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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. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
NOT A PRIME
18
A 30-60-90 triangle.
A=(base)(height)
2. Factor x^2 - xy + x.
x(x - y + 1)
Ab-ac
The longest arc between points A and B on a circle'S diameter.
Can be negative - zero - or positive
3. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
72
P(E) = ø
Add them. i.e. (5^7) * (5^3) = 5^10
4. 6w^2 - w - 15 = 0
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
180 degrees
3/2 - 5/3
x²-2xy+y²
5. To increase a number by x%
True
9 & 6/7
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
A central angle is an angle formed by 2 radii.
6. If a lamp increases from $80 to $100 - what is the percent increase?
2(pi)r
Its divisible by 2 and by 3.
All numbers multiples of 1.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
7. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
an angle that is less than 90°
N! / (n-k)!
A reflection about the axis.
(x+y)(x-y)
8. 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?
Positive
10! / (10-3)! = 720
27
(distance)/(rate) d/r
9. What is the ratio of the sides of an isosceles right triangle?
ODD number
180°
Ab+ac
1:1:sqrt2
10. First 10 prime #s
(length)(width)(height)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(2x7)³
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
11. 5/8 in percent?
62.5%
360°
(a - b)(a + b)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
12. What are the smallest three prime numbers greater than 65?
True
(base*height) / 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)
67 - 71 - 73
13. ز
(a - b)(a + b)
(b + c)
A-b is negative
Ø
14. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
7 / 1000
Members or elements
180°
15. What is the 'Solution' for a system of linear equations?
2(pi)r
The point of intersection of the systems.
18
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
16. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
Undefined - because we can'T divide by 0.
48
Lies opposite the greater angle
1:1:sqrt2
17. Find distance when given time and rate
D=rt so r= d/t and t=d/r
(distance)/(rate) d/r
Even
F(x-c)
18. 30 60 90
x²+2xy+y²
x - x(SR3) - 2x
61 - 67
28. n = 8 - k = 2. n! / k!(n-k)!
19. What is a chord of a circle?
A reflection about the origin.
A chord is a line segment joining two points on a circle.
An expression with just one term (-6x - 2a^2)
Pi is the ratio of a circle'S circumference to its diameter.
20. The Perimeter of a rectangle
P=2(l+w)
Can be negative - zero - or positive
The greatest value minus the smallest.
5 - 12 - 13
21. Ø Is neither
x - x(SR3) - 2x
M= (Y1-Y2)/(X1-X2)
= (actual decrease/Original amount) x 100%
Positive or Negative
22. Slope of any line that goes up from left to right
Positive
Sum of digits is a multiple of 3 and the last digit is even.
180°
4.25 - 6 - 22
23. 7 divided by Ø
D/t (distance)/(time)
(base*height) / 2
Null
Straight Angle
24. Ø divided by 7
x^(4+7) = x^11
55%
1.0843 X 10^11
Ø
25. -3³
27
Its last two digits are divisible by 4.
360°
Indeterminable.
26. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
Negative
x^(6-3) = x^3
(base*height) / 2
4.25 - 6 - 22
27. X is the opposite of
2 & 3/7
Subtract them. i.e (5^7)/(5^3)= 5^4
X
Right
28. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
M
The steeper the slope.
180
x(x - y + 1)
29. Which is greater? 64^5 or 16^8
0
The shortest arc between points A and B on a circle'S diameter.
(a + b)^2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
30. If a<b - then
A+c<b+c
Every number
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.
31. Legs 5 - 12. Hypotenuse?
NOT A PRIME
13
Ø Ø=Ø
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
32. x^6 / x^3
The set of output values for a function.
The shortest arc between points A and B on a circle'S diameter.
(2x7)³
x^(6-3) = x^3
33. Area of a rectangle
Ø
x^(6-3) = x^3
A = length x width
90°
34. The only number that is equal to its opposite
A set with no members - denoted by a circle with a diagonal through it.
12! / 5!7! = 792
Ø Ø=Ø
Its divisible by 2 and by 3.
35. If a product of two numbers is Ø - one number must be
2
The longest arc between points A and B on a circle'S diameter.
3/2 - 5/3
Ø
36. 1/8 in percent?
Its last two digits are divisible by 4.
x²-y²
12.5%
1
37. Volume of a rectangular solid
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(length)(width)(height)
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.
Do not have slopes!
38. How many multiples does a given number have?
360°
(amount of decrease/original price) x 100%
Infinite.
Ø
39. 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
(length)(width)(height)
3 - -3
Parallelogram
40. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
(x+y)(x+y)
71 - 73 - 79
52
41. The consecutive angles in a parallelogram equal
180°
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
A²+b²=c²
42. The ratio of the areas of two similar polygons is ...
9
A subset.
... the square of the ratios of the corresponding sides.
F(x) + c
43. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
3
52
Positive or Negative
44. The reciprocal of any non-zero number is
Positive
A²+b²=c²
1/x
The sum of its digits is divisible by 3.
45. What is the measure of an exterior angle of a regular pentagon?
Ab+ac
2
72
Positive
46. How to determine percent decrease?
12.5%
(amount of decrease/original price) x 100%
90pi
Ab-ac
47. Which is greater? 200x^295 or 10x^294?
28
2 & 3/7
C = (pi)d
Relationship cannot be determined (what if x is negative?)
48. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
Sum of digits is a multiple of 3 and the last digit is even.
6
3x - 4x - 5x
49. 0^0
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
10
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.)
Undefined
50. How many 3-digit positive integers are even and do not contain the digit 4?
10
3 - -3
23 - 29
288 (8 9 4)