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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. Circumference of a circle?
37.5%
Diameter(Pi)
angle that is greater than 90° but less than 180°
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

2. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
61 - 67
= (actual decrease/Original amount) x 100%

3. the measure of a straight angle
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
72
180°
Arc length = (n/360) x pi(2r) where n is the number of degrees.

4. 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)
M
9 : 25
16.6666%
4.25 - 6 - 22

5. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The steeper the slope.
(x+y)(x-y)
70

6. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Members or elements
A=½bh
The set of input values for a function.
1

7. What is the set of elements which can be found in either A or B?
Factors are few - multiples are many.
The union of A and B.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
zero

8. Perfect Squares 1-15
(amount of decrease/original price) x 100%
Pi is the ratio of a circle'S circumference to its diameter.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Negative

9. What is the intersection of A and B?
1/x
180 degrees
The set of elements found in both A and B.
C = 2(pi)r

10. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Infinite.
NOT A PRIME
4:5
Every number

11. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
An is positive
1
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The two xes after factoring.

12. 4.809 X 10^7 =
360°
26
A+c<b+c
.0004809 X 10^11

13. Solve the quadratic equation ax^2 + bx + c= 0
An isosceles right triangle.
1
The two xes after factoring.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

14. Legs 6 - 8. Hypotenuse?
9 & 6/7
A grouping of the members within a set based on a shared characteristic.
Negative
10

15. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
23 - 29
A 30-60-90 triangle.
1
2.592 kg

16. What are the members or elements of a set?
The objects within a set.
y/x is a constant
A central angle is an angle formed by 2 radii.
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)

17. What are congruent triangles?
Triangles with same measure and same side lengths.
The set of output values for a function.
61 - 67
Two (Ø×2=Ø)

18. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
28. n = 8 - k = 2. n! / k!(n-k)!
F(x-c)
P=4s (s=side)

19. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Diameter(Pi)
An is positive
$3 -500 in the 9% and $2 -500 in the 7%.

20. The only number that is equal to its opposite
(a - b)(a + b)
P(E) = 1/1 = 1
Ø Ø=Ø
The empty set - denoted by a circle with a diagonal through it.

21. What percent of 40 is 22?
55%
x - x+1 - x+2
P= 2L + 2w
A-b is negative

22. 5x^2 - 35x -55 = 0
360°
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
An isosceles right triangle.
Two (Ø×2=Ø)

23. Important properties of a 30-60-90 triangle?
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
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
C = 2(pi)r
Edge³

24. In a rectangle - all angles are
Right
An arc is a portion of a circumference of a circle.
M
zero

25. A number is divisible by 4 is...
9 & 6/7
A percent is a fraction whose denominator is 100.
Its last two digits are divisible by 4.
4a^2(b)

26. Area of a Parallelogram:
Ø
A=(base)(height)
Lies opposite the greater angle
Yes - like radicals can be added/subtracted.

27. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
20.5
(x+y)(x-y)
27^(-4)
4a^2(b)

28. What is a major arc?

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29. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
1
500
A<-b
72

30. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
130pi
EVEN
Triangles with same measure and same side lengths.

31. a/Ø
Null
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...
2.592 kg
180°

32. Whats the difference between factors and multiples?
6
Factors are few - multiples are many.
x²-2xy+y²
NOT A PRIME

33. a(b+c)
67 - 71 - 73
Ab+ac
5 OR -5
500

34. 5/8 in percent?
62.5%
The two xes after factoring.
360°
180 degrees

35. What is the set of elements found in both A and B?
2sqrt6
The interesection of A and B.
75:11
The shortest arc between points A and B on a circle'S diameter.

36. Circumference of a circle
The set of output values for a function.
1
2(pi)r
500

37. Formula to find a circle'S circumference from its radius?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
61 - 67
31 - 37
C = 2(pi)r

38. What is the surface area of a cylinder with radius 5 and height 8?
72
(distance)/(rate) d/r
130pi
Two (Ø×2=Ø)

39. Ø²
62.5%
Ø
130pi
360/n

40. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
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.
72
360°
y2-y1/x2-x1

41. What is a chord of a circle?
(a + b)^2
A chord is a line segment joining two points on a circle.
X
Ø

42. To decrease a number by x%
F(x-c)
A=(base)(height)
Negative
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

43. (x-y)(x+y)
x²-y²
F(x + c)
23 - 29
90

44. First 10 prime #s
(distance)/(rate) d/r
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Ø
Do not have slopes!

45. What are the smallest three prime numbers greater than 65?
Right
16.6666%
67 - 71 - 73
= (actual decrease/Original amount) x 100%

46. What is the 'Range' of a function?
1.0843 X 10^11
A percent is a fraction whose denominator is 100.
Every number
The set of output values for a function.

47. 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
The overlapping sections.
180
The greatest value minus the smallest.
1

48. x^6 / x^3
5 - 12 - 13
Two angles whose sum is 90.
Can be negative - zero - or positive
x^(6-3) = x^3

49. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
5 - 12 - 13
13
V=l×w×h
12! / 5!7! = 792

50. 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?
48
1/2 times 7/3
130pi
y = 2x^2 - 3