GCSE Mathematics Worksheet - Compound Measures-1-Notes

Distance-time graphs

• In a distance-time graph, the gradient of the line is equal to the speed of the object. The greater the gradient (and the steeper the line) the faster the object is moving.
• If an object is accelerating or decelerating, its speed can be calculated at any particular time by:    
• drawing a tangent to the curve at that time
• measuring the gradient of the tangent

Velocity-time graphs

• The gradient of the line is equal to the acceleration of the object.
• The displacement of an object can be calculated from the area under a velocity-time graph.         

       
Acceleration

• Acceleration is the rate of change of velocity. It is the amount that velocity changes per unit time.
• The change in velocity can be calculated using the equation:

• change in velocity = final velocity - initial velocity

     

• The average acceleration of an object can be calculated using the equation:

        
     This is when:

• acceleration (α) is measured in metres per second squared (m/s²)

• change in velocity (∆v) is measured in metres per second (m/s)

• time taken (t) is measured in seconds (s)

• If an object is slowing down, it is decelerating (and its acceleration has a negative value).

Velocity, acceleration and distance

• This equation applies to objects in uniform acceleration:

      (final velocity)2 - (initial velocity) 2  = 2 × acceleration × distance

       

• This is when:

• final velocity (v) is measured in metres per second (m/s)

• initial velocity (u) is measured in metres per second (m/s)

• acceleration (a) is measured in metres per second squared (m/s2)

• displacement (s) is measured in metres (m)          

Downloaded from https://qusaistuition.blogspot.com

Leave your comment

0 comments

IGCSE Mathematics Worksheet - Number 3

Answer the following

11. The ratios of teachers : male students : female students in a school are 2 : 17 : 18. The total number of students is 665. Find the number of teachers.

12.A recipe for tomato soup uses tomatoes and onions in the ratio 7 : 2. If 21 kg of tomatoes are used, how many kilograms of onions are needed?  

13. The ratio of flour sugar cocoa in a cake recipe is 2 : 1 5 : 0 5

If 10 kg of flour is used, how much:   a sugar b cocoa is used?

14.  On a particular day, 1 Australian dollar is worth 0:94 US dollars.

How many Australian dollars can be exchanged for $20 US?

15.  For her holiday, Alyssa changed 2800 Malaysian Ringgits (MYR) to US dollars ($) when the exchange rate was 1 MYR = $0.325 . At the end of her holiday she had $210 left.
(a)How many dollars did she spend?
(b) She changed the $210 for 750 MYR. What was the exchange rate in dollars for MYR?

16. A train leaves Zurich at 2240 and arrives in Vienna at 0732 the next day. Work out the time taken.

17. A plane took 1 hour and 10 minutes to fly from Riyadh to Jeddah. The plane arrived in Jeddah at 23 05. At what time did the plane depart from Riyadh?

18. Ahmed earns $20000 each year.In 1991, he paid no tax on the first $3000 of his earnings. He paid 25% of the rest as tax. Show that he paid $4250 as tax.

19.Petra has a monthly income of $4700. She does not have to pay any tax on the first $2400 she earns, but she has to pay 15% of the remainder as tax.
a How much tax does Petra have to pay?
b How much does Petra have left after tax?
c What percentage of the $4700 does Petra actually pay in tax?

20. Alex invests $200 for 2 years at a rate of 2% per year simple interest. Chris invests $200 for 2 years at a rate of 2% per year compound interest. Calculate how much more interest Chris has than Alex.
Downloaded from https://qusaistuition.blogspot.com

Leave your comment

0 comments

CBSE 8th-Mathematics Worksheet- Comparing Quantities/Percentages-2

Answer the following:

1. A man sold two articles at Rs 25920 each. These were sold at 8% gain and 4% loss respectively. Find the gain or loss present in the whole transaction.

2. The discount per cent is calculated on the _________ price of an article.

3. A shirt with marked price Rs 1500 was sold to a customer for Rs 1080. Find the rate of discount allowed on the shirt.

4. If M.P = Rs 650 and discount = 10% Find Sale Price

5. Reena offers a discount of 20% on all the items at her shop and still makes a profit of 12%. What is the cost price of an article marked at Rs 280?

6. What price should a shopkeeper mark on an article that costs him Rs 600 to gain 20%, after allowing a discount of 10%

7. Sana bought a product for Rs 3,155 including 4.5% sales tax. Find the price before tax was added.

8. Priya purchased a toy for Rs 660 including sales tax. If the rate of sales tax is 10%, find the selling price of the toy

9. Arun buys a book costing Rs 600. If the rate of sales tax is 7%, then what is the total amount payable by him?

10. Shreya bought medicines from a medical store as prescribed by her doctor for Rs 36.40 including 4% VAT. Find the price before VAT was added.

11. Find the difference between Compound Interest and Simple Interest on Rs 45,000 at 12% per annum for 5 years.

12. Find the compound interest on Rs 48,000 for one year at 8% per annum when compounded half yearly.
Downloaded from http://qusaistuition.blogspot.com/

Leave your comment

0 comments

CBSE 8th-Mathematics worksheet-Comparing Quantities/Percentages-1

Answer the following: 

1.      70% of students in a school are boys and the number of girls in the school is 504. Find the number of boys.

2.      Alena  spends 40% of her salary on food, 25%on house rent, 15% on entertainment and 5% on conveyance. Her savings at the end of the month is Rs. 1200. Find the salary per month.

3.      If 60% people speak Spanish, 30% speak English and the remaining speak other language, then what percent of the people speak other languages? If the total population is 50 Lakhs, find the exact number of people who speak each type of language?

4.      The human body is made up mostly of water. In fact, about 67% of a person’s total body weight is water. If Diya weights 56 kg, how much of her weight is water?

5.      The annual rate of growth of population of a certain city is 8%. If its present population is 1,96,830, what was the population year ago.

6.      The enrollment in a school increases from 1200 to 1254. Determine the percent increase in student enrollment.

7.      The bacteria in our hands grow at the rate of 20% every hour. What will be their count after 3 hrs if their initial count is 5 lakhs.

8.     A number is increased by 20% and then it is decreased by 20%. Find the net increase or decrease per cent.

9.     Lemons were bought at Rs 48 per dozen and sold at the rate of Rs 40 per 10. Find the gain or loss per cent.

10. Raj bought a watch for Rs. 800 and sold it for Rs. 1000. Anu bought a car for Rs. 4,00,000 and sold it for Rs. 4,20,000. Who made a better sale, Raj or Anu?

11. A real estate agent receives Rs 50,000 as commission, which is 4% of the selling price. At what price does the agent sell the property?

12. A watch worth Rs 5400 is offered for sale at Rs 4,500. What per cent discount is offered during the sale?

Downloaded from http://qusaistuition.blogspot.com/

Leave your comment

0 comments

IGCSE Mathematics - Percentages& Compound interest-Worksheet

Answer the following 

1. Alex scored 72% for an examination out of 150 marks. How many marks did Alex score? 

2. Petra has a monthly income of $4700. She does not have to pay any tax on the first $2400 she earns, but she has to pay 15% of the remainder as tax. 

a How much tax does Petra have to pay?
b How much does Petra have left after tax?
c What percentage of the $4700 does Petra actually pay in tax? 

3. A camera is purchased for €650 and is marked up by 20% 

    Find: a the profit b the selling price 

4. Brad bought an old car for $600. He spent $1038 restoring it and sold it for $3500. Find his profit or loss on the sale. 

5. Calculate the simple interest on a $4000 loan at a rate of 7% per annum over 3 years. Hence find the total amount to be repaid. 

6. What rate of simple interest per annum would need to be charged on a loan of $20 000 if you wanted to earn $ 3000 in interest over 2 years? 

7. The value of an old book has increased by 35% to $540. What was its original value? 

8. A share trader buys a parcel of shares for $4250 and sells them for $3800.
   Calculate the percentage decrease in the investment 

9. Increase $3500 by 10% and then decrease the result by 14% 

10. $5000 is invested at 8% p.a. compound interest with interest calculated annually.
a What will it amount to after 3 years? b Find the interest earned. 

11. After 4 years a tractor purchased for €58 500 has a resale value of €35080.
Find its annual rate of depreciation. 

12. Biathlete Jo cycles 60 km at a speed of 30 km/h, and then runs another 15 km at a speed of 10 km/h.
Find: a the total time b the average speed for Jo’s training session. 

13. Ahmed earns $20000 each year.In 1991, he paid no tax on the first $3000 of his earnings. He paid 25% of the rest as tax.
Show that he paid $4250 as tax.

Downloaded from http://qusaistuition.blogspot.com/

Leave your comment