This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Okay, let's tackle the rest of the questions from the image. 5. Find the product of 35 and 12. Step 1: Multiply 35 by 12. 35 × 12 = 420 The product of 35 and 12 is 420. 6. How many 180g could be obtained from 1kg? Step 1: Convert 1kg to grams. 1 kg = 1000 g Step 2: Divide the total mass in grams by the mass of each portion. 1000 g180 g ≈ 5.55 You can obtain 5 full 180g portions from 1kg. 7. A square is 36 cm^2 in area. What is its perimeter? Step 1: Find the side length of the square using its area. The area of a square is s^2, where s is the side length. s^2 = 36 cm^2 s = sqrt(36 cm)^2 = 6 cm Step 2: Calculate the perimeter of the square. The perimeter of a square is 4s. Perimeter = 4 × 6 cm = 24 cm The perimeter of the square is 24 cm. 8. How many centimetres are in 2.5 metres? Step 1: Use the conversion factor 1 metre = 100 centimetres. Step 2: Multiply 2.5 metres by 100. 2.5 m × 100 cmm = 250 cm There are 250 cm in 2.5 metres. 9. What fraction of a metre is 50cm? Step 1: Convert 1 metre to centimetres. 1 metre = 100 cm Step 2: Express 50cm as a fraction of 100cm. 50 cm100 cm = (1)/(2) 50cm is (1)/(2) of a metre. 10. Find the cost of 5 shirts with a price tag £17? Step 1: Multiply the cost of one shirt by the number of shirts. £17 × 5 = £85 The cost of 5 shirts is £85. That's 2 down. 3 left today — send the next one.