Mix Questions - Worksheet 1

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Chapter 3 Class 7 A Peek Beyond The Point - Mix Questions Worksheet 1 by teachoo Chapter: Chapter 3 Class 7 Maths – A Peek Beyond Point Name: _____________________________ School: _____________________________ Roll Number: _____________________________ ( 2 Marks) A car mechanic reports that a new piston is 0.2 cm wider than the engine's cylinder. Explain in practical terms why the engine will not work with this piston. (2 Marks) At a jewelry store, a gold chain is marked as weighing 8.30 g . Another, identical-looking chain is marked 8.3 g . As a customer, what can you infer about the store's weighing scales from the " 8.30 g " label? ( 2 Marks) A bill for an online purchase is ₹1500.08. Explain to a friend what the ". 08 " part of the price means and why the ' 0 ' is critically important. (2 Marks) Imagine you are a 17th-century merchant. Explain why using a decimal system for money (like 3.5 florins) is more efficient for trade than using a system of 3 florins, 12 shillings, and 5 pence. (2 Marks) A science experiment requires exactly 1.5 litres of a solution. You have a 500 ml beaker and a 1 litre flask. Can you create the exact amount needed? Explain your steps. (2 Marks) The expression 1.75-0.6 is used by an engineer to calculate the remaining length of a steel rod. What does this calculation represent in the physical world? (2 Marks) Before buying three items priced at ₹99.75, ₹49.50, and ₹199.99, you mentally estimate the total as "100 + 50 + 200 = 350". Why is this a valuable real-world skill for budgeting? ( 3 Marks) A recipe from a UK food blogger asks for 0.25 pounds of butter. Your kitchen scale only shows grams. If 1 pound is approximately 453.6 g , how many grams of butter do you need to measure out? (3 Marks) A Mars rover starts at a base station. Its mission plan is to travel 0.25 km north, then 0.25 km north again, and then a final 0.25 km north. What are the rover's distances from the base station after completing each of the three steps? (3 Marks) An American tourist needs a wooden plank 2.5 feet long. A carpenter in India has a measuring tape in inches and cm . How many inches long should the carpenter cut the plank? Is this a practical measurement to make? ( 1 foot =12 inches). Important links Answer of this worksheet - https://www.teachoo.com/25614/5373/Mix-Questions---Worksheet-1/category/Teachoo-Questions---Mix/ Full Chapter with Explanation, Activity, Worksheets and more – https://www.teachoo.com/subjects/cbse-maths/class-7/chapter-3-ganit-prakash/ Science Class 7 – https://www.teachoo.com/subjects/science/class-7/ Maths Class 7 - https://www.teachoo.com/subjects/cbse-maths/class-7/ 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 0.2 cm is equal to 2 mm . In an engine, parts must fit perfectly. A piston that is 2 mm too wide will not fit into the cylinder, causing the engine to seize. The " 8.30 g " label implies the scale is precise to the hundredth of a gram. The " 8.3 g " label might be from a scale that is only precise to the tenth of a gram. Both represent the same weight, but the first implies a more accurate measurement. The " .08 " represents 8 paise, or 8/100 ths of a rupee. The ' 0 ' is a crucial placeholder for the tenths place, indicating there are zero tenpaise amounts. Without it, ₹1500.8 could be mistaken for ₹1500.80 (eighty paise). The decimal system is base-10, making calculations simple (e.g., 3.5× rate). The old system has multiple bases ( 12 pence in a shilling), requiring complex conversions for multiplication and addition, making trade slow and error-prone. Yes. 1.5 litres is 1500 ml . You can fill the 1 litre flask ( 1000 ml ) and then fill the 500 ml beaker, and combine them to get exactly 1500 ml . It represents the physical action of taking a rod of length 1.75 units and cutting off a piece of 0.6 units. The result, 1.15 units, is the length of the remaining piece. This skill allows for quick budget checks. You can instantly know if you have enough money to cover the purchase and can quickly spot a major billing error without needing a calculator. You need 0.25×453.6=113.4 grams of butter. After step 1: 0.25 km . After step 2: 0.25+0.25=0.5" " km. After step 3: 0.5+0.25=0.75" " km. 2.5 feet =2.5×12 inches =30 inches. This is a practical measurement to make with a standard measuring tape.