Archives

Use the sign of >, < or = in the box to make the statements true: (-8) + (-4) [ ] (-8) - (-4)

(-8) + (-4) [ ] (-8) – (-4) Solution:- Cinsidering Left Hand Side (LHS) we get = (-8) + (-4) = -8 – 4 = -12 From Right Hand Side... View Article

Verify a – (- b) = a + b for the following values of a and b. (i) a = 21, b = 18 (ii) a = 118, b = 125 (iii) a = 75, b = 84 (iv) a = 28, b = 11

We have to verify a – (– b) = a + b for all the given set of integers (i) a = 21, b = 18 Solution:- From the given data a = 21... View Article

In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square

Solution From the given details we get to know that In square (i), each row and column add up to give 0. On adding the numbers in each rows... View Article

Rita goes 20 km towards east from a point A to the point B. From B, she moves 30 km towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A?

Solution From the given details we get to know that The distance towards the east is denoted by a positive integer The distance travelled... View Article

Mohan deposits ₹ 2,000 in his bank account and withdraws ₹ 1,642 from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Mohan’s account after the withdrawal.

Solution From the given details we get to know that Amount deposited = Rs 2000 The amount is withdrawn = −Rs 1642 (the amount withdrawn... View Article

A plane is flying at the height of 5000 m above the sea level. At a particular point, it is exactly above a submarine floating 1200 m below the sea level. What is the vertical distance between them?

Solution From the given details we get to know that The plane is flying at the height = 5000 m Depth of Submarine = -1200 m Distance... View Article

At Srinagar temperature was – 5°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4°C. What was the temperature on this day?

Solution From the given details we get to know that the temperature in Srinagar is as follows The temperature on Monday = −5°C... View Article

In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Jack’s scores in five successive rounds were 25, – 5, – 10, 15 and 10, what was his total at the end?

Solution From the given details we get to know that Jack’s scores in five successive rounds are 25, −5, −10, 15, and 10. The... View Article

Following number line shows the temperature in degree celsius (co) at different places on a particular day. (a) Observe this number line and write the temperature of the places marked on it. (b) What is the temperature difference between the hottest and the coldest places among the above? (c) What is the temperature difference between Lahulspiti and Srinagar? (d) Can we say temperature of Srinagar and Shimla taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?

Solution (a) From the given data and observing the number line the temperatures of the cities are as follows: Cities Temperature... View Article

You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768.

(i) 1331 We note that, the unit digit of cube is 1, the unit digit of cube root 1. Hence we get 1 as unit digit of cube root of 1331. Also the... View Article

Archives

Use the sign of >, < or = in the box to make the statements true: (-8) + (-4) [ ] (-8) - (-4)

Verify a – (- b) = a + b for the following values of a and b. (i) a = 21, b = 18 (ii) a = 118, b = 125 (iii) a = 75, b = 84 (iv) a = 28, b = 11

In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square

Mohan deposits ₹ 2,000 in his bank account and withdraws ₹ 1,642 from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Mohan’s account after the withdrawal.

A plane is flying at the height of 5000 m above the sea level. At a particular point, it is exactly above a submarine floating 1200 m below the sea level. What is the vertical distance between them?

At Srinagar temperature was – 5°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4°C. What was the temperature on this day?

In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Jack’s scores in five successive rounds were 25, – 5, – 10, 15 and 10, what was his total at the end?

You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768.

The cube of a single digit number may be a single digit number. (True or False)

The cube of a two digit number may have seven or more digits. (True or False)

The cube of a two digit number may be a three digit number. (True or False)

There is no perfect cube which ends with 8. (True or False)

If square of a number ends with 5, then its cube ends with 25. (True or False)

Cube of any odd number is even. (True or False)

Find the cube root of 175616 by prime factorisation method.

Find the cube root of 46656 by prime factorisation method.

Find the cube root of 110592 by prime factorisation method.

Find the cube root of 13824 by prime factorisation method.

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