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The oldest mathematical objects which were discovered in Africa came from


the demand and supply functions for free range chicken are Pd=50-0.6Q and Ps=20+0.4Q

where P is the price and Q the Quantity, the Equilibrium price and quantity are


How do standard algorithms differ from student- invented strategies? Explain the benefits of invented strategies over standard algorithms (give at least two valid points).


How can learners learn to write two- digit numbers in a way that it is connected to the base 10 meaning of ones and tens


For the commodity market Y=C+IC=aY+b (0 <a <1, b> 0)I=cr+d (c <0, d> 0)

Where r is the intetest rate.

(a )show that, when the commodity market is in equilibrium, (1-a) Y-cr=b+d

(b) for money market

(money market)  Ms=Ms*    (Ms*> 0)

(Total demand for money) Md=k1Y+k2r+k3 (k1> 0, k2 <0, k3 <0)

(equilibrium) Md=Ms

Show that when money market is in equilibrium k1Y+k2r=Ms-k3

(c) By solving the simultaneous equation s derived in parts (a) n (b )show that when tje cpmmodity and money markets are both in equilibrium

Y=k2 (b+d)+c (Ms*-k3)/(1-a) k2+ck1

(d) write down the money supply multiplier, ▲Y/▲Ms* and deduce that an increase in Ms* causes an increase in Y.


The demand and supply functions of a good are given by

𝑃 = −25𝑄𝐷 + 200

𝑃 = 4𝑄𝑆 + 92

where 𝑃, 𝑄𝐷 and 𝑄𝑆 denote the price, quantity demanded and quantity supplied respectively.

(a) Sketch the graphs of these equations on the same system of axes. (6)

(b) Determine the equilibrium point algebraically. (5)

(c) If the government imposes of a fixed tax of 𝑅9 per good:

 (i) Write down the new supply function, hence graph it on the same system of axes in 

part (a). (6)

 (ii) Calculate the new equilibrium point after the imposition of tax. (5)

(d) Outline the distribution of tax. 


The Marginal Revenue function for a company's product is:

MR = 240000 - 22x

where x equals the number of units sold. If total revenue equals 0 when 0 units are sold, determine the total revenue.


The supply and demand functions for a product are 𝑞𝑠 = 𝑝 2 − 300 𝑎𝑛𝑑 𝑞𝑑 = 𝑝 2 − 30𝑝 + 2200 . Determine the market equilibrium price and quantity.



You are planning on throwing a party after social distancing is lifted. A cube-shaped tank has edges that are choose a whole number between 11 in and 14 in. ___________ long. The tank is filled with punch that has a density of 0.02 lb./in3


It is known that pancake sales at an athletics meeting between a number of schools follow the following pattern: when the price is R3,00 per pancake, 3 000 pancakes are sold during the day and when the price is R2,50 each, 5 000 are sold. Find the demand function with quantity, Q, as a function of price, P. [1] Q = −4P + 15 [2] Q = −4 000P + 15 000 [3] Q = −1 000P + 6 000 [4] Q = 4 000P − 9 000 


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