MATH OLYMPIAD- GRADE -6

Front

What is the relationship between Xavier and Peter's money if Xavier has 5 times more money than Peter?

Back

If Peter has x dollars, then Xavier has 5x dollars. Together, they have 42 dollars: x + 5x = 42, which simplifies to 6x = 42, so x = 7. Therefore, Peter has 7 dollars and Xavier has 35 dollars.

Front

How do you calculate a 15% tip on a total bill of $30.00?

Back

To calculate a 15% tip, multiply the total bill by 0.15. For a $30.00 bill: 30 * 0.15 = $4.50.

Front

What is the total distance Linda runs if she runs from point A to B to D to C in a rectangular field?

Back

The total distance is the sum of the lengths of the sides she runs along. If the total distance is given as 130m, then that is the answer.

Front

What expression represents the total amount of money saved after x days if you start with $50 and save $4 each day?

Back

The expression is 4x + 50, where 4x represents the total savings after x days and 50 is the initial amount.

Front

How do you represent the location of a submarine that is 1800 ft below sea level and dives another 1500 feet deeper?

Back

The submarine's location can be represented as -3300 feet, since it is 1800 feet below sea level (-1800) and dives another 1500 feet deeper (-1500), resulting in -1800 - 1500 = -3300.

Front

What is the formula for calculating the total amount of money after saving a fixed amount daily?

Back

The formula is Total Amount = Initial Amount + (Daily Savings * Number of Days), or A = P + (d * x), where A is the total amount, P is the initial amount, d is daily savings, and x is the number of days.

Front

How do you solve for an unknown in a linear equation?

Back

To solve for an unknown, isolate the variable on one side of the equation by performing inverse operations on both sides.

Front

What is the concept of ratios in relation to money distribution?

Back

A ratio compares two quantities, showing how much of one thing there is compared to another. For example, if Xavier has 5 times the money of Peter, the ratio of Xavier's money to Peter's money is 5:1.

Front

How do you calculate percentages in real-life scenarios?

Back

To calculate a percentage, divide the part by the whole and multiply by 100. For example, to find 15% of $30, calculate (15/100) * 30.

Front

What is the significance of negative integers in real-world contexts?

Back

Negative integers represent values below a defined point, such as below sea level or in debt. They are used to indicate loss or depth.