Examples of Common Core math questions include basic math problems, such as 9+5. Older children may learn how to solve problems such as: "Find two equations that have 4(x)-1=8 as the solution."

For instance, math problems beginning with "how many" or "how much" in Common Core curriculum may require the student to rely on multiplication rather than addition. The question, "If there are 9 children and each child receives 3 cookies, how many cookies are needed?" encourages the child to use multiplication to find the solution, while traditional methods rely on basic skills such as addition to solve beginning math problems.

As of 2014, Common Core standards include basic algebraic concepts at an early age. For instance, Core Standards uses the example, "Subtract 7-5 by finding the number that equals 7 when added to 5," to show the method used to teach Common Core subtraction. Addition problems can be broken down by dissecting the numbers in the problem. For instance, the problem "9+1=" may be solved by writing "5+4=9, and 4+1=5, so 5+5=10."

The algebraic concepts are included in many Common Core math questions. Excelined provides the following question as an example of Common Core math questions: "Donna buys 40 apples at 35 cents each. She eats 2 apples and sells the rest for 45 cents each. How much money does she make?" This question is an example of Common Core math that uses more complex expressions than traditional math.