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Grade 6 Mathematics: Integers, Playing with Numbers, and Fractions

Worksheet
Class 6
English

Grade 6 Mathematics: Integers, Playing with Numbers, and Fractions

Mixed Bag Mathematics Worksheet

Topic: Integers, Playing with Numbers, Fractions & Decimals


Section A: Multiple Choice Questions (MCQ)

Instructions: Choose the correct option for each question.
  1. What is the value of the expression
    
    ? A)
    
    B)
    
    C)
    
    D)
    
​​​​​​​​​​
  1. The decimal representation of the fraction
    
    is: A)
    
    B)
    
    C)
    
    D)
    
​​​​​​​​​​
  1. Which of the following is the smallest prime number? A) 1 B) 2 C) 3 D) 0
​​​​​​​​​​
  1. Calculate the value of
    
    : A)
    
    B)
    
    C)
    
    D)
    
​​​​​​​​​​
  1. Which of the following numbers is divisible by 9? A) 123 B) 456 /C) 789 D) 729
​​​​​​​​​​


Section B: Match the Following & Do as Directed

Activity 1: Match Column A with the correct result in Column B.
Column A
  1. Reciprocal of
    
  1. Additive inverse of
    
  1. HCF of 8 and 12
  1. Sum of
    
Column B (a) 4 (b)

(c)

(d) 10
Answers:
  1. ​​​​​ 2. ​​​​​ 3. ​​​​​ 4. ​​​​​
Activity 2: Do as Directed
  1. Arrange the following integers in ascending order:
    
    .
​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​
  1. Find the LCM of 12 and 15 using the prime factorization method.



Section C: HOTS & Competency-Based Questions

Instructions: Solve the following problems. Show all steps clearly.
  1. Critical Thinking: Compare the integers
    
    and
    
    . Which one is greater? Justify your answer by describing their positions on a horizontal number line.

  1. Problem Solving: A juice container holds
    
    liters of mango juice. If Radha drinks
    
    liters of juice, how many liters are left in the container? (Express your answer in decimals).

  1. Real-World Application: Three bells toll at intervals of 12, 18, and 24 minutes respectively. If they start tolling together at 8:00 AM, at what time will they next toll together?