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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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 product of any number x and its reciprocal
1
180°
A central angle is an angle formed by 2 radii.
3

2. 10<all primes<20
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)
11 - 13 - 17 - 19
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
48

3. (a^-1)/a^5
1:sqrt3:2
53 - 59
1/a^6
1

4. If a is inversely porportional to b - what does it equal?
The empty set - denoted by a circle with a diagonal through it.
Ab=k (k is a constant)
A reflection about the origin.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

5. x^4 + x^7 =
72
(n-2) x 180
x^(4+7) = x^11
61 - 67

6. 4.809 X 10^7 =
.0004809 X 10^11
27^(-4)
The sum of the digits is a multiple of 9.
A-b is negative

7. How to recognize a # as a multiple of 9
Sector area = (n/360) X (pi)r^2
(length)(width)(height)
The sum of the digits is a multiple of 9.
angle that is greater than 90° but less than 180°

8. In a Regular Polygon - the measure of each exterior angle
1
23 - 29
360/n
62.5%

9. The perimeter of a square is 48 inches. The length of its diagonal is:
67 - 71 - 73
Its divisible by 2 and by 3.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
12sqrt2

10. Circumference of a Circle
EVEN
Its last two digits are divisible by 4.
C=2 x pi x r OR pi x D
27

11. What is the name of set with a number of elements which cannot be counted?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Every number
An infinite set.

12. 30< all primes<40
31 - 37
1:sqrt3:2
V=side³
The steeper the slope.

13. What is the graph of f(x) shifted left c units or spaces?
75:11
F(x + c)
x²+2xy+y²
A grouping of the members within a set based on a shared characteristic.

14. Simplify the expression (p^2 - q^2)/ -5(q - p)
1:1:sqrt2
Positive or Negative
Lies opposite the greater angle
(p + q)/5

15. Describe the relationship between the graphs of x^2 and (1/2)x^2
Every number
The second graph is less steep.
10! / 3!(10-3)! = 120
The set of output values for a function.

16. What is a major arc?

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17. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
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)
Cd
A reflection about the axis.
The union of A and B.

18. -3³
1 & 37/132
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Diameter(Pi)
27

19. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4.25 - 6 - 22
4:5
3/2 - 5/3
2(pi)r

20. The Perimeter of a rectangle
.0004809 X 10^11
P=2(l+w)
A chord is a line segment joining two points on a circle.
D/t (distance)/(time)

21. What is the 'Solution' for a system of linear equations?
1 - P(E)
The point of intersection of the systems.
1
The sum of digits is divisible by 9.

22. The only number that is equal to its opposite
Ø Ø=Ø
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
83.333%
Add them. i.e. (5^7) * (5^3) = 5^10

23. Evaluate 4/11 + 11/12
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.
55%
1 & 37/132
V=side³

24. Formula for the area of a circle?
7 / 1000
an angle that is less than 90°
A = pi(r^2)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

25. 30 60 90
P(E) = number of favorable outcomes/total number of possible outcomes
The longest arc between points A and B on a circle'S diameter.
D/t (distance)/(time)
3x - 4x - 5x

26. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Yes - like radicals can be added/subtracted.
360°
2 & 3/7
Reciprocal

27. For any number x
Can be negative - zero - or positive
Indeterminable.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Infinite.

28. What is the sum of the angles of a triangle?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Distance=rate×time or d=rt
1.0843 X 10^11
180 degrees

29. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
F(x) - c
An arc is a portion of a circumference of a circle.
1.7

30. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
26
1 & 37/132
$11 -448
9 & 6/7

31. Simplify the expression [(b^2 - c^2) / (b - c)]
1/a^6
Add them. i.e. (5^7) * (5^3) = 5^10
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.
(b + c)

32. What is an isoceles triangle?
1
x^(2(4)) =x^8 = (x^4)^2
Two equal sides and two equal angles.
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)

33. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
An angle which is supplementary to an interior angle.
23 - 29
A²+b²=c²

34. a(b-c)
A tangent is a line that only touches one point on the circumference of a circle.
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)
Its last two digits are divisible by 4.
Ab-ac

35. What are 'Supplementary angles?'
1
Two angles whose sum is 180.
A²+b²=c²
Two equal sides and two equal angles.

36. What is the 'Range' of a function?
2.592 kg
The set of output values for a function.
The longest arc between points A and B on a circle'S diameter.
EVEN

37. When multiplying exponential #s with the same base - you do this to the exponents...
Right
(a + b)^2
Add them. i.e. (5^7) * (5^3) = 5^10
The objects within a set.

38. Whats the difference between factors and multiples?
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.
13
87.5%
Factors are few - multiples are many.

39. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
C = (pi)d
8
Even
F(x + c)

40. If a product of two numbers is Ø - one number must be
True
2
Ø
67 - 71 - 73

41. How to determine percent decrease?
Lies opposite the greater angle
5 OR -5
(amount of decrease/original price) x 100%
67 - 71 - 73

42. The Perimeter of a Square
(p + q)/5
P=4s (s=side)
x²-2xy+y²
The set of elements which can be found in either A or B.

43. Pi is a ratio of what to what?

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44. Probability of an Event
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
P(E) = number of favorable outcomes/total number of possible outcomes
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
2²

45. Reduce: 4.8 : 0.8 : 1.6
71 - 73 - 79
6 : 1 : 2
D=rt so r= d/t and t=d/r
C=2 x pi x r OR pi x D

46. Acute Angle
The overlapping sections.
an angle that is less than 90°
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1:1:sqrt2

47. 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?
13pi / 2
10! / 3!(10-3)! = 120
$11 -448
The set of elements found in both A and B.

48. 2³×7³
(2x7)³
360°
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+y)(x+y)

49. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
A+c<b+c
Even
2.592 kg

50. 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
The set of input values for a function.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Parallelogram

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GRE Math: All In One

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