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: 6633
- Inflation again
If the price of a commodity increases by 85%, by what percentage should consumption be reduced so that spending increases by only 48%? - A race 2
In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, by how many metres will C beat B? - 20% percentage If 20% of A = 50% of B, what percentage of A is B?
- Bags of sugar
After I had used 1/5 of a bag of sugar and then used 1/4 of what was left, I had 60 g of sugar remaining. How much did I start with? - Cookies - flour
A recipe for cookies calls for 3 cups of flour to make 24 cookies. If you want to make 40 cookies using the same recipe, how many cups of flour will you need? - Jerseys
The football team has a total of 20 jerseys. There are 4 medium-sized jerseys. What percentage of the jerseys are medium-sized? - Cycloshop
On increasing the price of a bicycle by 14%, it becomes Rs 1,425. What was its original price? - A liter of a milk
One litre of milk costs Rs 42.50. What will be the cost of 2.5 litres? - Compare ratios
Are the ratios 4:7 and 16:19 equivalent? - A watch
If a watch is sold for $60, there is a loss of 15%. At what price must the watch be sold to make a profit of 2%? - Somebody
Somebody spends 5% of his wages on school fees. That amounts to 800 shillings. How much does he earn? - Inverse percentages
If a is 40% of b, what percentage of a is b? - A furniture
A furniture dealer bought a dining set for $12,000. At what price should the dealer sell this set, offering a 5% discount while still making a 10% profit? - Scholarship 3
The ratio of boys to girls in a school is 3:2. If 20% of boys and 25% of girls are scholarship holders, find the percentage of students who are not scholarship holders. - The profit 5
A man buys 12 pens for €60 and sells them at 5 pens for €30. 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 the gain or loss percentage.
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