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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 product of odd number of negative numbers
Negative
No - only like radicals can be added.
360°
C = (pi)d
2. 30< all primes<40
31 - 37
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.)
16.6666%
2.592 kg
3. 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))?
2.592 kg
1
20.5
1
4. Find distance when given time and rate
D=rt so r= d/t and t=d/r
The sum of its digits is divisible by 3.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(a - b)(a + b)
5. What is the empty set?
No - only like radicals can be added.
A set with no members - denoted by a circle with a diagonal through it.
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.)
4.25 - 6 - 22
6. In any polygon - all external angles equal up to
360°
A reflection about the origin.
N! / (n-k)!
The longest arc between points A and B on a circle'S diameter.
7. Evaluate 4/11 + 11/12
4.25 - 6 - 22
1 & 37/132
31 - 37
13
8. If a lamp decreases to $80 - from $100 - what is the decrease in price?
Two (Ø×2=Ø)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
61 - 67
Factors are few - multiples are many.
9. a(b+c)
Even prime number
The steeper the slope.
Ab+ac
A=½bh
10. Dividing by a number is the same as multiplying it by its
6 : 1 : 2
Reciprocal
Ø
The overlapping sections.
11. 8.84 / 5.2
Ø Ø=Ø
V=side³
1.7
(a - b)^2
12. 25/2³
2²
Negative
The steeper the slope.
F(x + c)
13. What is the name for a grouping of the members within a set based on a shared characteristic?
Null
y2-y1/x2-x1
The set of elements found in both A and B.
A subset.
14. (a^-1)/a^5
1/a^6
90
70
angle that is greater than 90° but less than 180°
15. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
90
C = (pi)d
P=2(l+w)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
16. a(b-c)
Ab-ac
37.5%
An expression with just one term (-6x - 2a^2)
Add them. i.e. (5^7) * (5^3) = 5^10
17. The reciprocal of any non-zero number is
1/x
(rate)(time) d=rt
an angle that is less than 90°
1
18. How to find the circumference of a circle which circumscribes a square?
360°
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
61 - 67
2²
19. Formula for the area of a sector of a circle?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
12! / 5!7! = 792
Sector area = (n/360) X (pi)r^2
x - x(SR3) - 2x
20. 20<all primes<30
10! / 3!(10-3)! = 120
1
An infinite set.
23 - 29
21. What is a central angle?
A central angle is an angle formed by 2 radii.
(x+y)(x-y)
13pi / 2
5
22. The sum of the angles in a quadrilateral is
Subtract them. i.e (5^7)/(5^3)= 5^4
7 / 1000
V=l×w×h
360°
23. Volume of a rectangular solid
3 - 4 - 5
6 : 1 : 2
72
(length)(width)(height)
24. binomial product of (x+y)(x-y)
1 & 37/132
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
x²-y²
Ab=k (k is a constant)
25. Whats the difference between factors and multiples?
288 (8 9 4)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Factors are few - multiples are many.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
26. a^2 - b^2 =
(a - b)(a + b)
Undefined - because we can'T divide by 0.
The second graph is less steep.
130pi
27. Probability of Event all cases
Ø=P(E)=1
13
(b + c)
71 - 73 - 79
28. the slope of a line in y=mx+b
(p + q)/5
M
5
61 - 67
29. When multiplying exponential #s with the same base - you do this to the exponents...
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)
Add them. i.e. (5^7) * (5^3) = 5^10
28. n = 8 - k = 2. n! / k!(n-k)!
1 - P(E)
30. binomial product of (x-y)²
(x+y)(x-y)
75:11
12sqrt2
An arc is a portion of a circumference of a circle.
31. Is 0 even or odd?
130pi
Ø Ø=Ø
y/x is a constant
Even
32. What does scientific notation mean?
3
13
(a - b)(a + b)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
33. An Angle that'S 180°
= (actual decrease/Original amount) x 100%
(length)(width)(height)
67 - 71 - 73
Straight Angle
34. (12sqrt15) / (2sqrt5) =
Sector area = (n/360) X (pi)r^2
Subtract them. i.e (5^7)/(5^3)= 5^4
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
35. 10<all primes<20
Ø=P(E)=1
11 - 13 - 17 - 19
The overlapping sections.
A subset.
36. The perimeter of a square is 48 inches. The length of its diagonal is:
4.25 - 6 - 22
12sqrt2
75:11
x - x+1 - x+2
37. If a product of two numbers is Ø - one number must be
Ø
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(length)(width)(height)
NOT A PRIME
38. How many 3-digit positive integers are even and do not contain the digit 4?
A²+b²=c²
(base*height) / 2
288 (8 9 4)
2²
39. What are congruent triangles?
Triangles with same measure and same side lengths.
27
26
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...
40. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
7 / 1000
1
2 & 3/7
(base*height) / 2
41. 5x^2 - 35x -55 = 0
1/a^6
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
3 - -3
N! / (n-k)!
42. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
A set with no members - denoted by a circle with a diagonal through it.
(2x7)³
Cd
43. 50 < all primes< 60
27^(-4)
Right
12! / 5!7! = 792
53 - 59
44. Formula to find a circle'S circumference from its diameter?
C = (pi)d
72
A+c<b+c
67 - 71 - 73
45. The product of any number x and its reciprocal
3
Subtract them. i.e (5^7)/(5^3)= 5^4
An is positive
1
46. The Perimeter of a Square
9 : 25
P=4s (s=side)
441000 = 1 10 10 10 21 * 21
V=side³
47. Slope of any line that goes down as you move from left to right is
Negative
A = pi(r^2)
Ø
(amount of decrease/original price) x 100%
48. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Triangles with same measure and same side lengths.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
C = 2(pi)r
A 30-60-90 triangle.
49. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
83.333%
A central angle is an angle formed by 2 radii.
A+c<b+c
50. a>b then a - b is positive or negative?
9 : 25
A-b is positive
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
12.5%