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Analyzing Delivery Costs and Currencies

Solve mathematical problems involving delivery costs, currency conversions, and geometric figures. Learn to interpret graphs, calculate differences, and determine total costs in various scenarios.

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Analyzing Delivery Costs and Currencies

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  1. What is the question asking me? What information do I already have? What Maths will I be using? What calculations / working out do I need to do? How can I check that my answer is correct?

  2. A03 Question Two companies, Barry's Bricks and Bricks ArUs, deliver bricks. The graph shows the delivery costs of bricks from both companies. Prakash wants Bricks ArUs to deliver some bricks. He lives 2 miles away from Bricks ArUs. (a) Write down the delivery cost. .............................................................................................................................................. John needs to have some bricks delivered. He lives 4 miles from Barry's Bricks. He lives 5 miles from Bricks ArUs. (b) Work out the difference between the two delivery costs. .............................................................................................................................................. (Total for Question is 4 marks)

  3. What is the difference between the two delivery costs? Reading information from a graph. Subtraction. Barry’s Bricks £50 Bricks R Us £65 £65 - £50 = £15 £50 + £15 = £65

  4. Solution

  5. What is the question asking me? What information do I already have? What Maths will I be using? What calculations / working out do I need to do? How can I check that my answer is correct?

  6. A03 Question * Barbara goes on holiday to Prague. The currency in Prague is the Koruna (KC). This graph can be used to convert between £ (pounds) and KC (Koruna). The exchange rate is £1 = 30 KC. Barbara bought some things in London. She saw the same things on sale in Prague. The table shows the cost in £ (pounds) and the cost in KC (Koruna). Barbara thinks the total cost of these things was more in London than in Prague. Is she correct? Give a reason for your answer. You must show all your working. (Total for Question is 5 marks)

  7. Converting between currencies, Addition, Multiplication, Division Is the total cost more in London or in Prague London £15 + £34 + £ 26 = £75 £1 = 30KC £75 x 30 = 2250KC Prague 450KC + 750KC +810KC = 2010KC She is wrong, 2050KC is more than 2010KC so cheaper in Prague. 2010KC ÷ 30 = £67 £67 is less than £75

  8. Solution

  9. What is the question asking me? What information do I already have? What Maths will I be using? What calculations / working out do I need to do? How can I check that my answer is correct?

  10. A03 Question The diagram shows a garden in the shape of a rectangle. All measurements are in metres. The perimeter of the garden is 32 metres. Work out the value of x . . . . . . . . . . . . . . . . . . . . . . (Total for Question is 4 marks)

  11. Write an expression Simplify Use inverse operations Solve an Equation To calculate perimeter add the lengths of all the sides. Perimeter = 32cm 4 + 3x + x + 6 + 4 + 3x + x + 6 Length 4 + (3 x 1.5) = 8.5 Width 1.5 + 6 = 7.5 8.5 + 7.5 = 16 16 x 2 = 32 Perimeter = 8x + 20 8x + 20 = 32 8x = 12 x = 1.5

  12. Solution

  13. What is the question asking me? What information do I already have? What Maths will I be using? What calculations / working out do I need to do? How can I check that my answer is correct?

  14. ABC is a triangle. Angle ABC = angle BCA. The length of side AB is (3x − 5) cm. The length of side AC is (19 − x) cm. The length of side BC is 2x cm. Work out the perimeter of the triangle. Give your answer as a number of centimetres. A03 Question (Total for Question is 5 marks)

  15. Solve an Equation Work out the Perimeter To calculate perimeter add the lengths of all the sides. Isosceles triangles have two equal sides. Write an equation Solve an equation Substitute the value of x into the equation 3x – 5 = 19 – x 4x – 5 = 19 4x = 24 x = 6 If x = 6 3x – 5 = 13 19 – x = 13 So x = 6 19 – 6 = 13 6 x 2 = 12 13 + 13 + 12 = 38cm

  16. Solution

  17. What is the question asking me? What information do I already have? What Maths will I be using? What calculations / working out do I need to do? How can I check that my answer is correct?

  18. A03 Question * Bill uses his van to deliver parcels. For each parcel Bill delivers there is a fixed charge plus £1.00 for each mile. You can use the graph to find the total cost of having a parcel delivered by Bill. (a) How much is the fixed charge? £ . . . . . . . . . . . . . . . . . . . . . . (a) Ed uses a van to deliver parcels. For each parcel Ed delivers it costs £1.50 for each mile. There is no fixed charge. (b) Compare the cost of having a parcel delivered by Bill with the cost of having a parcel delivered by Ed. (Total for Question is 4 marks)

  19. Compare two delivery costs. Plot information onto a graph. Ed is cheaper up to 20 miles. Ed and Bill cost the same for 20 miles. Bill is cheaper after 20 miles. Plot the information from the table onto the graph. The graphs cross at 20 miles. Before 20 miles the graph for Bill is steeper. After 20 miles the graph for Ed is steeper.

  20. Solution

  21. What is the question asking me? What information do I already have? What Maths will I be using? What calculations / working out do I need to do? How can I check that my answer is correct?

  22. There are 300 ml of medicine in a bottle. Mary has to take two 5 ml spoons full of medicine twice a day. Mary has to take the medicine until the bottle is empty. (a) How many days does Mary have to take the medicine for? . . . . . . . . . . . . . . . . . . . . . . Days You can work out the amount of medicine, c ml, to give to a child by using the formula c = ma⁄150 m is the age of the child, in months. a is an adult dose, in ml. A child is 30 months old. An adult's dose is 40 ml. (b) Work out the amount of medicine you can give to the child . . . . . . . . . . . . . . . . . . . . . . ml (Total for Question is 5 marks) A03 Question

  23. How many days does Mary take the medicine for? How much medicine can you give a child? Substitution into a formula. Multiplication Division a) 5ml x 2 = 10ml 10ml x 2 = 20ml a day 300ml ÷ 20 = 15 days b) (Age of child x adult dose) ÷ 150 (30 x 40) ÷ 150 1200 ÷ 150 = 8 ml a) 20ml a day x 15 days = 300ml b) 8 x 150 = 1200

  24. Solution

  25. What is the question asking me? What information do I already have? What Maths will I be using? What calculations / working out do I need to do? How can I check that my answer is correct?

  26. A03 Question The diagram shows shape A. All the measurements are in centimetres. (a) Find an expression, in terms of x, for the perimeter of shape A. . . . . . . . . . . . . . . . . . . . . . A square has the same perimeter as shape A. (b) Find an expression, in terms of x, for the length of one side of this square. . . . . . . . . . . . . . . . . . . . . . (Total for Question is 4 marks)

  27. Write an expression for the perimeter. To calculate perimeter add all the sides together. Write an expression for the missing sides. Write an expression for perimeter Simplify The missing sides are 2x + 1 and 3x + 3 Perimeter of shape = 16x + 8 Side of square = (16x + 8) ÷ 4 Side of square = 4x + 2 4x + 2 4x + 2 4x + 2 4x + 2 4(4x + 2) = 16x + 8

  28. Solution

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