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Homeschool - Mathematics

 







1. A packing box can hold up to 15 lbs. If Jack puts 9 lbs and 12 oz of clothes in the box, how much more weight can the packing box hold? *** Hint: Change everything to ounces first ***


2. Hannah ordered some office supplies. When the supplies were delivered, they came in 2 boxes. The big box weighed 8 lbs 7 oz and the small box weighed 6 lbs 12 oz. What is the total weight of the supplies?


3. An elevator can carry up to 12 persons with a maximum weight of 1,800 kg. What does the manufacturer of the elevator assume each person that takes the elevator weighs?


4. There are two boxes of cereal in the kitchen. One contains 450 g of cereal and the other one contains 1.67 kg of cereal. How much cereal (measured in kg) are there in total?   *** Hint: Change everything to the same unit**




Find the sales tax and the total to be paid using the information below. 



1. Original price = $500     Sales tax rate = 5%        Tax = __________                Total = __________

2. If the sales tax rate is 7% in California, then how much would you pay in Los Angeles for a coat that cost $200.00?

3. Calculate the total cost after including the sales tax.








1. What is the sales tax if the original price is $2,400 and the tax rate is 3.5%?


2. The original price of a car is $26,000. A tax of 15% must be paid. 
a. Calculate the tax.
b. Calculate the total cost of the car 


3. Kristen bought a scarf for $25 in New York. This price was inclusive of a 10% sales tax. 
a. Calculate the tax.
b. Calculate the cost before tax was added. 


4. A store bought a pair of gloves for $200. Before they sold them, they added 17.5% tax.  Calculate the total that a customer will pay. 






5. This mouse on Amazon sells for $35 inclusive of 10% sales tax. Calculate the price before tax was added. 




6. This headset retails for $120 inclusive of 15% sales tax. Calculate the price before tax was added. 


7. The make-up below sells on Amazon for $180 exclusive of 20% tax. 
a. Calculate the tax. 
b. Calculate the total price. 






Percentages Review

Section A







 







Section b

















Monday, November 7, 2022


Speed, Distance & Time


  • Speed = Distance ÷ Time
  • Time = Distance ÷ Speed
  • Distance = Speed x Time













Example: 

 A girl cycles for 3hrs at a speed of 40 km/h. What distance did she travel? 

  • Distance = Speed x Time
        • 40   x    3
        •  = 120 km


1. A pigeon flies for 7 hours at a speed of 70 km/h. Calculate how far the pigeon flies.

2. Jim travelled at a speed of 18km/h for 2 hours. What was the distance covered?

3. . A whale swims at a constant speed of 8m/s for 17s. What distance did it travel?

4. Fiona drives for 4 hours. Her average speed is 25.5 mph. How far does Fiona drive?

**5. 









An airplane flies at a constant speed of 780 miles per hour. How far can it travel in 120 minutes?

**6. Julia drives her car at a constant speed of 40 miles per hour. How far can she travel in 15 minutes?





1. A car drives 120 miles in 3 hours. Calculate the average speed, in mph, of the car.

2. A helicopter flies 240 miles in 2 hours 30 minutes. Calculate the average speed, in mph, of the helicopter.

*3. An airplane flies 1125 miles in 120 minutes. What is its average speed in miles per hour? 




1. A lorry travels 100 miles at an average speed of 25 mph. Work out how long the journey lasts.


2. A train travels at a speed of 30mph and travel a distance of 240 miles. How long did it take the train to complete it’s journey?

3. Matthew jogs 300 metres at 4m/s. Work out how long it takes Matthew.




PLEASE LOOK AT YOUR FORMULAS!

1. Julia drives her car at a constant speed of 40 miles per hour. How far can she travel in 30  minutes?


2. Harry cycles 8 kilometres in 30 minutes. Calculate his average speed, in km/h.



3. A cyclist travels 20km in 4hrs. What speed did the cyclist cycle at?


**4. A mouse runs a distance of 20metres in 15 minutes. What is its speed?


5. Fiona drives for 4 hours. Her average speed is 25.5 mph. How far does Fiona drive?


6. The distance between two cities is 2898 miles. The plane journey took 6 hours. Calculate the average speed of the plane.


7. Jim travelled at a speed of 18.5km/h for 2 hours. What was the distance covered?





























11. At the equator, the earth spins a distance of 25,992miles every day. Calculate the average speed of the Earth in mph.


12. The distance between two cities is 144 km, it takes me 3 hours to travel between these cities, determine my average speed.


13. A whale swims at a constant speed of 8.0 m/s for 17 s. Calculate the distance travelled by the whale.

14.A girl cycles for 30s at a speed of 4 m/s. Calculate the distance she travels.


15. A train travels at a speed of 16 m/s and travel a distance of 3200 m, calculate the time it takes the train to complete this journey





























1. How far can you get away from your little brother with the squirt gun filled with paint if you can travel at 3 m/s and you have 15s before he sees you?


2. How far can your little brother get if he can travel at 2.5 m/s and in 5 seconds you will discover that his squirt gun has run out of paint?


3.  You need to get to class, 200 meters away, and you can only walk in the hallways at about 1.5 m/s. How much time will it take to get to your class?


4. A plane travels 395,000 meters in 9000 seconds. What was its speed?


Section 2 

 










Section3















Area of a Triangles

Formula: Area of a Triangle = A = ½ (b × h)

Example: 























Example 2: 

















































Section 2





















AREA OF TRIANGLES 

Section 1

Find the area of a triangle having …………

  (a) base = 18 cm     height = 12 cm 

  (b) base = 6.5 m     height = 5 cm

  (c) base = 7.2 m     height = 7 m 

  (d) base = 10.5 m     height = 8 m


Section 2 - The question below requires you to use your   PROBLEM- SOLVING ABILITIES. FOCUS AND SOLVE IT!


Section 3







Section 4 - USE YOUR EXAMPLE TO HELP







1. 


2.  

3. 

4. 



5. 



6. A triangle has base length of 14cm. The height is 9cm. Find the area of the triangle.








































    

























Monday, December 5, 2022



















2. Molly got a haircut for $25 and she left a 10% tip. What was Molly’s final cost?


3. 















4. 










5. 


6. 






7. 









8. 












9. 



















10. 









11. 










12.         43.5 cm = ______________ m 


13-14. 


























15. 



16. 





**Please take a look at the FORMULA!

1. The length of PR is 5.2 cm. The length of RQ is 8cm. What is the area of the triangle? 




2. The sales girl measured 6 m of material. 
(a) How many cm did she measure? 
(b) The remaining piece measured 3m 4 cm. How many cm of material remained?


3-7. 

8. A tennis star won 75% of the 28 matches she played in 1993.
 How many matches did she win?


9. Which of these are perfectly divisible by 10? (no remainder)
 312,         120,         230,         108,         810,         170


10-12. Solve these:




13. Crayons are packed in packets of 20. How many packets are needed for 840 crayons?


14. A train travels at a constant speed of 40 miles per hour. How far can it travel in 3 ad a half hours?


15. An airplane flies at a constant speed of 800 km/h. How far can it travel in 30 minutes?


16. A person covers 108 km in 3 hours. What is his speed in meters per second? 


17. An airplane flies at a constant speed of 860 miles per hour. How far can it travel in 2 hours?


18. Calculate the total price of an item if it originally costs $200 and 15% tax is added. 



Write the example. Take time to understand it, then try the questions which follow. Be careful of the placement of the decimal point. 

EXAMPLE: 








 



 
 
 
 
 
 
 
 













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