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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. 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
NOT A PRIME
18
A 30-60-90 triangle.
A=(base)(height)

2. Factor x^2 - xy + x.
x(x - y + 1)
Ab-ac
The longest arc between points A and B on a circle'S diameter.
Can be negative - zero - or positive

3. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
72
P(E) = ø
Add them. i.e. (5^7) * (5^3) = 5^10

4. 6w^2 - w - 15 = 0
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
180 degrees
3/2 - 5/3
x²-2xy+y²

5. To increase a number by x%
True
9 & 6/7
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
A central angle is an angle formed by 2 radii.

6. If a lamp increases from $80 to $100 - what is the percent increase?
2(pi)r
Its divisible by 2 and by 3.
All numbers multiples of 1.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

7. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
an angle that is less than 90°
N! / (n-k)!
A reflection about the axis.
(x+y)(x-y)

8. 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?
Positive
10! / (10-3)! = 720
27
(distance)/(rate) d/r

9. What is the ratio of the sides of an isosceles right triangle?
ODD number
180°
Ab+ac
1:1:sqrt2

10. First 10 prime #s
(length)(width)(height)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(2x7)³
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

11. 5/8 in percent?
62.5%
360°
(a - b)(a + b)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

12. What are the smallest three prime numbers greater than 65?
True
(base*height) / 2
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)
67 - 71 - 73

13. Ø²
(a - b)(a + b)
(b + c)
A-b is negative
Ø

14. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
7 / 1000
Members or elements
180°

15. What is the 'Solution' for a system of linear equations?
2(pi)r
The point of intersection of the systems.
18
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

16. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
Undefined - because we can'T divide by 0.
48
Lies opposite the greater angle
1:1:sqrt2

17. Find distance when given time and rate
D=rt so r= d/t and t=d/r
(distance)/(rate) d/r
Even
F(x-c)

18. 30 60 90
x²+2xy+y²
x - x(SR3) - 2x
61 - 67
28. n = 8 - k = 2. n! / k!(n-k)!

19. What is a chord of a circle?
A reflection about the origin.
A chord is a line segment joining two points on a circle.
An expression with just one term (-6x - 2a^2)
Pi is the ratio of a circle'S circumference to its diameter.

20. The Perimeter of a rectangle
P=2(l+w)
Can be negative - zero - or positive
The greatest value minus the smallest.
5 - 12 - 13

21. Ø Is neither
x - x(SR3) - 2x
M= (Y1-Y2)/(X1-X2)
= (actual decrease/Original amount) x 100%
Positive or Negative

22. Slope of any line that goes up from left to right
Positive
Sum of digits is a multiple of 3 and the last digit is even.
180°
4.25 - 6 - 22

23. 7 divided by Ø
D/t (distance)/(time)
(base*height) / 2
Null
Straight Angle

24. Ø divided by 7
x^(4+7) = x^11
55%
1.0843 X 10^11
Ø

25. -3³
27
Its last two digits are divisible by 4.
360°
Indeterminable.

26. 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)
Negative
x^(6-3) = x^3
(base*height) / 2
4.25 - 6 - 22

27. X is the opposite of
2 & 3/7
Subtract them. i.e (5^7)/(5^3)= 5^4
X
Right

28. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
M
The steeper the slope.
180
x(x - y + 1)

29. Which is greater? 64^5 or 16^8
0
The shortest arc between points A and B on a circle'S diameter.
(a + b)^2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

30. If a<b - then
A+c<b+c
Every number
3
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.

31. Legs 5 - 12. Hypotenuse?
NOT A PRIME
13
Ø Ø=Ø
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

32. x^6 / x^3
The set of output values for a function.
The shortest arc between points A and B on a circle'S diameter.
(2x7)³
x^(6-3) = x^3

33. Area of a rectangle
Ø
x^(6-3) = x^3
A = length x width
90°

34. The only number that is equal to its opposite
A set with no members - denoted by a circle with a diagonal through it.
12! / 5!7! = 792
Ø Ø=Ø
Its divisible by 2 and by 3.

35. If a product of two numbers is Ø - one number must be
2
The longest arc between points A and B on a circle'S diameter.
3/2 - 5/3
Ø

36. 1/8 in percent?
Its last two digits are divisible by 4.
x²-y²
12.5%
1

37. Volume of a rectangular solid
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(length)(width)(height)
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.
Do not have slopes!

38. How many multiples does a given number have?
360°
(amount of decrease/original price) x 100%
Infinite.
Ø

39. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
441000 = 1 10 10 10 21 * 21
(length)(width)(height)
3 - -3
Parallelogram

40. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
(x+y)(x+y)
71 - 73 - 79
52

41. The consecutive angles in a parallelogram equal
180°
The point of intersection of the systems.
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
A²+b²=c²

42. The ratio of the areas of two similar polygons is ...
9
A subset.
... the square of the ratios of the corresponding sides.
F(x) + c

43. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
3
52
Positive or Negative

44. The reciprocal of any non-zero number is
Positive
A²+b²=c²
1/x
The sum of its digits is divisible by 3.

45. What is the measure of an exterior angle of a regular pentagon?
Ab+ac
2
72
Positive

46. How to determine percent decrease?
12.5%
(amount of decrease/original price) x 100%
90pi
Ab-ac

47. Which is greater? 200x^295 or 10x^294?
28
2 & 3/7
C = (pi)d
Relationship cannot be determined (what if x is negative?)

48. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
Sum of digits is a multiple of 3 and the last digit is even.
6
3x - 4x - 5x

49. 0^0
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
10
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.)
Undefined

50. How many 3-digit positive integers are even and do not contain the digit 4?
10
3 - -3
23 - 29
288 (8 9 4)