Random Math
A bat and a ball together cost $1.10. The bat costs $1 more than the ball. How much does the ball cost?
$0.05
The series of numbers 1, 2, 4, 8, 16 ... is an example of a geometric sequence (sometimes called a geometric progression).Each term in the progression is found by multiplying the previous number by 2
2
A farmer has 17 sheep, and all but 9 run away. How many sheep does the farmer have left?
9
A square and a rectangle have the same perimeter. Which one has a larger area?
Square
Differentiate
63x^4-39x^3+40x^2+97x-5
252x^3−117x^2+80x+97
If a car travels at 60 km/h for 1 hour, then at 90 km/h for the next hour, what is the average speed for the entire trip?
72km/hr
Sum the series 5 + 9 + 13 +... to 20 terms.
860
I am a three-digit number. My tens digit is five more than my ones digit, and my hundreds digit is eight less than my tens digit. What number am I?
194
A triangle has two angles measuring 40° and 75°. What is the measure of the third angle? Also, classify the triangle based on its angles.
65° scalene triangle, acute-angled triangle
Differentiate d/dx [sin(x)cos(x)]
cos(2x)
If 5 cats catch 5 mice in 5 minutes, how many cats are needed to catch 100 mice in 100 minutes?
5
Find the next number in the sequence:
5, 16, 49, 148, 445, ?
1336
If
1=3
2=3
3=5
4=4
5=4
6=?
3
(because six has three letters)
A circular garden has a diameter of 14 meters. A goat is tied to a post at the edge of the garden with a rope that is 7 meters long.
1/2
Integrate (x^3-x^2)dx with limits (3,2)
119/12
A number is doubled, then increased by 9. The result is 7 less than three times the original number. What is the number?
16
Imagine a chessboard.
Suppose 1 grain of corn is placed on the first square,
2 grains on the second,
4 grains on the third.
8 grains on the fourth,
and so on, doubling each time up to and including the 64th square?
2^64
image
6
A square and a rectangle have the same area. The rectangle has a length of 18 cm and a width of 8 cm.
12cm
Find f(y)
F(x,y)=e^x log(y)
e^x/y
A three-digit number is such that:
The sum of its digits is 15.
The hundreds digit is twice the ones digit.
When the digits are reversed, the new number is 198 less than the original number.
What is the original number?
492
Fill in the blank:
1, 11, 21, 1211, 111221, ?
312211
A cyclist rides 30 km to a town at a speed of 10 km/h. On the way back, he rides at 15 km/h. What is his average speed for the entire journey?
12 km/hr
A rectangle has a length of 10 cm and a width of 5 cm. If you increase both the length and width by 10%, by what percentage does the area increase?
21%
Integrate (xe^x)dx
(x−1)e^x+C