Please be reminded that this is a contest and not an examination, do not expect to answer all types of questions.. 11.[r]
(1)Full Name： Year:
IC No: Date： Time：
School Name： School Code：
Rules and Regulations (Please read these rules and regulation carefully)
1 Please fill in yourFULL namecorrectly, IC No, school name, school code and the date and time of contest clearly in the spaces above Those who not fill in the required particulars will be disqualified automatically
2 Do not open the question booklet until you are told to 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 youMAY NOTleave 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 is120 minutes You must stop writing when you are told to so 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 Please be reminded that this is a contest and not an examination, not expect to answer all types of questions
11 Please tear off the answer sheet carefully and returned to invigilator along with contest paper Participant only can bring back the contest papers on next week.
Scoring System
1 ForQuestion 1- 10, markswill be awarded for each correct answer ForQuestion 11- 20, markswill be awarded for each correct answer ForQuestion 21- 25, markswill be awarded for each correct answer However, you will NOT be penalised for each incorrect answer
2 The organizer reserves the right to disqualified the event of malpractice to differentiate between those outstanding students
(2)3 The diagram shows a polygon created on cm dot paper What is the area in Square centimeters, of this polygon
(3 marks)
4 201520162017 divided by 9，what is remainder of the division？ (3 marks)
5 The average minimum temperature for a week in Genting Highland is 18°C.The minimum temperatures for the first six days were 21°C, 20°C, 16°C, 21°C,17°C, 14°C.What was the minimum temperature on the seventh day?
(3 marks) 1 Evaluate:
7.0001 +
6.001 + 5.01 + 4.1 + 3.009 + 2.09 + 1.9
(3 marks)
2 If a☼b = b − a÷2, then evaluate 20☼10
(3 marks)
(3)6 The numbers from to inclusive are to be placed one per square in the figure shown so that the total five numbers in the horizontal row is the same as the total of the five numbers in the vertical column The numbers 5,6,9 are placed in the position as shown in the figure Determine the value of x
(3 marks)
9 Suppose one Malaysia Ringgit(RM1) is worth＄0.40 Singapore dollars A Malaysian tourist in Singapore buys a smart phone worth＄250 and pays RM700 What should the change be in Singapore dollars (＄)?
(3 marks) 8 As shown in the figure, AB and CD are straight lines
What is the value of x?
(3 marks) 7 A sport shop selling two type of shoes A and B with different prices.If
the price of shoes A is increased by 12% and the price of shoes B is reduced by 10%, then the prices of both type of shoes will be the same What percentage of the actual price of shoes A compare to that of the actual price of shoes B ?
(3 marks)
X 6
(4)10 Evaluate：5 + + 11 + 14 + … … +395 + 398
(3 marks)
13 As shown below, there are routes from town A to town B, routes from town B to town C and route from town C to town A How many ways are there to travel from town A to town C
(4 marks)
14 In the number sequences stated below, what is the 2015thnumber？ 2016，2015，2014，1，2013，2012，2011，1，… …，3，2，1，1 12 The price of pens and erasers is RM3.90, whereas the price of pens
and erasers is RM5.10, how many times the price of a pen is bigger than the price of an eraser?
(4 marks) 11 How many ways can we choose different numbers from 1-20 such that
their sum is equal to 30?
(4 marks)
A
(5)16 Given that 5☆6 = 29 6☆5 = 37 7☆4 = 45 11☆12 = N Find the value of N
(4 marks)
17 Three circles with radii is circumscribed tightly in an equilateral triangle, as shown above Find the perimeter of the triangle
(4 marks) 15 There are two squares in the figure below The area of the shaded
region is 33 cm² Find the perimeter of the shaded region (4 marks)
18 Given that
11 : :: 5:7
3 : :
k zy z y x
(6)22 If a>b>0 and (a-b)(a²-3b-1) is a prime, find the value of a and b
(6marks)
23 Circles O1, O2are tightly circumscribed in a square If the radii of O1, O2 are 3cm and 5cm respectively, find the side length of the square in cm
(6marks) 21 Given that triangle∆ABC，the ratio of line AD to
line BD is 3:2，while line DE is perpendicular to line BC, line DF is perpendicular to line AC
Given that the ratio of line AG to line CG is 1:4， line GH is perpendicular to line AB
Calculate the ratio of shaded region area to
the total area of triangle in percentage (%) (6 marks) 20 A 4-digit number is equal to the digit sum of the number multiplied by
109
Find the biggest number satisfied the above condition
(4 marks) 19 How many 4-digit numbers bigger than 2015 satisfies the following
conditions:
●The number is even;
●All the digits in the number are different
(7)25 Solve the following simultaneous equations:
(6marks)
ab(a+c)(b+c) = 36 bc(a+b)(a+c) = 9 ac(a+b)(b+c) = 4
24 In the diagram below, ABCD is a trapezium If AB=32, BC=5cm, CD=19cm, DA=12cm, calculate the area of ABCD
(6marks)