Number Bases, Circles & Fractions Explained: 9 Maths Questions Solved Step by Step

Number bases, circles and fractions made simple by ScholarNestHub. In this video we solve 9 maths questions step by step, with the formula, the working and the final answer for each one. Pause on every question, try it first, then check your method. 📘 QUESTIONS SOLVED IN THIS VIDEO NUMBER BASES Q1. Convert 75 in base ten to base two. Answer: 1001011 (base two) Q2. Convert 144 in base five to base ten. Answer: 49 Q3. Evaluate 1101 + 101 + 10 in base two. Answer: 10100 (base two) Q4. Subtract 34 from 412 in base five. Answer: 323 (base five) CIRCLES Q5. Name the parts of a circle: circumference, chord, diameter and semicircle. Q6. Find the circumference of a circle when d = 10 cm (π = 3.14) and when r = 14 cm (π = 22/7). Answers: 31.4 cm and 88 cm Q7. The circumference of a circle is 44 cm. Find its diameter and radius. Answers: d = 14 cm, r = 7 cm FRACTIONS Q8. Evaluate 3/5 × 3/4 and 7/25 × 40. Answers: 9/20 and 11 1/5 WHOLE NUMBERS Q9. Subtract 480 from the sum of 1,084 and 4,810. Answer: 5,414 🔑 KEY FACTS COVERED Base ten to another base: divide by the base and read the remainders upwards Another base to base ten: multiply each digit by its place value, then add Adding and subtracting in a number base Circumference: C = πd = 2πr, and d = 2r Parts of a circle: circumference, chord, diameter and semicircle Multiplying fractions: top × top, bottom × bottom, and cancel first 🎯 WHO THIS VIDEO IS FOR Primary and secondary school students, parents helping with homework, teachers, and anyone revising number bases, circles and fractions or preparing for school and entrance exams. 📌 HOW TO GET THE MOST FROM THIS VIDEO 1. Read each question and pause the video. 2. Try to solve it in your notebook. 3. Press play and compare your steps with the solution. 4. Practise again with your own numbers until it feels easy. 🌐 MORE FREE LEARNING RESOURCES Visit https://www.scholarnesthub.com for more step-by-step maths lessons, worked solutions and study materials. 👍 If this video helped you, LIKE it, SUBSCRIBE to ScholarNestHub and turn on the notification bell so you don't miss the next lesson. Share it with a parent, teacher or classmate who needs it. Presented by Idy James | ScholarNestHub: Empowering Academic Excellence Through Research. #NumberBases #CircumferenceOfACircle #Mathematics #ScholarNestHub #MathsTutorial #Fractions #WorkedSolutions