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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 the name of set with a number of elements which cannot be counted?
y = (x + 5)/2
X
A = length x width
An infinite set.

2. If a lamp increases from $80 to $100 - what is the percent increase?
441000 = 1 10 10 10 21 * 21
A subset.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Positive

3. Simplify 9^(1/2) X 4^3 X 2^(-6)?
6
Ø=P(E)=1
All numbers multiples of 1.
3

4. Define a 'monomial'
1:1:sqrt2
An expression with just one term (-6x - 2a^2)
F(x + c)
Triangles with same measure and same side lengths.

5. What is an isoceles triangle?
A=pi*(r^2)
Two equal sides and two equal angles.
An is positive
Undefined - because we can'T divide by 0.

6. Slope
y2-y1/x2-x1
Pi(diameter)
Its last two digits are divisible by 4.
0

7. bn
(amount of decrease/original price) x 100%
180
B?b?b (where b is used as a factor n times)
Undefined

8. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Subtract them. i.e (5^7)/(5^3)= 5^4
$3 -500 in the 9% and $2 -500 in the 7%.
1/x

9. Area of a circle
P(E) = ø
A=pi*(r^2)
3x - 4x - 5x
360°

10. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
180°
The two xes after factoring.
Undefined - because we can'T divide by 0.

11. First 10 prime #s
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
0
A tangent is a line that only touches one point on the circumference of a circle.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

12. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Yes - like radicals can be added/subtracted.
1
Cd
A 30-60-90 triangle.

13. Area of a triangle?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(base*height) / 2
1 - P(E)
72

14. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
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.)
1/a^6
$11 -448
Arc length = (n/360) x pi(2r) where n is the number of degrees.

15. the slope of a line in y=mx+b
M
The union of A and B.
(2x7)³
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

16. What is the slope of a horizontal line?
The sum of digits is divisible by 9.
y = (x + 5)/2
Lies opposite the greater angle
0

17. Formula for the area of a sector of a circle?
A grouping of the members within a set based on a shared characteristic.
Sector area = (n/360) X (pi)r^2
1
360°

18. (6sqrt3) x (2sqrt5) =
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The set of output values for a function.
Its divisible by 2 and by 3.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

19. Solve the quadratic equation ax^2 + bx + c= 0
61 - 67
Negative
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A 30-60-90 triangle.

20. a^2 - 2ab + b^2
1.0843 X 10^11
A<-b
2²
(a - b)^2

21. 30 60 90
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.
3 - 4 - 5
X
A grouping of the members within a set based on a shared characteristic.

22. Legs 5 - 12. Hypotenuse?
13
1
M
A 30-60-90 triangle.

23. Positive integers that have exactly 2 positive divisors are
(amount of decrease/original price) x 100%
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
4725
Undefined

24. If a is positive - an is
Positive
31 - 37
Edge³
An expression with just one term (-6x - 2a^2)

25. What are the smallest three prime numbers greater than 65?
Ø Ø=Ø
67 - 71 - 73
1
Straight Angle

26. What is the sum of the angles of a triangle?
Two angles whose sum is 180.
The overlapping sections.
Even
180 degrees

27. What is the ratio of the sides of a 30-60-90 triangle?
Ø
1.0843 X 10^11
0
1:sqrt3:2

28. What is the empty set?
Even
A set with no members - denoted by a circle with a diagonal through it.
6 : 1 : 2
An infinite set.

29. Circumference of a Circle
70
C=2 x pi x r OR pi x D
500
83.333%

30. The sum of all angles around a point
360°
Two angles whose sum is 90.
Ø
F(x + c)

31. 30 60 90
1.7
x - x(SR3) - 2x
1
2.592 kg

32. Product of any number and Ø is
Undefined - because we can'T divide by 0.
Ø
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
1

33. What percent of 40 is 22?
P(E) = 1/1 = 1
55%
The shortest arc between points A and B on a circle'S diameter.
10

34. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
2²
1.7
1/x

35. Ø Is neither
x^(6-3) = x^3
180°
Positive or Negative
Reciprocal

36. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
$11 -448
(p + q)/5
x - x+1 - x+2

37. What is a central angle?
27^(-4)
Triangles with same measure and same side lengths.
27
A central angle is an angle formed by 2 radii.

38. What is an arc of a circle?
5 OR -5
37.5%
An arc is a portion of a circumference of a circle.
12.5%

39. a(b-c)
Be Zero!
Ab-ac
A 30-60-90 triangle.
A central angle is an angle formed by 2 radii.

40. What number between 70 & 75 - inclusive - has the greatest number of factors?
Even
(x+y)(x-y)
2^9 / 2 = 256
72

41. (2²)³
1.0843 X 10^11
The interesection of A and B.
The overlapping sections.
26

42. Area of a rectangle
(2x7)³
Factors are few - multiples are many.
2(pi)r
A = length x width

43. What is the graph of f(x) shifted upward c units or spaces?
1
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)
F(x) + c
The objects within a set.

44. Evaluate 4/11 + 11/12
1 & 37/132
(x+y)(x-y)
The point of intersection of the systems.
(pi)r²

45. Rate
41 - 43 - 47
62.5%
D/t (distance)/(time)
No - only like radicals can be added.

46. (x^2)^4
(base*height) / 2
x^(2(4)) =x^8 = (x^4)^2
x²-2xy+y²
12sqrt2

47. 20<all primes<30
9
The union of A and B.
23 - 29
x²+2xy+y²

48. How to recognize a multiple of 6
All numbers multiples of 1.
Right
Sum of digits is a multiple of 3 and the last digit is even.
90°

49. The larger the absolute value of the slope...
N! / (n-k)!
The steeper the slope.
angle that is greater than 90° but less than 180°
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

50. Which is greater? 27^(-4) or 9^(-8)
Ø
M
27^(-4)
F(x-c)