Wednesday, October 24, 2012

S. S two homework week 6 2012/2013 session

1. An alloy is made up of 114g of brass and 126g of iron. Find the ratio of the weight of brass to the weight of the alloy.

2. The monthly salary of a man is increased from #27,000 to #32,000. Find the percentage increase.

3. A trader makes a loss of 15% when selling an article, find the ratio-selling price : cost price.

4. A baker used 40% of a 50kg bag of flour. If 1/8 of the amount used was for cake, how many kilograms of flour was used for cake?

5. A car uses one litre of petrol for every 14km. If one litre of petrol costs #97.00, how far can the car go with #9700.00 worth of petrol?

6. The ratio of the number of men to the number of women in a 20-member committee is 3:1. How many women must be added to the 20 member committee so as to make the ratio of men to women 3:2

7. If 30% of Y is equal to X, what is 30% of 3Y?

8. In 1995, the enrolments of two schools X and Y were 1,050 and 1,190 respectively. Find the ratio of the enrolments of X to Y.

9. Mr Efe travelled from Accra to Pamfokrom a distance of 720km in 8 hours. What will be his speed in m/s.

10. In one month, a man spent #650 on newspapers and #240 on soap. The next month, he reduced his newspaper spending by 40%. If the ratio of the amount spent on soap in the second month to that of the first month is 5:3, what is the difference in the amount spent on both items in the two months?

11. Find the 8th term of the A.P -3, -1, 1, ...

12. The fourth term of an Arithmetic progression is 1 less than twice the second term. If the sixth term is 7, find the first term.

13. The ratio of the height of a triangle to the base is 3:2 and its area is 30 square cm. Calculate, correct to 2 decimal place, the height of the triangle.

14. How many minutes will it take to cover a distance of 8.1km at an average speed of 5m/s.

15. An A.P has 3 as its first term and 4 as the common difference.
(i)write an expression, in its simplest form for the nth term.
(ii)Find the least term of the A.P that is greater than 100.

16. If the ratio x : y = 3 : 5 and y : z = 4 : 7, find the ratio x : y : z

17. The first term of an Arithmetic progression(A.P) is 3 and the common difference is 4. Find the sum of the first 28 terms

18. A boy measured the length and breadth of a rectangular lawn as 59.6m and 40.3m respectively instead of 60m and 40m. What is the percentage error in his calculation of the perimeter of the lawn?

19. A boy estimated his transport fare for a journey as #190 instead of #200. Find the percentage error in his estimate.

20. The sum of the first 9 terms of an A.P is 72 and the sum of the next 4 terms is 71. Find the A.P

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