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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. 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?
Sum of digits is a multiple of 3 and the last digit is even.
Undefined
9 : 25
3 - -3

2. What is a central angle?
A central angle is an angle formed by 2 radii.
27^(-4)
6 : 1 : 2
x²+2xy+y²

3. An Angle that'S 180°
y2-y1/x2-x1
(length)(width)(height)
180°
Straight Angle

4. b¹
A multiple of every integer
1
(pi)r²
Straight Angle

5. When multiplying exponential #s with the same base - you do this to the exponents...
A central angle is an angle formed by 2 radii.
1
Add them. i.e. (5^7) * (5^3) = 5^10
1

6. How many 3-digit positive integers are even and do not contain the digit 4?
Sum of digits is a multiple of 3 and the last digit is even.
Ø=P(E)=1
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
288 (8 9 4)

7. Time
(distance)/(rate) d/r
The set of output values for a function.
y = (x + 5)/2
360/n

8. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Can be negative - zero - or positive
3
1.0843 X 10^11

9. 1 is a divisor of
Every number
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)
6 : 1 : 2
P(E) = ø

10. What is the set of elements which can be found in either A or B?
x^(2(4)) =x^8 = (x^4)^2
The union of A and B.
1:1:sqrt2
B?b?b (where b is used as a factor n times)

11. Evaluate (4^3)^2
288 (8 9 4)
12sqrt2
Relationship cannot be determined (what if x is negative?)
4096

12. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
Even
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
26

13. What is an arc of a circle?
31 - 37
1
An arc is a portion of a circumference of a circle.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

14. Simplify the expression (p^2 - q^2)/ -5(q - p)
x^(2(4)) =x^8 = (x^4)^2
(p + q)/5
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1

15. A number is divisible by 3 if ...
ODD number
3
The sum of its digits is divisible by 3.
Positive or Negative

16. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
4.25 - 6 - 22
The longest arc between points A and B on a circle'S diameter.
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...

17. What is the maximum value for the function g(x) = (-2x^2) -1?
1
2.592 kg
F(x) - c
= (actual decrease/Original amount) x 100%

18. 20<all primes<30
23 - 29
4:5
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The two xes after factoring.

19. 7/8 in percent?
61 - 67
M= (Y1-Y2)/(X1-X2)
87.5%
53 - 59

20. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
Negative
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)
360°
N! / (n-k)!

21. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
26
53 - 59
NOT A PRIME

22. a(b-c)
360°
Ab-ac
90pi
5

23. (x^2)^4
18
Parallelogram
x^(2(4)) =x^8 = (x^4)^2
23 - 29

24. Slope of any line that goes down as you move from left to right is
The two xes after factoring.
Negative
72
An is positive

25. factored binomial product of (x-y)²
Even
x²-2xy+y²
$3 -500 in the 9% and $2 -500 in the 7%.
an angle that is less than 90°

26. What is the empty set?
N! / (n-k)!
(a - b)^2
10
A set with no members - denoted by a circle with a diagonal through it.

27. Formula to find a circle'S circumference from its diameter?
The objects within a set.
C = (pi)d
angle that is greater than 90° but less than 180°
D=rt so r= d/t and t=d/r

28. Pythagorean theorem
A+c<b+c
A²+b²=c²
5 OR -5
6 : 1 : 2

29. Ø divided by 7
2²
Ø
N! / (k!)(n-k)!
1:1:sqrt2

30. What is an exterior angle?
(b + c)
An isosceles right triangle.
Cd
An angle which is supplementary to an interior angle.

31. What is a finite set?
A set with a number of elements which can be counted.
An infinite set.
x^(6-3) = x^3
C = 2(pi)r

32. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
A multiple of every integer
A+c<b+c
2sqrt6
Lies opposite the greater angle

33. (x+y)²
M= (Y1-Y2)/(X1-X2)
The interesection of A and B.
1/a^6
x²+2xy+y²

34. 5x^2 - 35x -55 = 0
13pi / 2
1.7
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(a - b)^2

35. If Event is impossible
P(E) = ø
The interesection of A and B.
The union of A and B.
... the square of the ratios of the corresponding sides.

36. What is a set with no members called?
1/a^6
1.7
The empty set - denoted by a circle with a diagonal through it.
A²+b²=c²

37. 10^6 has how many zeroes?
6
The point of intersection of the systems.
A=pi*(r^2)
9 & 6/7

38. How to determine percent decrease?
A percent is a fraction whose denominator is 100.
The point of intersection of the systems.
(amount of decrease/original price) x 100%
1/x

39. a>b then a - b is positive or negative?
A = pi(r^2)
Relationship cannot be determined (what if x is negative?)
Ø=P(E)=1
A-b is positive

40. Ø is
= (actual decrease/Original amount) x 100%
90pi
The sum of digits is divisible by 9.
Even

41. If E is certain
P(E) = 1/1 = 1
1/x
(2x7)³
Ø

42. (x-y)(x+y)
Parallelogram
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
4:5
x²-y²

43. a^2 - 2ab + b^2
27^(-4)
An is positive
(a - b)^2
6

44. What is the name of set with a number of elements which cannot be counted?
An infinite set.
(a - b)^2
1:1:sqrt2
The second graph is less steep.

45. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
The sum of its digits is divisible by 3.
Ab+ac
The steeper the slope.

46. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
4.25 - 6 - 22
A set with a number of elements which can be counted.
Two (Ø×2=Ø)

47. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Edge³
The shortest arc between points A and B on a circle'S diameter.
A reflection about the origin.

48. How do you solve proportions? a/b=c/d
The objects within a set.
Even
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
12sqrt2

49. The important properties of a 45-45-90 triangle?
M
x^(6-3) = x^3
= (actual decrease/Original amount) x 100%
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.

50. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
The set of output values for a function.
4:5
18
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]