Mathex 2013 Year 10 10/1 Put a circle round the correct answer: What is the value of the 100thdigit in the expansion of onethirteenth? A) 0 b) 7 c) 6 d) 9 10/2 You roll an 8-sided die. Your score is all the dots you can see on the7 observable faces. If you score 33,which number is face down? 10/3 Giveyour answer in roman numerals: MMXIII subtract MCI 10/4 I buy a DVD with a series of a policedrama. Each of the dramas are exactlythe same length. If the total time ofthe DVD is 15.2 hours and there are 10 episodes, how long is each of theseepisodes, in minutes? 10/5 Use 1, 2, 3, 4, 5 and 6 to make two3-digit numbers with the smallest possible difference between them. State that smallest difference. 10/6 Jane says the numbers from one to onehundred. What is the sum of all thesenumbers? 10/7 Writethe number 68 as the sum of two primes. 10/8 Joelis playing a Think of a Number game with his maths group. Teacher says: Think of a number under 20,multiply it by 8, subtract 12, quarter it and add 1, and now halve youranswer. Joel’s finishing number was 9.What was his starting number? 10/9 Find the smallest possible number thatleaves a remainder of 1 when divided by 2, 3, 4, 5 or 6, but which can bedivided by 7 exactly. 10/10 List thenumbers between 1 and 20 which cannot be expressed as the sum of positive consecutivenumbers? 10/11 Anenterprise group in school is making scarves to raise funds for the newlibrary. It costs $300 dollars to hirethe equipment to makes the scarves and the cost of material for each scarf is $3. How many must they sell at $10 to achieve atleast $500 profits for the library?
10/12 The square has a side of 1 and the rectanglehas sides 1 and x. Findthe perimeter of the figure. 10/13 The area of a rectangle has one sideincreased by 10%, and the other side reduced in order to keep the area the same. By what percentage must the side beshortened? Give your answer exactly. 10/14 Findthe area of the figure with vertices: (4,0), (0,3), (-3,-1), and 1,-4) 10/15 Eighthundred and thirty seven subtract a three digit number equals some hundred andsome tens five. This subtraction usesall the digits from one to nine. Findthe smallest answer to the subtraction. 10/16 If the alphabet is laid out and thevalue of one given to A and subsequent letters are halved in value, what willthe value of Z be expressed, as a fraction raised to a power? 10/17 TheBEE calculates the basic energy expended per day. MALES: BEE = 66 + 13.7w + 5h - 6.8a FEMALES BEE = 655 + 9.6 w + 1.7h - 4.7a Where w isweight in kilograms, h is height in centimetres, and a is age in years. How much more basic energy is expended by aboy than a girl if they both weight 60kg,are 160cm tall and 15 years old? 10/18 I have a bag of coins. In it, onethird of the coins are gold, one fifth of them are silver, two sevenths arebronze and the rest are copper. My bag can hold a maximum of 200 coins. Howmany coins are in my bag? 10/19 = + + , Whatis expressedas the sum of 3 unit fractions where the first fraction isa half ? 10/20 The triangleT has sides of length 6, 5, 5. The triangle U has sides of length 8,5, 5. What is the ratio area T : area U? |