Fractions, Decimals, and Percentages Flashcards

A hardware store is offering a 20% discount on all power tools. If a drill is originally priced at £85.00, what is the price after the discount is applied?

Answer: £68.00

To find the discount amount, calculate 20% of £85.00 (0.20 * 85 = £17.00). Then, subtract the discount from the original price (£85.00 - £17.00 = £68.00).

An apprentice is asked to cut a piece of wood that is 2.5 metres long into 5 equal pieces. What is the length of each piece in centimetres?

Answer: 50 cm

First, convert the total length from metres to centimetres (2.5 metres * 100 cm/metre = 250 cm). Then, divide the total length in centimetres by the number of pieces (250 cm / 5 = 50 cm).

Which of the following values is the largest?

Answer: 78%

To compare the values, convert them all to the same format, such as decimals. 3/4 = 0.75. 0.7 remains 0.7. 78% = 0.78. 5/8 = 0.625. Comparing the decimals (0.75, 0.70, 0.78, 0.625), 0.78 is the largest value.

A recipe requires 3/4 of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Answer: 3/8 cup

To find half of the required flour, you need to multiply the fraction 3/4 by 1/2. (3/4) * (1/2) = 3/8. So, you would need 3/8 of a cup of flour.

In a survey of 200 employees, 150 said they were satisfied with their job. What percentage of employees are satisfied?

Answer: 75%

To find the percentage, divide the number of satisfied employees by the total number of employees and then multiply by 100. (150 / 200) * 100 = 0.75 * 100 = 75%.

A customer's bill comes to £45.60. They pay with a £50 note. How much change should they receive?

Answer: £4.40

To calculate the change, subtract the bill amount from the amount paid. £50.00 - £45.60 = £4.40.