September 1, 2026
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JPSilwania
August 29, 2026
CBSE Previous Year Questions: Pair of Linear Equations in Two Variables
Previous Year Questions 2026 (Basic) Q1. Assertion (A) : The value of p for which the system of equations 4x+py+8=0 and 2x+2y+2=0 is consistent is 4. [1 Mark]Reason (R) : The system of equations a1x+b1y=c1 and a2x+b2y=c2 is consistent with infinitely many solutions, if a1a2=b1b2=c1c2.(A) Both true, R is correct explanation(B) Both true, R is not the correct explanation (C) A is true, R […]August 29, 2026
CBSE Previous Year Questions: Polynomials
Previous Year Questions 2026 (Basic) Q1. Find a quadratic polynomial whose sum and product of zeroes are 0 and -9, respectively. Also, find the zeroes of the polynomial so obtained. [3 Marks] Q2. The graph of a quadratic polynomial is shown in the figure. The sum and product of zeroes of the polynomial respectively […]August 29, 2026
CBSE Previous Year Questions: Real Numbers
Previous Year Questions 2026(Basic) Q1. If the HCF of two positive integers a and b is 1, then their LCM is : [1 Mark](A) a + b(B) a (C) b(D) ab Q2. The number 3+2 is : [1 Mark](A) a rational number(B) an irrational number (C) an integer (D) a natural number Q3. Assertion (A) : For any two natural numbers a […]August 18, 2026
Chapter Notes: Measuring Space: Perimeter and Area
1. Perimeter of a Shape Definition: The perimeter of any shape is the total length of its boundary – the distance traced by going all the way around it and returning to the starting point. Standard perimeter formulas: Shape Formula Square (side a) 4a Equilateral triangle (side a) 3a Rectangle (length a, width b) 2(a+b) Key Observation: For any class of similar shapes, […]August 8, 2026
Worksheet: The World of Numbers – 2
Q1: Which of the following fractions has a terminating decimal expansion? (a) 512 (b) 730 (c) 1140 (d) 421 Q2: The first step of the proof that 2 is irrational (by contradiction) assumes that 2 is rational. This means we write 2=pq where p,q are integers and q≠0. What additional assumption is made about pq? (a) p and q are both even (b) pq is in standard form, i.e., gcd(p,q)=1 (c) p>q>0 (d) q is a power of 2 Q3: Āryabhaṭa (5th century CE) gave the approximation 6283220000 for π. […]August 8, 2026
Worksheet : The World of Numbers – 1
Q1: The Lebombo Bone and the Ishango Bone are significant in the history of mathematics because they provide evidence of: (a) The first use of zero in ancient Africa (b) Early human use of tally marks to count – one of the earliest records of natural numbers (c) The discovery of irrational numbers in prehistoric times (d) The invention […]August 2, 2026
Chapter Notes: Real Numbers
Real Numbers Real numbers are all the numbers that can be found on the number line. This includes both rational numbers (like 7, -3, 0.5, and 4/3) and irrational numbers (like √2) . They encompass integers, fractions, and decimals, representing a continuous, unbroken set of values. Rational numbers such as integers (-2, 0, 1), fractions (1/2, 2.5) and irrational numbers […]July 26, 2026
Chapter Notes: I’m Up and Down, and Round and Round
1. Introduction & Definitions Humanity has long observed circular shapes in nature – raindrops forming ripples, cross-sections of plant stems, sunflowers, the moon, and the sun. These observations led to the mathematical study of circles. 2. Symmetries of a Circle Rotational Symmetry: A circle has complete rotational symmetry: rotating it by any angle about its centre leaves […]July 26, 2026