THE ULTIMATE MATHEMATICS AMBASSADOR SECTION A
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2 SECTION A INSTRUCTION: Answer all questions in this section. Pick the appropriate answer from the options lettered A to E. 1. What is the smallest number which can be divided by 6, 8 and 11 without a remainder? (a) 528 (b) 264 (c) Find the average of 29, 21, 62, 21 and 47 (a) 45 (b) 30 (c) A trader bought an article for N6 000 and sold it for N What is his profit? (a) N600 (b) N (c) N660 N1 000 N What is the value of the digit 7 in the number (a) 7 (b) 70 (c) Express 0.04 as a percentage (a) 0.04% (b) 0.4% (c) 4% 40% 44% Page 2
3 6. What is the next term in the sequence: 3, 7, 12, 18, 25, (a) 33 (b) 32 (c) How many angles does a quadrilateral have? (a) 8 (b) 7 (c) Express 741 in roman numerals (a) DCXLII (b) DCCXXXI (c) DCCLXI CCCMXLI DCCXLI 9. What number is as much greater than 65 as 78 is less than 101? (a) 88 (b) 114 (c) Find the cost of several bags of cement weighing 278kg if the bags cost $150 per tonne (a) $40.70 (b) $41.70 (c) $43.80 $44.80 $ How many times is contained in 0.4? (a) 5 (b) 35 (c) Page 3
4 12. Simplify (a) 0 (b) 1 (c) A farmer has cleared of his farmland. What fraction of his farmland remains uncleared? (a) (b) (c) 14. Find the ratio of 72 seconds to one hour in its simplest form. (a) 6:5 (b) 5:6 (c) 1:50 6:50 50:1 15. Find the difference between the square root of 81 and the square root of (a) 36 (b) (c) 16. During a sale, a store sells a skirt marked for sale at N3 250 for N What is the total discount allowed on fifty of such skirts? (a) N 300 (b) N1 500 (c) N N N Page 4
5 17. Find the volume of a cuboid of dimension 14cm by 10cm by 7cm (a) (b) (c) 18. What is the difference between the values obtained when is approximated to one decimal place and corrected to 3 significant figures? (a) (b) 0.57 (c) Efe covers a distance of 206km in 2 hours. What is his average speed? (a) 208km/hr (b) 412km/hr (c) 103km/hr 204km/hr 13km/hr 20. What is the sum of the number of faces and vertices in a triangular prism? (a) 4 (b) 5 (c) Tayo added three to five times a number and gets 68. Find the number (a) 13 (b) 15 (c) What fraction of two weeks four days is six days? (a) (b) (c) Page 5
6 23. A truck driver uses 110 litres of diesel per day. What amount of diesel will the truck consume in the month of January? (a) 3300litres (b) 3030litres (c) 3140litres 3430litres 3410litres 24. Suppose today is Saturday. What day of the week will it be after 100 days? (a) Monday (b) Tuesday (c) Wednesday Thursday Friday 25. The price of an item costing N500 was increased by 10%. The new price was later discounted to a buyer at 10%. How much did the buyer pay for the item? (a) N500 (b) N550 (c) N600 N450 N In what time will N yield an interest of N99.00 at the rate of 9% per year? (a) 1 year (b) 3 years (c) 4 years 5 years 10 years 27. The three angles of a triangle are in the ratio 1:2:3. What is the size of the biggest angle? (a) (b) (c) Page 6
7 men can do a piece of work in 12 days. How many men working at the same rate are required to do it in 9 days? (a) 54 (b) 108 (c) What fraction of the square below is unshaded? (a) (b) (c) 30. Tomiwa is standing in a queue. There are 13 people in front of Tomiwa and 9 people behind her. How many people are there altogether in the queue? (a) 9 (b) 13 (c) A man spent of his salary on food, on transport and the remaining on clothes. How much did he spend on clothes if he spent N400 on transportation? (a) N400 (b) N500 (c) N160 N240 N960 Page 7
8 32. A drum of capacity 5 litres was used to fetch water into a rectangular tank of dimensions 70cm by 50cm by 40cm. How many drums will be required to fill two third of the tank? (a) 28 (b) 16 (c) On an atlas map, 1cm represent on the ground. A road is long. How long will it be on the map? (a) 3.5cm (b) 1cm (c) 7.5cm 26.25cm 34. A salesman was paid 6% commission on the sales worth up to N2000 and 4% commission for any extra sales. What will be his total commission if he makes a sale worth N6 000? (a) N120 (b) N280 (c) N160 N360 N Musa used 32 sticks, each of length to form a square. What is the area of the square formed? (a) (b) (c) The net of cylindrical prism consist of (a) A rectangle and a circle (c) A rectangle and two circles 2 rectangles and a circle (b) A square and 2 kites 2 rectangles and 2 circles Page 8
9 37. Kate and Gladys went to pick mangoes from their school garden. Gladys picked 90 mangoes while Kate picked 120 mangoes. What fraction of her mangoes should Kate give Gladys so that they have equal number of mangoes? (a) (b) 10 (c) Jermaine is trying to fill the tank in his house with water. He fetches the water using a bucket of capacity 8 litres from a tap, 5m away from the tank. Find the minimum distance he must travel to fill the tank, given that the tank has a capacity of 128 litres (a) 16m (b) 32m (c) 40m 80m 160m 39. How many rectangles of any size are there in the figure below? (a) 8 (b) 10 (c) A trader bought 8.5kg of rice for N90.00/kg, 4kg of beans at N95.00/kg and 7.5kg of spaghetti for N114.00/kg. She mixed them together and packaged them for sale. If she makes a profit of 15%, how much will she sell 6kg of the mixture? (a) N510 (b) N575 (c) N620 N690 N750 Page 9
10 SECTION B INSTRUCTION: Answer all questions in this section. Write ONLY the answer to each question in this section in the appropriate space provided in the answer sheet. 41. Find the sum of all odd numbers between 3 and What is the H.C.F. (Highest Common Factor) of 6, 8 and 10? 43. A line that divides a circle into two equal parts is called a 44. One of the angles in an equilateral triangle is Find the difference between the remaining two angles. 45. What is the largest number that can be formed from the digits 2, 8 and 7, if each digit cannot be repeated? 46. A goat walked once round a fenced rectangular farm of length 420m and breadth 510m. How many did the goat walk altogether? 47. Peter built a podium using cubes, by placing them on top of each other, as shown in the picture below. How many cubes did he use in building it? Page 10
11 48. Ikechukwu s birthday comes up on the th day of the year. On what date (month and day) is his birthday? 49. Aminu s father was years old when he was born. At what age will Aminu s age be exactly of his father s age? 50. The average age of 5 pupils in a class is 8 years. When two pupils of the same age are removed from the class, the average age rises to 10 years. How old is one of the pupils removed? Page 11
12 SECTION C INSTRUCTION: Answer all questions in this section. Show all your workings in this section clearly, neatly and orderly. 1. Evaluate: (5 marks) 2. Tunde is 9 years old while his sister, Bunmi is 15 years old. They shared their pocket money N2 040 in the ratio of their ages. What is the difference between the amounts that they shared? (5 marks) Page 12
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