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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. First 10 prime #s
F(x) + c
A grouping of the members within a set based on a shared characteristic.
Two equal sides and two equal angles.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
2. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
$3 -500 in the 9% and $2 -500 in the 7%.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
V=side³
Ab=k (k is a constant)
3. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
A-b is negative
5
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.)
4. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
The longest arc between points A and B on a circle'S diameter.
(distance)/(rate) d/r
52
360/n
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?
90
A²+b²=c²
B?b?b (where b is used as a factor n times)
10! / (10-3)! = 720
6. Ø divided by 7
x - x(SR3) - 2x
All numbers multiples of 1.
180 degrees
Ø
7. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
41 - 43 - 47
2
11 - 13 - 17 - 19
All numbers multiples of 1.
8. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
(a - b)^2
C = (pi)d
3
9. If a lamp decreases to $80 - from $100 - what is the decrease in price?
83.333%
2.592 kg
Ø
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
10. factored binomial product of (x-y)²
angle that is greater than 90° but less than 180°
Yes - like radicals can be added/subtracted.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x²-2xy+y²
11. A number is divisible by 4 is...
12.5%
Its last two digits are divisible by 4.
Right
90
12. a(b-c)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Ab-ac
EVEN
1 & 37/132
13. Write 10 -843 X 10^7 in scientific notation
Reciprocal
y = 2x^2 - 3
1.0843 X 10^11
F(x + c)
14. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Positive
2(pi)r
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)
A reflection about the origin.
15. What is the 'domain' of a function?
Positive or Negative
(b + c)
The set of input values for a function.
2 & 3/7
16. 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?
A-b is positive
67 - 71 - 73
500
Indeterminable.
17. 10^6 has how many zeroes?
Cd
D/t (distance)/(time)
Its divisible by 2 and by 3.
6
18. Ø Is neither
Two equal sides and two equal angles.
Null
Positive or Negative
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
19. How to recognize a # as a multiple of 3
1
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)
A = length x width
Ø
20. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
x - x(SR3) - 2x
1 & 37/132
The longest arc between points A and B on a circle'S diameter.
21. If Event is impossible
P(E) = ø
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Ab=k (k is a constant)
Every number
22. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
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
3
M
P=4s (s=side)
23. Define a 'monomial'
75:11
The two xes after factoring.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
An expression with just one term (-6x - 2a^2)
24. 25/2³
2²
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)
52
Undefined - because we can'T divide by 0.
25. What is the surface area of a cylinder with radius 5 and height 8?
130pi
A percent is a fraction whose denominator is 100.
Add them. i.e. (5^7) * (5^3) = 5^10
P(E) = number of favorable outcomes/total number of possible outcomes
26. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
(amount of decrease/original price) x 100%
20.5
Pi(diameter)
A 30-60-90 triangle.
27. What is the empty set?
$11 -448
8
A set with no members - denoted by a circle with a diagonal through it.
(pi)r²
28. Find distance when given time and rate
y = (x + 5)/2
P=2(l+w)
F(x) + c
D=rt so r= d/t and t=d/r
29. formula for distance problems
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Distance=rate×time or d=rt
y = (x + 5)/2
72
30. Slope
75:11
P=2(l+w)
Relationship cannot be determined (what if x is negative?)
y2-y1/x2-x1
31. Factor x^2 - xy + x.
x(x - y + 1)
Move the decimal point to the right x places
2sqrt6
F(x-c)
32. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
5 - 12 - 13
3/2 - 5/3
28. n = 8 - k = 2. n! / k!(n-k)!
4725
33. What is the ratio of the sides of a 30-60-90 triangle?
1/x
1:sqrt3:2
A percent is a fraction whose denominator is 100.
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.)
34. What is the 'Solution' for a set of inequalities.
The overlapping sections.
The sum of the digits is a multiple of 9.
3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
35. How many sides does a hexagon have?
6
Even
The interesection of A and B.
Factors are few - multiples are many.
36. What are the smallest three prime numbers greater than 65?
1 - P(E)
7 / 1000
A multiple of every integer
67 - 71 - 73
37. Convert 0.7% to a fraction.
5 OR -5
7 / 1000
The direction of the inequality is reversed.
A tangent is a line that only touches one point on the circumference of a circle.
38. Area of a triangle
2
A set with a number of elements which can be counted.
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...
A= (1/2) b*h
39. Describe the relationship between 3x^2 and 3(x - 1)^2
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
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Positive or Negative
Ab+ac
40. The objects in a set are called two names:
Negative
Members or elements
Ø=P(E)=1
23 - 29
41. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
x^(2(4)) =x^8 = (x^4)^2
20.5
The longest arc between points A and B on a circle'S diameter.
(a - b)(a + b)
42. formula for the volume of a cube
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
12.5%
P(E) = number of favorable outcomes/total number of possible outcomes
V=side³
43. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
9
90°
Sum of digits is a multiple of 3 and the last digit is even.
44. What is the graph of f(x) shifted right c units or spaces?
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
Smallest positive integer
Ø
F(x-c)
45. bn
Lies opposite the greater angle
(rate)(time) d=rt
B?b?b (where b is used as a factor n times)
4:5
46. formula for area of a triangle
2(pi)r
A=½bh
Ø Ø=Ø
Undefined
47. To increase a number by x%
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Null
(n-2) x 180
48. If a lamp increases from $80 to $100 - what is the percent increase?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Infinite.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Be Zero!
49. What are the roots of the quadrinomial x^2 + 2x + 1?
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)
Ø
Its last two digits are divisible by 4.
The two xes after factoring.
50. 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?
A=pi*(r^2)
20.5
Parallelogram
441000 = 1 10 10 10 21 * 21