Math worksheet for class 6

 

Class 6 Math Worksheet

Section A: Subtraction of Integers

1. Solve the following:
   a. $15-7=\mathrm{\_}\mathrm{\_}\mathrm{\_}$
   b. $-8-(-3)=\mathrm{\_}\mathrm{\_}\mathrm{\_}$
   c. $12-(-5)=\mathrm{\_}\mathrm{\_}\mathrm{\_}$
   d. $-10-6=\mathrm{\_}\mathrm{\_}\mathrm{\_}$
   e. $0-(-11)=\mathrm{\_}\mathrm{\_}\mathrm{\_}$

2. Fill in the blanks:
   a. Subtracting a negative number is the same as ________.
   b. $-5-10=\mathrm{\_}\mathrm{\_}\mathrm{\_}$.
   c. If $x-(-y)=25$, and $y=15$, find x.

3. Word Problems:
   a. The temperature at midnight was $-3^{\circ }C$. By morning, it dropped by $5^{\circ }C$. What is the temperature now?
   b. A submarine is at a depth of 500 m below sea level. It dives further by 200 m. What is its final depth?

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Section B: Introduction to Algebra

1. Write the following statements using variables:
   a. A number increased by 5 is 12.
   b. Twice a number is equal to 20.
   c. Subtract 8 from a number to get 15.

2. Solve for $x$:
   a. $x+7=14$
   b. $2x=16$
   c. $x-5=-3$

3. Simplify:
   a. $3x+2x=\mathrm{\_}\mathrm{\_}\mathrm{\_}$
   b. $4y-2y+y=\mathrm{\_}\mathrm{\_}\mathrm{\_}$
   c. $5x+3-2x=\mathrm{\_}\mathrm{\_}\mathrm{\_}$

4. Match the equations with their solutions:
   a. $x+3=\mathrm{10 \; \; \; \; \; \; \; \; \; \; }$ i. $x=7$
   b. $3x=\mathrm{15 \; \; \; \; \; \; \; \; \; \; \; }$ ii. $x=5$
   c. $x-4=\mathrm{2 \; \; \; \; \; \; \; \; \; \; \; \; }$iii. $x=6$

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Section C: Ratios

1. Simplify the following ratios:
   a. $15:25$
   b. $40:100$
   c. $18:24$

2. Solve:
   a. Divide 60 in the ratio 3:2.
   b. A bag contains 15 red balls and 10 blue balls. What is the ratio of red balls to blue balls?

3. Word Problems:
   a. The ratio of apples to oranges in a basket is 5:3. If there are 40 apples, how many oranges are there?
   b. A car travels 120 km using 8 liters of fuel. What is the ratio of kilometers traveled to liters of fuel used?

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