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Write in kilograms and grams: 3380g, 7423g, 5.76kg, 12.53kg, 5.76kg. The lightness or heaviness of somebody or thing is and the (3).

Mathematics

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WEEK FOUR: VERBAL REASONING (IDIOMS)

  1. To hold in camera: To hold a meeting or trial in private, not open to the public.
  2. To lead to the altar: To get married.
  3. His better half: His wife.
  4. To put one's eggs in one basket: To risk everything on a single venture or plan.
  5. To be a bad egg: To be a person who is dishonest or unreliable.
  6. To take the bull by the horns: To confront a difficult situation directly and courageously.
  7. To be chicken-hearted: To be easily frightened; cowardly.

WEEK FOUR: MATHEMATICS

TOPIC: WEIGHT (CONVERSION OF THE UNIT OF WEIGHT INVOLVING WEIGHT/AVERAGE SPEED)

  1. The lightness or heaviness of somebody or thing is weight.
  2. Units of weight are the gram and the (3) kilogram.
  3. kilogram

Write in kilograms and grams

  1. 12.53kg12.53 \text{kg}
  1. Separate the whole number and decimal part.

    $$
    12.53 \text{ kg} = 12 \text{ kg} + 0.53 \text{ kg}
    $$
    
  2. Convert the decimal part to grams (1 kg=1000 g1 \text{ kg} = 1000 \text{ g}).

    $$
    0.53 \text{ kg} = 0.53 \times 1000 \text{ g} = 530 \text{ g}
    $$
    
  3. Combine the kilograms and grams.

    $$
    \boxed{\text{12 kg 530 g}}
    $$
    

    5. 5.76kg5.76 \text{kg}

  4. Separate the whole number and decimal part.

    $$
    5.76 \text{ kg} = 5 \text{ kg} + 0.76 \text{ kg}
    $$
    
  5. Convert the decimal part to grams.

    $$
    0.76 \text{ kg} = 0.76 \times 1000 \text{ g} = 760 \text{ g}
    $$
    
  6. Combine the kilograms and grams.

    $$
    \boxed{\text{5 kg 760 g}}
    $$
    

    6. 3380g3380 \text{g}

  7. Separate the thousands from the hundreds/tens/units.

    $$
    3380 \text{ g} = 3000 \text{ g} + 380 \text{ g}
    $$
    
  8. Convert grams to kilograms (1000 g=1 kg1000 \text{ g} = 1 \text{ kg}).

    $$
    3000 \text{ g} = 3 \text{ kg}
    $$
    
  9. Combine the kilograms and grams.

    $$
    \boxed{\text{3 kg 380 g}}
    $$
    

    7. 7423g7423 \text{g}

  10. Separate the thousands from the hundreds/tens/units.

    $$
    7423 \text{ g} = 7000 \text{ g} + 423 \text{ g}
    $$
    
  11. Convert grams to kilograms.

    $$
    7000 \text{ g} = 7 \text{ kg}
    $$
    
  12. Combine the kilograms and grams.

    $$
    \boxed{\text{7 kg 423 g}}
    $$
    

    Word Problems

    1. A man bought 200 bags of beans, each weighing 50kg. He sold 5000kg of the beans. His children were given 5 bags. How much rice did he have left? (Assuming "rice" is a typo and should be "beans").
  13. Calculate the total weight of beans bought.

    $$
    \text{Total beans bought} = 200 \text{ bags} \times 50 \text{ kg/bag} = 10000 \text{ kg}
    $$
    
  14. Calculate the weight of beans given to children.

    $$
    \text{Beans for children} = 5 \text{ bags} \times 50 \text{ kg/bag} = 250 \text{ kg}
    $$
    
  15. Calculate the total weight of beans used (sold + given away).

    $$
    \text{Total beans used} = 5000 \text{ kg} + 250 \text{ kg} = 5250 \text{ kg}
    $$
    
  16. Calculate the remaining beans.

    $$
    \text{Beans left} = 10000 \text{ kg} - 5250 \text{ kg} = 4750 \text{ kg}
    $$
    $$
    \boxed{\text{4750 kg}}
    $$
    

    9. If Mr. James travels a distance of 28km in 4 hours on his bicycle. Find his average speed in kilometer per hour.

  17. Recall the formula for average speed.

    $$
    \text{Average Speed} = \frac{\text{Distance}}{\text{Time}}
    $$
    
  18. Substitute the given values.

    $$
    \text{Average Speed} = \frac{28 \text{ km}}{4 \text{ hours}}
    $$
    
  19. Calculate the speed.

    $$
    \text{Average Speed} = 7 \text{ km/h}
    $$
    $$
    \boxed{\text{7 km/h}}
    $$
    

    10. A tricycle travelled 270km in a time of 3 hours. Find the average speed.

  20. Recall the formula for average speed.

    $$
    \text{Average Speed} = \frac{\text{Distance}}{\text{Time}}
    $$
    
  21. Substitute the given values.

    $$
    \text{Average Speed} = \frac{270 \text{ km}}{3 \text{ hours}}
    $$
    
  22. Calculate the speed.

    $$
    \text{Average Speed} = 90 \text{ km/h}
    $$
    $$
    \boxed{\text{90 km/h}}
    $$
    

    WEEK FOUR: QUANTITATIVE REASONING (TIMED, CONTD)

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