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Grade 6 Mathematics · Strand 1: Numbers · Inequalities

Solving and Applying Real Life Inequalities

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. A school tank holds 150 litres. A pipe adds 25 litres each minute (m). The tank must hold strictly more than 400 litres. Which inequality and solution is correct?

    • A. 25m + 150 > 400; m > 10 minutes
    • B. 25m + 150 < 400; m < 10 minutes
    • C. 150m + 25 > 400; m > 2.5 minutes
    • D. 25m - 150 > 400; m > 22 minutes
  2. 2. Mama Atieno packs eggs in trays of 30. She needs more than 100 eggs, so she solves 30t > 100 and finds t > 3.33. How many trays must she use?

    • A. 3 trays
    • B. 4 trays
    • C. 3.33 trays
    • D. 5 trays
  3. 3. Baraka has 200 shillings. Exercise books cost 35 shillings each, and he wants to spend strictly less than 200 shillings on n books, so 35n < 200. What is the greatest number of books he can buy?

    • A. 6
    • B. 4
    • C. 5
    • D. 5.7
  4. 4. Achieng has 600 shillings. She pays 120 shillings for bus fare and buys oranges at 40 shillings each. Her total spending must be strictly less than 600 shillings. What is the greatest number of oranges she can buy?

    Type your answer (in oranges) in the lesson.

  5. 5. What is the term for explaining what the solution of an inequality means in a real-life situation?

    Type your answer in the lesson.

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