr or 100?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Indeterminable.
A²+b²=c²
(b + c)

14. The sum of all angles around a point
3 - 4 - 5
Its last two digits are divisible by 4.
= (actual decrease/Original amount) x 100%
360°

15. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
3/2 - 5/3
A²+b²=c²
P(E) = 1/1 = 1
4725

16. Ø Is
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
x - x+1 - x+2
The union of A and B.
EVEN

17. Convert 0.7% to a fraction.
7 / 1000
Positive
True
x - x(SR3) - 2x

18. Formula to calculate arc length?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The steeper the slope.
31 - 37
Arc length = (n/360) x pi(2r) where n is the number of degrees.

19. 8.84 / 5.2
13pi / 2
1.7
1
A reflection about the axis.

20. a^2 + 2ab + b^2
A=½bh
2(pi)r
(a + b)^2
13

21. What is the name of set with a number of elements which cannot be counted?
70
4:5
18
An infinite set.

22. 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?
The overlapping sections.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
0
500

23. How to determine percent decrease?
(amount of decrease/original price) x 100%
Two (Ø×2=Ø)
Subtract them. i.e (5^7)/(5^3)= 5^4
(distance)/(rate) d/r

24. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
y = (x + 5)/2
(2x7)³
87.5%

25. 6w^2 - w - 15 = 0
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)
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...
3/2 - 5/3
Sum of digits is a multiple of 3 and the last digit is even.

26. 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?
360/n
y = 2x^2 - 3
4096
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

27. 25/2³
2²
An arc is a portion of a circumference of a circle.
The longest arc between points A and B on a circle'S diameter.
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.

28. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
28
A 30-60-90 triangle.
1/x
3

29. Define a 'monomial'
A²+b²=c²
87.5%
An expression with just one term (-6x - 2a^2)
1

30. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
Members or elements
an angle that is less than 90°
441000 = 1 10 10 10 21 * 21

31. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
55%
1/a^6
Ø Ø=Ø

32. -3³
27
70
Two (Ø×2=Ø)
Sum of digits is a multiple of 3 and the last digit is even.

33. 3/8 in percent?
20.5
90
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
37.5%

34. How to recognize a # as a multiple of 4
(a - b)^2
9
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.)
12! / 5!7! = 792

35. When does a function automatically have a restricted domain (2)?
23 - 29
441000 = 1 10 10 10 21 * 21
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Reciprocal

36. The negative exponent x?n is equivalent to what?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
x²-y²
A multiple of every integer
360°

37. formula for distance problems
Null
10
Distance=rate×time or d=rt
Ø

38. Evaluate 4/11 + 11/12
1 & 37/132
75:11
3
Null

39. If a is negative and n is even then an is (positive or negative?)
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.)
(b + c)
Sum of digits is a multiple of 3 and the last digit is even.
An is positive

40. Number of degrees in a triangle
1:1:sqrt2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
13
180

41. (x^2)^4
The empty set - denoted by a circle with a diagonal through it.
x^(2(4)) =x^8 = (x^4)^2
An arc is a portion of a circumference of a circle.
72

42. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Triangles with same measure and same side lengths.
12! / 5!7! = 792
x^(6-3) = x^3

43. x^2 = 9. What is the value of x?
18
500
(a - b)(a + b)
3 - -3

44. For any number x
(n-2) x 180
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.)
(a - b)^2
Can be negative - zero - or positive

45. What is the sum of the angles of a triangle?
6
180 degrees
9 & 6/7
An expression with just one term (-6x - 2a^2)

46. Slope
M
Distance=rate×time or d=rt
The objects within a set.
y2-y1/x2-x1

47. Area of a circle
C = 2(pi)r
(pi)r²
Ø=P(E)=1
360/n

48. Ø is
$11 -448
x²-2xy+y²
A multiple of every integer
441000 = 1 10 10 10 21 * 21

49. (x-y)(x+y)
Undefined - because we can'T divide by 0.
Ab-ac
x²-y²
Reciprocal

50. In a Regular Polygon - the measure of each exterior angle
360/n
NOT A PRIME
1 & 37/132
Ab-ac