Mass — answers

for a grown-up2 questions

This is the marking copy and it carries every answer. Her sheet is the other file — same numbering, same margin codes, so you can mark straight down the page.

  1. S24-B84 marks

    The total mass of a box and a watermelon was 7 kg 34 g. When some strawberries were added into the box, the total mass became 8600 g. The watermelon was 3 times as heavy as all the strawberries added. Find the mass of the box, in grams.

    answer 2336

    method Work in grams: 7 kg 34 g = 7034 g. Adding the strawberries took the total from 7034 g to 8600 g, so the strawberries weigh 8600 − 7034 = 1566 g. The watermelon is 3 times that: 3 × 1566 = 4698 g. The box and watermelon together were 7034 g, so the box = 7034 − 4698 = 2336 g.

    watch Reading 7 kg 34 g as 7340 g. It is 7000 + 34 = 7034 g — the 34 fills the ones and tens columns, not the hundreds.

  2. S24-C15 marks

    Mr Lee had an apple, a papaya and a honeydew. He weighed them in pairs: apple + papaya = 730 g, apple + honeydew = 1960 g, honeydew + papaya = 2470 g. What was the mass of the honeydew, in grams?

      Setup 1   apple + papaya      =  730 g
      Setup 2   apple + honeydew    = 1960 g
      Setup 3   honeydew + papaya   = 2470 g

    answer 1850

    method Add all three weighings: 730 + 1960 + 2470 = 5160 g. Every fruit has been weighed exactly twice, so the three fruits together weigh 5160 ÷ 2 = 2580 g. The honeydew is the one missing from Setup 1, so honeydew = 2580 − 730 = 1850 g.

    watch Subtracting two of the weighings and hoping. Adding all three and halving is what turns three pair-weights into the single total, and the rest is one subtraction.