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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. 1/6 in percent?
V=l×w×h
16.6666%
Positive or Negative
An is positive

2. Simplify the expression [(b^2 - c^2) / (b - c)]
1
Diameter(Pi)
72
(b + c)

3. The larger the absolute value of the slope...
Null
1
A central angle is an angle formed by 2 radii.
The steeper the slope.

4. 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
The objects within a set.
Every number
Negative
18

5. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
1:sqrt3:2
A grouping of the members within a set based on a shared characteristic.
2
6

6. Volume of a cube
(amount of decrease/original price) x 100%
Edge³
(a - b)(a + b)
2^9 / 2 = 256

7. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
A reflection about the axis.
Ab+ac
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)

8. Area of a circle
(x+y)(x+y)
9 & 6/7
A=pi*(r^2)
1

9. The product of any number x and its reciprocal
1
C=2 x pi x r OR pi x D
A grouping of the members within a set based on a shared characteristic.
Lies opposite the greater angle

10. If y is directly proportional to x - what does it equal?
No - only like radicals can be added.
y = 2x^2 - 3
y/x is a constant
P= 2L + 2w

11. 3 is the opposite of
3
F(x-c)
1
A chord is a line segment joining two points on a circle.

12. 25/2³
2²
A<-b
2^9 / 2 = 256
180 degrees

13. (x^2)^4
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
90pi
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
x^(2(4)) =x^8 = (x^4)^2

14. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
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 reflection about the axis.
A grouping of the members within a set based on a shared characteristic.
Two (Ø×2=Ø)

15. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
3/2 - 5/3
26
Ø Ø=Ø
70

16. Pythagorean theorem
The objects within a set.
A²+b²=c²
The set of elements found in both A and B.
An isosceles right triangle.

17. What is the measure of an exterior angle of a regular pentagon?
13
ODD number
72
Infinite.

18. If a lamp decreases to $80 - from $100 - what is the decrease in price?
Null
(a + b)^2
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Can be negative - zero - or positive

19. How to recognize a # as a multiple of 3
3
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.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
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)

20. (x+y)²
x²+2xy+y²
Negative
6
(base*height) / 2

21. 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?
Relationship cannot be determined (what if x 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)
10! / (10-3)! = 720
(length)(width)(height)

22. 3/8 in percent?
37.5%
Yes - like radicals can be added/subtracted.
The sum of the digits is a multiple of 9.
1

23. What are the integers?
(a + b)^2
All numbers multiples of 1.
4:5
11 - 13 - 17 - 19

24. What is the set of elements found in both A and B?
The interesection of A and B.
10! / (10-3)! = 720
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Null

25. Slope given 2 points
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(n-2) x 180
M= (Y1-Y2)/(X1-X2)
The point of intersection of the systems.

26. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
y2-y1/x2-x1
A central angle is an angle formed by 2 radii.
1
180 degrees

27. x^4 + x^7 =
9
x^(4+7) = x^11
83.333%
55%

28. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
x²-y²
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
F(x-c)
1/a^6

29. 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?
An arc is a portion of a circumference of a circle.
$3 -500 in the 9% and $2 -500 in the 7%.
NOT A PRIME
27

30. What is the maximum value for the function g(x) = (-2x^2) -1?
An is positive
The two xes after factoring.
1
Infinite.

31. What is a subset?
72
P(E) = 1/1 = 1
A grouping of the members within a set based on a shared characteristic.
180°

32. Simplify the expression (p^2 - q^2)/ -5(q - p)
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
(p + q)/5
Cd
ODD number

33. 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
(a - b)(a + b)
2^9 / 2 = 256
9 : 25

34. What is the slope of a vertical line?

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35. Describe the relationship between 3x^2 and 3(x - 1)^2
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...
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
62.5%
(pi)r²

36. -3²
(distance)/(rate) d/r
A set with a number of elements which can be counted.
2.592 kg
9

37. 0^0
A percent is a fraction whose denominator is 100.
Undefined
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)
y = (x + 5)/2

38. factored binomial product of (x+y)²
31 - 37
1
x²+2xy+y²
3

39. The reciprocal of any non-zero #x is
Triangles with same measure and same side lengths.
1/x
A=pi*(r^2)
2

40. Consecutive integers
NOT A PRIME
x - x+1 - x+2
3
The shortest arc between points A and B on a circle'S diameter.

41. What number between 70 & 75 - inclusive - has the greatest number of factors?
180
3
The union of A and B.
72

42. Area of a Parallelogram:
A=(base)(height)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
An angle which is supplementary to an interior angle.

43. a(b-c)
Ab-ac
N! / (k!)(n-k)!
Ø
NOT A PRIME

44. What is the 'domain' of a function?
The set of input values for a function.
Members or elements
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
D/t (distance)/(time)

45. Can you simplify sqrt72?
Can be negative - zero - or positive
x²+2xy+y²
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

46. A prime number (or a prime)
Pi(diameter)
M
Distance=rate×time or d=rt
A natural number greater than 1 that has no positive divisors other than 1 and itself

47. Area of a triangle?
1
(base*height) / 2
12sqrt2
(x+y)(x+y)

48. Ø Is neither
12sqrt2
1/x
The set of output values for a function.
Positive or Negative

49. In a rectangle - all angles are
Right
6
Ab=k (k is a constant)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

50. What is the 'Range' of a series of numbers?
angle that is greater than 90° but less than 180°
(amount of decrease/original price) x 100%
Even
The greatest value minus the smallest.