Number Starter GREEN 48 3 6 5 34
Number
Starter GREEN 48 3 +6 5 + 34 4 +9 - 13 times itself ½ of it ANSWER 72
Starter YELLOW 97 double it - 18 25% of it 7/ 11 of it 9 4 + 13 4 times itself ANSWER 361
Starter RED 375 2/ 5 of it 80% of it + 1/10 of it 12 times itself + 200% of it - 178 - 1/5 of it + ¼ of it ANSWER 185
How do I solve problems in maths? Identify Communicate
Max is saving to buy a computer game that costs £ 26. He saves 5 p, 10 p and 50 p coins in a jar. The ratio of 5 p to 10 p to 50 p coins is 2 : 5 : 1 There are 120 coins in the jar. How much more does he need to save?
Solution Max is saving to buy a computer game that costs £ 26. He saves 5 p, 10 p and 50 p coins in a jar. The ratio of 5 p to 10 p to 50 p coins is 2 : 5 : 1 Sharing in a ratio There are 120 coins in the jar. Pence Pounds How much more does he need to save? Four operations 8 parts = 120 coins 1 part = 120/8 = 15 coins 5 p : 10 p : 50 p 30 : 75 : 15 5 p = 30 x 5 = 150 p = £ 1. 50 10 p = 75 x 10= 750 p = £ 7. 50 50 p = 15 x 50 = 750 p = £ 7. 50 Total in jar = £ 16. 50 Extra money needed: £ 26 - £ 16. 50 = £ 9. 50
Mike earns £ 2450 per month before deductions. He pays income tax on his earnings at a rate of 20%. His National Insurance contributions are exactly half of what he pays in income tax. He pays £ 150 a month into a pension scheme, and £ 100 a month off his student loan. 30% of Mike’s earnings after deductions are spent on rent. He also buys a new TV for £ 249 this month in the sale. After deducting all of these outgoings, he saves 1/4 of what he has left for his summer holiday (rounded to the nearest £ 10) How much money does Mike have left to spend this month?
Solution Income (gross) = £ 2450 Deductions Tax = £ 490 National Insurance = £ 245 Pension = £ 150 Student Loan = £ 100 TOTAL = £ 985 Expenditure Rent = £ 439. 50 TV = £ 249 TOTAL = £ 688. 50 £ 2450 - £ 985 - £ 688. 50 = £ 776. 50 Savings (rounded) = £ 190 Money left over = £ 586. 50
Extended Task Audi R 8 BMW M 4 Value: £ 118, 000 Value: £ 65, 000 First year depreciation: 22% Consecutive years depreciation: 13% First year depreciation: 11% Consecutive years depreciation: 9% Which car will be worth more money in 5 years time, and by how much?
Solution Audi R 8 BMW M 4 Value: £ 118, 000 Value: £ 65, 000 First year depreciation: 22% Consecutive years depreciation: 13% First year depreciation: 11% Consecutive years depreciation: 9% End of Year 1: £ 92, 040 End of Year 5: £ 55, 729. 50 End of Year 1: £ 57, 850 End of Year 5: £ 39, 670. 62 £ 55, 729. 50 - £ 39, 670. 62 = £ 13, 058. 88 Would this still be the case after 10 years?
Exit Pass – Spot The Mistake. . . The diagram shows three rows of rectangles. Each row in the diagram is the same height. • The 1 st row is made up of 2 equal sized rectangles. • The 2 nd row is made up of 3 equal sized rectangles. • The 3 rd row is made up of 4 equal sized rectangles. Find the fraction of the shape that is shaded.
Correct Solution (1/2 x 1/3) + (1/3 x 1/3) + (1/4 x 1/3) = 1/6 + 1/9 + 1/12 = 6/36 + 4/36 + 3/36 = 1/3 What do you notice about the correct answer? Is this always the case? Prove it!
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