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Grade 6 Mathematics · Strand 1: Numbers · Inequalities

Forming Inequalities with Multiplication and Division

A short Grade 6 Mathematics lesson for the CBE curriculum, part of Numbers: Inequalities. Learn it on any phone with notes and slides, then check yourself with a quick quiz and earn XP. This lesson is free.

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  1. 1. Farmer Juma packs maize into identical sacks of mass m kg each. Three sacks together weigh more than 12 kg. Which inequality shows this?

    • A. m + 3 > 12
    • B. 3m > 12
    • C. \frac{m}{3} > 12
    • D. 3m < 12
  2. 2. A tank holds w litres of water. It is shared equally among 3 plots, and each plot gets less than 50 litres. Which inequality models this?

    • A. 3w < 50
    • B. \frac{3}{w} < 50
    • C. \frac{w}{3} > 50
    • D. \frac{w}{3} < 50
  3. 3. In the inequality 5a > 35, what is the number 5 called?

    Type your answer in the lesson.

  4. 4. A tea picker fills 4 identical sacks, each weighing p kg. The total weight is less than 28 kg. Which inequality models this, and what whole number of kilograms is the greatest possible value of p?

    • A. 4p < 28; p can be at most 6
    • B. 4p < 28; p can be at most 7
    • C. p + 4 < 28; p can be at most 23
    • D. \frac{p}{4} < 28; p can be at most 111
  5. 5. Eight packets of beans, each of mass p kg, weigh more than 16 kg altogether, so 8p > 16. What is the smallest whole number of kilograms that p could be?

    Type your answer (in kg) in the lesson.

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