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CAEC Mathematics Preparation Course：Patterns and relations

不限时专题测验：关于Patterns and relations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4：Patterns and relations

  1. 第1题，共17题

    What is the next number in the pattern 4, 9, 14, 19, …?
    显示答案

    答案: B. 24

    Each term is 5 more than the one before: 19 + 5 = 24.

  2. 第2题，共17题

    What is the next number in the pattern 3, 6, 12, 24, …?
    显示答案

    答案: B. 48

    Each term is multiplied by 2: 24 × 2 = 48.

  3. 第3题，共17题

    The table shows how a savings account grows by the same amount each week. If the pattern continues, how much will be in the account in week 8?
    WeekBalance
    1$150
    2$175
    3$200
    4$225
    显示答案

    答案: C. $325.00

    The balance goes up $25 each week. Week 8 = $150 + 7 × $25 = $325.00.

  4. 第4题，共17题

    A tile pattern uses 5 tiles in figure 1, 8 tiles in figure 2 and 11 tiles in figure 3. How many tiles are in figure 20?
    显示答案

    答案: D. 62

    Each figure adds 3 tiles, so figure n uses 3n + 2 tiles. Figure 20 uses 3 × 20 + 2 = 62 tiles.

  5. 第5题，共17题

    A taxi charges a $4.00 flat fee plus $2.10 per kilometre. Which equation gives the cost C for a trip of d kilometres?
    显示答案

    答案: D. C = 4.00 + 2.10d

    The fixed fee is added once, and the rate is multiplied by the distance: C = 4.00 + 2.10d.

  6. 第6题，共17题

    A taxi charges C = 4.00 + 2.10d dollars for a trip of d kilometres. A ride costs $25.00. How long was the trip?
    显示答案

    答案: A. 10 km

    25 = 4 + 2.10d. Subtract 4: 21 = 2.10d. Divide: d = 21 ÷ 2.10 = 10 km.

  7. 第7题，共17题

    Distance is d = rt, where r is the speed and t is the time. Which formula gives the time t?
    显示答案

    答案: D. t = d ÷ r

    Divide both sides of d = rt by r to get t = d ÷ r.

  8. 第8题，共17题

    The formula F = 1.8C + 32 changes Celsius to Fahrenheit. What is 25 °C in Fahrenheit?
    显示答案

    答案: A. 77 °F

    Multiply first, then add: 1.8 × 25 = 45, and 45 + 32 = 77 °F.

  9. 第9题，共17题

    The formula C = (F − 32) ÷ 1.8 changes Fahrenheit to Celsius. What is 50 °F in Celsius?
    显示答案

    答案: C. 10 °C

    Do the brackets first: 50 − 32 = 18. Then 18 ÷ 1.8 = 10 °C.

  10. 第10题，共17题

    Simple interest is I = Prt. A loan of $1,500 for 2 years cost $90 in interest. What was the yearly interest rate r?
    显示答案

    答案: A. 3%

    Rearrange: r = I ÷ (P × t) = 90 ÷ (1,500 × 2) = 0.03, which is 3%.

  11. 第11题，共17题

    A plumber charges a $75 call-out fee plus $90 per hour. Your bill is $300. How many hours did the plumber work?
    显示答案

    答案: D. 2.5 hours

    300 = 75 + 90h. Subtract 75: 225 = 90h. Divide: h = 225 ÷ 90 = 2.5 hours.

  12. 第12题，共17题

    Gym A charges a $40 joining fee and $25 a month. Gym B has no joining fee and charges $35 a month. Which equation finds the number of months m when both gyms cost the same?
    显示答案

    答案: D. 40 + 25m = 35m

    Each side is the total cost after m months: Gym A is 40 + 25m and Gym B is 35m. Set them equal.

  13. 第13题，共17题

    Two gym plans cost the same after m months when 40 + 25m = 35m. Solve for m.
    显示答案

    答案: D. After 4 months

    Subtract 25m from both sides: 40 = 10m, so m = 4. After 4 months both gyms cost $140.

  14. 第14题，共17题

    A print shop charges C = 0.15n + 12 dollars for n flyers. How many flyers can you get for $87?
    显示答案

    答案: D. 500

    87 = 0.15n + 12. Subtract 12: 75 = 0.15n. Divide: n = 75 ÷ 0.15 = 500 flyers.

  15. 第15题，共17题

    Ana is older than Ben. Ben is older than Cal. Dee is younger than Cal. Who is the youngest?
    显示答案

    答案: B. Dee

    Put them in order from oldest: Ana, Ben, Cal, Dee. Dee is the youngest.

  16. 第16题，共17题

    Each shelf holds 12 boxes. You have 75 boxes to store. How many shelves do you need?
    显示答案

    答案: B. 7

    75 ÷ 12 = 6.25. Six shelves hold only 72 boxes, so you must round up to 7 shelves.

  17. 第17题，共17题

    Three friends share a $96 bill. Sam pays $12 more than each of the other two, who pay the same amount. How much does Sam pay?
    显示答案

    答案: A. $40.00

    Let x be what each of the other two pays: x + x + (x + 12) = 96, so 3x = 84 and x = 28. Sam pays $28 + $12 = $40.00.

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