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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. Ø is a multiple of
Undefined - because we can'T divide by 0.
C=2 x pi x r OR pi x D
Two (Ø×2=Ø)
2sqrt6

2. Write 10 -843 X 10^7 in scientific notation
V=side³
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1.0843 X 10^11
A-b is positive

3. 1/8 in percent?
12.5%
C = (pi)d
83.333%
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

4. Simplify 9^(1/2) X 4^3 X 2^(-6)?
12! / 5!7! = 792
1:sqrt3:2
3
4096

5. To decrease a number by x%
Cd
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A<-b
3/2 - 5/3

6. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
Undefined
5 OR -5
26

7. For any number x
... the square of the ratios of the corresponding sides.
Can be negative - zero - or positive
An isosceles right triangle.
28. n = 8 - k = 2. n! / k!(n-k)!

8. Convert 0.7% to a fraction.
1/a^6
13pi / 2
7 / 1000
The two xes after factoring.

9. a^2 - b^2
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Two equal sides and two equal angles.
180°
(a - b)(a + b)

10. What is the name of set with a number of elements which cannot be counted?
Ø
360°
1.0843 X 10^11
An infinite set.

11. 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.
3
P= 2L + 2w
6

12. Evaluate 4/11 + 11/12
A-b is negative
1 & 37/132
The interesection of A and B.
27

13. Circumference of a circle
A set with a number of elements which can be counted.
$3 -500 in the 9% and $2 -500 in the 7%.
2(pi)r
1

14. 1/Ø=null If a>b then
11 - 13 - 17 - 19
5 - 12 - 13
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A<-b

15. In a Rectangle - each angles measures
288 (8 9 4)
90°
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
y = (x + 5)/2

16. Consecutive integers
(n-2) x 180
27
1
x - x+1 - x+2

17. Pythagorean theorem
Indeterminable.
87.5%
The steeper the slope.
A²+b²=c²

18. 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
10! / 3!(10-3)! = 120
441000 = 1 10 10 10 21 * 21
Do not have slopes!

19. Ø²
The set of elements found in both A and B.
Ø
A reflection about the origin.
angle that is greater than 90° but less than 180°

20. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
Infinite.
(b + c)
x^(4+7) = x^11
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.

21. Legs 6 - 8. Hypotenuse?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Pi(diameter)
1 - P(E)
10

22. Area of a Parallelogram:
A reflection about the origin.
A=(base)(height)
V=l×w×h
Pi(diameter)

23. To multiply a number by 10^x
Move the decimal point to the right x places
C=2 x pi x r OR pi x D
The steeper the slope.
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...

24. What is the 'union' of A and B?
A subset.
Negative
5 - 12 - 13
The set of elements which can be found in either A or B.

25. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A percent is a fraction whose denominator is 100.
NOT A PRIME
1

26. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
An is positive
1 - P(E)
3

27. 30< all primes<40
No - only like radicals can be added.
31 - 37
x^(6-3) = x^3
The second graph is less steep.

28. Describe the relationship between the graphs of x^2 and (1/2)x^2
The direction of the inequality is reversed.
The second graph is less steep.
Ab+ac
The set of elements found in both A and B.

29. What is the graph of f(x) shifted downward c units or spaces?
500
F(x) - c
61 - 67
x²-y²

30. What are 'Supplementary angles?'
10! / 3!(10-3)! = 120
Two angles whose sum is 180.
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)
= (actual decrease/Original amount) x 100%

31. What percent of 40 is 22?
90pi
The set of input values for a function.
55%
62.5%

32. Find distance when given time and rate
D=rt so r= d/t and t=d/r
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
x - x+1 - x+2
Lies opposite the greater angle

33. What is the order of operations?
A reflection about the origin.
0
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
27

34. Obtuse Angle
(a + b)^2
angle that is greater than 90° but less than 180°
Two angles whose sum is 90.
x - x(SR3) - 2x

35. Evaluate 3& 2/7 / 1/3
Add them. i.e. (5^7) * (5^3) = 5^10
Infinite.
360/n
9 & 6/7

36. 30 60 90
Ab+ac
x - x(SR3) - 2x
V=side³
M

37. a^2 + 2ab + b^2
Ø Ø=Ø
Its divisible by 2 and by 3.
(a + b)^2
Negative

38. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
27
Edge³
An is positive
2 & 3/7

39. Slope of any line that goes down as you move from left to right is
Positive or Negative
(n-2) x 180
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Negative

40. the slope of a line in y=mx+b
M
12! / 5!7! = 792
9
F(x) + c

41. -3²
9
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.
2 & 3/7
Ab+ac

42. 30 60 90
3x - 4x - 5x
Ø
N! / (n-k)!
Null

43. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
90°
1
12! / 5!7! = 792
Relationship cannot be determined (what if x is negative?)

44. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
23 - 29
The set of output values for a function.
Ø

45. Factor a^2 + 2ab + b^2
Ø Ø=Ø
(a + b)^2
x²-2xy+y²
M

46. 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?
Parallelogram
441000 = 1 10 10 10 21 * 21
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
The overlapping sections.

47. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
(n-2) x 180
Ø
Null

48. Ø is
Even
5
Negative
Negative

49. 10<all primes<20
The second graph is less steep.
11 - 13 - 17 - 19
The direction of the inequality is reversed.
The longest arc between points A and B on a circle'S diameter.

50. 5/8 in percent?
Ab+ac
Diameter(Pi)
x²-2xy+y²
62.5%