# Year Six Mathematics Worksheets

Arithmetic is an important part of mathematics that involves basic calculations, such as addition, subtraction, multiplication, and division. One important arithmetic skill that is especially useful in everyday life is working with percents and discounts.

A percent is a unit of measurement that represents a portion of a whole, with 100% being equal to the whole. For example, if a pizza is cut into 8 equal slices, each slice would be 12.5% of the whole pizza. Percents are often used to express discounts and increases in price, which can help children understand the cost of goods and services.

When shopping, children may encounter discounts expressed as a percent off the original price. For example, a toy that normally costs $10 may be on sale for 20% off, meaning that 20% of the original price is being taken away. To calculate the discount, one would first convert the percent to a decimal by dividing it by 100. In this case, 20% would become 0.2 as a decimal. Then, multiply the original price by this decimal to find the discount, which in this case would be $2. Subtracting the discount from the original price gives you the discounted price of $8.

It is also possible to express discounts as a fraction of the original price, which can help children understand the concept of discount in a different way. In this example, the 20% discount would mean that 20% of the original price, or 1/5, is being taken away. By dividing the original price by the fraction, children can find the amount of the discount. In this case, dividing $10 by 5 would give you $2, which is the amount of the discount.

In addition to discounts, percents can also be used to express increases in price. For example, if a product that originally cost $10 increases in price by 20%, the new price would be $12, which is $10 plus 20% of $10. To calculate the increase, one would first convert the percent to a decimal and then multiply the original price by the decimal to find the amount of the increase. In this case, 20% would become 0.2 as a decimal and multiplying $10 by 0.2 gives you $2, which is the amount of the increase.

In conclusion, understanding percents and discounts is an important arithmetic skill that can help children make informed decisions when shopping and better understand the cost of goods and services. By learning how to calculate discounts and increases in price, children can develop a strong foundation in arithmetic that will serve them well in their future studies and in life.

# Year Six Math Worksheet for Kids – Arithmetic Skill: Percents and Discounts

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