Think! Mathematics 8th Edition | Exercise 1B | Q7 to Q14 Solutions | Vector Victory

Описание: Welcome back to Vector Victory! In today’s lecture, we dive deep into Exercise 1B of the Think! New Syllabus Mathematics Book (8th Edition). We provide step-by-step solutions for Questions 7 through 14, focusing on prime factorization, perfect squares, cubes, and real-world word problems.

Q7: Find the smallest non-zero whole number which can be multiplied by 112 to give a square number. #Question7
Q8: Find the smallest non-zero whole number which can be multiplied by 162 to give a cube number. #Question8
Q9: A textbook is opened at random. Without using a calculator, find the pages the textbook is opened to, given that the product of the facing numbers is 420. #Question9
Q10: The area of a square photo frame is 250 . Find the perimeter of the photo frame, leaving your answer correct to 1 decimal place. #Question10
Q11: The volume of a box in the shape of a cube is 2197 . Find the area of one side of the box. #Question11
Q12: Raju has 2020 one-centimetre square tiles. He makes the largest square possible using some of the 2020 square tiles. How many square tiles does he have left over? #Question12
Q13: Use prime factors to explain why $6 \times 54$ is a perfect square. #Question13
Q14 (i): k is a non-zero whole number. Given that 6 times 54 times k is a perfect cube, write down the smallest value of k.
#Question14i
Q14 (ii): p and q are both prime numbers. Find the values of p and q so that 6 times 54 p q} is a perfect cube. #Question14ii

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