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Money Calculations

邊玩邊學

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課程筆記

Currencies and Notation

  • Common currencies: US Dollars ($), Pounds (£), Euros (€).
  • Always write money to two decimal places (e.g., £1.40, $5.00).
  • For large amounts, rounding to nearest pound/dollar may be appropriate.
  • Check the currency used in the question and match it in your answer.

Basic Operations with Money

  • Total or sum means add amounts.
  • Difference or increase/decrease involves subtraction.
  • Exchange rates require multiplication or division.
  • Read keywords carefully to decide the operation.

Calculating Total Cost

  • Multiply quantity by unit price to find cost of items.
  • Add all individual costs to get the total.
  • Example: 3 tins at $15.95 each = $47.85; add other items for total.
  • Always write down intermediate steps to avoid errors.

Calculating Change

  • Change = amount paid − total cost.
  • Subtract the total from the note/coin given.
  • Example: $10 − $6.80 = $3.20 change.
  • Ensure the answer is in the correct currency and decimal places.

Deals and Discounts

  • 'Buy 3 get 1 free' or '4 for price of 3' reduce cost per item.
  • Calculate total cost after deal, then divide by number of people.
  • Example: 12 burgers, deal 4 for price of 3 → pay for 9 burgers.
  • Work out the price each person pays from the reduced total.

Profit and Percentage

  • Profit = selling price − cost price.
  • Percentage profit = (profit / cost) × 100%.
  • To find selling price with profit: cost × (1 + profit%).
  • Example: cost $1.50, 60% profit → selling price = $1.50 × 1.60 = $2.40.

Wages and Hourly Pay

  • Total pay = hours worked × hourly rate.
  • Overtime often paid at 1.5 times (time‑and‑a‑half) the usual rate.
  • Add regular pay and overtime pay for total earnings.
  • Example: 34 h at $8.25/h + 8 h at $12.375/h = $379.50.

Best Value Comparisons

  • Find unit cost (price per kg, per litre, etc.) to compare sizes.
  • The smallest unit cost gives the best value.
  • Show working: divide price by quantity for each option.
  • Example: 20L bag $10 → $0.50/L; 40L bag $18 → $0.45/L → 40L is better.

Rounding and Accuracy

  • Keep all decimal places during calculations; round only the final answer.
  • For money, round to two decimal places unless context says otherwise.
  • If a price is given to more than 2 d.p. (e.g., £1.579), use it fully in working.
  • Final answer: e.g., £119.455 → £119.46.

Common Question Types

  • Shopping bills: complete missing costs and find total.
  • Change from a note: subtract total from note value.
  • Deposit and instalments: subtract deposit, divide remainder by number of payments.
  • Percentage of tickets sold: (sold / total) × 100%.

投影片

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練習題

免費預覽——43 題中的 8 題。註冊即可查看全部。
  1. 1.A car costs $18160. A deposit of $6460 is paid, and the rest in 24 equal monthly payments. What is each monthly payment?

    Medium
    • A$487.50
    • B$756.67
    • C$1170.00
    • D$757.50
  2. 2.Henry buys 3 tins of paint at $15.95 each, 2 brushes at $7.50 each, and 1 roll of tape at $2.90. What is the total cost?

    Easy
    • A$65.75
    • B$63.25
    • C$62.35
    • D$66.85
  3. 3.Derrick has one coffee ($3.40) and two biscuits ($0.85 each). How much change from a $10 note?

    Easy
    • A$4.90
    • B$5.10
    • C$5.90
    • D$4.10
  4. 4.Jodi swims 22 lengths and receives $15 per length. How much money does she raise?

    Easy
    • A$330
    • B$37
    • C$300
    • D$350
  5. 5.You buy one portion of chicken wings (£5.49) and one water (£1.50). How much change from a £10 note?

    Easy
    • A£3.01
    • B£2.99
    • C£3.99
    • D£2.01
  6. 6.A bill: 2.5 kg potatoes at $1.12 per kg, and some bananas at $1.05 per kg. Total is $4.69. How many kg of bananas?

    Medium
    • A1.8 kg
    • B2.0 kg
    • C1.5 kg
    • D2.2 kg
  7. 7.Rangan buys 3.6 kg potatoes and 2.8 kg leeks. Total cost $13.72. Leeks cost $2.65 per kg. Find cost of 1 kg potatoes.

    Medium
    • A$1.75
    • B$1.40
    • C$2.10
    • D$1.95
  8. 8.A fuel tank holds 52 litres when full. It is a quarter full. Jim fills it with fuel at $2.18 per litre. How much does he pay?

    Medium
    • A$85.02
    • B$84.02
    • C$86.02
    • D$83.02

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