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Class 7

Math riddles for class 7

CLASS 7 Riddles

  1. I have sides, but I’m not a square. I have three angles, but I’m not a cube. What am I?
  2. I’m a number that’s greater than ten, but less than thirty. I’m odd and a prime. The sum of my digits is eight. What number am I?
  3. What has one head, one foot, and four legs?
  4. What is full of holes but can still hold water?
  5. What is always coming, but never arrives?
  6. What has to be broken before you can use it?
  7. What is always in front of you but can’t be seen?
  8. What has one voice, but makes many sounds?
  9. What has cities, mountains, and water, but no houses, trees, or fish?
  10. What is lighter than a feather, but even the strongest person can’t hold it for five minutes?
  11. What has an eye, but cannot see?
  12. What has no beginning, end, or middle?
  13. I am a number that is divisible by both 3 and 4. I am less than 30. What number am I?
  14. I am a shape with four equal sides and four right angles. What am I?
  15. I am a number that is greater than 100 but less than 110. I am an odd number. The sum of my digits is 6. What number am I?
  16. If you have me, you want to share me. If you share me, you no longer have me. What am I?
  17. What has a neck without a head, a body without legs, and can hold the whole world?
  18. I am a number. If you multiply me by myself, I become 49. What number am I?
  19. What has no weight but can still be measured?
  20. You can keep me after giving me to someone else. What am I?

Sums for class 7

Class 7 SUMS

  1. Sarah ate 2/5 of a pizza, and John ate 1/3 of the remaining pizza. How much of the whole pizza did John eat?
  2. A car travels 120.5 km in 2.5 hours. What is its average speed in km/hour?
  3. A shopkeeper offers a 15% discount on a dress marked at $80. What is the selling price of the dress?
  4. The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many girls are there in the class?
  5. If 6 apples cost $3, how much will 10 apples cost?
  6. Find the simple interest on a sum of $5000 at 8% per annum for 3 years.
  7. A shopkeeper buys a toy for $50 and sells it for $60. Find the profit percentage.
  8. Solve for x: 3x + 5 = 14
  9. Solve for y: 2y – 7 = 9
  10. Find the area of a rectangle with length 12 cm and breadth 8 cm.
  11. Find the perimeter of a square with side 15 cm.
  12. Find the volume of a cube with side 6 cm.
  13. Find the circumference of a circle with radius 7 cm. (Take π = 22/7)
  14. Find the mean of the following data: 10, 12, 15, 18, 20
  15. Find the median of the following data: 5, 8, 10, 12, 15
  16. A train travels at a speed of 80 km/hour. How long will it take to travel 400 km?
  17. A man is 3 times as old as his son. After 15 years, the man will be twice as old as his son. Find their present ages.
  18. A sum of money is divided between two brothers in the ratio 2:3. If the elder brother gets $300, how much money was divided?
  19. A shopkeeper sells two articles at $100 each. On one, he gains 10%, and on the other, he loses 10%. Find his overall gain or loss percentage.
  20. A and B can complete a piece of work in 12 days. B and C can complete the same work in 15 days. A and C can complete the same work in 20 days. In how many days can A, B, and C together complete the work?
  21. Solve for x: 3(x + 5) – 2 = 16
  22. Simplify: (3/4 + 1/2) / (5/8 – 1/4)
  23. A shirt costs $25. It’s on sale for 15% off. What is the sale price?
  24. 40% of a number is 60. What is the number?
  25. The ratio of boys to girls in a class is 3:5. If there are 24 girls, how many boys are there?
  26. Find the area of a triangle with base 12cm and height 8cm.
  27. Find the circumference of a circle with radius 7cm. (Use π = 22/7)
  28. Evaluate: -5 + 8 – (-3) + 2
  29. Simplify: 2^3 * 2^2 / 2^4
  30. A train travels 360km in 4 hours. What is its average speed?
  31. John buys 3 notebooks for $2.50 each and 2 pens for $1.75 each. How much does he spend in total?
  32. Find the mean of the following data: 12, 15, 18, 20, 25
  33. Find the median of the following data: 8, 10, 12, 15, 18
  34. A bag contains 5 red balls and 3 blue balls. What is the probability of picking a red ball?
  35. How many hours are there in 3 days and 6 hours?
  36. Convert 3.5 meters to centimetres.
  37. A rectangle has a length of 8cm and a width of 5cm. If the length is doubled, what is the new area of the rectangle?
  38. A shopkeeper buys 20 apples for $1 each and sells them for $1.50 each. What is his profit?
  39. A car travels at a speed of 60km/h for 2 hours and then at a speed of 80km/h for 1 hour. What is the total distance travelled by the car?

 

Tentative syllabus of class 7 maths

Class 7 math syllabus

(Please get the actual syllabus from your school or the board you study under.)

Here’s a general overview of the key topics:

Key Areas of Focus:

Integers:

    • Properties and operations of integers (addition, subtraction, multiplication, and division).

Fractions and Decimals:

    • Operations on fractions and decimals.
    • Applications of fractions and decimals.

Data Handling:

    • Collection, organization, and interpretation of data.
    • Mean, median, and mode.
    • Bar graphs and probability.

Simple Equations:

    • Solving linear equations in one variable.
    • Applications of simple equations.

Lines and Angles:

    • Properties of lines and angles, including parallel lines and transversals.

The Triangle and Its Properties:

    • Properties of triangles, including angle sum property and Pythagoras theorem.

Congruence of Triangles:

    • Congruence of triangles and its criteria.

Comparing Quantities:

    • Percentages, ratios, and proportions.
    • Profit and loss, and simple interest.

Rational Numbers:

    • Introduction to rational numbers and their properties.
    • Operations on rational numbers.

Practical Geometry:

    • Construction of parallel lines and triangles.

Perimeter and Area:

    • Perimeter and area of various shapes, including circles.

Algebraic Expressions:

    • Introduction to algebraic expressions and their operations.

Exponents and Powers:

    • Laws of exponents.

Symmetry:

    • line symmetry and rotational symmetry.

Visualising Solid Shapes:

    • Visualising 3-D shapes.