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: 6465
- 20% percentage
If 20% of A = 50% of B, what percentage of A is B? - 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? - Compare ratios
Are the ratios 4:7 and 16:19 equivalent? - Inverse percentages
If a is 40% of b, what percentage of a is b? - 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. - Percent to number
If 75% of a number is 225, what is the number? - 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. - 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. - Five percents What is 5% written as a decimal?
- The election
Three candidates, Adam, Bibiana & Cindy, contested an election and received 1800, 3300, and 3900 votes, respectively. What percent of the total votes did Adam get? - Girls and boys In a class of 50 there are 23 girls and 27 boys, what percent are a. Girls b. boys
- Two numbers 18 The two numbers are respectively 10% and 25% more than the third figure. What percent is the first of the second?
- Cost price 2 If the cost price of 23 toys is equal to the selling price of 20 toys, find the gain or loss percent.
- To percentages Convert the following ratios to percentages. (a) 3 : 4 (b) 2 : 3 (c) 5/8 (d) 15/16
- Kareem
Kareem has completed 68 deliveries so far this week. He needs to make 80 deliveries for the week. What percentage of his deliveries has Kareem completed? - Customers 4
Out of the 510 customers, 150 bought at least two items. What percent bought at least two items? - Long hairs
There were 30 students in a class. Eighteen had long hair. What percentage of the class had long hair? - Fraction function
If Begin equation . . . y equals . . . begin fraction . . . x raised to the second power minus 3 times x plus 10 . . . over . . . x plus 4 . . . end fraction . . . end equation, find f(5). - Award Out of 36 students, 16 were awarded, 19 passed, 1 failed. Determines the percentage of honors and successful students in the class.
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