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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 the 'Range' of a function?
Pi(diameter)
Two angles whose sum is 90.
The set of output values for a function.
360/n
2. What is the set of elements found in both A and B?
1
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Can be negative - zero - or positive
The interesection of A and B.
3. Slope of any line that goes down as you move from left to right is
Negative
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)
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)
1
4. (2²)³
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.
Negative
A=½bh
26
5. 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?
10! / (10-3)! = 720
27^(-4)
72
x²-y²
6. Acute Angle
Relationship cannot be determined (what if x is negative?)
an angle that is less than 90°
Yes - like radicals can be added/subtracted.
A natural number greater than 1 that has no positive divisors other than 1 and itself
7. Pi is a ratio of what to what?
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8. When dividing exponential #s with the same base - you do this to the exponents...
3x - 4x - 5x
Subtract them. i.e (5^7)/(5^3)= 5^4
9
y = 2x^2 - 3
9. a(b+c)
441000 = 1 10 10 10 21 * 21
Ab+ac
An isosceles right triangle.
No - only like radicals can be added.
10. P and r are factors of 100. What is greater - pr or 100?
5
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(amount of decrease/original price) x 100%
Indeterminable.
11. The product of odd number of negative numbers
EVEN
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
B?b?b (where b is used as a factor n times)
Negative
12. Simplify the expression [(b^2 - c^2) / (b - c)]
(a - b)(a + b)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(b + c)
13. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
P(E) = ø
7 / 1000
x²-y²
10! / 3!(10-3)! = 120
14. How to determine percent decrease?
(amount of decrease/original price) x 100%
13pi / 2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
18
15. 1 is an
1/2 times 7/3
ODD number
x²-2xy+y²
(amount of decrease/original price) x 100%
16. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
V=l×w×h
A reflection about the origin.
360/n
An isosceles right triangle.
17. 70 < all primes< 80
71 - 73 - 79
Pi(diameter)
C = (pi)d
9 & 6/7
18. If a lamp increases from $80 to $100 - what is the percent increase?
zero
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
71 - 73 - 79
31 - 37
19. 50 < all primes< 60
1
53 - 59
The set of elements which can be found in either A or B.
Members or elements
20. the measure of a straight angle
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.
180°
The set of elements which can be found in either A or B.
(2x7)³
21. First 10 prime #s
1:1:sqrt2
The sum of digits is divisible by 9.
87.5%
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
22. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
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 = length x width
23 - 29
23. binomial product of (x-y)²
(distance)/(rate) d/r
Ø
(x+y)(x-y)
90pi
24. Important properties of a 30-60-90 triangle?
V=l×w×h
y2-y1/x2-x1
A percent is a fraction whose denominator is 100.
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
25. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The sum of the digits is a multiple of 9.
26. Find the surface area of a cylinder with radius 3 and height 12.
Positive or Negative
Undefined - because we can'T divide by 0.
A+c<b+c
90pi
27. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
A=pi*(r^2)
The sum of digits is divisible by 9.
1/a^6
2
28. a(b-c)
7 / 1000
Ab-ac
16.6666%
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
29. 25/2³
2²
(a - b)(a + b)
9 : 25
2
30. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
1:1:sqrt2
(2x7)³
5
31. If the two sides of a triangle are unequal then the longer side.................
130pi
A-b is negative
Lies opposite the greater angle
441000 = 1 10 10 10 21 * 21
32. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
360°
9 : 25
4a^2(b)
C = 2(pi)r
33. Formula to find a circle'S circumference from its diameter?
y/x is a constant
C = (pi)d
P=4s (s=side)
A = length x width
34. Probability of E not occurring:
Pi(diameter)
1 - P(E)
x²-y²
2sqrt6
35. What is the measure of an exterior angle of a regular pentagon?
71 - 73 - 79
72
12.5%
180°
36. To increase a number by x%
The two xes after factoring.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(2x7)³
83.333%
37. 7 divided by Ø
Its last two digits are divisible by 4.
(base*height) / 2
Lies opposite the greater angle
Null
38. What is the ratio of the sides of an isosceles right triangle?
A subset.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
16.6666%
1:1:sqrt2
39. A number is divisible by 4 is...
5
Reciprocal
Its last two digits are divisible by 4.
90°
40. 5x^2 - 35x -55 = 0
(x+y)(x-y)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A = length x width
P= 2L + 2w
41. (a^-1)/a^5
10
The union of A and B.
1/a^6
1/x
42. Solve the quadratic equation ax^2 + bx + c= 0
6 : 1 : 2
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)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The union of A and B.
43. the slope of a line in y=mx+b
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
M
x^(2(4)) =x^8 = (x^4)^2
1
44. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
27^(-4)
0
75:11
P=4s (s=side)
45. 2 is the only
Even prime number
x²+2xy+y²
83.333%
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
46. Find distance when given time and rate
Ø
87.5%
.0004809 X 10^11
D=rt so r= d/t and t=d/r
47. How many 3-digit positive integers are even and do not contain the digit 4?
10! / 3!(10-3)! = 120
D=rt so r= d/t and t=d/r
288 (8 9 4)
C = (pi)d
48. 8.84 / 5.2
A reflection about the axis.
1.7
A = pi(r^2)
... the square of the ratios of the corresponding sides.
49. What is the 'domain' of a function?
EVEN
Cd
6 : 1 : 2
The set of input values for a function.
50. If E is certain
P(E) = 1/1 = 1
Diameter(Pi)
The second graph is less steep.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225