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Test your basic knowledge |
GRE Math: All In One
Start Test
Study First
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
3
an angle that is less than 90°
Ø=P(E)=1
2(pi)r
2. Area of a rectangle
Edge³
A = length x width
Do not have slopes!
A 30-60-90 triangle.
3. What are congruent triangles?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Triangles with same measure and same side lengths.
1
The two xes after factoring.
4. Ø Is neither
an angle that is less than 90°
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
27^(-4)
Positive or Negative
5. The perimeter of a square is 48 inches. The length of its diagonal is:
72
360°
1/2 times 7/3
12sqrt2
6. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
$11 -448
M= (Y1-Y2)/(X1-X2)
13
7. Legs 5 - 12. Hypotenuse?
180 degrees
180°
13
Positive
8. What is a percent?
6 : 1 : 2
A percent is a fraction whose denominator is 100.
1
3 - -3
9. Number of degrees in a triangle
The longest arc between points A and B on a circle'S diameter.
180
2.592 kg
20.5
10. In a Regular Polygon - the measure of each exterior angle
72
A-b is positive
360/n
Distance=rate×time or d=rt
11. What is an isoceles triangle?
Two equal sides and two equal angles.
(x+y)(x+y)
28. n = 8 - k = 2. n! / k!(n-k)!
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
12. binomial product of (x+y)(x-y)
X
x²-y²
500
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
13. 25+2³
28
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Infinite.
The second graph is less steep.
14. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The empty set - denoted by a circle with a diagonal through it.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
P(E) = ø
8
15. -3²
9
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
1 - P(E)
1/2 times 7/3
16. If E is certain
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
Every number
P(E) = 1/1 = 1
(a - b)^2
17. 60 < all primes <70
70
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Negative
61 - 67
18. formula for the volume of a cube
6
V=side³
500
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
19. The larger the absolute value of the slope...
The steeper the slope.
3 - 4 - 5
Negative
All numbers multiples of 1.
20. What is a subset?
A grouping of the members within a set based on a shared characteristic.
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)
2.592 kg
2(pi)r
21. Reduce: 4.8 : 0.8 : 1.6
70
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
6 : 1 : 2
13
22. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
180
$11 -448
2(pi)r
23. Ø divided by 7
Ø
x²-y²
52
71 - 73 - 79
24. What are the irrational numbers?
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183
25. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
x²+2xy+y²
N! / (n-k)!
61 - 67
26. 30 60 90
0
3 - 4 - 5
A percent is a fraction whose denominator is 100.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
27. If the two sides of a triangle are unequal then the longer side.................
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Lies opposite the greater angle
3 - 4 - 5
V=side³
28. 6w^2 - w - 15 = 0
The point of intersection of the systems.
52
4:5
3/2 - 5/3
29. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
28. n = 8 - k = 2. n! / k!(n-k)!
A reflection about the origin.
10! / (10-3)! = 720
1
30. The objects in a set are called two names:
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
11 - 13 - 17 - 19
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Members or elements
31. What is a major arc?
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32. Legs: 3 - 4. Hypotenuse?
x^(4+7) = x^11
180
The interesection of A and B.
5
33. 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 set of output values for a function.
2²
1.7
18
34. If a product of two numbers is Ø - one number must be
Two angles whose sum is 180.
A central angle is an angle formed by 2 radii.
Ø
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
35. When multiplying exponential #s with the same base - you do this to the exponents...
A reflection about the axis.
Add them. i.e. (5^7) * (5^3) = 5^10
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
5 - 12 - 13
36. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
180°
Ø=P(E)=1
1
37. Probability of an Event
1
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
P(E) = number of favorable outcomes/total number of possible outcomes
31 - 37
38. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
An angle which is supplementary to an interior angle.
1/x
180 degrees
2
39. What is the surface area of a cylinder with radius 5 and height 8?
130pi
An is positive
1
Negative
40. What is an exterior angle?
EVEN
An angle which is supplementary to an interior angle.
28. n = 8 - k = 2. n! / k!(n-k)!
An expression with just one term (-6x - 2a^2)
41. What is the set of elements which can be found in either A or B?
The sum of its digits is divisible by 3.
zero
The union of A and B.
2sqrt6
42. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
x(x - y + 1)
x^(6-3) = x^3
75:11
43. 10^6 has how many zeroes?
Ab-ac
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
6
Yes - like radicals can be added/subtracted.
44. What are the members or elements of a set?
500
Negative
C = 2(pi)r
The objects within a set.
45. 5/8 in percent?
62.5%
x²-y²
180°
Null
46. 50 < all primes< 60
(p + q)/5
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)
53 - 59
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.
47. a^2 - b^2 =
360°
y2-y1/x2-x1
A central angle is an angle formed by 2 radii.
(a - b)(a + b)
48. 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?
Reciprocal
52
5
F(x) + c
49. binomial product of (x+y)²
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.
(x+y)(x+y)
A percent is a fraction whose denominator is 100.
The sum of the digits is a multiple of 9.
50. (6sqrt3) x (2sqrt5) =
Do not have slopes!
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The empty set - denoted by a circle with a diagonal through it.
Parallelogram