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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. The negative exponent x?n is equivalent to what?
10! / 3!(10-3)! = 120
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
67 - 71 - 73
A subset.

2. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Pi(diameter)
2
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)
(a - b)(a + b)

3. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
28
2sqrt6
1:sqrt3:2

4. 1 is an
Every number
ODD number
(a + b)^2
x^(2(4)) =x^8 = (x^4)^2

5. In a Regular Polygon - the measure of each exterior angle
4.25 - 6 - 22
Every number
The sum of its digits is divisible by 3.
360/n

6. Pythagorean theorem
The second graph is less steep.
A²+b²=c²
20.5
83.333%

7. 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?
x^(2(4)) =x^8 = (x^4)^2
10! / (10-3)! = 720
53 - 59
C = 2(pi)r

8. What are the irrational numbers?

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9. If the two sides of a triangle are unequal then the longer side.................
2²
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
37.5%
Lies opposite the greater angle

10. Ø Is
y2-y1/x2-x1
EVEN
A reflection about the origin.
2.592 kg

11. Distance
4a^2(b)
12sqrt2
Negative
(rate)(time) d=rt

12. What percent of 40 is 22?
55%
V=side³
... the square of the ratios of the corresponding sides.
53 - 59

13. What is the measure of an exterior angle of a regular pentagon?
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)
Reciprocal
180
72

14. Ø²
12sqrt2
x²-2xy+y²
Ø
26

15. Circumference of a circle
10! / 3!(10-3)! = 120
2(pi)r
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Add them. i.e. (5^7) * (5^3) = 5^10

16. (x-y)²
180
C=2 x pi x r OR pi x D
x²-2xy+y²
48

17. Important properties of a 30-60-90 triangle?
The set of elements found in both A and B.
(b + 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
Relationship cannot be determined (what if x is negative?)

18. 25/2³
1/x
F(x) + c
2²
12sqrt2

19. Slope of any line that goes up from left to right
53 - 59
Positive
A-b is positive
(distance)/(rate) d/r

20. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
The greatest value minus the smallest.
(a - b)^2
Ab-ac
13pi / 2

21. 0^0
A=½bh
Undefined
13
26

22. P and r are factors of 100. What is greater - pr or 100?
2²
A multiple of every integer
Indeterminable.
A=½bh

23. What is a percent?
A percent is a fraction whose denominator is 100.
13
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Ø

24. When dividing exponential #s with the same base - you do this to the exponents...
27^(-4)
(2x7)³
3x - 4x - 5x
Subtract them. i.e (5^7)/(5^3)= 5^4

25. The larger the absolute value of the slope...
288 (8 9 4)
The steeper the slope.
An infinite set.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

26. 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
9 & 6/7
1.7
71 - 73 - 79

27. To decrease a number by x%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Yes - like radicals can be added/subtracted.
EVEN

28. Formula to find a circle'S circumference from its radius?
A reflection about the origin.
C = 2(pi)r
A tangent is a line that only touches one point on the circumference of a circle.
4a^2(b)

29. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
F(x-c)
(b + c)
31 - 37
y = 2x^2 - 3

30. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
23 - 29
A set with a number of elements which can be counted.

31. (x^2)^4
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
x^(2(4)) =x^8 = (x^4)^2
= (actual decrease/Original amount) x 100%
Indeterminable.

32. 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
x^(4+7) = x^11
y = (x + 5)/2
18
180°

33. 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?
Diameter(Pi)
52
10! / 3!(10-3)! = 120
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

34. Describe the relationship between 3x^2 and 3(x - 1)^2
An isosceles right triangle.
Lies opposite the greater angle
10! / (10-3)! = 720
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

35. Factor x^2 - xy + x.
x(x - y + 1)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The set of output values for a function.
1

36. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
Lies opposite the greater angle
V=side³
The shortest arc between points A and B on a circle'S diameter.

37. 3/8 in percent?
A subset.
(b + c)
37.5%
Relationship cannot be determined (what if x is negative?)

38. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
Add them. i.e. (5^7) * (5^3) = 5^10
75:11
NOT A PRIME
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

39. What is the slope of a horizontal line?
2^9 / 2 = 256
0
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.
1

40. Probability of E not occurring:
1 - P(E)
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
D=rt so r= d/t and t=d/r
4725

41. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
1
A 30-60-90 triangle.
Can be negative - zero - or positive
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

42. What are complementary angles?
Two angles whose sum is 90.
x(x - y + 1)
1
6

43. Any Horizontal line slope
130pi
A 30-60-90 triangle.
zero
Reciprocal

44. How to recognize a # as a multiple of 4
83.333%
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
x²-y²
y = (x + 5)/2

45. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
Its divisible by 2 and by 3.
Subtract them. i.e (5^7)/(5^3)= 5^4
A set with a number of elements which can be counted.

46. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
5 OR -5
The set of input values for a function.
70
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

47. Simplify 9^(1/2) X 4^3 X 2^(-6)?
1/x
2.592 kg
288 (8 9 4)
3

48. The important properties of a 45-45-90 triangle?
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.
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.
A reflection about the axis.

49. 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?
71 - 73 - 79
1
441000 = 1 10 10 10 21 * 21
61 - 67

50. Slope
55%
27^(-4)
y2-y1/x2-x1
4a^2(b)