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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. What does scientific notation mean?
Straight Angle
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Ø
The set of elements found in both A and B.
2. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
53 - 59
2 & 3/7
9 & 6/7
27^(-4)
3. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
20.5
4:5
EVEN
Straight Angle
4. What is the slope of a vertical line?
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183
5. What are the smallest three prime numbers greater than 65?
B?b?b (where b is used as a factor n times)
67 - 71 - 73
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.
Can be negative - zero - or positive
6. In a rectangle - all angles are
V=Lwh
The second graph is less steep.
Right
Parallelogram
7. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
x - x+1 - x+2
360°
= (actual decrease/Original amount) x 100%
8. What is the set of elements found in both A and B?
52
70
The interesection of A and B.
360°
9. Formula for the area of a circle?
Ab-ac
1 & 37/132
A = pi(r^2)
6 : 1 : 2
10. binomial product of (x+y)²
A multiple of every integer
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(x+y)(x+y)
360°
11. 1/8 in percent?
12.5%
The union of A and B.
Edge³
The point of intersection of the systems.
12. Area of a triangle
3/2 - 5/3
(2x7)³
The set of elements found in both A and B.
A= (1/2) b*h
13. If a is positive - an is
An expression with just one term (-6x - 2a^2)
Positive
P=2(l+w)
C = 2(pi)r
14. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
4a^2(b)
A reflection about the origin.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Negative
15. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
The greatest value minus the smallest.
Be Zero!
x²+2xy+y²
16. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
D=rt so r= d/t and t=d/r
6 : 1 : 2
61 - 67
17. The consecutive angles in a parallelogram equal
180°
Sum of digits is a multiple of 3 and the last digit is even.
A natural number greater than 1 that has no positive divisors other than 1 and itself
2.592 kg
18. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
3
2sqrt6
Two (Ø×2=Ø)
19. Pythagorean theorem
A²+b²=c²
9 : 25
A multiple of every integer
Undefined
20. Convert 0.7% to a fraction.
7 / 1000
87.5%
zero
Ø
21. What is the intersection of A and B?
The set of elements found in both A and B.
D=rt so r= d/t and t=d/r
M
4:5
22. the slope of a line in y=mx+b
M
Lies opposite the greater angle
6 : 1 : 2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
23. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
P=2(l+w)
The point of intersection of the systems.
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
24. If a<b - then
A+c<b+c
1
x^(6-3) = x^3
The overlapping sections.
25. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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)
A central angle is an angle formed by 2 radii.
20.5
26. Evaluate 3& 2/7 / 1/3
The shortest arc between points A and B on a circle'S diameter.
9 & 6/7
180 degrees
A natural number greater than 1 that has no positive divisors other than 1 and itself
27. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
Undefined - because we can'T divide by 0.
1
An isosceles right triangle.
Undefined
28. bn
x²-2xy+y²
(x+y)(x-y)
B?b?b (where b is used as a factor n times)
1 - P(E)
29. 25+2³
An expression with just one term (-6x - 2a^2)
The two xes after factoring.
28
4096
30. What is the sum of the angles of a triangle?
Undefined
Ab=k (k is a constant)
6 : 1 : 2
180 degrees
31. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
1.7
3/2 - 5/3
12.5%
y = (x + 5)/2
32. What is the set of elements which can be found in either A or B?
Distance=rate×time or d=rt
A set with no members - denoted by a circle with a diagonal through it.
Move the decimal point to the right x places
The union of A and B.
33. (x+y)²
90
x²+2xy+y²
Edge³
A= (1/2) b*h
34. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
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.)
(x+y)(x+y)
83.333%
70
35. Find distance when given time and rate
2
(distance)/(rate) d/r
1:1:sqrt2
D=rt so r= d/t and t=d/r
36. How do you solve proportions? a/b=c/d
The set of input values for a function.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
(a + b)^2
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)
37. b¹
360/n
1
6
55%
38. If a is inversely porportional to b - what does it equal?
Positive or Negative
Ab=k (k is a constant)
.0004809 X 10^11
83.333%
39. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
8
Even prime number
67 - 71 - 73
13pi / 2
40. 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?
441000 = 1 10 10 10 21 * 21
The sum of its digits is divisible by 3.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Straight Angle
41. To decrease a number by x%
The set of output values for a function.
1 & 37/132
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A= (1/2) b*h
42. 30< all primes<40
A natural number greater than 1 that has no positive divisors other than 1 and itself
31 - 37
Straight Angle
90
43. a<b then a - b is positive or negative?
1/x
The set of elements found in both A and B.
(2x7)³
A-b is negative
44. Formula for the area of a sector of a circle?
8
F(x + c)
Sector area = (n/360) X (pi)r^2
The two xes after factoring.
45. 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?
Negative
10! / (10-3)! = 720
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)
12sqrt2
46. What are the rational numbers?
No - only like radicals can be added.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
an angle that is less than 90°
3x - 4x - 5x
47. What are congruent triangles?
1:sqrt3:2
2.592 kg
13pi / 2
Triangles with same measure and same side lengths.
48. 30 60 90
x - x(SR3) - 2x
Ab-ac
Edge³
87.5%
49. a^2 + 2ab + b^2
A=½bh
(a + b)^2
(n-2) x 180
360°
50. The product of odd number of negative numbers
5 - 12 - 13
Two angles whose sum is 180.
87.5%
Negative
Sorry!:) No result found.
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