Monday, January 23, 2023

Quiz : Cubes and Cube Roots

There are 10 questions in this quiz. Answer all the questions and comment how many you got correct with something about yourself.

  1. Which of the following numbers is a perfect cube?





  2. Which of the following number is not a perfect cube?





  3. What least number must be multiplied to 3456 so that the product becomes a perfect cube?





  4. What is the least number by which 13720 must be divided so that the quotient is a perfect cube?





  5. ∛5832





  6. Evaluate: ∛(-1728/2744)





  7. Cube root of the quotient of two negative integers is :





  8. The value of ∛(-a3) × ∛(-b3)





  9. ∛(-16/128) is equal to





  10. The value of ∛(5×25) is





Quiz : Squares and Square Roots

There are 10 questions in this quiz. Answer all the questions and comment how many you got correct with something about yourself.

  1. If the diagonal of a square is doubled, then area of the square becomes





  2. √(.05×.5×a) = .05×.05×√b then a/b = ?





  3. √2401 = √(7x), then the value of x is _______





  4. Find the value of a2 + 2(b2 + c2). if b=1, c=3 and a = 2 is _________





  5. The least square number exactly divisible by 8,12,15 and 20 is _____





  6. What is the least number by which if 180 is multiplied, then the product is a perfect square?





  7. What is the least number by which 9408 is divided, that the quotient is a perfect square?





  8. The value of √0.0625 is ______





  9. The value of √(324/13) × 52/72 is _________





  10. The value of √1.21 - √0.01 is equal to _______





Quiz : Data Handling

There are 10 questions in this quiz. Answer all the questions and comment how many you got correct with something about yourself.

  1. In the following data, the frequency of 40 is 40,44,40,34,46,32,44,46,30,42,48,38,44,36,40,34,42,32,44,40,44,48,52,37,32:





  2. The method of conveying numerical information by bars is called :





  3. The probability of getting a number less than 7 in a throw of a dice is :





  4. A ___________ shows the relationship between a whole and its part.





  5. One or more outcomes of experiment make :





  6. __________ gives the number of times that a particular entry occurs.





  7. A _______ experiment is one whose outcomes cannot be predicted exactly in advance.





  8. Information available to us in an unorganized form is called _______





  9. A man's monthly salary is ₹4800 and his monthly expenses on travel are ₹500. The central angle representing travel expenses in the pie chart would be :





  10. In the pie chart representing the number of students having interest in reading various kinds of books, the central angle of the sector representing student reading fiction is [40(1/2)]o. What is the percentage of students interested in reading fiction.





Sunday, January 22, 2023

Quiz : Practical Geometry

Quiz : Understanding Quadrilaterals

There are 10 questions in this quiz. Answer all the questions and comment how many you got correct with something about yourself.

  1. A figure is an equiangular parallelogram if and only if it is a :





  2. How many squares are there in a chess board?





  3. The diagonals of an isosceles trapezium are :

    (a)
    (b)
    (c)
    (d)
  4. A regular polygon is:

    (a)
    (b)
    (c)
    (d)
  5. How many diagonals does regular hexagon have?





  6. A polygon has 10 sides is called an :





  7. The sum of all exterior angles of a triangle is :





  8. The angle of a quadrilateral are in the ratio 1:2:3:4. The largest angle is





  9. In a parallelogram if each angle is equal, then it is called :





  10. Which one has all the properties os a parallelogram and also that of a kite ?





Quiz : Linear Equations in One Variable

There are 10 questions in this quiz. Answer all the questions and comment how many you got correct with something about yourself.

  1. Solve the following Equations : 2(x-3)+(1/3)(2x-5) = 3





  2. 1/(x-1) = 2/(x-2)





  3. If (2 + √x) = 3 then x is





  4. The value of x for which (2x-3)/(3x+2) = -2/3 is:





  5. Which of the following is linear equation?





  6. If x - 8 = 8, then x is equal to :





  7. 3(x-5)-5(x-2)=0, then the value of x is :





  8. If 3m/5 + 5m/4 = 29/40, then m is equal to:





  9. If 0.3x + 0.5 = 0.4x - 0.2, then x is equal to :





  10. A number when added to its half, gives 72. Then the number is





Quiz : Rational Numbers

There are 10 questions in this quiz. Answer all the questions and comment how many you got correct with something about yourself.

  1. The sum of the rational number (-5/16) and (7/12) is:





  2. Which number should be added to (7/12) to get (4/15)?





  3. Simplify : (2/3) + (-4/5) + (7/15) + (-11/20)





  4. What number should be subtracted from -3/5 to get -2?





  5. Which of the following rational numbers is in the standard form?





  6. The sum of two rational numbers is (-3). If one of the numbers is (-10/3), the other number is:





  7. Which of the following forms a pair of equivalent rational numbers?





  8. The value of (-9/16 × 8/15) is :





  9. The value of(-5/9 ÷ 2/3) is :





  10. The product of two numbers is -16/35 . If one of the number is -15/14, find the other :





Monday, January 9, 2023

Week 29-30 : Playing with Numbers

Playing with Numbers

What we will Study

  1. Introduction
  2. Letters for Digits (Cryptarithms)
  3. Test of Divisibility

Week 27-28 : Introduction To Graphs

Introduction to Graphs

What we will study

  1. Introduction
  2. Coordinate Axes
  3. Coordinates of a Point
  4. Quadrants
  5. Plotting Points for Different Situations
  6. Reading of Graphs

Week 25-26 : Direct and Inverse Variations

Direct and Inverse Variations

What we will study

  1. Introduction
  2. Variation
  3. Inverse Proportion or Inverse Variation

Week 23-24 : Exponents and Powers

Exponents and Powers

What we will study

  1. Introduction
  2. Positive Integral Exponents of a Rational Number
  3. Decimal Number System
  4. Laws of Integral Exponents
  5. Use of Exponents To Express Small Numbers in Standard Form

Week 21-22 : Mensuration

Mensuration

What we will study

  1. Introduction
  2. Area of Rectilinear Figure
  3. Standard Units of Area
  4. Larger Units of Area
  5. Volume
  6. Area of Trapezium
  7. Area of General Quadrilateral
  8. Area of Special Quadrilateral (Rhombus)
  9. Area of irregular Rectilinear Figures
  10. Surface Area
  11. Surface Area of a Cylinder
  12. Volume of a cuboid
  13. Volume of a cube
  14. Volume of a Cylinder
  15. Volume and Capacity

Week 19-20 : Visualising 3-D Shapes

Visualising 3-D Shapes

What we will study

  1. Introduction
  2. View of 3-D Shapes

Week 17-18 : Algebraic Expressions

Algebraic Expressions

What we will study

  1. Introduction
  2. Multiplication of Algebraic Expressions
  3. Multiplication of two monomials
  4. Multiplication of a Polynomial by a Monomial
  5. Multiplication of Two Binomials
  6. Some Special Products (Special Identities)
  7. Division of Algebraic Expressions

Week 15-16 : Comparing Quantities

Comparing Quantities

What we will study

  1. Introduction
  2. Proportion
  3. Another way of comparing quantities (Percentage)
  4. Finding the increase or decrease percent
  5. Discount
  6. Profit and Loss
  7. Sales Tax
  8. Compound Interest
  9. Simple Interest
  10. Formula for finding the Compound Interest
  11. Conversion Period (or Interest Period)
  12. Application of Compound Interest Formula

Sunday, January 8, 2023

Week 13-14 : Cubes and Cube Roots

Cubes and Cube Roots

What we will Study

  1. Introduction
  2. Perfect Cube
  3. Properties of Cubes of Numbers
  4. Cube Roots
  5. Cube Root of a Product and a Rational Number
quiz-cubes-and-cube-roots

Week 11-12 : Squares and Square Roots

Squares and Square Roots

What we will study

  1. Introduction
  2. Square of a number
  3. Properties of Perfect squares
  4. Square Roots
  5. Properties of Square Root
  6. Finding Square Root Through Repeated Subtraction
  7. Square Root of Rational Numbers in the form of fractions
  8. Square Roots of Numbers in Decimal Form
  9. Square Root of Fractions
  10. To find the approximate value of square roots by the method of Long Division
quiz-squares-and-square-roots

Week 09-10 : Data Handling

Data Handling

What we will Study

  1. Introduction
  2. Collection and Organisation of Data
  3. Frequency Distribution
  4. Grouping of Data
  5. Graphical Representation of Data
  6. Bar Graph or Column Graph
  7. How to Draw a Bar Graph?
  8. Double Bar Graph
  9. Histogram
  10. Interpretation of Histograms
  11. Circle Graph or Pie Chart
  12. Construction of a Pie Chart For a Givan Data
  13. Construction of a Pie Chart
  14. Reading of Pie Chart
  15. Chance and Probability
  16. Some Experiments and Their Outcomes
  17. Some terms Related to Probability
  18. Chance and Probability Related to real life
quiz-data-handling

Week 07-08 : Practical Geometry

Practical Geometry

What we will Study

  1. Introduction
  2. Construction of a Quadrilateral

Week 05-06 : Understanding Quadrilaterals

Understanding Quadrilaterals

What we will Study

  1. Introduction
  2. Polygons
  3. Classification of Polygons
  4. Types of Polygons
  5. Regular and Irregular Polygons
  6. Diagonal of a Polygon
  7. Angle Sum Property
  8. Quadrilateral
  9. Construction
  10. Sum of the Measures of the Exterior Angles
  11. Kinds of Quadrilaterals
  12. Elements of a Parallelogram
  13. Properties of a Parallelogram
  14. Properties of a Rhombus
  15. Properties of a Rectangle
  16. Properties of a Square
quiz-understanding-quadrilaterals

Week 03-04 : Linear Equations In One Variable

Linear Equations In One Variable

What we will Study

  1. Introduction
  2. Rules for solving a Linear Equation
  3. Practical Applications of Linear Equations
  4. Reducing Equations to Simplest Form
  5. Equations Reducible to the Linear Form
quiz-linear-equations-in-one-variable

Week 01-02 : Rational Numbers

Rational Numbers

What we will study

  1. Introduction
  2. Need for a new number system
  3. Rational Numbers
  4. Representation of rational Numbers on Number Line
  5. Camparision of Two Rational Numbers
  6. Three Properties of Rational Numbers
  7. Addition of Rational Numbers
  8. Properties of Addition of Rational Numbers
  9. Difference of two Rational Numbers
  10. Properties of Subtraction
  11. Multiplication of Rational Numbers
  12. Properties of Multiplication of Rational Numbers
  13. Division of Rational Numbers
  14. Properties of Division of Rational Numbers
  15. Rational Numbers Between two Rational Numbers
  16. Absolute Value of a Rational Number
  17. Properties of Absolute Value
quiz-rational-numbers

Quiz : Cubes and Cube Roots

There are 10 questions in this quiz. Answer all the questions and comment how many you got correct with something about yourself. Which...