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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)
- To hold in camera: To hold a meeting or trial in private, not open to the public.
- To lead to the altar: To get married.
- His better half: His wife.
- To put one's eggs in one basket: To risk everything on a single venture or plan.
- To be a bad egg: To be a person who is dishonest or unreliable.
- To take the bull by the horns: To confront a difficult situation directly and courageously.
- To be chicken-hearted: To be easily frightened; cowardly.
WEEK FOUR: MATHEMATICS
TOPIC: WEIGHT (CONVERSION OF THE UNIT OF WEIGHT INVOLVING WEIGHT/AVERAGE SPEED)
- The lightness or heaviness of somebody or thing is weight.
- Units of weight are the gram and the (3) kilogram.
- kilogram
Write in kilograms and grams
Separate the whole number and decimal part.
$$ 12.53 \text{ kg} = 12 \text{ kg} + 0.53 \text{ kg} $$Convert the decimal part to grams ().
$$ 0.53 \text{ kg} = 0.53 \times 1000 \text{ g} = 530 \text{ g} $$Combine the kilograms and grams.
$$ \boxed{\text{12 kg 530 g}} $$5.
Separate the whole number and decimal part.
$$ 5.76 \text{ kg} = 5 \text{ kg} + 0.76 \text{ kg} $$Convert the decimal part to grams.
$$ 0.76 \text{ kg} = 0.76 \times 1000 \text{ g} = 760 \text{ g} $$Combine the kilograms and grams.
$$ \boxed{\text{5 kg 760 g}} $$6.
Separate the thousands from the hundreds/tens/units.
$$ 3380 \text{ g} = 3000 \text{ g} + 380 \text{ g} $$Convert grams to kilograms ().
$$ 3000 \text{ g} = 3 \text{ kg} $$Combine the kilograms and grams.
$$ \boxed{\text{3 kg 380 g}} $$7.
Separate the thousands from the hundreds/tens/units.
$$ 7423 \text{ g} = 7000 \text{ g} + 423 \text{ g} $$Convert grams to kilograms.
$$ 7000 \text{ g} = 7 \text{ kg} $$Combine the kilograms and grams.
$$ \boxed{\text{7 kg 423 g}} $$Word Problems
- 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").
Calculate the total weight of beans bought.
$$ \text{Total beans bought} = 200 \text{ bags} \times 50 \text{ kg/bag} = 10000 \text{ kg} $$Calculate the weight of beans given to children.
$$ \text{Beans for children} = 5 \text{ bags} \times 50 \text{ kg/bag} = 250 \text{ kg} $$Calculate the total weight of beans used (sold + given away).
$$ \text{Total beans used} = 5000 \text{ kg} + 250 \text{ kg} = 5250 \text{ kg} $$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.
Recall the formula for average speed.
$$ \text{Average Speed} = \frac{\text{Distance}}{\text{Time}} $$Substitute the given values.
$$ \text{Average Speed} = \frac{28 \text{ km}}{4 \text{ hours}} $$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.
Recall the formula for average speed.
$$ \text{Average Speed} = \frac{\text{Distance}}{\text{Time}} $$Substitute the given values.
$$ \text{Average Speed} = \frac{270 \text{ km}}{3 \text{ hours}} $$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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