Time - practice for 14 year olds
Number of problems found: 1022
- Human population
The populations of two cities after t years can be modeled by -150t+50,000 and 50t+75,000 . What is the difference in the populations of the cities when t=4? - Drain and inlet
The reservoir is filled with inflow in 12 hours. It will drain through the drain in 9 hours. Can the tank overflow if we leave the inlet and outlet open at the same time? - Working together
Zeru can complete a certain job in 5 days, and Tulu can complete the same job in 3 days. How long will they complete the job if they work together? - Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ. - Eggs in basket
If the eggs in a basket are removed twice at a time, one will remain. Two eggs will remain if the eggs are removed three at a time. If the eggs are removed four, five, or six at a time, the three, four, and five eggs will remain, respectively. However, no - RST triangle
Find out if it is possible to construct the given triangle and according to which theorem: RS = 2.5 cm ST = 7 cm TR = 4.5 cm - The sum 41
The sum of 640.00 was deposited in the first bank for five years, and the interest given was 160.00. Find the rate. - Sam's
Sam's age is x. His sister Jo is 2 years more than 1.1 times his age. Question: What is Jo's age in terms of x? Write an equation to find x if the sum of Sam's and Jo's ages is 44. - A tip
Determine a 20% tip for a dinner that costs $65.00. - A man 15
A man owns a piece of land worth 0.6 million. He taxed in 3/4 of its value at the rate of ₱7.00 per 1000. How much is he paying for the tax on his property? - Glue strength
At 40°C, it takes 3 hrs to get 125% glue strength. How long does it take to get 100% at 50 ˚C? The higher the temperature, the faster it cures the glue. - Ekene and Amina
The probability that Ekene will be alive in 5 years' time is 3/4, and the probability that his wife Amina will be alive in 5 years' time is 2/5. Find the probability that in 5 years' time: a) both of them will be alive b) only Ekene will be alive - The temperature 46
The temperature in Mumbai at 5 AM is 25 degrees Celsius. It rises 3 degrees Celsius every hour for the next two hours and then 5 degrees Celsius per hour for the next 3 hours. What is the temperature after 5 hours? - Water 70
Water is poured into a hemisphere-shaped bowl at a rate of 5m³ per second. If the bowl has a depth of 8m, how long does it take to fill up the bowl to the rim? - General right triangle
In a right triangle, if a =x+34 and b = x and c= 50, then solve for x. Side c is a hypotenuse. Then discuss the case when a or b is a hypotenuse. - Bank deposits
At the end of each quarter, Patti deposits $1,400 into an account that pays 10% interest compounded quarterly. How much will Patti have in the account in three years? Note: Use tables, Excel, or a financial calculator round your final answer to the neares - Amy, Cindy
Amy, Cindy, and John shared a sum of money among themselves in the ratio of 5:8:11, respectively. If the money had been divided equally among themselves, Amy would have received an extra $18. (a) Would the amount of money that Cindy received change? Expla - Dinesh 2
Dinesh left town L for town M at a constant speed and took 10 hours to complete the journey. At the same time, Saanvi left town M for town L, traveled at a constant speed, and took 6 hours to complete the journey. They both passed each other at a point 72 - A right
A right triangle has side lengths a=3, b=5, and c=4, as shown below. Use these lengths to find tan x, sin x, and cos x. - Sami received
Sami received a salary of € 73.50 for 7 hours. How much would the salary have been in 8 hours?
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