High School

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3. Draw a table to show the solution for each problem. The first one has been started for you.

a. Tanya has an interesting book and she reads 11 pages on Monday, 22 pages on Tuesday, and 33 pages on Wednesday. If she continues reading in this pattern, how many pages would she read on Thursday, Friday, and Saturday?

| Day | Number of pages |
|-------|-----------------|
| Mon | 11 |
| Tues | 22 |
| Wed | 33 |
| Thurs | 44 |
| Fri | 55 |
| Sat | 66 |

b. Rani baked 5 cakes on day one, 10 cakes on day two, and 15 cakes on day three. How many cakes would she bake on days four, five, and six if she continues with this pattern?

c. Thabo had saved R500. He decided to spend his money. In the first week, his savings dropped to R250, in the second week it was R125, and in week three he had R62.50. If he continues to spend in this pattern, how much money would he have in week four?

d. Sylvia is on a training programme, and this is the pattern she follows: 5.5 km on day one, 7.5 km on day two, and 9.5 km on day three. What distances will she run on day four and day five?

e. The librarian has a target to double the number of books in her library each month. She starts off with 100 books in January. How many books would she have in April, May, and June?

Answer :

Let's break down each problem and identify the pattern being followed to find the solutions.

a. Tanya's Reading Pattern
To determine how many pages Tanya would read on Thursday, Friday, and Saturday, we need to recognize that she is adding 11 pages each day.

  • Thursday:
    [tex]33 + 11 = 44[/tex]
    So, Tanya reads 44 pages on Thursday.

  • Friday:
    [tex]44 + 11 = 55[/tex]
    So, Tanya reads 55 pages on Friday.

  • Saturday:
    [tex]55 + 11 = 66[/tex]
    So, Tanya reads 66 pages on Saturday.

The updated table would look like this:

DayNumber of pagesMon11Tues22Wed33Thurs44Fri55Sat66

b. Rani's Baking Pattern
Rani increases the cakes she bakes by 5 each day.

  • Day Four:
    [tex]15 + 5 = 20[/tex]
    So, she bakes 20 cakes on day four.

  • Day Five:
    [tex]20 + 5 = 25[/tex]
    So, she bakes 25 cakes on day five.

  • Day Six:
    [tex]25 + 5 = 30[/tex]
    So, she bakes 30 cakes on day six.

c. Thabo's Spending Pattern
Thabo's savings reduce by half each week.

  • Week Four:
    [tex]62.50 \div 2 = 31.25[/tex]
    In week four, Thabo would have R31.25.

d. Sylvia's Training Pattern
Sylvia increases her running distance by 2 km each day.

  • Day Four:
    [tex]9.5 + 2 = 11.5[/tex]
    She will run 11.5 km on day four.

  • Day Five:
    [tex]11.5 + 2 = 13.5[/tex]
    She will run 13.5 km on day five.

e. Librarian's Book Doubling Pattern
The number of books doubles every month.

  • April: (Starting from 100 books in January, calculate for April):

    • February: 100 x 2 = 200
    • March: 200 x 2 = 400
    • April: 400 x 2 = 800

  • May:
    [tex]800 \times 2 = 1600[/tex]
    So, she will have 1600 books in May.

  • June:
    [tex]1600 \times 2 = 3200[/tex]
    So, she will have 3200 books in June.

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