UGANDA NATIONAL L EXAMINATIONS BOARD PRIMARY LEAVING EXAMINATION 2019 MATHEMATICS Time Allowed: 2 hours 30! minutes Random No. Personal No. Index No. —_— Tr 4 Candidate's Name: .... Candidate's Signature: School Random No. . District ID: Read the following instructions carefully: FOR EXAMINER: 1 1. Do not write your school or district name ——— USEONLY __| anywhere on this paper. Qn.No. = MARKS ae 2. This paper has two sections: A and B. —_———__ Section A has 20 questions and section B ine has 12 questions. The paper has 16 r= 77 ee | printed pages. - - 3. Answer all questions. All the working for 11-15 both sections A and B must be shown in the spaces provided. 16 - 20 4, All working must be done using a blue or 21-22 | black ball point pen or ink. Any work done = - | in pencil other than graphs and diagrams 23-24 will not be marked. L __ 5. No calculators are allowed in the 25 - 26 examination room. — ot xaminatic / a 6. Unnecessary changes in your work and. fT handwriting that cannot easily be readmay 29 - 30 lead to loss of marks. ee | | ee 7. Do not fill anything in the table indicated: 31-32 | { “For Examiners’ use only” and boxes | a inside the question paper. foes - © 2019 Uganda National Examinations Board Turn OverSECTION A: 40 MARKS Answer all the questions in this section Questions 4 to 20 carry two marks each Work out: 534 -123 Write XCVII in Hindu Arabic numerals. Simplify: 3p +p-2p In the Venn diagram below, shade the region (S UT)’ €5. Round off 53.86 to the nearest tenth. 6. Using a pair of compasses, a pencil and a ruler only, construct a perpendicular from point Conto the line segment AB below. 7. Change 250 grammes into kilogrammes. 3 Turn Over8. — Given that K represents 26 girls in a class and k represents 20 boys in the class, find the total number of pupils represented by x K k 9. Solve: 3 + m = Afinite 5) 10. In the diagram below, find the value of bin degrees. b+ 20° 110° [|11. Find the next number in the sequence: 58, 33, 17, 8, 12. Calculate the speed of a motorist who covered a distance of 210 kilometres in 24 hours. 13. Change 8ten to binary system. Find the smallest number that can be divided by 8 or 12 and leaves 5 as the remainder. 14. Turn Over15. A teacher deposited sh 72,000 in a bank. After one year, the teacher earned a simple interest of sh 3,600. Calculate the simple interest rate of the bank. [_] 16. Study the coordinate graph below and use it to answer the questions that follow: __, Aves (a) Write the coordinates of point G. (b) Plot the point H(-3,0) on the coordinate graph.Atrain left station Kat 11 38 hours and reached station Mat 17. 14 27 hours. How long did the train take to travel from Kto M? 18. Find the solution set for k + 2 < 6. 19. Ashopkeeper bought 19 plates at sh 34,200. At what price must the shopkeeper sell each plate in order to raise a profit of sh 3,800? Mawa built a circular hut of circumference 66 metres using poles. The 20. poles were fixed at intervals of 1.5 metres. Calculate the number of poles he used. Turn OverSECTION B: 60 MARKS Answer all questions in this section Marks for each question are indicated in brackets 21. The diagrams below represent subtraction of two numbers on abacus, Study the diagrams and use them to answer the questions that follow: e 2 ee. fe ; & . Ss i 2 Ss so WF GF Pa gg | | | | | - | | | | | | Po (a) Write down the numbers represented in the subtraction. (02 marks) (b) Hae al the subtraction and represent your answer on the third (03 marks)22. A class of 68 pupils was serve ate matooke and 2h at 9 pupils did not eat eitt ed matooke te rice. 7 Pupils at her of the foods, (M) and rice (R). 30 pupils fe both matooke and rice while (@) Use the given information to complete the Venn diagram below, (02 marks) n(€) = 68 n(M)=30 —n(R)=2h i i 2 (03 marks) (b) How many pupils ate rice only? . 2-4x0-5 (03 marks) 23. (a) Work out: 0-12 Turn Over(b) Simplify; 0-37- 1:03 + 2°6 (02 marks) 24. In the figure below, PQis parallel to RS and ABis perpendicular to AR. Study the figure and answer the question that follows. Find the size of angle c. (04 marks)25. The diagram below represents a container which a shopkeeper uses to sell cooking oil. 20cm On a certain day, the shopkeeper sold 15.4 litres of cooking oil. How Many such containers of cooking oil were sold that day? (Use x = 2), (05 marks) 1 Turn OverKizza went to a market with sh. 30,000. She bought the items. shown in the table below. After paying for all the items, she remained with sh. 9,250. Complete the table. (06 marks) —— _ Item Unit cost | Total cost | 2kg of sugar _,$h4,000 per kg _| 3 loaves of bread sh... per loaf _/sh. litres of milk sh 1,500 per litre sh 2,250 Total Expenditure sh. a speed of 64 km/h. (a) Calculate the total distance covered by the bus from town A to town C (03 marks)(b) At what time did the bus reach town C? (03 marks) 28. The table below shows the marks obtained by some pupils in a test. Use the information to answer the question that follows. Marks Number of pupils 2 6 | m | 60 70 3 3 If the mean mark of the pupils was 55, find the value of m. (04 marks) Turn Ove”29. The number of goats, cows and sheep on a certain farm are in the ratio of 4:3:5 respectively. There are 40 more sheep than goats on the farm. Find the number of each type of animal on the farm. (05 marks) 30. In the parallelogram ABCD below, lines DX and DYare perpendiculars to ABand BC respectively. Line AB = 16 cm, BC= 12 cm and DX¥= 6 cm. D 46cm c (a) Calculate the area of the parallelogram. (02 marks)(b) Find the length Dy. (03 marks) |] In a market, the cost of a Pawpaw is sh 800 more than the cost of a mango. A mango costs two thirds of the cost of a pineapple. The total Cost of the three fruits is sh 4,300. Calculate the cost of a pineapple. (04 marks) 31. 15 Turn Over32. A boatman sailed from island P on a bearing of 300° to island Q for a distance of 56 km. The boatman then left island Q and sailed on a bearing of 230° to island R for a distance of 40 km. (a) Using a scale of 1 centimetre to represent 8 kilometres, draw an accurate diagram to show the route of the boatman. (05 marks) (>) Find the bearing of island & from island P. (01 mark) END