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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. Volume of a rectangular solid
(b + c)
(length)(width)(height)
1
180°

2. (2²)³
Even
Pi is the ratio of a circle'S circumference to its diameter.
A= (1/2) b*h
26

3. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
6
Yes - like radicals can be added/subtracted.
3
The longest arc between points A and B on a circle'S diameter.

4. Simplify 9^(1/2) X 4^3 X 2^(-6)?
B?b?b (where b is used as a factor n times)
72
y = 2x^2 - 3
3

5. In a rectangle - all angles are
F(x) - c
Right
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
D/t (distance)/(time)

6. The consecutive angles in a parallelogram equal
The union of A and B.
75:11
Move the decimal point to the right x places
180°

7. 1 is a divisor of
Every number
9 : 25
Positive or Negative
288 (8 9 4)

8. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
Its last two digits are divisible by 4.
Be Zero!
... the square of the ratios of the corresponding sides.

9. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(b + c)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Right

10. 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)?
x²-y²
10! / 3!(10-3)! = 120
The set of output values for a function.
y = (x + 5)/2

11. Probability of Event all cases
Ø=P(E)=1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
90°
(p + q)/5

12. Evaluate 3& 2/7 / 1/3
Move the decimal point to the right x places
180
288 (8 9 4)
9 & 6/7

13. Formula to calculate arc length?
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
P(E) = number of favorable outcomes/total number of possible outcomes
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x²-2xy+y²

14. Ø Is
EVEN
All numbers multiples of 1.
180
2²

15. What is the 'Solution' for a set of inequalities.
62.5%
1/2 times 7/3
F(x) + c
The overlapping sections.

16. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
18
1:1:sqrt2
16.6666%

17. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
10
2sqrt6
10! / (10-3)! = 720
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

18. Evaluate 4/11 + 11/12
Positive
18
Its divisible by 2 and by 3.
1 & 37/132

19. The Perimeter of a rectangle
P(E) = 1/1 = 1
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.
P=2(l+w)
(n-2) x 180

20. 10^6 has how many zeroes?
x - x(SR3) - 2x
500
6
D/t (distance)/(time)

21. If the two sides of a triangle are unequal then the longer side.................
4:5
Lies opposite the greater angle
2^9 / 2 = 256
P(E) = 1/1 = 1

22. What is an isoceles triangle?
zero
Its divisible by 2 and by 3.
Two equal sides and two equal angles.
288 (8 9 4)

23. What is a major arc?

24. The reciprocal of any non-zero number is
1/x
Ø
Positive
1

25. What are the real numbers?
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
The longest arc between points A and B on a circle'S diameter.
V=Lwh
13

26. The ratio of the areas of two similar polygons is ...
The sum of the digits is a multiple of 9.
... the square of the ratios of the corresponding sides.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Every number

27. Time
True
87.5%
3x - 4x - 5x
(distance)/(rate) d/r

28. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
Straight Angle
The interesection of A and B.
4096

29. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
X
P=4s (s=side)
1
52

30. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
9 & 6/7
A reflection about the axis.
72
The point of intersection of the systems.

31. Find distance when given time and rate
D=rt so r= d/t and t=d/r
2.592 kg
P= 2L + 2w
A reflection about the origin.

32. 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%.
4096
Move the decimal point to the right x places
Diameter(Pi)

33. a<b then a - b is positive or negative?
Undefined - because we can'T divide by 0.
x - x(SR3) - 2x
x²-y²
A-b is negative

34. What is a finite set?
1
F(x + c)
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
A set with a number of elements which can be counted.

35. What is the set of elements which can be found in either A or B?
5 OR -5
The union of A and B.
A multiple of every integer
Lies opposite the greater angle

36. If E is certain
41 - 43 - 47
P(E) = 1/1 = 1
1/x
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)

37. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
1
Do not have slopes!
A percent is a fraction whose denominator is 100.

38. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
P(E) = number of favorable outcomes/total number of possible outcomes
4.25 - 6 - 22
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Be Zero!

39. The sum of the measures of the n angles in a polygon with n sides
P(E) = ø
(n-2) x 180
ODD number
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...

40. What is the order of operations?
Positive
26
C = 2(pi)r
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

41. a^2 + 2ab + b^2
4725
Subtract them. i.e (5^7)/(5^3)= 5^4
(a + b)^2
F(x) - c

42. a^2 - b^2 =
(a - b)(a + b)
70
Can be negative - zero - or positive
1

43. 7/8 in percent?
52
87.5%
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1.7

44. Circumference of a Circle
C=2 x pi x r OR pi x D
A=pi*(r^2)
(a - b)(a + b)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

45. formula for volume of a rectangular solid
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.
Every number
2^9 / 2 = 256
V=l×w×h

46. 5x^2 - 35x -55 = 0
180
90pi
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Pi is the ratio of a circle'S circumference to its diameter.

47. If a lamp increases from $80 to $100 - what is the percent increase?
F(x) - c
90°
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
10! / 3!(10-3)! = 120

48. Probability of an Event
3 - 4 - 5
P(E) = number of favorable outcomes/total number of possible outcomes
72
Positive

49. 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?
9 : 25
3 - 4 - 5
10
90

50. Consecutive integers
x - x+1 - x+2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Sum of digits is a multiple of 3 and the last digit is even.
(b + c)