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1. Evaluate:
- (i) \((1.2)^2\)
- (ii) \((0.7)^2\)
- (iii) \((0.04)^2\)

2. Evaluate:
- (i) \((0.3)^3\)
- (ii) \((0.05)^3\)
- (iii) \((1.5)^3\)

3. A bus can cover 62.5 km in one hour. How much distance can it cover in 18 hours?

4. A tin of oil weighs 16.8 kg. What is the weight of 45 such tins?

5. A bag of wheat weighs 97.8 kg. How much wheat is contained in 500 such bags?

6. Find the weight of 16 bags of sugar, each weighing 48.450 kg.

7. A small bottle holds 0.845 kg of sauce. How much sauce will be there in 72 such bottles?

8. A bottle holds 925 g of jam. How many kg of jam will be there in 25 such bottles?

9. If one drum can hold 16.850 litres of oil, how many litres can 48 such drums hold?

10. 1 kg of rice costs ₹56.80. What is the cost of 16.25 kg of rice?

11. 1 metre of cloth costs ₹108.50. What is the cost of 18.5 metres of this cloth?

12. A car can cover a distance of 8.6 km on one litre of petrol. How far can it go on 36.5 litres of petrol?

13. A taxi driver charges ₹9.80 per km. How much will he charge for a journey of 106.5 km?

Answer :

Let's work through each part of the question step by step.

  1. Evaluate:

    i. [tex](1.2)^2[/tex]

    To square the number 1.2:

    [tex]1.2 \times 1.2 = 1.44[/tex]

    ii. [tex](0.7)^2[/tex]

    To square the number 0.7:

    [tex]0.7 \times 0.7 = 0.49[/tex]

    iii. [tex](0.04)^2[/tex]

    To square the number 0.04:

    [tex]0.04 \times 0.04 = 0.0016[/tex]

  2. Evaluate:

    i. [tex](0.3)^3[/tex]

    To cube the number 0.3:

    [tex]0.3 \times 0.3 \times 0.3 = 0.027[/tex]

    ii. [tex](0.05)^3[/tex]

    To cube the number 0.05:

    [tex]0.05 \times 0.05 \times 0.05 = 0.000125[/tex]

    iii. [tex](1.5)^3[/tex]

    To cube the number 1.5:

    [tex]1.5 \times 1.5 \times 1.5 = 3.375[/tex]

  3. Distance by bus:

    A bus covers 62.5 km in 1 hour. In 18 hours, it will cover:

    [tex]62.5 \times 18 = 1125[/tex] km

  4. Weight of tins:

    One tin of oil weighs 16.8 kg. For 45 tins, the total weight is:

    [tex]16.8 \times 45 = 756[/tex] kg

  5. Weight of wheat bags:

    One bag of wheat weighs 97.8 kg. For 500 bags, the total weight is:

    [tex]97.8 \times 500 = 48900[/tex] kg

  6. Weight of sugar bags:

    One bag of sugar weighs 48.450 kg. For 16 bags, the total weight is:

    [tex]48.450 \times 16 = 775.2[/tex] kg

  7. Sauce in bottles:

    One bottle holds 0.845 kg of sauce. For 72 bottles:

    [tex]0.845 \times 72 = 60.84[/tex] kg

  8. Jam in bottles:

    One bottle holds 925 g of jam. To convert grams to kilograms, divide by 1000.

    [tex]925 \text{ g} = 0.925 \text{ kg}[/tex]

    For 25 bottles:

    [tex]0.925 \times 25 = 23.125[/tex] kg

  9. Oil in drums:

    One drum holds 16.850 litres of oil. For 48 drums:

    [tex]16.850 \times 48 = 808.8[/tex] litres

  10. Cost of rice:

    1 kg of rice costs ₹ 56.80. For 16.25 kg:

    [tex]56.80 \times 16.25 = ₹ 922[/tex]

  11. Cost of cloth:

    1 metre of cloth costs ₹ 108.50. For 18.5 metres:

    [tex]108.50 \times 18.5 = ₹ 2007.25[/tex]

  12. Distance on petrol:

    A car can cover 8.6 km on 1 litre of petrol. On 36.5 litres:

    [tex]8.6 \times 36.5 = 313.9[/tex] km

  13. Taxi charges:

    The charge is ₹ 9.80 per km. For a journey of 106.5 km:

    [tex]9.80 \times 106.5 = ₹ 1043.70[/tex]

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Rewritten by : Jeany

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