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Case study (4 Marks)

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6 questions · 2 auto-graded MCQ + 4 self-marked written.

Question 14 Marks
Sodium silicate is one of the constituents in liquid soap. The graph shows the amount of sodium silicate in liquid soap.
Image
$5.$ How much sodium silicate (ml) is used for making $10$ L of soap?
A. $100$
B. $110$
C. $1000$
D. $10000$
6. Write an equation to show the relation between quantities of sodium silicate and liquid soap.
Answer
5. C. $1000$
6. Use two variables such that one is ten times or one-tenth of the other.
$y=\frac{1}{10} $
$p=10\ q$
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Question 24 Marks
4. The soap bottles are available in small and large sizes.
A carton with $10$ small and 40 large bottles weighs $10.8 kg$. What is the mass of the carton with $50$ large bottles?
Answer
$4. 13.5$
$13.5 kg$
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MCQ 34 Marks
 A carton is checked randomly. Which of the following cannot be the number of fragrant and nonfragrant liquid bottles in the carton?
  • A
    $(5, 45)$
  • B
    $(15, 35)$
  • C
    $(20, 30)$
  • $(30, 40)$
Answer
Correct option: D.
$(30, 40)$
$ (30, 40)$
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Question 44 Marks
A carton contains both fragrant and non-fragrant liquid soap bottles.
Write an equation representing the number of fragrant and non$-$fragrant bottles in the carton.
Answer
$2.$ Uses two variable with sum $50$
$x+y = 50$
$ p+q = 50$
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MCQ 54 Marks
A soap manufacturer makes fragrant and non-fragrant liquid soaps. The liquid soaps are illed in plastic bottles and packed in equal size cartons for transportation. Each carton contains $50$ bottles. The mass of a full bottle of soap is $220\ gm$ and that of a half$-$illed bottle is $120\ gm.$ What will be the mass $(gm)$ of the empty bottle$?$
  • A
    $ 10$
  • $ 20$
  • C
    $ 100$
  • D
    $ 110$
Answer
Correct option: B.
$ 20$
$20$
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Question 64 Marks
Answer
1. Uses two variable with sum 50
● x+y = 50
● p+q = 50
2. D. (30, 40)
3. C. 1000
4. Use two variables such that one is ten times or one-tenth of the other.
$\begin{array}{l}y=\frac{1}{10} \\ p=10 q\end{array}$
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