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CAEC Mathematics Preparation Course：Number sense: money, percentages, rates and ratios

不限时专题测验：关于Number sense: money, percentages, rates and ratios的17道题，每道题作答后都有解释。每次题目和选项都会重新打乱。

  • 课程
  • 加拿大
  • 100道题
  • 核对于2026年10月13日
  • 事实核查：2026年10月13日
从课文开始CAEC Mathematics Preparation: Lessons：阅读时间约360分钟。测试中的每道题在课文中都有讲解。

专题测验3：Number sense: money, percentages, rates and ratios

  1. 第1题，共17题

    Your restaurant bill is $64.00. You want to leave a 15% tip. How much is the tip?
    显示答案

    答案: C. $9.60

    15% of $64.00 = 0.15 × 64 = $9.60.

  2. 第2题，共17题

    A jacket costs $120. It is on sale for 25% off. What is the sale price?
    显示答案

    答案: B. $90.00

    The discount is 25% of $120 = $30. The sale price is $120 − $30 = $90.00.

  3. 第3题，共17题

    An item costs $80.00 before tax. A 5% tax is added. What is the total?
    显示答案

    答案: C. $84.00

    Tax = 5% of $80 = $4.00. Total = $80 + $4 = $84.00.

  4. 第4题，共17题

    Boots cost $200. They are 30% off, and then a 5% tax is added to the sale price. What do you pay?
    显示答案

    答案: B. $147.00

    Sale price = $200 × 0.70 = $140. Add 5% tax: $140 × 1.05 = $147.00.

  5. 第5题，共17题

    A salesperson earns a 4% commission. She sells $8,500 of furniture. How much commission does she earn?
    显示答案

    答案: D. $340.00

    4% of $8,500 = 0.04 × 8,500 = $340.00.

  6. 第6题，共17题

    You earn $18.50 an hour and work 37.5 hours a week. What is your weekly pay before deductions?
    显示答案

    答案: A. $693.75

    Pay = rate × hours = $18.50 × 37.5 = $693.75.

  7. 第7题，共17题

    You earn $20 an hour for the first 40 hours and 1.5 times that rate for overtime. This week you worked 46 hours. What is your pay?
    显示答案

    答案: C. $980.00

    Regular pay: 40 × $20 = $800. Overtime rate: $20 × 1.5 = $30, and 6 × $30 = $180. Total: $980.00.

  8. 第8题，共17题

    You put $2,000 in a savings account that pays 3% simple interest per year. How much interest do you earn in 4 years?
    显示答案

    答案: D. $240.00

    Simple interest I = Prt = $2,000 × 0.03 × 4 = $240.00.

  9. 第9题，共17题

    You borrow $1,500 at 6% simple interest per year for 18 months. How much do you pay back in total?
    显示答案

    答案: B. $1,635.00

    Time must be in years: 18 months = 1.5 years. I = $1,500 × 0.06 × 1.5 = $135. Total = $1,500 + $135 = $1,635.00.

  10. 第10题，共17题

    Milk costs $4.20 for 1.5 L or $5.30 for 2 L. Which is the better buy, and what is its price per litre?
    显示答案

    答案: D. The 2 L size, at $2.65 per litre

    Unit price = price ÷ litres. $4.20 ÷ 1.5 = $2.80 per litre; $5.30 ÷ 2 = $2.65 per litre. The 2 L size costs less per litre.

  11. 第11题，共17题

    You drive at an average speed of 90 km/h. How long does a 405 km trip take?
    显示答案

    答案: A. 4 h 30 min

    Time = distance ÷ speed = 405 ÷ 90 = 4.5 hours. 0.5 hours is 30 minutes, so 4 h 30 min.

  12. 第12题，共17题

    Juice is mixed 1 part concentrate to 4 parts water. How much concentrate do you need to make 2.5 L of juice?
    显示答案

    答案: A. 0.5 L

    1 + 4 = 5 parts in total. Each part is 2.5 L ÷ 5 = 0.5 L, and concentrate is 1 part, so 0.5 L.

  13. 第13题，共17题

    A recipe for 4 people uses 300 g of pasta. How much pasta do you need for 10 people?
    显示答案

    答案: C. 750 g

    Pasta per person = 300 ÷ 4 = 75 g. For 10 people: 75 × 10 = 750 g.

  14. 第14题，共17题

    A map has a scale of 1 : 50 000. Two towns are 6 cm apart on the map. How far apart are they in real life?
    显示答案

    答案: D. 3 km

    6 cm × 50 000 = 300 000 cm. 100 000 cm = 1 km, so the distance is 3 km.

  15. 第15题，共17题

    Monthly rent goes up from $1,400 to $1,505. What is the percent increase?
    显示答案

    答案: A. 7.5%

    Percent change = change ÷ original × 100. The change is $105, and $105 ÷ $1,400 × 100 = 7.5%.

  16. 第16题，共17题

    Your car uses 8.5 L of fuel per 100 km. Fuel costs $1.55 per litre. What does fuel cost for a 340 km trip?
    显示答案

    答案: D. $44.80

    Fuel used = 8.5 × 340 ÷ 100 = 28.9 L. Cost = 28.9 × $1.55 = $44.795, which rounds to $44.80.

  17. 第17题，共17题

    The sheet shows a monthly budget. Cell B2 is the take-home pay. How much money is left after all the costs in B3 to B7 are paid?
    AB
    1ItemAmount ($)
    2Take-home pay3200.00
    3Rent1450.00
    4Groceries615.40
    5Transit pass120.00
    6Phone85.25
    7Utilities210.00
    显示答案

    答案: A. $719.35

    Total costs = 1,450 + 615.40 + 120 + 85.25 + 210 = $2,480.65. Left over = $3,200.00 − $2,480.65 = $719.35.

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