Write an algebraic expression for the number of tiles in Step n. Share your methods with the class. Class 8
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Use this formula to find the number of circles in Step 15. Class 8
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Find 406², 72², 145², 1097², and 124² using the identities you have learnt so far. Class 8
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Use Identity 1C to calculate 98 × 102, and 45 × 55. Class 8
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Expand the following using both Identity 1B and by applying the distributive property (i) (b - 6)² (ii)(-2a + 3)² Class 8
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Find the general expansion of (a - b)² using geometry, as we did for 55². Class 8
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Use Identity 1A to write the expressions for the following. (i) (m + 3)² (ii) (6 + p)² Class 8
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If a and b are any two integers, is (a + b)² always greater than a² + b²? If not, when is it greater? Class 8
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What could be a general rule to multiply a number by 101 and write the product in one line? Extend Class 8
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Describe a general rule to multiply a number (of any number of digits) by 11 and write the product in one line. Evaluate Class 8
Describe a general rule to multiply a number (of any number of digits) by 11 and write the product i
Expand (i) (a - b) (a + b), (ii) (a - b) (a² + ab + b²) and (iii) (a - b)(a³ + a²b + ab² + b³), Do you see a pattern? Class 8
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Find 3 examples where the product of two numbers remains unchanged when one of them is increased Class 8
Find 3 examples where the product of two numbers remains unchanged when one of them is increased Cla
Expand the following products. (i) (3 + u) (v - 3) (ii) 2/3(15 + 6a) (iii) (10a + b) (10c + d) Class 8
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Observe the multiplication grid below. Each number inside the grid is formed by multiplying two numbers. Class 8
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Will the product always increase? Find 3 examples where the product decreases. Class 8
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Number Play Class 8 Long Question Answer
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Solve the cryptarithms — (i) EF × E = GGG (ii) WOW × 5 = OEOW Class 8
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Choose any 3 numbers. When is their sum divisible by 3? Explore all possible cases and generalise. Class 8
Choose any 3 numbers. When is their sum divisible by 3? Explore all possible cases and generalise. C
Determine whether the statements below are ‘Always True’, ‘Sometimes True’, or ‘Never True’. Explain your reasoning. Class 8
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The middle number in the sequence of 5 consecutive even numbers is 5p. Express the other Class 8
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Find three consecutive numbers such that the first number is a multiple of 2, the second number Class 8
Find three consecutive numbers such that the first number is a multiple of 2, the second number Clas
If 3p7q8 is divisible by 44, list all possible pairs of values for p and q. Class 8
If 3p7q8 is divisible by 44, list all possible pairs of values for p and q. Class 8Question 1. If 3p
If 48a236 is a multiple of 18, list all possible pairs of values for a and 6. Class 8
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When is the sum of two multiples of 3, a multiple of 6 and when is it not? Explain the different Class 8
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If 31z5 is a multiple of 9, where z is a digit, what is the value of 2? Explain why there are two answers to this problem. Class 8
If 31z5 is a multiple of 9, where z is a digit, what is the value of 2? Explain why there are two an
Solve the following: (i) UT × 3 = PUT (ii) AB × 5 = BC (iii) L2N × 2 = 2NP (iv) XY × 4 = ZX Class 8
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Solve the cryptarithms given below. Let us now try solving some cryptarithms Class 8
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Make conjectures by examining if there are any patterns or relations between the parity of a number Class 8
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Write any number. Generate a sequence of numbers by repeatedly adding 11, What would be the digital roots Class 8
Write any number. Generate a sequence of numbers by repeatedly adding 11, What would be the digital
I'm made of digits, each tiniest and odd, No shared ground with root #1 — how odd! Class 8
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What are the digital roots of numbers that are 1 more than a multiple of 6? What do you notice? Try to explain the patterns noticed. Class 8
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Now, find the digital roots of some consecutive multiples of (i) 3, (ii) 4, and (iii) 6. Class 8
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Between the numbers 600 and 700, which numbers have the digital root : (i) 5 (ii) 7 (iii) 3 Class 8
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Will checking its divisibility by its factors 2 and 3 work? Use the shortcuts for 2 and 3 on these numbers Class 8
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Fill in the following table. Find a quick way to do this? Class 8
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Using this shortcut, find out whether the following numbers are divisible by 11. Further, find the remainder Class 8
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Explore the remainders when powers of 10 are divided by 3. Explain why this method works. Class 8
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Find the multiple of 9 that is closest to the number 6000. Class 8
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Find, without dividing, whether the following numbers are divisible by 9. Class 8
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Find a number that leaves a remainder of 2 when divided by 3, a remainder of 3 when divided by 4 Class 8
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When divided by 7, the number 661 leaves a remainder of 3, and 4779 leaves a remainder of 5. Without calculating Class 8
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“I hold some pebbles, not too many, When I group them in 3’s, one stays with me. Class 8
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Find a few numbers that leave a remainder of 2 when divided by 3 and a remainder of 2 when divided by 4. Class 8
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For each statement below, determine whether it is always true, sometimes true, or never true. Explain your answer. Class 8
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