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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. the measure of a straight angle
3
62.5%
180°
Two (Ø×2=Ø)
2. Area of a triangle?
(base*height) / 2
y = 2x^2 - 3
Diameter(Pi)
5 OR -5
3. 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?
True
y = 2x^2 - 3
A grouping of the members within a set based on a shared characteristic.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
4. Legs: 3 - 4. Hypotenuse?
(length)(width)(height)
5
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
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)
5. The Perimeter of a rectangle
(a + b)^2
P=2(l+w)
1/a^6
All numbers multiples of 1.
6. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
The overlapping sections.
18
6
7. x^2 = 9. What is the value of x?
Two (Ø×2=Ø)
3 - -3
(a + b)^2
13pi / 2
8. What is the empty set?
A reflection about the axis.
N! / (k!)(n-k)!
A set with no members - denoted by a circle with a diagonal through it.
The sum of digits is divisible by 9.
9. (x-y)²
x²+2xy+y²
The direction of the inequality is reversed.
Pi is the ratio of a circle'S circumference to its diameter.
x²-2xy+y²
10. X is the opposite of
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
1/a^6
288 (8 9 4)
X
11. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
75:11
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
(distance)/(rate) d/r
12. The sum of the angles in a quadrilateral is
8
10! / (10-3)! = 720
Indeterminable.
360°
13. Simplify the expression [(b^2 - c^2) / (b - c)]
Diameter(Pi)
Can be negative - zero - or positive
(b + c)
26
14. For any number x
A grouping of the members within a set based on a shared characteristic.
The sum of its digits is divisible by 3.
Can be negative - zero - or positive
M
15. 40 < all primes<50
2sqrt6
A= (1/2) b*h
360/n
41 - 43 - 47
16. Perimeter of a rectangle
2^9 / 2 = 256
A=(base)(height)
(base*height) / 2
P= 2L + 2w
17. What is the set of elements found in both A and B?
360/n
Can be negative - zero - or positive
y/x is a constant
The interesection of A and B.
18. How many sides does a hexagon have?
6
y = (x + 5)/2
Negative
A-b is positive
19. Slope
y2-y1/x2-x1
(length)(width)(height)
An expression with just one term (-6x - 2a^2)
180
20. the slope of a line in y=mx+b
M
1
12.5%
A= (1/2) b*h
21. 3 is the opposite of
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
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
3
Even
22. factored binomial product of (x+y)²
Distance=rate×time or d=rt
2
A chord is a line segment joining two points on a circle.
x²+2xy+y²
23. In any polygon - all external angles equal up to
M= (Y1-Y2)/(X1-X2)
4096
F(x) + c
360°
24. Whats the difference between factors and multiples?
Factors are few - multiples are many.
An infinite set.
= (actual decrease/Original amount) x 100%
M= (Y1-Y2)/(X1-X2)
25. What is a finite set?
The set of elements found in both A and B.
2²
V=l×w×h
A set with a number of elements which can be counted.
26. Circumference of a Circle
C=2 x pi x r OR pi x D
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Cd
Parallelogram
27. Evaluate 3& 2/7 / 1/3
An isosceles right triangle.
1/a^6
1/2 times 7/3
9 & 6/7
28. What does scientific notation mean?
Ab=k (k is a constant)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
The longest arc between points A and B on a circle'S diameter.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
29. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
500
13pi / 2
27^(-4)
87.5%
30. A number is divisible by 9 if...
1 - P(E)
The sum of digits is divisible by 9.
2²
180
31. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
A = length x width
D/t (distance)/(time)
3
32. a>b then a - b is positive or negative?
$3 -500 in the 9% and $2 -500 in the 7%.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
9 : 25
A-b is positive
33. (x^2)^4
M
x^(2(4)) =x^8 = (x^4)^2
D/t (distance)/(time)
55%
34. 10^6 has how many zeroes?
41 - 43 - 47
6
True
Factors are few - multiples are many.
35. formula for volume of a rectangular solid
9
8
441000 = 1 10 10 10 21 * 21
V=l×w×h
36. What is a major arc?
37. If a is negative and n is even then an is (positive or negative?)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A natural number greater than 1 that has no positive divisors other than 1 and itself
An is positive
y2-y1/x2-x1
38. Formula for the area of a sector of a circle?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Sector area = (n/360) X (pi)r^2
1
P(E) = 1/1 = 1
39. -3²
... the square of the ratios of the corresponding sides.
Ø
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
9
40. What are 'Supplementary angles?'
180
Two angles whose sum is 180.
Even prime number
Two angles whose sum is 90.
41. Simplify 9^(1/2) X 4^3 X 2^(-6)?
N! / (n-k)!
Two angles whose sum is 180.
The direction of the inequality is reversed.
3
42. 1/2 divided by 3/7 is the same as
The sum of digits is divisible by 9.
1/2 times 7/3
A multiple of every integer
12sqrt2
43. If E is certain
2
P(E) = 1/1 = 1
N! / (k!)(n-k)!
1.0843 X 10^11
44. Ø is
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Negative
31 - 37
Even
45. 30 60 90
288 (8 9 4)
3x - 4x - 5x
3/2 - 5/3
441000 = 1 10 10 10 21 * 21
46. What is the graph of f(x) shifted upward c units or spaces?
x - x+1 - x+2
F(x) + c
N! / (k!)(n-k)!
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
47. Distance
P(E) = 1/1 = 1
A=pi*(r^2)
(rate)(time) d=rt
A = length x width
48. The reciprocal of any non-zero #x is
1/x
360°
A+c<b+c
A grouping of the members within a set based on a shared characteristic.
49. a(b+c)
Ab+ac
(2x7)³
37.5%
Edge³
50. Ø is a multiple of
A 30-60-90 triangle.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
62.5%
Every number