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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 'Range' of a function?
Pi(diameter)
Two angles whose sum is 90.
The set of output values for a function.
360/n

2. What is the set of elements found in both A and B?
1
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Can be negative - zero - or positive
The interesection of A and B.

3. Slope of any line that goes down as you move from left to right is
Negative
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)
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)
1

4. (2²)³
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.
Negative
A=½bh
26

5. 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
27^(-4)
72
x²-y²

6. Acute Angle
Relationship cannot be determined (what if x is negative?)
an angle that is less than 90°
Yes - like radicals can be added/subtracted.
A natural number greater than 1 that has no positive divisors other than 1 and itself

7. Pi is a ratio of what to what?

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8. When dividing exponential #s with the same base - you do this to the exponents...
3x - 4x - 5x
Subtract them. i.e (5^7)/(5^3)= 5^4
9
y = 2x^2 - 3

9. a(b+c)
441000 = 1 10 10 10 21 * 21
Ab+ac
An isosceles right triangle.
No - only like radicals can be added.

10. P and r are factors of 100. What is greater - pr or 100?
5
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(amount of decrease/original price) x 100%
Indeterminable.

11. The product of odd number of negative numbers
EVEN
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
B?b?b (where b is used as a factor n times)
Negative

12. Simplify the expression [(b^2 - c^2) / (b - c)]
(a - b)(a + b)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(b + c)

13. 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?
P(E) = ø
7 / 1000
x²-y²
10! / 3!(10-3)! = 120

14. How to determine percent decrease?
(amount of decrease/original price) x 100%
13pi / 2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
18

15. 1 is an
1/2 times 7/3
ODD number
x²-2xy+y²
(amount of decrease/original price) x 100%

16. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
V=l×w×h
A reflection about the origin.
360/n
An isosceles right triangle.

17. 70 < all primes< 80
71 - 73 - 79
Pi(diameter)
C = (pi)d
9 & 6/7

18. If a lamp increases from $80 to $100 - what is the percent increase?
zero
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
71 - 73 - 79
31 - 37

19. 50 < all primes< 60
1
53 - 59
The set of elements which can be found in either A or B.
Members or elements

20. the measure of a straight angle
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.
180°
The set of elements which can be found in either A or B.
(2x7)³

21. First 10 prime #s
1:1:sqrt2
The sum of digits is divisible by 9.
87.5%
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

22. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
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 = length x width
23 - 29

23. binomial product of (x-y)²
(distance)/(rate) d/r
Ø
(x+y)(x-y)
90pi

24. Important properties of a 30-60-90 triangle?
V=l×w×h
y2-y1/x2-x1
A percent is a fraction whose denominator is 100.
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

25. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The sum of the digits is a multiple of 9.

26. Find the surface area of a cylinder with radius 3 and height 12.
Positive or Negative
Undefined - because we can'T divide by 0.
A+c<b+c
90pi

27. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
A=pi*(r^2)
The sum of digits is divisible by 9.
1/a^6
2

28. a(b-c)
7 / 1000
Ab-ac
16.6666%
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

29. 25/2³
2²
(a - b)(a + b)
9 : 25
2

30. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
1:1:sqrt2
(2x7)³
5

31. If the two sides of a triangle are unequal then the longer side.................
130pi
A-b is negative
Lies opposite the greater angle
441000 = 1 10 10 10 21 * 21

32. 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?
360°
9 : 25
4a^2(b)
C = 2(pi)r

33. Formula to find a circle'S circumference from its diameter?
y/x is a constant
C = (pi)d
P=4s (s=side)
A = length x width

34. Probability of E not occurring:
Pi(diameter)
1 - P(E)
x²-y²
2sqrt6

35. What is the measure of an exterior angle of a regular pentagon?
71 - 73 - 79
72
12.5%
180°

36. To increase a number by x%
The two xes after factoring.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(2x7)³
83.333%

37. 7 divided by Ø
Its last two digits are divisible by 4.
(base*height) / 2
Lies opposite the greater angle
Null

38. What is the ratio of the sides of an isosceles right triangle?
A subset.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
16.6666%
1:1:sqrt2

39. A number is divisible by 4 is...
5
Reciprocal
Its last two digits are divisible by 4.
90°

40. 5x^2 - 35x -55 = 0
(x+y)(x-y)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A = length x width
P= 2L + 2w

41. (a^-1)/a^5
10
The union of A and B.
1/a^6
1/x

42. Solve the quadratic equation ax^2 + bx + c= 0
6 : 1 : 2
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)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The union of A and B.

43. the slope of a line in y=mx+b
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
M
x^(2(4)) =x^8 = (x^4)^2
1

44. 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?
27^(-4)
0
75:11
P=4s (s=side)

45. 2 is the only
Even prime number
x²+2xy+y²
83.333%
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

46. Find distance when given time and rate
Ø
87.5%
.0004809 X 10^11
D=rt so r= d/t and t=d/r

47. How many 3-digit positive integers are even and do not contain the digit 4?
10! / 3!(10-3)! = 120
D=rt so r= d/t and t=d/r
288 (8 9 4)
C = (pi)d

48. 8.84 / 5.2
A reflection about the axis.
1.7
A = pi(r^2)
... the square of the ratios of the corresponding sides.

49. What is the 'domain' of a function?
EVEN
Cd
6 : 1 : 2
The set of input values for a function.

50. If E is certain
P(E) = 1/1 = 1
Diameter(Pi)
The second graph is less steep.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225