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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 graph of f(x) shifted left c units or spaces?
72
F(x + c)
V=side³
67 - 71 - 73

2. Reduce: 4.8 : 0.8 : 1.6
Subtract them. i.e (5^7)/(5^3)= 5^4
180°
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
6 : 1 : 2

3. What are complementary angles?
90°
Two angles whose sum is 90.
A=½bh
.0004809 X 10^11

4. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Positive
8
Even
3x - 4x - 5x

5. Formula to find a circle'S circumference from its radius?
The point of intersection of the systems.
Ø=P(E)=1
.0004809 X 10^11
C = 2(pi)r

6. Factor a^2 + 2ab + b^2
28
(n-2) x 180
P(E) = 1/1 = 1
(a + b)^2

7. 20<all primes<30
2.592 kg
23 - 29
Ab-ac
(n-2) x 180

8. Volume of a cube
83.333%
180
Edge³
130pi

9. If a lamp decreases to $80 - from $100 - what is the decrease in price?
Two equal sides and two equal angles.
(a - b)(a + b)
Straight Angle
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

10. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
1:1:sqrt2
An expression with just one term (-6x - 2a^2)
Pi(diameter)

11. If a is inversely porportional to b - what does it equal?
Negative
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Ab=k (k is a constant)
N! / (n-k)!

12. 0^0
Negative
Undefined
2^9 / 2 = 256
Even prime number

13. 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))?
A tangent is a line that only touches one point on the circumference of a circle.
P=2(l+w)
20.5
4:5

14. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
A²+b²=c²
Even
Undefined

15. What is the 'Solution' for a system of linear equations?
360°
130pi
The point of intersection of the systems.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

16. Obtuse Angle
angle that is greater than 90° but less than 180°
Arc length = (n/360) x pi(2r) where n is the number of degrees.
2 & 3/7
Ab=k (k is a constant)

17. 1/2 divided by 3/7 is the same as
an angle that is less than 90°
Even prime number
1/2 times 7/3
The steeper the slope.

18. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
1
Triangles with same measure and same side lengths.
9 : 25
N! / (n-k)!

19. Rate
Ø Ø=Ø
D/t (distance)/(time)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a + b)^2

20. 60 < all primes <70
C=2 x pi x r OR pi x D
61 - 67
F(x) - c
12sqrt2

21. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
1
90
288 (8 9 4)

22. a^2 - b^2
500
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
P= 2L + 2w
(a - b)(a + b)

23. Circumference of a Circle
A set with no members - denoted by a circle with a diagonal through it.
C=2 x pi x r OR pi x D
Distance=rate×time or d=rt
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

24. Which is greater? 64^5 or 16^8
Diameter(Pi)
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.)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A multiple of every integer

25. a^2 - b^2 =
(a - b)(a + b)
Positive or Negative
1:sqrt3:2
4096

26. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
Subtract them. i.e (5^7)/(5^3)= 5^4
3
$3 -500 in the 9% and $2 -500 in the 7%.

27. In a rectangle - all angles are
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Right
EVEN
The set of elements found in both A and B.

28. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
P=4s (s=side)
2(pi)r
A reflection about the origin.
Ab-ac

29. Can you subtract 3sqrt4 from sqrt4?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Yes - like radicals can be added/subtracted.
180°
P= 2L + 2w

30. If a product of two numbers is Ø - one number must be
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Ø
Even
P(E) = 1/1 = 1

31. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Null
Yes - like radicals can be added/subtracted.
(a - b)^2
90

32. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
True
The longest arc between points A and B on a circle'S diameter.
1 - P(E)
A reflection about the axis.

33. What is the graph of f(x) shifted upward c units or spaces?
Subtract them. i.e (5^7)/(5^3)= 5^4
500
F(x) + c
Two angles whose sum is 90.

34. 25+2³
Sum of digits is a multiple of 3 and the last digit is even.
The set of output values for a function.
P=2(l+w)
28

35. Whats the difference between factors and multiples?
Factors are few - multiples are many.
Can be negative - zero - or positive
(a - b)(a + b)
Right

36. 1 is the
Smallest positive integer
5 - 12 - 13
x²+2xy+y²
28. n = 8 - k = 2. n! / k!(n-k)!

37. What is the slope of a vertical line?

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38. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
F(x) - c
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
A chord is a line segment joining two points on a circle.

39. Find distance when given time and rate
4:5
EVEN
Pi is the ratio of a circle'S circumference to its diameter.
D=rt so r= d/t and t=d/r

40. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
10! / (10-3)! = 720
4096
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
(a + b)^2

41. What are the integers?
1
Ab-ac
All numbers multiples of 1.
Subtract them. i.e (5^7)/(5^3)= 5^4

42. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
A = pi(r^2)
P(E) = ø
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
2 & 3/7

43. What is an arc of a circle?
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
12! / 5!7! = 792
An arc is a portion of a circumference of a circle.
The empty set - denoted by a circle with a diagonal through it.

44. Probability of Event all cases
2
26
Ø=P(E)=1
y = (x + 5)/2

45. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
(amount of decrease/original price) x 100%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
N! / (k!)(n-k)!
An isosceles right triangle.

46. Any Horizontal line slope
11 - 13 - 17 - 19
Sum of digits is a multiple of 3 and the last digit is even.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
zero

47. 7/8 in percent?
P=4s (s=side)
87.5%
(a - b)^2
The union of A and B.

48. Find the surface area of a cylinder with radius 3 and height 12.
90pi
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
75:11
(base*height) / 2

49. What is the set of elements found in both A and B?
31 - 37
The interesection of A and B.
10! / (10-3)! = 720
13

50. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
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.)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a