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A man had 243 golden coins and he shared them equally among his three children. His three children then each shared the coins equally among their three children. It went on like this until the last generation had one coin each.
1 person:241coins
3 people :81coins
9 people:27 coins
27 people :9 coins
81 people :3 coins
A, write down the number sequence that represents this situation.
B, set up a table to represent the situation above.
C, describe in words how this geometric sequence has developed.
D, use a table to sketch a graph
2.3. GeoGebra is one of the software available today in the market. Briefly describe it. (2)
2.4. Why is GeoGebra so popular? (2)
2.5. GeoGebra can be applied in the area of numbers.
Name three ways in which it can be applied. (6)
2.6. There is a number of uses of tablets in the classroom.
Discuss any five that you can use in your class. (5)
2.7. Mention three advantages and three disadvantages of using a tablet
as an instructional media.
2.1. Technology versus traditional tools for teaching. Which method is better?
Discuss this statement either in support of technology or traditional tools.
(10)
2.2. Do a research on the software that is available in the market today. Choose one that you can use in your
Grade 5 class to teach mathematics. Discuss your choice with the following in mind:
 The name of the software.
 How it works?
 The benefits.
 The shortcomings (if any).
Consider the following examples in real-world situations that describe a correspondence
between phenomena:
(a) Express each situation in functional words. For example, the income tax is a function
of the total income. (8)
(b) For each situation, indicate the dependent and independent variable. (5)
(c) Write the two variables as an ordered pair, and write the function using the notation
Write the integer that represents
a loss of 52 pounds. Then write
the opposite of that integer.

Ntsako walks to school each day at a constant pace of 75 m per minute.

The school is 1.8 km from his house.

1.2.1.1. Use a sketch or diagram to represent the problem. (2)

1.2.1.2. Solve the problem (3)

1.3. Use the concept of ratio to answer the following questions.

1.3.1. In week 1, Mpho deep cleans a paving at 4 m2 per hour. How long will it take her to deep clean

an area of 12 m long and 6 m wide? (3)

1.3.2. In week 2, Maria joins and each of them cleans 4 m2 per hour. How long will it take the two of

them to deep clean an area of 12 m long and 6m wide? (4)

1.3.3. In week 3, Lerato joins and each of them cleans 4 m2 per hour. How long will it take the three of

them to deep clean an area of 12 m long and 6 m wide? (4)

1.4. Calculate the following:

1.4.1. Which is the best price for washing powder? Motivate your answer.

 R45 for 2.5 kg

 R55.50 for 3 kg

 R72 for 4 kg (3)


A reminder factor theorem find the value of k if on dividing 2 x cube + 3 x square minus kx + 5 by x minus 2 leaves a remainder 7

1.4. Calculate the following
1.4.2. How much will 12 litre juice cost if 1.5 litre costs R24? (3)
1.4.3. Pam poured R240 petrol at a price of R15/litre. How many litres did she pour
QUESTION 1
1.1. Define the following concepts and give an example in each case.
1.1.1. Ratio (3)
1.1.2. Direct proportion (3)
1.1.3. Indirect proportion

Consider the following examples in real-world situations that describe a correspondence between phenomena:

(a) Express each situation in functional words. For example, the income tax is a function of the total income. (8)

(b) For each situation, indicate the dependent and independent variable. (5)

(c) Write the two variables as an ordered pair, and write the function using the notation


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