THE MILLENNIUM PREPARATORY MATHEMATICS FOR PRIMARY SCHOOLS ACKNOWLEDGEMENTS The preparation of this book involved the contribution of other people. So, I value the attitude of Mr. Wakamoga Massinde, who introduced me into the field of writing, and the contributions of Mr. Gilbert Okoth and Mr. Vincent Ochieng’, both of St. Mary’s Junior School- Mbezi Beach, with their pupils in the process of sampling and collecting various questions in mathematics and English. In addition to these, I appreciate the encouragement and positive challenges of Mr. Fungo of Canossa Primary School-Tegeta, Mr. Paul Onyango and Raphael Okumu, both of Almuntazir Primary School, and Mrs. Georgia Mashobe of Agha Khan Primary School. I sincerely appreciate the kindness of Sr. Mary Ventom, Sr. Angela Mlipano and Sr. Theopista, all of Canossa Girls’ School; Br. Ismael Edward, the headmaster of St. Anthony’s Secondary School - Mbagala, for their good libraries that provided me with enough reference materials for preparing this book while I was teaching there. May I also thank Mr. Michael Mgamba and Mr. Jorim Were, both of (Dar es Salaam Independent School; Dr. Barnabas Chile of Feza Girls’ School; Mr. Apiyo Odhiambo of Hope and Joy Primary School - Mbweni, and James Martine Owande of the Unversity of Bagamoyo. Most of all, I acknowledge the humility of my lovely wife, Neema Stephano Uloto, and my daughter (Leticia Amondi) who missed my love during the tiring task of preparing this book; may the almighty God bless them abundantly, without forgetting my loving mom, Nelly Akinyi, and the entire family of the late James Yogo Omego, for urging me hold tightly at the thread of academic knowledge. Last but not least, I appreciate my sister, Dr. Sophy, and my elder brother, Sergeant Richard, and his wife Mama Sarah, of FFU- Ukonga, for financial support. From the bottom of my heart, I thank all these people for their positive endeavour at different stages during the preparation of this book. Nevertheless, I solely bear the right to receive criticism or positive comments geared at improving the content and nature of this piece of work. Consequently, in case there may be any errors or omissions, those herein acknowledged are not directly responsible for such unavoidable human discrepancies. Meshack James Yogo (author) 2012- Dar es Salaam PREFACE Mathematics is all about using language to accurately evaluate things in numbers. Finding the right quantity and quality of the things in our environment enables us to easily transform them technologically, thus use them economically. This is the major reason why Mathematics and English Language are basic subjects taught at school, as well as compulsory examinations for assessing the learner’s IQ. Understanding Mathematics and English is therefore very important for pupils preparing to sit for their final examination at the end of their primary course of education. For that reason, The Millennium Preparatory Questions with Answers is meant for practicing Mathematics and English subjects, because it has questions that would improve the ability of a candidate, so as to easily solve similar questions in their examinations. This book is, therefore, necessary for the candidates preparing to sit for their Certificate of Primary Education Examination, and the Preform One candidates preparing to sit for entry examinations. The book is divided into three parts: Part I has number 1-1,000 Mathematics formulae and multiple choice questions, while Part II has number 1,001-2,000 English multiple choice questions. The questions in the two parts are from various topics covered in the whole course of the primary education; hence they create a good means of revising the two giant academic subjects there. Part III has the answers of all the 2,000 questions in this book. The answers are written in form of letters which correspond with the correct option among the four choices (A, B, C, D), given for each of the questions. The pupils may use the concepts that they have already learnt to attempt the questions in Mathematics and English, before confirming their accuracy by checking at their answers. Attempting all the questions in this book will enable the candidate to answer examination questions very fast and accurately. Since speed plus accuracy is equal to success, using this book well will surely improve the speed and accuracy of the candidate; meaning that The Millennium Preparatory Questions with Answers = Speed + Accuracy, hence success of all the candidates who practice using this book, because success is the result of personal effort. Meshack James Yogo (Author) 2013- Dar es Salaam PART I MATHEMATICS MULTIPLE CHOICE QUESTIONS (1-1000) 1. Solve for x, if x+x = 18 2 A. 93 B. 6 C. 18 D. 16 2. Find the GCD of the numbers 44, 88 and 110 A. 11 B. 22 C. 2 D. 4 3. What is the measurement of the diagonal of the rectangular plot whose width is 10 m and length is 24 m? A. 72m B. 240m2 C. 68m D. 26m 4. Find the volume in litres of a cylindrical oil container whose base circumference is 132cm and height is 20cm A. 2,772 litres B. 2.772 litres C. 27.72 litres D. 55.44 litres 5. If the cost of buying three ducks is Sh. 4,800, find the cost of buying 12 ducks of the same size. A. Sh. 19,200 B. Sh. 1,600 C. Sh. 18,200 D. Sh. 57,600 6. Sofia’s age is 1/3 of Rehema’s age. If the sum of their present ages is 40 years, find Sofia’s age in 4 years to come. A. 4 years B. 14 years C. 10 years D. 12 years 7. Anna, Andrew and Anodi shared 48 hectares of land as follows: Anna got 1/4 and Andrew got 1/8 the remaining part. How many hectares did Anodi get? A. 12 B. 4.5 C. 31.5 D.32.5 8. If the sum of three consecutive numbers is 102, find the value of the highest number. A. 33 B. 37 C. 35 D. 36 9. A boy was half as old as his father in the year 2009. In the year 2011, the sum of their ages was 70 years. What was the age of the father in the year 2009? A. 22 B. 44 C. 26 D. 78 10. Given that 2 divide by n = 0.0001; Find the value of n. A. 2,000 B. 200 C. 20,000 D. 300 11. Find the area of a rectangular plot of land whose circumference is 40m, and its length is 12m. A. 96m2 B. 480m2 C. 52m2 D. 8m2 12. If the cost of speaking through a mobile phone is Sh. 320 per minute for the first 5 minutes, and Sh. 300 per every minute after five minutes. How much did Babito pay for speaking for 9 minutes using the phone? A. Sh. 1,600 B. Sh. 2,800 C. Sh. 2,700 D. Sh. 1,200 13. Find the value of the angles at the base of a triangular figure if one of the angles is 60 degrees: A.70 degrees B. 60 degrees C. 80degrees D. 45 degrees 14. A circular pond of 14m in diameter is divided into 4 equal parts. Find the area of each part. A. 38.4 m2 B. 154 m2 C. 38.5 m2 D. 32.5 m2 15. Which one of the following is one million, three thousand and ten? A. 1,000,310 B. 1,030,010 C. 103,010 D. 1,003,010 16. If a motorist left her home at 10.00 a.m. and travelled at an average speed of 90 km/hr to Singida, a distance of 225 km, at what time did the motorist reach Singida? A. 12:30 p.m. B. 12:50 p.m. C. 12:40 p.m. D. 12:20 p.m. 17. Given that the volume of a half a meter long circular cylinder is 30.8 litres. Find the diameter of its base: (use pie as 22/7) A. 14cm B. 7cm C.28m D. 28 cm 18. If 12 men can do a piece of work in 20 days, how many more men are required to finish the same work in 8 days? A. 18 B. 30 C. 16 D. 20 19. A factory hired 12 workers to complete a piece of work in 6 hours. If 2 of the workers did not turn up, how long did it take to complete the work? A. 7 hrs 12min. B. 7 hrs 20 min. C. 8 hrs 10 min. D. 7 hrs 30 min. 20. Find the perimeter of the trapezium shown below: A. 16 cm B. 60 cm C. 60cm2 D. 66 cm 21. Mr. Vincent has Sh. 250,000 in a savings bank which gives interest at the rate of 8% per annum. If he withdrew all his money from the bank after nine months, how much did he withdraw? A. Sh. 15,000 B. Sh. 20,000 C. Sh. 270,000 D. Sh. 265,000 22. Find the square of the number 99. A. 8764 B. 9043 C. 9801 D. 9745 23. A bicycle can be bought on hire purchase terms by paying a deposit of Sh. 5,000 and five equal monthly installments of Sh. 4,500. If the cash price of the bicycle is Sh. 25,500, how much more would one pay on hire purchase than paying cash? A. Sh. 22,500 B. Sh. 2,000 C. Sh. 27,500 D. Sh. 2,500 24. What is the place value of digit 3 in the number 7830402? A. Hundred thousands. B. Ten thousands. C. Thousands. D. Hundreds. 25. Madam Mkwazu bought 2 1/2 kilograms of meat at Sh. 950 per kilo. How much did she pay for the meat? A. Sh. 2,375 B. Sh. 1,950 C. Sh. 2,275 D. Sh. 1,375 26. Find the value of t if the three angles of a triangle are: (3t-10); (t-5); (2t-3). A. 27 B. 33 C. 37 D. 14 27. Which one of the following is 5,505,055 in words? A. Five million, fifty five thousand and fifty five B. Five million, five hundred thousand, five hundred and fifty C. Five million, five hundred and five thousand and fifty five D. Five million, five hundred and fifty thousand and fifty five 28. In a scale drawing of a rectangular plot, 7 cm represents the length of the plot which is 560 m. What is the actual width of the plot represented by 3.5 cm on the scale drawing? A. 80m B.160m C. 260m D. 280m 29. Which one of the following is six million eighty five thousand, three hundred and seven? A. 6,085,037 B. 6,805,037 C. 6,085,307 D. 6,850,307 30. Paul invested a certain amount of money in a business that paid interest at the rate of 15% per annum. At the end of eight months, he withdrew Sh. 14,500 which was the interest that the amount of money invested had earned. How much money had he invested? A. Sh.190,000 B. Sh.150,000 C. Sh.145,000 D. Sh. 90, 000 31. Find the value of y in the equation: A. 5/9 B. 50/19 C. 2/9 D. 50/9 32. Wema deposited a certain amount of money in a bank which paid simple interest at the rate of 15% per annum. At the end of 9 months, she withdrew all the interest amounting to Sh. 36,000. How much money had she deposited? A. Sh. 450,000 B. Sh. 320,000 C. Sh. 480,000 D. Sh. 360,000 33. A car travelled at an average speed of 108 km/hr. What was its speed in metres per second? A. 3 m/sec B. 300 m/sec C. 5 m/sec D. 30 m/sec 34. Find the value of y if 9/y +1/5=2/5 A. 45 B. 15 C. 22.5 D. 12 35. A school water tank is 4 m long, 3 m wide and 2 m high. The school uses 5,000 litres of water everyday. If the tank is full, how long will it take for the tank to be empty? (1litre = 1,000 cm3). A. 4 days 18 hours 1 min B. 4 days 1 hours 2 min C. 4 days 9 hours 12 min D. 4 days 19 hours 12 min 36. Find the length CD in the figure shown below: A. 35 cm B. 3.5 cm C. 35 mm D. 0.35 m 37. An empty carton weighs 1.4 kg. If 80 books, each weighing 350g, were packed in the carton. What is the weight in kilograms of the carton with books? A. 28 kg B. 29.4 kg C. 2.8 kg D. 2.94 kg 38. Find the value of r; if r :13 = 3:26. A. 9/2 B. 3/4 C. 5/2 D. 3/2 39. Chale deposited Sh. 84,000 in a bank which gave interest at the rate of 10% per annum. How much money altogether did he have in the bank at the end of 7 months? A. Sh.143,000 B. Sh. 4,900 C. Sh. 88,900 D. Sh. 8,4000 40. Find the volume of the figure shown below: A.1200 cm3 B. 120 cm3 C. 10 cm3 D. 100 cm3 41. In one week, a shoe shop was opened from Monday to Saturday. On the first three days it sold 16 pairs of shoes each day. On the fourth day he sold 22 pairs, and on the last two days sold 25 pairs each day. What was the median of the number of shoes sold that week? A. 120 B. 19 C. 22 D. 16 42. List all the odd numbers between 36 and 48. A. 37, 42 and 47 B. 39, 45 and 47 C. 36, 37, 43 and 47 D. 37, 39, 41, 43, 45 and 47 43. Mrs. Nyajure deposited Sh. 75,000 in a bank which paid interest at the rate of 15% per annum. At the end of 4 months, she withdrew the money she had deposited and the interest she earned. How much money did she withdraw? A. Sh. 3,750 B. Sh. 11,250 C. Sh. 86,250 D. Sh. 78,750 44. Find the LCM of 40, 50 and 60. A. 1200 B. 840 C. 720 D. 600 45. If ; find the value of x. A. 4 B. 5 C. 40 D. 2 46. Dr. Chile travelled 180km by bus from 12.00 noon to 3.00 p.m. He then travelled in a car whose average speed was 20km/hr more than the bus and reached his destination at 5.00 p.m. What was his average speed in km/hr for the whole journey? A. 70 km/hr B. 65 km/hr C. 68 km/hr D. 50km/hr 47. Find the value of x + y as shown in the figure below: A. 59o B. 159o C. 619o D. 76o 48. The cash price of a bicycle was Sh. 70,000. Diblo bought it on hire purchase terms. The amount he paid was 25% more than the cash price. He paid a deposit plus 12 monthly installments of Sh. 6,000 each. How much deposit did he pay? A. Sh. 54,500 B. Sh. 87,500 C. Sh. 72,000 D. Sh. 15,500 49. Which one of the following sets of measurements will give a right angled triangle? A. 5 cm, 12 cm, 13 cm B. 9 cm, 16 cm, 25 cm C. 1 cm, 3 cm, 4 cm D. 6 cm, 12 cm, 16cm 50. Nine people take two days to finish a job whose value is Sh. 18,000 per day. If six men working at the same rate had done the job, how much would each man have received for completing the work? A. Sh. 2,000 B. Sh. 3,000 C. Sh. 6,000 D. Sh. 9,000 51. A certain powder is packed in 1,250g packets. How many such packets will weigh 1 tonne? A. 8,000 B. 8 C. 800 D. 80 52. A bank charged simple interest at the rate of 10% per annum. Mr. Malafu borrowed Sh. 240,000 from this bank and repaid the loan at the end of 9 months. How much money did he pay? A. Sh. 24,000 B. Sh. 258,000 C. Sh. 18,000 D. Sh. 264,000 53. Given that n = 30 – 8n + 6; find the value of n. A. 8 B. 5 C. 4 D. 3 54. Kazungu bought a radio on hire purchase terms. He paid a deposit of Sh. 9,000 and 9 equal monthly installments of Sh. 3,000. The hire purchase price was 20% more than the marked price. What was the marked price of the radio? A. Sh. 36,000 B. Sh. 28,800 C. Sh. 6,000 D. Sh. 30,000 55. A length of 46cm on a scale drawing represents an actual length of 9,200m. What is the scale used? A. 1: 50,000 B. 1: 20,000 C. 1: 2,000 D. 1: 10,000 56. Find the area of the figure shown below: A. 11.55cm2 B. 115.5 cm2 C. 110cm2 D.125.5 cm2 57. The ratio of girls to boys in a school is 3:2, respectively. If there are 120 more girls than boys, how many boys are there in that school? A. 360 B. 240 C. 600 D. 480 58. One hundred and twenty litres of juice is to be packed into two-litre packets. How many packets are needed? A. 60 B. 240 C. 80 D. 120 59. The mean weight of 6 girls is 30kg. The total weight of 4 girls is 128kg. If the remaining 2 girls weigh the same, what is the weight of each of the two girls? A. 31kg B. 26kg C. 52kg D. 180kg 60. Find the value of x and y in the figure shown below: A. x = 20o, y = 80o B. x = 20o, y = 30o C. x = 30o, y = 70o D. x = 50o, y = 40o 61. Sr. Angela took a loan of Sh. 250,000. After 24 months she paid Sh. 300,000. If this amount included simple interest, at what rate per annum was she charged the interest? A. 10% B. 20% C. 25% D.5% 62. The shoe sizes of eight children in a class were: 5,4,5,4,5,7,3 and 7. Find the sum of their mean and mode. A. 7 B. 5 C. 40 D. 10 63. The diagonal of a rectangle measures 6.5cm. If the side of the rectangle measures 2.5cm, what is the measurement of the other side in centimetres? A. 6 cm B. 3 cm C. 4.5 cm D. 3.5 cm 64. The maximum and the minimum temperatures in degrees celsius, recorded in different cities on one day were as follows: Dar es Salaam 33 and 22; Nairobi 31and 16; Accra 32 and 24; Entebbe 30 and 18. In which city was the mean temperature the highest that day? A. Khartoum B. Entebbe C. Dar es salaam D. Accra 65. A rectangular water tank is 6m long, 4m wide and 3m high. How many litres of water does the tank hold when full? A. 720 litres B. 72,000 litres C. 7,200 litres D. 72 litres 66. Find the perimeter of a circle whose radius is 56 cm. A. 352 cm B. 9856 cm C. 176cm D. 88cm 67. Maria sat for five subjects in an examination. Her marks in four subjects excluding Science were as follows: Math 78; Kiswahili – 81; English – 73; Civics – 60. If her total marks in the five subjects were 350, what was her median score? A. 70 B. 73 C. 58 D.50 68. The mean of six numbers is 6. Five of these numbers are 5, 3, 7, 8 and 3. What is the value of the sixth number? A. 26 B. 36 C. 6 D. 10 69. Find the size of angle y in the figure shown below: A. 55o B. 35o C. 59o D. 24o 70. A motorist left home at 11.15 a.m. and travelled to Kibaha, a distance of 175km away. If he travelled at an average speed of 35 km/hr, at what time did he reach Kibaha? A. 4.30 p.m. B. 5.15 p.m. C. 4:15 p.m. D. 4:20 p.m. 71. A daladala city bus covers a distance of 420km in one day, and consumes one litre of petrol for every 5km. If Petrol costs Sh. 1,500 per litre, how much money does the owner spend on petrol in 7 days? A. Sh. 882,200 B. Sh. 126,000 C. Sh. 882,000 D. Sh. 88,200 72. The heights of 6 pupils were recorded as: 1.35m, 1.42m, 1.40m, 1.50m, 1.35m and 1.38m. What was the sum of their height? A. 7.4 B. 8.20 m C. 1.35 m D. 8.4 m 73. Diana, Glory and Rita divided a string that is 492 metres long in the ratio 2:5:1, respectively. What length did each one of them get? A. 123: 307: 62 B. 123: 308.5: 60.5 C. 124: 308.5: 61.5 D. 123: 307.5: 61.5 74. The hire purchase terms of a cupboard are; a deposit of Sh. 44,000 and six monthly installments of Sh. 9,000. If the hire purchase price is 175% of the cost price, while the cash price is 25% more than the cost price, what is the cash price of the cupboard? A. Sh. 14,000 B. Sh. 70,000 C. Sh. 56,000 D. Sh. 98,000 75. A shopkeeper bought 5 trays of eggs at Sh. 1,200 per tray. Ten eggs broke and she sold the rest at Sh. 60 per egg. If a tray holds 30 eggs, what percentage profit did she make? A. 40% B. 30% C. 26.6% D. 2,400 76. Find the perimeter of the triangle ABC shown below: A. 36 cm B. 432 cm C. 432 cm2 D. 72 cm 77. Below is the number of seedlings planted by some pupils on a tree planting day: 8, 15, 11, 9, 17, 14, 12, 14, 13, 10, 18, 8, 9, 16, 17, 13, 10, and 12. What was the mean number of seedlings planted by each pupil? A. 18 B. 17 C. 216 D. 12 78. What is the LCM of 30, 54 and 60? A. 600 B. 450 C. 540 D. 240 79. If the weight of flour packed in 2.5 kg packets is increased by 25%, what would be the new weight of the packets? A. 1.85 kg B. 3.25kg C. 3.135 kg D. 3.125 kg 80. Eugene took 3 hours to walk 12 kilometres, from home to school. What was his speed in km/hr? A. 12 km/hr B. 4 km/ hr C. 3 km/hr D. 2 km/hr 81. The number of people who attended a two-day exhibition dropped from 2,500 on the first day to 2,400 on the second day. What was the percentage decrease in attendance? A. 4% B. 6 % C. 40% D. 25% 82. Find the perimeter of the trapezium shown below: A. 54 cm B. 54 cm2 C. 54 m2 D. 5.4 m2 83. During a tree planting season, the number of trees planted in May was 10% more than the number planted in June. If the number of trees planted in May was 9,900, how many trees were planted in June? A. 10,890 B. 10800 C. 8,910 D. 9,000 84. The ratio of girls to boys in a class of 40 pupils is 3:2 respectively. How many girls were present on the day when 5 girls were absent? A. 29 B. 24 C. 16 D. 19 85. The mean weight of 8 pupils is 37kg. Six of the pupils weigh as follows: 30kg, 39kg, 34kg, 35kg, 40kg and 38kg. If the remaining two pupils had equal weights, what is the median weight of the eight pupils? A. 38.5 B. 30.5 C. 39 D. 40 86. Write 1037 in Roman numbers. A. MXXXVII B. MCXXIVII C. MDXXXVII D. MCXXXVII 87. In April, a maize mill packed 2,500 bales of unga. In the previous month, 2,000 bales had been packed. What was the percentage increase in the number of bales of unga? A. 25% B. 75% C. 50% D. 500% 88. After 25% of water leaked from a tank, 375 litres still remained. How many litres of water leaked? A. 75 litres B. 125 litres C. 93.75 litres D. 400 litres 89. Ali weighed 100 kg. But after some illness, his weight reduced by 10%. A week later, he lost a further 10%. What was his weight at the end of that week? A. 80 kg B. 81 kg C. 91 kg D. 90 kg 90. An empty carton weighs 1kg. If ten packets of soap powder, each weighing 500g are packed into one carton, what is the weight of fifty such cartons full of soap? A. 300kg B. 25kg C. 250,000kg D. 250kg 91. Find the HCF of 60, 72 and 120. A. 144 B. 6 C. 12 D. 24 92. The population of Morogoro town had increased by 20% in 1992. If the population of the town in 1991 was 480,000 what was the population in 1992? A. 576, 000 B. 600, 000 C. 540, 000 D. 520,000 93. A lorry carried 50 cartons of books and 200 cartons of milk. Each carton of books weighed 40kg and each carton of milk weighed 5kg. What was the total weight in tonnes of the books and milk? A. 3 B. 4 C. 30 D. 2.5 94. Ali lent Juma Sh. 40,000 to start a business. After 8 months, Juma gave Ali Sh. 48,000 as a refund of the money he had borrowed plus the interest earned. At what rate in percentage per annum did Ali’s money earn the interest? A. 30% B. 12% C. 20% D. 15% 95. Five hundred kilograms of tea were packed in 500g packets. How many packets were obtained? A. 100 B. 10,000 C. 10 D. 1000 96. It cost Machunde a total of Sh. 950 to make a phone call for 22 minutes. If each additional minute after the first 10 minutes is charged at Sh. 50 each, find the cost for the first 10 minutes. A. Sh. 450 B. Sh. 460 C. Sh. 350 D. Sh. 370 97. A lorry weighs 3.6 tonnes when empty. It weighed 6.3 tonnes when loaded with 90kg bags of wheat. How many bags of wheat were loaded in the lorry? A. 30 B. 3,000 C. 300 D. 3 98. Which one of the following is the number 499 written in Arabic numerals? A. CDXCX B. CDCIX C. CDXCIX D. CXCIX CONTINUES NEXT WEEK..........................WELCOME TO CAPITAL HILL COLLEGE, call 0658211876
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