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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. The important properties of a 45-45-90 triangle?
1
2.592 kg
Undefined
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.

2. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
A= (1/2) b*h
1.7
Negative

3. Legs 5 - 12. Hypotenuse?
12.5%
(b + c)
13
ODD number

4. If E is certain
P(E) = 1/1 = 1
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...
(x+y)(x+y)
Sum of digits is a multiple of 3 and the last digit is even.

5. Simplify the expression [(b^2 - c^2) / (b - c)]
C = (pi)d
Its last two digits are divisible by 4.
A = pi(r^2)
(b + c)

6. 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?
0
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
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A=pi*(r^2)

7. 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
A = length x width
11 - 13 - 17 - 19
18
A central angle is an angle formed by 2 radii.

8. What is the measure of an exterior angle of a regular pentagon?
1/x
... the square of the ratios of the corresponding sides.
The greatest value minus the smallest.
72

9. -3²
9
500
A-b is positive
$3 -500 in the 9% and $2 -500 in the 7%.

10. What is the 'Range' of a function?
360°
The interesection of A and B.
180
The set of output values for a function.

11. Formula to find a circle'S circumference from its diameter?
52
(a + b)^2
C = (pi)d
A = length x width

12. Vertical lines
Positive
Arc length = (n/360) x pi(2r) where n is the number of degrees.
9 & 6/7
Do not have slopes!

13. 30 60 90
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
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.)
5 - 12 - 13
3

14. A quadrilateral where two diagonals bisect each other
Ø
31 - 37
y2-y1/x2-x1
Parallelogram

15. Whats the difference between factors and multiples?
Straight Angle
Factors are few - multiples are many.
180
5 OR -5

16. 3/8 in percent?
37.5%
2(pi)r
13pi / 2
61 - 67

17. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Ab=k (k is a constant)
2
53 - 59
The empty set - denoted by a circle with a diagonal through it.

18. 1/Ø=null If a>b then
Null
A<-b
ODD number
1/2 times 7/3

19. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
V=Lwh
an angle that is less than 90°
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

20. a(b-c)
Ab-ac
Sum of digits is a multiple of 3 and the last digit is even.
Add them. i.e. (5^7) * (5^3) = 5^10
13

21. Pythagorean theorem
41 - 43 - 47
1
A²+b²=c²
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

22. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
P=2(l+w)
x - x(SR3) - 2x
1

23. What are 'Supplementary angles?'
Two angles whose sum is 180.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
0
26

24. Factor a^2 + 2ab + b^2
5 OR -5
(a + b)^2
y/x is a constant
The greatest value minus the smallest.

25. 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?
A=pi*(r^2)
10! / (10-3)! = 720
A set with no members - denoted by a circle with a diagonal through it.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

26. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
41 - 43 - 47
A²+b²=c²
67 - 71 - 73

27. the slope of a line in y=mx+b
1 - P(E)
M
(length)(width)(height)
Can be negative - zero - or positive

28. b¹
1
The set of elements found in both A and B.
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=½bh

29. If an inequality is multiplied or divided by a negative number....
Two angles whose sum is 180.
1/2 times 7/3
The direction of the inequality is reversed.
All numbers multiples of 1.

30. What is the ratio of the sides of an isosceles right triangle?
13pi / 2
1/x
1:1:sqrt2
1:sqrt3:2

31. If a is inversely porportional to b - what does it equal?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A chord is a line segment joining two points on a circle.
360/n
Ab=k (k is a constant)

32. Ø²
(a - b)(a + b)
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...
Ø
An isosceles right triangle.

33. 6w^2 - w - 15 = 0
27^(-4)
1
3/2 - 5/3
A = length x width

34. Circumference of a circle
The objects within a set.
3 - -3
2(pi)r
$11 -448

35. What is a subset?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A grouping of the members within a set based on a shared characteristic.
0
Two angles whose sum is 90.

36. a^0 =
An arc is a portion of a circumference of a circle.
1
31 - 37
8

37. the measure of a straight angle
y = 2x^2 - 3
500
180°
55%

38. 1n
The two xes after factoring.
1
1 & 37/132
55%

39. If a lamp decreases to $80 - from $100 - what is the decrease in price?
10! / 3!(10-3)! = 120
A+c<b+c
Indeterminable.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

40. (2²)³
Diameter(Pi)
26
1 - P(E)
V=Lwh

41. A number is divisible by 9 if...
A = pi(r^2)
x^(6-3) = x^3
62.5%
The sum of digits is divisible by 9.

42. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
62.5%
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...
2sqrt6
1 & 37/132

43. What is the maximum value for the function g(x) = (-2x^2) -1?
7 / 1000
V=l×w×h
Do not have slopes!
1

44. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
75:11
4:5
D=rt so r= d/t and t=d/r
90

45. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
1/2 times 7/3
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

46. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
The set of elements which can be found in either A or B.
13pi / 2
Even
2^9 / 2 = 256

47. How many multiples does a given number have?
A tangent is a line that only touches one point on the circumference of a circle.
9 : 25
Infinite.
28

48. factored binomial product of (x+y)²
90pi
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
2^9 / 2 = 256
x²+2xy+y²

49. How to determine percent decrease?
(x+y)(x+y)
(amount of decrease/original price) x 100%
(a - b)^2
The sum of the digits is a multiple of 9.

50. Area of a rectangle
A = length x width
Lies opposite the greater angle
An arc is a portion of a circumference of a circle.
Even