Mix Questions - Worksheet 1

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Chapter 3 Class 6 Ganita Prakash - Number Play - Mix Questions Worksheet 1 by teachoo Chapter: Chapter 3 Class 6 Ganita Prakash - Number Play Name: _____________________________ School: _____________________________ Roll Number: _____________________________ 2-Mark Questions A team of five drone operators ( A,B,C,D,E ) are flying their drones in a line. Their drone altitudes are: A=160" " m," " B=175" " m,C=155" " m, D=180" " m,E=170" " m. They are in the formation: D,B,E,A,C. Calculate the "Taller Neighbour" score for each operator's drone. A security system generates a temporary 4 -digit PIN from the digits {9,0,3,5}. It then encrypts the PIN by applying one round of the Kaprekar process. What is the first encrypted PIN generated? Your smart watch displays the time as 12:21. You know this is a palindromic time. To save battery, the display only turns on at palindromic times. How many minutes will you have to wait until it turns on again? A programmer is building a tool for the Kaprekar process. They need to include error handling. Explain why the program must reject an input like 7777 . A computer simulation models population decay using the Collatz sequence. If the starting population is 18 units, trace the population size at each step until it reaches 1. A landscape architect is placing four unique sculptures in a 2×2 square garden. Is it possible to arrange them such that no single sculpture is taller than all of its adjacent neighbours (i.e., there are zero supercells)? Justify with a diagram and heights. A company uses 5 -digit palindromic serial numbers for a special edition product, using only the digits {1,0,8} due to their visual symmetry. What are the smallest and largest possible serial numbers they can create? 3-Mark Questions A choreographer is arranging five dancers of different heights in a line. They want to create a visual "dip" in the middle. The goal is to achieve a "Taller Neighbour" score sequence of 0,1,2,1,0. Draw a simple bar chart representing the relative heights of the dancers to show how this is achieved. A stock market analyst tracks a portfolio of 7 tech stocks in a list. Their daily gains are [+34,+56,+45,+89,+90,+78,+65]. A stock is an "outperformer" (supercell) if its gain is higher than the stocks listed immediately next to it. a) Identify the "outperformers". b) To rebalance the portfolio visuals, the analyst can swap the positions of two stocks. Which single swap would create the maximum number of "outperformers"? The number 196 is a famous Lychrel number candidate, meaning the reverse-and-add process is suspected to never form a palindrome. In cryptography, such sequences are explored for creating non-repeating keys. Perform the first three steps of the process on 196 to show how the resulting numbers expand. Important links Answer of this worksheet - https://www.teachoo.com/25638/5398/Mix-Questions---Worksheet-1/category/Teachoo-Questions---Mix/ Full Chapter with Explanation, Activity, Worksheets and more – https://www.teachoo.com/subjects/cbse-maths/class-6/chapter-3-ganit-prakash/ Curiosity Class 6 (Science) - https://www.teachoo.com/subjects/science/class-6/ Ganita Prakash Class 6 (Maths) - https://www.teachoo.com/subjects/cbse-maths/class-11th/ For more worksheets, ad-free videos and Sample Papers – subscribe to Teachoo Black here - https://www.teachoo.com/black/   Answer Key to Mix Questions Worksheet 1 Scores: D(180m)=0,B(175m)=1,E(170m)=1,A(160m)=1,C(155m)=1. Largest number from {9,0,3,5} is 9530 . Smallest is 3059 . Encrypted PIN: 9530-3059=6471. The next palindromic time after 12:21 is 13:31 (or 1:31PM ). The difference is 1 hour and 10 minutes, which is 70 minutes. The Kaprekar process requires at least two different digits. For a number like 7777, the largest and smallest arrangements are the same. The subtraction 7777-7777 results in 0 , which stops the process and does not lead to the constant 6174 . Sequence for 18:18,9,28,14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1. Yes, it is possible. By arranging the sculptures in a snaking order of height, no single sculpture will be taller than all its adjacent neighbours. Example using heights 1,2,3,4 : 1 2 4 3 Smallest: 10001. Largest: 88888. The sequence 0,1,2,1,0 represents a Peak, Slope, Valley, Slope, Peak structure. A bar chart would show a tall bar, a shorter bar, the shortest bar, a medium-short bar, and a medium-tall bar. Example heights: 5ft,3ft,2ft,4ft,6ft. a) The "outperformers" (supercells) are 56 (since 56>34 and 56>45 ) and 90 (since 90>89 and 90>78 ). b) Swapping 45 and 90 creates the list [34,56,90,89,45,78,65]. The new supercells would be 56,90 , and 78 , for a total of 3 . Step 1: 196+691=887. Step 2: 887+788=1675. Step 3: 1675+5761=7436.