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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 is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Its divisible by 2 and by 3.
Ø
A reflection about the origin.
10! / 3!(10-3)! = 120
2. 20<all primes<30
23 - 29
D=rt so r= d/t and t=d/r
P=2(l+w)
Infinite.
3. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
$3 -500 in the 9% and $2 -500 in the 7%.
The empty set - denoted by a circle with a diagonal through it.
8
360°
4. a(b+c)
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)
F(x) - c
Ab+ac
Triangles with same measure and same side lengths.
5. 5x^2 - 35x -55 = 0
Ab=k (k is a constant)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
180 degrees
4725
6. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
A multiple of every integer
Members or elements
7. What is a percent?
(a - b)(a + b)
Two equal sides and two equal angles.
A percent is a fraction whose denominator is 100.
N! / (n-k)!
8. What are the smallest three prime numbers greater than 65?
(length)(width)(height)
6
67 - 71 - 73
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
9. Volume of a cube
The shortest arc between points A and B on a circle'S diameter.
An expression with just one term (-6x - 2a^2)
26
Edge³
10. Important properties of a 30-60-90 triangle?
0
Undefined
A-b is negative
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
11. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
The sum of its digits is divisible by 3.
288 (8 9 4)
(length)(width)(height)
12. 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?
9 : 25
1/a^6
2
441000 = 1 10 10 10 21 * 21
13. P and r are factors of 100. What is greater - pr or 100?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Indeterminable.
A²+b²=c²
(b + c)
14. The sum of all angles around a point
3 - 4 - 5
Its last two digits are divisible by 4.
= (actual decrease/Original amount) x 100%
360°
15. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
3/2 - 5/3
A²+b²=c²
P(E) = 1/1 = 1
4725
16. Ø Is
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
x - x+1 - x+2
The union of A and B.
EVEN
17. Convert 0.7% to a fraction.
7 / 1000
Positive
True
x - x(SR3) - 2x
18. Formula to calculate arc length?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The steeper the slope.
31 - 37
Arc length = (n/360) x pi(2r) where n is the number of degrees.
19. 8.84 / 5.2
13pi / 2
1.7
1
A reflection about the axis.
20. a^2 + 2ab + b^2
A=½bh
2(pi)r
(a + b)^2
13
21. What is the name of set with a number of elements which cannot be counted?
70
4:5
18
An infinite set.
22. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
The overlapping sections.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
0
500
23. How to determine percent decrease?
(amount of decrease/original price) x 100%
Two (Ø×2=Ø)
Subtract them. i.e (5^7)/(5^3)= 5^4
(distance)/(rate) d/r
24. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
y = (x + 5)/2
(2x7)³
87.5%
25. 6w^2 - w - 15 = 0
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)
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
3/2 - 5/3
Sum of digits is a multiple of 3 and the last digit is even.
26. 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?
360/n
y = 2x^2 - 3
4096
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
27. 25/2³
2²
An arc is a portion of a circumference of a circle.
The longest arc between points A and B on a circle'S diameter.
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.
28. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
28
A 30-60-90 triangle.
1/x
3
29. Define a 'monomial'
A²+b²=c²
87.5%
An expression with just one term (-6x - 2a^2)
1
30. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
Members or elements
an angle that is less than 90°
441000 = 1 10 10 10 21 * 21
31. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
55%
1/a^6
Ø Ø=Ø
32. -3³
27
70
Two (Ø×2=Ø)
Sum of digits is a multiple of 3 and the last digit is even.
33. 3/8 in percent?
20.5
90
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
37.5%
34. How to recognize a # as a multiple of 4
(a - b)^2
9
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.)
12! / 5!7! = 792
35. When does a function automatically have a restricted domain (2)?
23 - 29
441000 = 1 10 10 10 21 * 21
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Reciprocal
36. The negative exponent x?n is equivalent to what?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
x²-y²
A multiple of every integer
360°
37. formula for distance problems
Null
10
Distance=rate×time or d=rt
Ø
38. Evaluate 4/11 + 11/12
1 & 37/132
75:11
3
Null
39. If a is negative and n is even then an is (positive or negative?)
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
(b + c)
Sum of digits is a multiple of 3 and the last digit is even.
An is positive
40. Number of degrees in a triangle
1:1:sqrt2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
13
180
41. (x^2)^4
The empty set - denoted by a circle with a diagonal through it.
x^(2(4)) =x^8 = (x^4)^2
An arc is a portion of a circumference of a circle.
72
42. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Triangles with same measure and same side lengths.
12! / 5!7! = 792
x^(6-3) = x^3
43. x^2 = 9. What is the value of x?
18
500
(a - b)(a + b)
3 - -3
44. For any number x
(n-2) x 180
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
(a - b)^2
Can be negative - zero - or positive
45. What is the sum of the angles of a triangle?
6
180 degrees
9 & 6/7
An expression with just one term (-6x - 2a^2)
46. Slope
M
Distance=rate×time or d=rt
The objects within a set.
y2-y1/x2-x1
47. Area of a circle
C = 2(pi)r
(pi)r²
Ø=P(E)=1
360/n
48. Ø is
$11 -448
x²-2xy+y²
A multiple of every integer
441000 = 1 10 10 10 21 * 21
49. (x-y)(x+y)
Undefined - because we can'T divide by 0.
Ab-ac
x²-y²
Reciprocal
50. In a Regular Polygon - the measure of each exterior angle
360/n
NOT A PRIME
1 & 37/132
Ab-ac