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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. 5x^2 - 35x -55 = 0
Two (Ø×2=Ø)
0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
70

2. 30 60 90
5 - 12 - 13
3 - 4 - 5
3
A multiple of every integer

3. In a Regular Polygon - the measure of each exterior angle
360/n
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
y = 2x^2 - 3
Even

4. What is a minor arc?

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5. binomial product of (x+y)²
(x+y)(x+y)
4725
8
28

6. Ø is
5 OR -5
6
Null
Even

7. (6sqrt3) x (2sqrt5) =
(a + b)^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
28
Null

8. What is an exterior angle?
= (actual decrease/Original amount) x 100%
The union of A and B.
An angle which is supplementary to an interior angle.
The sum of digits is divisible by 9.

9. 1/2 divided by 3/7 is the same as
Straight Angle
1/2 times 7/3
360°
Two equal sides and two equal angles.

10. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
13pi / 2
Two angles whose sum is 180.
Infinite.

11. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
10! / 3!(10-3)! = 120
The overlapping sections.
C = (pi)d
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

12. Probability of Event all cases
360°
Ø=P(E)=1
Pi(diameter)
1

13. What is the area of a regular hexagon with side 6?
M
Sector area = (n/360) X (pi)r^2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
x^(6-3) = x^3

14. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
Undefined - because we can'T divide by 0.
P(E) = number of favorable outcomes/total number of possible outcomes
(n-2) x 180

15. x^2 = 9. What is the value of x?
3 - -3
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
V=Lwh
(base*height) / 2

16. What is a subset?
A grouping of the members within a set based on a shared characteristic.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A multiple of every integer
A-b is positive

17. The sum of the angles in a quadrilateral is
1/2 times 7/3
The union of A and B.
360°
180°

18. How to determine percent decrease?
(amount of decrease/original price) x 100%
B?b?b (where b is used as a factor n times)
x(x - y + 1)
angle that is greater than 90° but less than 180°

19. 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/x
Ab+ac
An angle which is supplementary to an interior angle.
9 : 25

20. What is a set with no members called?
(a - b)^2
y2-y1/x2-x1
360/n
The empty set - denoted by a circle with a diagonal through it.

21. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
(length)(width)(height)
The empty set - denoted by a circle with a diagonal through it.
1
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

22. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
angle that is greater than 90° but less than 180°
23 - 29
Its last two digits are divisible by 4.

23. 1/8 in percent?
0
12.5%
The sum of the digits is a multiple of 9.
Null

24. 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)]?
1
True
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.
A= (1/2) b*h

25. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
A chord is a line segment joining two points on a circle.
An angle which is supplementary to an interior angle.
3

26. b¹
1
D/t (distance)/(time)
$11 -448
A tangent is a line that only touches one point on the circumference of a circle.

27. To increase a number by x%
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.)
26
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
x²+2xy+y²

28. Ø is
10! / (10-3)! = 720
A multiple of every integer
3/2 - 5/3
180°

29. What is the 'domain' of a function?
C = 2(pi)r
The set of input values for a function.
1/x
4:5

30. 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
A natural number greater than 1 that has no positive divisors other than 1 and itself
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
N! / (k!)(n-k)!

31. formula for volume of a rectangular solid
Move the decimal point to the right x places
A grouping of the members within a set based on a shared characteristic.
V=l×w×h
Two equal sides and two equal angles.

32. Important properties of a 30-60-90 triangle?
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
13
V=l×w×h
x²+2xy+y²

33. Obtuse Angle
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...
angle that is greater than 90° but less than 180°
D/t (distance)/(time)
The greatest value minus the smallest.

34. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A²+b²=c²
A 30-60-90 triangle.
2 & 3/7

35. Circumference of a circle
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
48
Pi(diameter)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

36. To multiply a number by 10^x
(x+y)(x+y)
A central angle is an angle formed by 2 radii.
x²-2xy+y²
Move the decimal point to the right x places

37. The reciprocal of any non-zero number is
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
3 - -3
1/x
An angle which is supplementary to an interior angle.

38. (12sqrt15) / (2sqrt5) =
Positive or Negative
C = (pi)d
N! / (n-k)!
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

39. 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?
D/t (distance)/(time)
75:11
N! / (k!)(n-k)!
A-b is negative

40. Can you add sqrt 3 and sqrt 5?
Even
A multiple of every integer
Do not have slopes!
No - only like radicals can be added.

41. (2²)³
1
26
Yes - like radicals can be added/subtracted.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

42. What is the set of elements found in both A and B?
The interesection of A and B.
D=rt so r= d/t and t=d/r
360°
12.5%

43. How to recognize a # as a multiple of 3
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)
1
The interesection of A and B.
4:5

44. a<b then a - b is positive or negative?
Members or elements
A-b is negative
Ø
The steeper the slope.

45. A number is divisible by 4 is...
A²+b²=c²
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
48
Its last two digits are divisible by 4.

46. Ø is a multiple of
Two (Ø×2=Ø)
3
The steeper the slope.
3/2 - 5/3

47. What is the empty set?
An is positive
A set with no members - denoted by a circle with a diagonal through it.
Two angles whose sum is 90.
500

48. What is the name of set with a number of elements which cannot be counted?
An infinite set.
The interesection of A and B.
360°
y = 2x^2 - 3

49. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Ab+ac
2 & 3/7
2.592 kg
= (actual decrease/Original amount) x 100%

50. In a rectangle - all angles are
(a - b)(a + b)
M
Right
y = 2x^2 - 3