Basic operations and concepts - practice problems
In mathematics, basic functions are fundamental operations or relationships that map inputs to outputs. The most common types include:1. Linear functions (e.g., f(x) = mx + b ) graph as straight lines with constant slope.
2. Quadratic functions (e.g., f(x) = ax2 + bx + c ) form parabolas and model acceleration or area.
3. Exponential functions (e.g., f(x) = a^x ) grow/decay rapidly and appear in population or interest calculations.
4. Trigonometric functions (e.g., sin(x), cos(x) ) relate angles to ratios in triangles and model periodic phenomena.
5. Polynomial functions (e.g., f(x) = x3 - 2x ) combine terms with powers and are used in approximations and physics.
These functions form the foundation for advanced mathematical concepts.
Number of problems found: 6371
- A liter of a milk
A one liter of a milk cost is Rs 42.50. What will be the cost of 2.5 liters? - Compare ratios
Is ratios 4:7 and 16:19 equivalent? - A watch
If a watch is sold at 60 USD, there is a loss of 15%, for a profit of 2%, the watch is to be sold at how many USD? - Somebody
Somebody spend 5% of his wages on paying school fees. That is 800 shillings . How much does he earn? - Inverse percentages
If a is 40 percent of b then, what percent is b of a? - A furniture
A furniture dealer bought a dining set at 12000 USD. At what price would the dealer sell this set by offering a discount of 5% and still make a profit of 10%? - Scholarship 3
The ratio of number of boys to that of the girls in a school is 3:2. If 20% of boys and 25% of the girls are scholarship holders, find the percentage of those who are not scholarship holders?
- The profit 5
A man buys 12 pens for 60 eur and sells them at 5 pens for 30 euros. What is his profit percentage? - Percent to number
If 75% of a number is 225, what is the number? - Susan 4
Susan went to school for 219 days in a full year. If her attendance is 75%, find the number of days on which the school was open. - Literacy ratio
The town's population is 311250. The ratio of women to men is 43: 40. If 24% of men and 8% of women are literate, then find the total number of literate persons in the town. - Directly proportional
A person earns directly proportional to the number of hours she works daily. If she works h hours one day and makes s dollars an hour, what is the total amount she earns for the day in terms of h and s? - Selling cloth
By selling 33 m of cloth, a shopkeeper loses an amount equal to the selling price of 3 m of cloth. Find his gain or loss percentage. - Cement, sand, and gravel
Concrete tiles are made using buckets of cement, sand, and gravel mixed in a ratio of 1:4:6. How many buckets of gravel are needed for 4 buckets of cement? - Full-tank
A full-tank of petrol a car lasts for 10 days. If driver starts using 25% more everyday, how many days will the full-tank petrol last?
- A recycling
A recycling bin contained 40 pounds of plastic in October and 50 pounds of plastic in November. By what percentage did the amount of plastic increase from October to November? - Gain or loss
A man purchases a certain number of apples at 3/eur and same number of apples at 4/euros. He mixed them together and sells them at 3/euros. What is the gain or loss percent? Write answer as number, loss as negative, gain as positive percent. - Saving from salary
A man spends 65% of his salary and saves 525 euros/month. Find his monthly salary. - An examination
In an examination there were 1000 boys and 800 girls. 60% of the boys and 50% of the girls passed. Find the percent of candidates failed. - The profit 4
By selling an article for 19.25 USD a trader makes a profit of 25% How much must he sell the article to make a profit of 40 %?
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