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CAEC Mathematics Preparation Course: Patterns and relations

Untimed topic quiz: 17 questions on Patterns and relations, with an explanation after each answer. Questions and answers are shuffled every time.

  • Course
  • Canada
  • 100 questions
  • Checked October 13, 2026
  • Fact-checked October 13, 2026
Start with the lessonsCAEC Mathematics Preparation: Lessons: about 360 minutes of reading. Every test question is covered in the lessons.

Topic quiz 4: Patterns and relations

  1. Question 1 of 17

    What is the next number in the pattern 4, 9, 14, 19, …?
    Show answer

    Answer: B. 24

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

  2. Question 2 of 17

    What is the next number in the pattern 3, 6, 12, 24, …?
    Show answer

    Answer: B. 48

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

  3. Question 3 of 17

    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
    Show answer

    Answer: C. $325.00

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

  4. Question 4 of 17

    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?
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    Answer: D. 62

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

  5. Question 5 of 17

    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?
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    Answer: 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. Question 6 of 17

    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?
    Show answer

    Answer: A. 10 km

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

  7. Question 7 of 17

    Distance is d = rt, where r is the speed and t is the time. Which formula gives the time t?
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    Answer: D. t = d ÷ r

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

  8. Question 8 of 17

    The formula F = 1.8C + 32 changes Celsius to Fahrenheit. What is 25 °C in Fahrenheit?
    Show answer

    Answer: A. 77 °F

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

  9. Question 9 of 17

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

    Answer: C. 10 °C

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

  10. Question 10 of 17

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

    Answer: A. 3%

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

  11. Question 11 of 17

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

    Answer: D. 2.5 hours

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

  12. Question 12 of 17

    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?
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    Answer: 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. Question 13 of 17

    Two gym plans cost the same after m months when 40 + 25m = 35m. Solve for m.
    Show answer

    Answer: D. After 4 months

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

  14. Question 14 of 17

    A print shop charges C = 0.15n + 12 dollars for n flyers. How many flyers can you get for $87?
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    Answer: D. 500

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

  15. Question 15 of 17

    Ana is older than Ben. Ben is older than Cal. Dee is younger than Cal. Who is the youngest?
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    Answer: B. Dee

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

  16. Question 16 of 17

    Each shelf holds 12 boxes. You have 75 boxes to store. How many shelves do you need?
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    Answer: B. 7

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

  17. Question 17 of 17

    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?
    Show answer

    Answer: 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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