END OF TERM 1 PROGRESSIVE TEST DECEMBER 2021 MATHEMATICS YEAR 9 INSTRUCTIONS: - ANSWER ALL QUESTIONS IN THE SPACES PROVIDED. 1. a) The population of a town is 176000. If it increases at the rate of 5% per annum, what will be its population 2 years hence? [3mks] b) Sugar contain 5% water. What quantity of pure Sugar should be added to 10 litres of water to reduce this to 2%. [3mks] c) 500 pencils were distributed equally among children in such a way that the number of pencils received by each child is 20% of the total number of children. How many pencils did each child receive? [3mks] 2. You are tired at the end of the term and decide to borrow $500 to go on a trip to Whatever Land. You go to the bank and borrow the money at 11% for 2 years. a) Find the interest you will pay on the loan. [3mks]
b) How much will you have to pay the bank at the end of the two years? [3mks] 3. Jane deposits shs.1200 in a bank and after 2years, she has shs.1734. At what rate was the interest charged? [3mks] 4. In each year the value of the piano increases by 11% of its value at the start of that year. (a) Find the value of the piano after one year. (2mks) (b) Calculate after how many complete years the value of the piano will be at least shs.3200. (2mks)
5. (a) The price of a newspaper increased from $0.97 to $1.13. Calculate the percentage increase. [3mks] (b) One day, the newspaper had 60 pages of news and advertisements. The ratio number of pages of news: number of pages of advertisements = 5: 7. (i) Calculate the number of pages of advertisements. . [2ks] (ii) Write the number of pages of advertisements as a percentage of the number of pages of news. [1mks] (c) On holiday Maria paid 2.25 euros for the newspaper when the exchange rate was $1 = 0.9416 euros. At home Maria paid $1.13 for the newspaper. Calculate the difference in price. [3mks]
6. John bought a used car for shs.85000 and paid 15% deposit. How much did he still have to pay? [2mks] 7. Kiptoo earns a monthly salary of Kshs.25000. He is entitled to house and medical allowances of Kshs.12000 and Kshs.3000 respectively. He also pays shs.1080 per month for an NSSF pension scheme pus shs.880 for work union every month. Calculate: (a) His taxable income per month [3mks] (b) His monthly tax payable if his gross tax was shs.2843 per month and is enti- tled to a tax relief of shs.12672 per a year [3mks] (c)His annual tax payable [2mks]
8. Amy, Belinda, Candice and Diane invested money in the ratio of 2: 3: 1: 4 in a pub- lishing company. If the profit was shared according to their investment, and Amy’s profit was shs.2400, find the profit each investor made. [3mks] 9. A quadrilateral (with angle sum 360°) has interior angles in the ratio 1: 2: 3: 4. Find the size of each angle. [3mks] 10. Decrease the following by 12%: [6mks] a) 243people b) 124 cars c) 640coins 11. Helen owns a handicrafts store that has a policy of marking up all of its items by 25%. If the cost price of one article is shs.30. What will be its selling price? [2mks] 12. Georgie works some weekends and late nights in addition to normal working hours and has overtime pay arrangements with her employer.
a) Calculate how much Georgie earns if she works 16 hours during the week at the normal hourly rate of $18.50 and 6 hours on the weekend at time and a half. [3mks] b) Georgie’s hourly rate is changed. In a week she works 9 hours at the normal rate, 4 hours at time and a half and 5 hours at double time. If she earns shs.507.50, what is her hourly rate? [3mks]