Model question paper for PT 3 class 6

 Total Marks: 40

Time: 1 Hour
Instructions:

• Answer all questions.
• Show your workings for full marks.

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Section A: (2 Marks Each - 9 Questions, Total: 18 Marks)

1. Simplify: $12-(-7)+(-5)$.                                       
2. Find the missing number in the ratio:  3:x :: 9:15.
3. If 3/4x-3 $=12$, find the value of  x.(Doing and Undoing)
4. (i)Identify the coefficient of xy in the expression 4y-7xy+5                                    (ii)Find the number of terms in the expression $6x-4y+3z-5$
   
5. Find the value of $3a-2b$ when $a=5$ and $b=3.$
6. A class has 18 boys and 12 girls. Find the ratio of boys to total students and girls to total students.
7. Classify the expressions as monomial, binomial, or trinomial:
   • (a) 3xz+ 4zy- 2xz +8
   • (b) -7abc$\mathrm{<br>}$
   • (c) $7m - 2n + 6$
     
8. Compare the ratios and determine which is greater: $3:5$ or $4:7$.
9. (i) Write an algebraic expression for: "A number $y$ is multiplied by 5 and then 3 is added."                                                                                                                                       (ii) 
                                      Write the general rule that gives the number of matchsticks needed for the n th pattern.

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Section B: (3 Marks Each - 4 Questions, Total: 12 Marks)

10. A submarine is currently at a depth of 350 meters below sea level. It then ascends 125 meters, then descends 200 meters. What is the submarine’s final depth?                 
11. A bag contains red, blue, and green marbles in the ratio 5:3:2. If there are 100 marbles in total, how many red, blue, and green marbles are there?                                
12. Solve for $\mathrm{x }$in the equation: 3y/4 +2=5.                                                                                                                  
13. Construct special angles 90° using compass and ruler.

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