Grade DE Fractions and percentages Interpret fractions and

Grade D/E Fractions and percentages Interpret fractions and percentages as operators If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key vocabulary Fraction Percentage Express Calculate Operator

How to express a fraction as a percentage Non- Calculator 1. Express 24 out of 60 as a percentage ÷ 3 x 5

How to express a fraction as a percentage Calculator 2. Tom scored 48 out of 70 in his recent English test. What was his mark as a percentage? To change a fraction to a percentage you must multiply by 100 Now using a calculator…. 48 ÷ 70 = 0. 68571429 x 100 = 69% to the nearest percentage

How to calculate a fraction of an amount • Divide by the denominator: 344 ÷ 8 0 4 3 3 2 8) 3 4 4 Multiply the answer by the numerator: 43 x 3 4 3 X 3 1 2 9

How to calculate a percentage of an amount 4. Tony wants to purchase a laptop costing £ 455 plus 20% vat. Work out the total cost of the laptop. Non Calculator Method: 10% of £ 455 ÷ 10 = 45. 5 20% 45. 5 x 2 = 91 455 + 91 = £ 546 Calculator Method: 20 ÷ 100 = 0. 2 x 455 = 91 455 + 91 = £ 546

Interpreting fractions and percentages as operators-Now you try…. . • are

Interpreting fractions and percentages as operators-Now you try…. . • =80 =3500 =52% =£ 594 =90% are =75 apples =12. 8 = 13 boys =£ 60

Problem solving and reasoning Joanne completes her English controlled assessment. The table shows the results that Joanne can get for different percentages in her assessment. Joanne gets 63 out of 75. What result does Joanne get? You must show your working. Percentage Result 50% and above Pass 60% and above Merit 85% - 100% Distinction

Problem solving and reasoning Joanne completes her English controlled assessment. The table shows the results that Joanne can get for different percentages in her assessment. Joanne gets 63 out of 75. What result does Joanne get? You must show your working. Percentage Result 50% and above Pass 60% and above Merit 85% - 100% Distinction

Problem solving and reasoning •

Problem solving and reasoning • 800 – 240 = 360 adults

Problem solving and reasoning David buys a car for £ 10, 800 After a 2 years he sells the car for £ 8500 What was the percentage loss on the car?

Problem solving and reasoning David buys a car for £ 10, 800 After a 2 years he sells the car for £ 8500 What was the percentage loss on the car?