2015 CONTEST. Rules and Regulations (Please read these rules and regulation carefully)

Size: px

Start display at page:

Download "2015 CONTEST. Rules and Regulations (Please read these rules and regulation carefully)"

Mariah McCoy
5 years ago
Views:

1 MATHS OLYMIAD Full Name: Date: School Name: Year: Time: IC No: Rules and Regulations (lease read these rules and regulation carefully) 1. lease fill in your FULL name correctly, IC No, school name, school code and the date and time of contest clearly in the spaces above. Those who do not fill in the required particulars will be disqualified automatically. 2. Do not open the question booklet until you are told to do so. You may only use 2B pencil when answering the questions. 3. No calculators and any unauthorised electronic devices (including mobile phones) are allowed during the contest. 4. Strict silence must be observed at all times in the examination hall and please be reminded that you MAY NOT leave your seat without permission. 5. If you have any request or enquiry, please raise your hand and wait for an invigilator. 6. Only one candidate is allowed to leave the hall at a time. You are required to return to the hall within 10 minutes or else you will automatically be disqualified from the contest. 7. Each question in the contest have been verified by experienced trainers, thus no further explanation will be given. 8. The time allowed for the paper is 90 minutes. You must stop writing when you are told to do so. 9. You MUST fill in your answer in the answer sheet provided in second page of the question booklet. You will not be awarded marks for any answer written in the question booklet. 10. lease be reminded that this is a contest and not an examination, do not expect to answer all types of questions. 11. lease tear off the answer sheet carefully and returned to invigilator along with contest paper. articipant only can bring back the contest papers on next week. 12. lease be reminded that if the contestants can t attend the contest, we don t accept any replacement contestants. If found any, the contestant will be disqualified automatically. Scoring System 1. Scoring system for each question are as below: I. Questions 1-10 : 3 Marks x 10 = 30 Marks II. Questions : 4 Marks x 10 = 40 Marks III. Questions : 6 Marks x 5 = 30 Marks IV. Total : 100 Marks 2. The organizer reserves the right to disqualified the event of malpractice to differentiate between those outstanding students. 3. Contestants or a team who are disqualified from the contest will be forfeited any right to re-sit this year.

MATHS OLYMIAD 2015 ANSWER SHEET 1 6 11 16 21 2 7

2 MATHS OLYMIAD 2015 ANSWER SHEET

3 MATHS OLYMIAD 1 Calculate = Calculate ( ) = Both and represent a natural number. Assume x = 42, then ( x 4) x ( 3) = 4 Calculate 10 x 9 x x 6 x x 5 x x 2 x 1-9 x 8 x7-8 x 7 x 6-5 x 4 x 3-4 x 3 x 2 = 5 Calculate : (6 x x ) (3 x x ) =

4 MATHS OLYMIAD 6 A cup of lemon juice is 2 ringgit and a cup of hot coffee is 1 ringgit, one has sold a mixture of 350 cups of them and gets 536 ringgit. How many cups of lemon juice has one sold? 7 How many triangles are there in the picture below? 8 Uncle Lee takes a train from Johor Bahru to Butterworth, below are his take off and arrival time. How much time (in minutes) has he spent on the train from Johor Bahru to Butterworth. Take off time : 9 th February 2014, 11.33pm Arrival time : 11 th February 2014, 1.33am 9 Calculate = 10 There are 8 students, each of them shakes hands with each other without repetition, altogether they have shake hands number of times.

5 MATHS OLYMIAD 11 If the number 1, 2, 3, 4, 5, 6..38, 39, 40 are put together, from left to right so it becomes a new number , how many digits does this new number has? 12 If 2 times a number minus half of this number gets 1500, what s this number? 13 How many divisors are there for natural number 180? 14 If 20 birds can exchange for 5 rabbits, 30 rabbits can exchange for 4 goats, 9 goats can exchange for 3 pigs, 8 pigs can exchange for 2 cows. How many birds can 5 cows exchange for? 15 Fill in the blank with number 4, 5, 6 and 7 so the equation is correct. 2 x [( ) 3] ( ) 1 + ( ) = ( )

6 MATHS OLYMIAD 16 Janet divides 3621 with a 2 digits number, in the calculation, she mistakenly revert tens-digit and single-digit, that gives her a results of 51. What shall be the correct answer? 17 Which number has the biggest value in the list below? ,,, Stationary A has 39 items, stationary B 73 items and stationary C 128 items. These items are equally distributed to the students in a class. After distribution, stationary A remains 3 items, stationary B remains 1 item and stationary C remains 20 items. At most, how many students are there in the class? 19 Water in buckets A and B add up to 28 liters. In the first move, empty 3 1 of the water in bucket B into bucket A. After that, empty half of water in bucket A into bucket B. Finally, empty 5 liters of water from bucket B back into bucket A. Now we have 2 liters water more in bucket A compare to bucket B. Assume no water spill off from any buckets during the processes, initially bucket A has liters of water.

7 MATHS OLYMIAD 20 The diagram below is constituted of few rectangular shapes overlapping each other. If the unit is in meter, the area of the diagram is square meters. 21 Calculate : divided by 5, remains (6 marks) 22 A pool of 110 bottles has 3 different types of drinks which are mineral water, fruit juice and soya drink. If one takes 1 of the mineral water, 1 of the fruit juice and drinks.if one takes 2 1 of the soya drink from the pool, one gets 35 bottles of 4 1 of the mineral water, 4 1 of the fruit juice and 3 the soya drink from the pool, one gets 45 bottles of drinks. How many bottles of fruit juice are there in the pool? (6 marks) 3 1 of 2

8 MATHS OLYMIAD 23 The diagram below shows a square being cover up with 4 isosceles triangles (triangle with at least two sides of equal length). As the perimeter of the square is 24cm and the area of the diagram is 84cm 2, find the value of R. (6 marks) 24 One arrange 6 balls in a straight row, in which number 1, 2 and 3 are black balls whereas number 4, 5 and 6 are white balls, as shown in D1 below. If one exchange ball number 2 and 5 which means one swap, then the arrangement of the 6 balls become as shown in D2, which is black and white in alternate sequence. Now there are 40 balls in a straight row, number 1 to 20 are black balls, 21 to 40 are white balls. In order for this straight row to becomes black and white in alternate sequence, one must at least swap how many times? D1 D2 (6 marks) 25 Group A has 10 persons and group B has 9 persons, they all go to watch movie together. In these 2 groups, only 14 persons bought pop-corn, each of them with 1 pack. The money consumes (movie ticket plus pop-corn) for each group is the same. The movie ticket is 18 ringgit for 1 person and the price of 1 pack of pop-corn is an integer number. The price of 1 pack of pop-corn is ringgit. (6 marks)

2015 CONTEST. Rules and Regulations (Please read these rules and regulation carefully)

2015 CONTEST. Rules and Regulations (Please read these rules and regulation carefully) MATHS OLYMIAD Full Name: Date: School Name: Class: Time: IC. No: Rules and Regulations (lease read these rules and regulation carefully) 1. lease fill in your FULL name correctly, IC No, school name, class