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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. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
62.5%
Diameter(Pi)
Even prime number
2. To increase a number by x%
The point of intersection of the systems.
X
(2x7)³
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
3. What is the name for a grouping of the members within a set based on a shared characteristic?
x^(6-3) = x^3
The empty set - denoted by a circle with a diagonal through it.
9
A subset.
4. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
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)
130pi
A reflection about the axis.
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
5. Find distance when given time and rate
x²-2xy+y²
90°
D=rt so r= d/t and t=d/r
1 - P(E)
6. If a lamp decreases to $80 - from $100 - what is the decrease in price?
70
90
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
7. Important properties of a 30-60-90 triangle?
2(pi)r
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
Cd
x^(2(4)) =x^8 = (x^4)^2
8. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
72
The sum of the digits is a multiple of 9.
70
Positive
9. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
x^(6-3) = x^3
3
4725
A-b is positive
10. The percent decrease of a quantity
0
y2-y1/x2-x1
4.25 - 6 - 22
= (actual decrease/Original amount) x 100%
11. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
True
2^9 / 2 = 256
y = (x + 5)/2
F(x) + c
12. (x^2)^4
67 - 71 - 73
x^(2(4)) =x^8 = (x^4)^2
2^9 / 2 = 256
V=Lwh
13. In a rectangle - all angles are
Right
An arc is a portion of a circumference of a circle.
A multiple of every integer
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
14. 7/8 in percent?
V=l×w×h
x^(6-3) = x^3
87.5%
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
15. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
(b + c)
A 30-60-90 triangle.
A= (1/2) b*h
83.333%
16. If a lamp increases from $80 to $100 - what is the percent increase?
A set with no members - denoted by a circle with a diagonal through it.
3 - -3
(a - b)(a + b)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
17. Perfect Squares 1-15
(base*height) / 2
360°
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
4a^2(b)
18. Volume of a cube
Edge³
An infinite set.
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)
13pi / 2
19. 2³×7³
Ø
3 - 4 - 5
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(2x7)³
20. Can you add sqrt 3 and sqrt 5?
P=2(l+w)
Triangles with same measure and same side lengths.
23 - 29
No - only like radicals can be added.
21. What are 'Supplementary angles?'
Smallest positive integer
Every number
x²-y²
Two angles whose sum is 180.
22. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Can be negative - zero - or positive
D/t (distance)/(time)
2 & 3/7
A set with a number of elements which can be counted.
23. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
5 OR -5
26
EVEN
24. If the two sides of a triangle are unequal then the longer side.................
4:5
A percent is a fraction whose denominator is 100.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Lies opposite the greater angle
25. What is the intersection of A and B?
(distance)/(rate) d/r
A 30-60-90 triangle.
The set of elements found in both A and B.
A reflection about the origin.
26. What is the slope of a vertical line?
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27. 60 < all primes <70
55%
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
61 - 67
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
28. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
72
41 - 43 - 47
(p + q)/5
29. If y is directly proportional to x - what does it equal?
A= (1/2) b*h
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
6
y/x is a constant
30. x^2 = 9. What is the value of x?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
3 - -3
(length)(width)(height)
A reflection about the origin.
31. What are the members or elements of a set?
Two (Ø×2=Ø)
0
The objects within a set.
Triangles with same measure and same side lengths.
32. Vertical lines
Diameter(Pi)
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
2sqrt6
Do not have slopes!
33. How to determine percent decrease?
(amount of decrease/original price) x 100%
90
The two xes after factoring.
The longest arc between points A and B on a circle'S diameter.
34. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
90°
(n-2) x 180
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
35. The objects in a set are called two names:
Members or elements
67 - 71 - 73
An infinite set.
8
36. 25^(1/2) or sqrt. 25 =
A<-b
87.5%
5 OR -5
3
37. The important properties of a 45-45-90 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
Even prime number
Parallelogram
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.
38. factored binomial product of (x-y)²
x²-2xy+y²
27
P(E) = number of favorable outcomes/total number of possible outcomes
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)
39. Probability of an Event
16.6666%
(length)(width)(height)
75:11
P(E) = number of favorable outcomes/total number of possible outcomes
40. What is a finite set?
A set with a number of elements which can be counted.
B?b?b (where b is used as a factor n times)
(base*height) / 2
An expression with just one term (-6x - 2a^2)
41. x^6 / x^3
An expression with just one term (-6x - 2a^2)
x^(6-3) = x^3
True
(a + b)^2
42. 3/8 in percent?
37.5%
360/n
The sum of the digits is a multiple of 9.
180°
43. What are the irrational numbers?
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44. What is the 'Solution' for a system of linear equations?
D=rt so r= d/t and t=d/r
The point of intersection of the systems.
0
x²+2xy+y²
45. Slope of any line that goes down as you move from left to right is
Negative
12! / 5!7! = 792
x^(6-3) = x^3
The steeper the slope.
46. (2²)³
A=pi*(r^2)
1
Indeterminable.
26
47. a^2 - b^2
3 - -3
x²-2xy+y²
288 (8 9 4)
(a - b)(a + b)
48. The sum of all angles around a point
X
90
F(x + c)
360°
49. How to recognize a # as a multiple of 3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1/x
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)
Move the decimal point to the right x places
50. What is the surface area of a cylinder with radius 5 and height 8?
2(pi)r
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
130pi
Its last two digits are divisible by 4.