EXCELLENCE TUITION CENTRE NATURAL SCIENCES DEPARTMENT BIOLOGY TAKE HOME WORK 1. The diagram below shows some cells taken from a vascular tissue of a plant. (a) Identify the cell X and Y and structure labeled Z. [3] (b) What are the functions of the cells labeled X and Y? [2] (c) What structure, in human being, performs a similar function as structure Y? [1] (d) What two conditions are necessary for osmosis to take place? [2] 2. The diagram below shows part of the respiratory system of an insect. (a) Identify the parts labeled D and E. [2] (b) Explain how oxygen from the atmosphere is able to reach the tissue labeled E. [2] (c) Explain how the energy released from respiration in an insect is used. (d) State two ways in which the respiratory system shown differs from that of a fish. [3] [2] 3. Figure 4.1 is a graph showing changes in volume of air during inspiration and expiration in the respiratory organs of a person. (a) (i) Which letter shows the process of inspiration taking place? (ii) Name the activities taking place during stages 1, 2 and 3. (b) Explain why there is an increase in air volume during stage 2. [3] [1] (c) Describe four changes which will take place in the thorax during inspiration in order to facilitate the increase in the volume during stage 2. [4] EXCELLENCE TUITION CENTRE NATURAL SCIENCES DEPARTMENT CHEMISTRY TAKE HOME WORK 1. Study the diagram below and answer questions that follow. f C d e NB: d, e, f are processes (a) Name the processes d, e and f [3] (b) Describe what you would do to convert substance A to B. [1] (c) State one of the basic units of matter. [1] 2. Use your knowledge of the kinetic theory of matter to suggest a reason for each of the following. (a) Wet clothes dry more quickly on warm days than cold days. (b) Solid ice loses its shape when it melts. (c) Salt dissolves faster in hot water than cold water. (d)When sugar is dissolved in a glass of water without stirring, all of the water soon tastes sweet. 3. Below are some processes which are used in a laboratory, industry and at home: - Crystallisation, combustion, Distillation, esterification, Filtration, galvanizing, Neutralization and polymerization. (a) Which one of the processes listed above can be used to separate the following from a sample of sea water? (i) Salt ………………………………………………… (ii) Water ………………………………………………. (iii) Sand ……………………………………………….. (b) State the process from the list of processes above that can be used to: (i) Manufacture plastic for making buckets ……………………………… (ii) Produce carbon dioxide from carbon ……………………………………… 4. An element has an isotope with the nucleon number of 7. Each neutral atom of this isotope has three electrons and a nucleus containing two different types of particles. (a) (i) Give the name of these particles and the number of each particle present in each nucleus. Name of particle Number of particle (ii) Compare the masses and the electrical charges of these particles. [2] (b) What is the difference in the nuclei of this isotope and its isotope whose nucleon number is 6? 5. Use the information in the table to answer the following questions. Substance Conduct electricity when solid Melting point /OC Dissolves in water Sodium chloride No 808 Yes Sulphur No 113 No Tungsten Yes 3317 No Wax No 35 – 50 No Aluminium Yes 660 No (a) (i) Name one metal from the table [1] (b) (ii) How can you tell from the table that the substance you have chosen in (a) (i) above is a metal? [1] (c) How can you tell from the table that wax is a mixture? (i) Name a compound from the table. Explain the meaning of the word compound. [1] [1] (ii) Two miscible liquids with boiling points of 78 OC and 100 OC were accidentally mixed. (a) Name the process which can be used to separate the mixture………………………. [1] (b) Draw a labeled diagram showing the arrangement of the apparatus used to separate the mixture. [3] EXCELLENCE TUITION CENTRE NATURAL SCIENCES DEPARTMENT MATHEMATICS TAKE HOME WORK 1. The frustum of a cone has height 6cm and th e radius of its ends is 9cm and 15cm. find its volume 2. The diagram shows a waste paper basket in a form of a frustum with rectangular ends with sides 20cm by 25cm and 24cm by 30cm respectively. Its height is 35cm. find the volume of the basket 3. The diagram below shows the graph of y = x³ + x² - 5 + 3 y 30 20 10 -4 -3 -2 -1 1 2 3 x - 10 - 20 - 30 - 40 - 50 - 60 Use the graph (a) To calculate an estimate of the gradient of the curve at the point (2,5). (b) to solve the equations (i) x³ + x² - 5x + 3 = 0 (ii) x³ + x² - 5x + 3 = 5x (c) to calculate an estimate of the area bounded by the curve and x = - 2. x=0,y=0 4. Mipando makes two types of chairs for sale;dining and garden.He intends to make at least 10 dining chairs and at least 20 garden chairs.He wants to make not more than 80 chairs altogether.The number of garden chairs must not be more than three times the number of dining chairs. (a) Let x be the number of dining chairs and y the number of garden chairs.Write four inequalities to represent the information above. (b) Using a scale of 2cm to represent 10 chairs on each axis,draw x and y axes 0 ≤ x ≤ 80 and 0 ≤ y ≤ 80 respectively and shade the unwanted region where the solution of the inequalities lie. (c) Given that the profit on the sale of dining chair is K80.00 and profit on a garden chair is K50.00, how many chairs of each type should Mipando make in order to maximize the profit? (d) What is this maximum profit? EXCELLENCE TUITION CENTRE NATURAL SCIENCES DEPARTMENT ADDITIONAL MATHEMATICS HOME WORK 1. The diagram shows a circle, centre O, radius 4 cm, enclosed within a sector PBCDP of a circle, centre P. The circle centre O touches the sector at points A, C and E. Angle BPD is (i) Show that PA radians. and PB = 12 cm. Find, to 1 decimal place, (ii) The area of the shaded region, (iii) The perimeter of the shaded region. 2.The diagram shows a sector OAB of a circle, centre O, radius 4 cm. The tangent to the circle at meets the line OB extended at C. Given that the area of the sector OAB is 10 cm2, calculate (i) the angle AOB in radians, (ii) the perimeter of the shaded region. A 3. Find the solution of the systems of equations below using the crammer’s rule 2x + 3y + 4z = -4, 4x + 2y + 3z = -11 3x + 4y + 2z = -3 4. Find the given terms in the following expansions: 1 (ii) (2 − 3𝑥)30, 9th term, , 4th term, (iv) (𝑝 − 3𝑞)7, term containing 𝑝4𝑞3. (v) (3 + 2𝑥)15, term involving 𝑥12. 5.The coefficient of x3 in the expansion of (1 + 𝑥)𝑛 is four times the coefficient of x2. Find the values of n. 6.When (1 + 𝑎𝑥)𝑛 is expanded in ascending powers of x the first three terms of the expression are 1 – 2x + 7x2. Find the values of a and n. 7. Find the tem independent of x in each of the following expansions: . EXCELLENCE TUITION CENTRE SERVICE WITH EXCELLENCE PRINCIPLES OF ACCOUNTS G12 ONLY ANSWER ALL QUESTIONS IN THIS PAPER 1. a machine at K10 000 000. Depreciation is charged at a rate of 20% on the net book value. Depreciation is based on the reducing the balance method. Calculate the depreciation charges for the first 4 years of its life. Showing all your working. 2. [5marks] (a) With named causes, explain the term depreciation of fixed assets. [3marks] 3. During the year 2015, Lubengula held an average stock at cost price of K11 280. His selling prices were obtained by adding 25% to the cost prices. His turnover for 2015 was K169 200. His selling and administrative expenses were 12% of turnover. Calculate: (i) Lubengula’s Gross Profit for 2015 [5marks] (ii) The rate of turnover of stock for 2015 [3mark] (iii) The Net Profit for 2015 [2marks] 3. The following balances were extracted from the books of H. Shakapenda as at 31 December 2015, the end of the financial year. From the balances below prepare a Trial Balance, with correct heading. K Capital 10 810 Purchases 47 400 Stock 1/1/2015 4 600 Debtors 6 200 Creditors 3 900 Motor Van 3 300 General expenses 1 900 Rent and Rates 1 800 Provision for bad debts 1/1/2015 Bad debts 670 7 730 Drawings 6 300 Bank balance 950 Sales 64 800 Stock 31/12/2015 5 200 [7marks] END OF WORK. GOOD LUCKY… HAPPY MERRYCHRISTMAS MY NINJAS. I LOVE YOU AND REMEMBER YOU CANNOT KNOW THE SIZE OF THE TREE WHEN YOU HOLD ITS SEEDS IN YOUR HANDS UNTIL YOU PLANT IT. DADDY WISEMAN THE SERVANT.