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R1840 will be divided between Aphiwe and Dhoni in the ratio 3 : 5. How much will Aphiwe and Dhoni each get in total?

One of the learners gave the answer as: Aphiwe: R1104 and Dhoni: R3066,67.

a) Explain this learner’s possible (mis)understanding of the question. Would you say it is the same misconception or two different misconceptions that the learner has?

b) How can you rectify the learner’s mistake(s) in solving the task? Use drawings to illustrate your answer.


Three friends want to go camping and they pack enough water to last for 6 days. Just as they are about to leave they are joined by 3 more people. How long will their water last now?


Half of a number less than two is twenty.


5÷(√(x+1))-3√(x+1)+2=0


If we know the first three or four values in a sequence, can we make a rule for the pattern? Give reasons for your answer and illustrate your answer with an example.

1.2 How can we determine whether a pattern exists?

The ABM club wants to rent a bus for the yearly

educational trip. The rent of the bus is P10,000,

which will be divided among the members that agree

to join. At this moment, 8 students have already

signed up.

a. at this moment, what is the cost for each member?

b. by making a table, show what happen to the cost

per member as additional members agrees to join.

c. Write a function for the cost per member C(m)

related to the number of additional members m that

agree to join.


Construct a table of valued of the function using the interval of -5 to 5.
j(t)=1/t
Construct a table of valued of the function using the interval of -5 to 5.


j(t)= t
Write a function rule for the are of a rectangular picture frame that has a width of 22 in. less than its length. Use the function rule to find the area of the picture frame when the length is 39 in.

The amount A (t), in grams, of radioactive material in a sample after years, is given

by A^t=80(2^(-t/100)

(a) Find the amount of material in the original sample /1mrks

(b) calculate the half-life of the material. (The half-life is the time taken for half of

the original material to decay).