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Question 15 Marks
Simplify the following: $4+\frac{1}{5}\Big[\big\{-10\times(25-\overline{13-3})\big\}\div(-5)\Big]$
Answer
$4+\frac{1}{5}\Big[\big\{-10\times(25-\overline{13-3})\big\}\div(-5)\Big]$
$=4+\frac{1}{5}\big[\{-10\times(25-10)\}\div(-5)\big]$
$=4+\frac{1}{5}\big[\{-10\times(15)\}\div(-5)\big]$
$=4+\frac{1}{5}\big[(-150)\div(-5)\big]$
$=4+\frac{1}{5}\big[30\big]$
$=4+6$
$=10$
$\therefore\ 4+\frac{1}{5}\Big[\big\{-10\times(25-\overline{13-3})\big\}\div(-5)\Big]=10$
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Question 25 Marks
Complete the following multiplication table:
Second number
First number
$x$
$-4$
$-3$
$-2$
$-1$
$0$
$1$
$2$
$3$
$4$
$-4$
 
 
 
 
 
 
 
 
 
$-3$
 
 
 
 
 
 
 
 
 
$-2$
 
 
 
 
 
 
 
 
 
$-1$
 
 
 
 
 
 
 
 
 
$0$
 
 
 
 
 
 
 
 
 
$1$
 
 
 
 
 
 
 
 
 
$2$
 
 
 
 
 
 
 
 
 
$3$
 
 
 
 
 
 
 
 
 
$4$
 
 
 
 
 
 
 
 
 
ls the multiplication table symmetrical about the diagonal joining the upper left corner to the lower right corner?
Answer
Second number
First number
$x$
$-4$
$-3$
$-2$
$-1$
$0$
$1$
$2$
$3$
$4$
$-4$
$16$
$12$
$8$
$4$
$0$
$-4$
$-8$
$-12$
$-16$
$-3$
$12$
$9$
$6$
$3$
$0$
$-3$
$-6$
$-9$
$-12$
$-2$
$8$
$6$
$4$
$2$
$0$
$-2$
$-4$
$-6$
$-8$
$-1$
$4$
$3$
$2$
$1$
$0$
$-1$
$-2$
$-3$
$-4$
$0$
$0$
$0$
$0$
$0$
$0$
$0$
$0$
$0$
$0$
$1$
$-4$
$-3$
$-2$
$-1$
$0$
$1$
$2$
$3$
$4$
$2$
$-8$
$-6$
$-4$
$-2$
$0$
$2$
$4$
$6$
$8$
$3$
$-12$
$-9$
$-6$
$-3$
$0$
$3$
$6$
$9$
$12$
$4$
$-16$
$-12$
$-8$
$-4$
$0$
$4$
$8$
$12$
$16$
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Question 45 Marks
A milk man earns a profit of $₹ 25$ on every litre of milk he sells and loses $₹ 30$ on every litre that is not sold. If one a particular day he sells 20 litres of milk and is left with 5 litres of milk unsold, then determine his profit or loss.
Answer
$₹ 350$
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Question 55 Marks
A unit test paper contains 20 questions. If 5 marks are awarded for every correct answer, 2 marks are deducted for every wrong answer and 1 mark is deducted for every unanswered question. If Romit got 12 correct answers, 5 wrong answers and left 3 questions unanswered. What is his score?
Answer
47
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