CBSE Class 7 Mathematics Practice Worksheet Set 01

Question 1. Make a wind chime involving like fractions or equivalent fractions.
Answer: Follow these steps to build your fraction wind chime:
1. Materials needed: Thick cardboard, coloured paper, yarn or thread, a plastic ring or clothes hanger, scissors, and small metal bells.
2. Create the top hanger: Cut a large cardboard disc to act as the main canopy. Label it with your base fraction family, such as halves and quarters.
3. Cut out equivalent fraction discs: Cut circles of the same size from cardboard. Divide and shade them to display equivalent fractions:
- Strand 1: A disc cut into 2 parts with 1 part shaded, representing \( \frac{1}{2} \).
- Strand 2: A disc cut into 4 parts with 2 parts shaded, representing \( \frac{2}{4} \).
- Strand 3: A disc cut into 6 parts with 3 parts shaded, representing \( \frac{3}{6} \).
- Strand 4: A disc cut into 8 parts with 4 parts shaded, representing \( \frac{4}{8} \).
4. Assemble the wind chime: Thread the discs on strings of different lengths. Tie each string to the main hanger.
5. Add sound: Fasten a small bell to the bottom of each string so they ring when the wind blows.
In simple words: Hang colourful paper shapes on strings from a ring. Write fractions that have the exact same value on them.

Exam Tip: Shade each fraction circle neatly to demonstrate that equal values cover the exact same portion of the shape.

Question 2. Design a T- shirt with a mathematical design/ quotation and discuss about the different sizes available.
Answer: 1. T-Shirt Design and Quotation:
- Front Design: Draw a large, colourful circle with geometric compass patterns and tessellated triangles inside it.
- Quotation: Print a catchy math slogan across the chest, such as: "Without Geometry, Life is Pointless!" or "Be Rational - Think Math!"

2. Discussion on Available Sizes:
T-shirts are manufactured in standard sizes based on chest and body measurements. The standard size chart includes:
- Extra Small (XS): Chest size of 34 inches (86 cm), suited for younger teenagers.
- Small (S): Chest size of 36 inches (91 cm).
- Medium (M): Chest size of 38 inches (96 cm), a common size for growing youths.
- Large (L): Chest size of 40 inches (102 cm).
- Extra Large (XL): Chest size of 42 inches (107 cm).
- Double Extra Large (XXL): Chest size of 44 inches (112 cm).
In clothing production, sizes follow an arithmetic pattern by increasing the chest circumference by 2 inches for each step up.
In simple words: Draw a fun math slogan on a T-shirt. List standard shirt sizes with their chest numbers in inches.

Exam Tip: Mention the numerical measurements in inches or centimetres to highlight the mathematical application of measurement.

Question 3. Make 3-D things using different mathematical shapes with waste material like train, joker etc.
Answer: You can create 3-D figures using everyday recycled waste items:

Model 1: Toy Train
- Engine and Compartments (Cuboids): Use empty matchboxes or toothpaste boxes joined in a line.
- Boiler (Cylinder): Glue an empty cardboard toilet paper tube horizontally onto the front engine box.
- Chimney (Cone): Roll a small piece of scrap paper into a cone and glue it on top of the cylinder.
- Wheels (Flat Cylinders / Circles): Glue plastic bottle caps along the sides of each box.

Model 2: Joker (Clown) Figurine
- Face (Sphere): Use an old, discarded table tennis ball or a ball made of crushed paper wrapped in tape.
- Hat (Cone): Roll coloured scrap magazine paper into a cone shape and fix it on the head.
- Body (Cylinder): Use an empty soft drink can or cardboard cup.
- Arms and Legs (Prisms / Cylinders): Roll waste paper tightly into tubes and attach them to the body with glue.
In simple words: Use old boxes, tubes, and bottle caps from home to build a toy train or clown using real 3-D shapes.

Exam Tip: Clearly label each 3-D geometric shape (cube, cuboid, cylinder, cone, and sphere) on your project diagram.

Question 4. Write one innovative & meaningful poem related to math in daily life.
Answer: Numbers All Around Us

From the morning clock that rings out loud,
To the steps we count within a crowd.
Math is a guide in work and play,
Helping us through each passing day.

We count our coins to pay for bread,
We track the pages we have read.
Square tiles are laid across the floor,
We measure height behind the door.

Addition makes our savings grow,
Subtraction checks what we still owe.
With shapes and fractions everywhere,
Math brings order, balance, and care!
In simple words: Math helps us every day to count money, measure heights, tell the time, and solve problems.

Exam Tip: Use everyday mathematical concepts like time, currency, shapes, and basic operations to make your poem meaningful.

Question 5. Write any 5 math puzzles by taking help from newspaper or any magazine.
Answer: Here are five classic mathematical puzzles with their solutions:

1. The Eight Eights Puzzle:
- Puzzle: How can you add eight 8s together so that the total equals 1,000?
- Solution: \( 888 + 88 + 8 + 8 + 8 = 1000 \).

2. The Missing Sequence:
- Puzzle: Find the next number in this sequence: 2, 6, 12, 20, 30, ___?
- Solution: The pattern adds consecutive even numbers: \( +4, +6, +8, +10 \). The next addition is \( +12 \).
\( 30 + 12 = 42 \).

3. The Line of Ducks:
- Puzzle: There are two ducks in front of a duck, two ducks behind a duck, and one duck in the middle. What is the smallest number of ducks?
- Solution: There are 3 ducks swimming in a single file line.

4. The Age Reversal Riddle:
- Puzzle: A father and his daughter have ages that add up to 66. The father's age is the daughter's age reversed. How old are they?
- Solution: The father is 42 and the daughter is 24 (or 51 and 15, or 60 and 6).

5. The Rotational Number:
- Puzzle: Name a three-digit number that reads the exact same when turned upside down.
- Solution: 888 (or 101, 808).
In simple words: Math puzzles are fun number riddles that challenge you to find hidden patterns and logic.

Exam Tip: Always state both the question and the step-by-step reasoning that leads to the final solution.

Question 6. Do the assignment given from R.S. Aggarwal (reference book)
Answer: Follow this systematic procedure to complete your holiday assignment from R.S. Aggarwal:
1. Use a dedicated notebook: Complete all textbook exercises in a separate, clean mathematics practice notebook.
2. Focus on initial chapters: Practice foundational topics covered prior to the vacation, such as Integers, Fractions, and Decimals.
3. Write step-by-step working: For every problem, clearly write down:
- The exercise number and question number.
- The given values.
- The formula applied.
- The detailed calculation steps.
4. Create chapter summary boxes: Write important formulas and definitions at the beginning of each exercise for easy reference.
5. Verify your work: Check your final answers against the answer key at the back of the reference book, and re-solve any questions that had errors.
In simple words: Solve the assigned exercises neatly in a separate notebook, show every working step, and verify your answers.

Exam Tip: State the relevant formula before substituting numbers, and highlight your final answer in a box for neat presentation.