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Who am I?

(i) Go round a square

Counting every corner

Thrice and no more!

Add the count to me

To get exactly thirty four!

(ii) For each day of the week

Make an upcount from me

If you make no mistake

You will get twenty three!

(iii) I am a special number

Take away from me a six!

A whole cricket team

You will still be able to fix!

(iv) Tell me who I am

I shall give a pretty clue!

You will get me back

If you take me out of twenty two!

Answer :

(i) According to the condition,

I + 12 = 34 or x + 12 = 34

\(\therefore \) By inspection, we have

22 + 12 = 34

So, I am 22.

(ii) Let I am ‘x’.

We know that there are 7 days in a week.

\(\therefore \) upcounting from x for 7, the sum = 23

By inspections, we have

16 + 7 = 23

\(\therefore \) x = 16

Thus I am 16.

(iii) Let the special number be x and there are 11 players in cricket team.

\(\therefore \)Special Number -6 = 11

\(\therefore \) x – 6 = 11

By inspection, we get

17 – 6 = 11

\(\therefore \)x = 17

Thus I am 17.

(iv) Suppose I am ‘x’.

\(\therefore \) 22 – I = I

or 22 – x = x

By inspection, we have

22 – 11 = 11

\(\therefore \)x = 11

Thus I am 11.

- Q.1 State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable. (a) 17 = x + 17 (b) (t – 7) > 5 (c) \(\frac{4}{2} \) = 2 (d) (7 × 3) – 19 = 8 (e) 5 × 4 – 8 = 2x (f) x – 2 = 0 (g) 2m < 30 (h) 2n + 1 = 11 (i) 7 = (11 × 5) – (12 × 4) (j) 7 = (11 × 2) + p (k) 20 = 5y (l) \(\frac{2q}{2} \)< 5 (m) z + 12 > 24 (n) 20 – (10 – 5) = 3 × 5 (o) 7 – x = 5
- Q.2 Complete the entries in the third column of the table.
- Q.3 Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation. (a) 5m = 60 (10, 5, 12, 15) (b) n + 12 (12, 8, 20, 0) (c) p – 5 = 5 (0, 10, 5 ,– 5) (d) \(\frac{q}{2} \) = 7 (7, 2, 10, 14) (e) r – 4 = 0 (4, -4, 8, 0) (f) x + 4 = 2 (-2, 0, 2, 4)
- Q.4 (a)Complete the table and by inspection of the table find the solution to the equation m + 10 = 16. (b) Complete the table and by inspection of the table, find the solution to the equation 5t = 35 (c) Complete the table and find the solution of the equation z / 3 = 4 using the table. (d) Complete the table and find the solution to the equation m – 7 = 3.

- NCERT solutions for class 6 maths chapter 1 Knowing Our Numbers
- NCERT solutions for class 6 maths chapter 2 Whole Numbers
- NCERT solutions for class 6 maths chapter 3 Playing with Numbers
- NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas
- NCERT solutions for class 6 maths chapter 5 Understanding Elementary Shapes
- NCERT solutions for class 6 maths chapter 6 Integers
- NCERT solutions for class 6 maths chapter 7 Fractions
- NCERT solutions for class 6 maths chapter 8 Decimals
- NCERT solutions for class 6 maths chapter 9 Data Handling
- NCERT solutions for class 6 maths chapter 10 Mensuration
- NCERT solutions for class 6 maths chapter 11 Algebra
- NCERT solutions for class 6 maths chapter 12 Ratio and Proportion
- NCERT solutions for class 6 maths chapter 13 Symmetry
- NCERT solutions for class 6 maths chapter 14 Practical Geometry

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- NCERT solutions for class 6 science chapter 2 Components of Food
- NCERT solutions for class 6 science chapter 3 Fibre to Fabric
- NCERT solutions for class 6 science chapter 4 Sorting Materials into Groups
- NCERT solutions for class 6 science chapter 5 Separation of Substances
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- NCERT solutions for class 6 science chapter 8 Body Movements
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- NCERT solutions for class 6 science chapter 10 Motion and Measurement of Distances
- NCERT solutions for class 6 science chapter 11 Light, Shadows and Reflections
- NCERT solutions for class 6 science chapter 12 Electricity and Circuits
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- NCERT solutions for class 6 science chapter 15 Air Around us