This paper consists of ten (10) compulsory questions.Show clearly all the working and answers in the space provided.All writing must be in blue or black ink except drawing which must be in pencil.1.(a) (i) Add the first three multiples of 2, 3 and 5.(ii) The numbers K, 2, 3 and 5 have an average of 5. What is the number represented by the letter K?(b) Re-write the number as a mixed fraction.2. (a) The number of pupils in three primary schools is as follows. Iganzo primary school is 1600 pupils, Ruanda primary school is 1500 pupils and Ilea primary school is 1800 pupils. Approximate the number of pupils of the three schools to the nearest thousands.(b) Calculate (80kg 49g) – (39kg 850g)3.(a) (i)Arrange 2/5, 5/8 ,48% and 0.6 in ascending order(ii) Show on the number line the solution set of the inequality│2x+1│>3 (b) Equal squares as large as possible are drawn on a rectangular board measuring 54cm by 78cm. Find the largest size of the squares.4.(a) Solve 3 - of (6x+9) = 5-2x(b) Solve the following simultaneous equations 2x+3y=54x+23=5y5(a) One - third of the sum of ages of Ana and Asha is 50 years, and one - fifth of the difference of their ages is 2 years, find the age of Ana and Asha respectively.(b) The width of the football ground is 40m. If the area of the same football ground is 1700m2(i) find the length of the football ground(ii) if the person has to walk around the football ground, what length of the football ground is expected to be covered by the person?6.(a) Differentiate between rational number and irrational number(b) Sketch the graph of the equation x-2y=47. (a) A car was sold at a profit of 90000 shillings. If the rate of profit is % , find the purchasing price of the car and its selling price?(b) Mr. Juma deposited a certain amount of money in a bank for a period of 3 years at the rate of 3.5% which gives an interest of 8400 shillings. Determine the amount of money that Mr. Juma deposited initially.8.(a) (i) John, Ramadhani , Marry and Sam have 600 ,100, 500 and 300 shares in a cooperative shop respectively. Divide 150,000 shs among them in the ratio of their shares.(ii) A real estate agent received a 6% discount on the selling price of a house . If the discount was Tsh.888,000. What was the selling price of the house ?(b) Find the area of the shaded region in the figure below9. (a) Study carefully the figure belowFind the values of the angles marked p, q and r respectively.Find the value of p+q+r(b) If 2x +700 and 3x+200 are supplementary angles, determine the value of x10.(a) If the straight line CD which is passing through the points C (2 , 6) and D ( K , 3 ) has a gradient of -1, find the value of K.(b) Find equation of a line passing through point ( 0 , 3 ) and ( 1 , 2 )
Question
This paper consists of ten (10) compulsory questions.Show clearly all the working and answers in the space provided.All writing must be in blue or black ink except drawing which must be in pencil.1.(a) (i) Add the first three multiples of 2, 3 and 5.(ii) The numbers K, 2, 3 and 5 have an average of 5. What is the number represented by the letter K?(b) Re-write the number as a mixed fraction.2. (a) The number of pupils in three primary schools is as follows. Iganzo primary school is 1600 pupils, Ruanda primary school is 1500 pupils and Ilea primary school is 1800 pupils. Approximate the number of pupils of the three schools to the nearest thousands.(b) Calculate (80kg 49g) – (39kg 850g)3.(a) (i)Arrange 2/5, 5/8 ,48% and 0.6 in ascending order(ii) Show on the number line the solution set of the inequality│2x+1│>3 (b) Equal squares as large as possible are drawn on a rectangular board measuring 54cm by 78cm. Find the largest size of the squares.4.(a) Solve 3 - of (6x+9) = 5-2x(b) Solve the following simultaneous equations 2x+3y=54x+23=5y5(a) One - third of the sum of ages of Ana and Asha is 50 years, and one - fifth of the difference of their ages is 2 years, find the age of Ana and Asha respectively.(b) The width of the football ground is 40m. If the area of the same football ground is 1700m2(i) find the length of the football ground(ii) if the person has to walk around the football ground, what length of the football ground is expected to be covered by the person?6.(a) Differentiate between rational number and irrational number(b) Sketch the graph of the equation x-2y=47. (a) A car was sold at a profit of 90000 shillings. If the rate of profit is % , find the purchasing price of the car and its selling price?(b) Mr. Juma deposited a certain amount of money in a bank for a period of 3 years at the rate of 3.5% which gives an interest of 8400 shillings. Determine the amount of money that Mr. Juma deposited initially.8.(a) (i) John, Ramadhani , Marry and Sam have 600 ,100, 500 and 300 shares in a cooperative shop respectively. Divide 150,000 shs among them in the ratio of their shares.(ii) A real estate agent received a 6% discount on the selling price of a house . If the discount was Tsh.888,000. What was the selling price of the house ?(b) Find the area of the shaded region in the figure below9. (a) Study carefully the figure belowFind the values of the angles marked p, q and r respectively.Find the value of p+q+r(b) If 2x +700 and 3x+200 are supplementary angles, determine the value of x10.(a) If the straight line CD which is passing through the points C (2 , 6) and D ( K , 3 ) has a gradient of -1, find the value of K.(b) Find equation of a line passing through point ( 0 , 3 ) and ( 1 , 2 )
Solution
1.(a) (i) The first three multiples of 2 are 2, 4, and 6. Their sum is 2+4+6 = 12. The first three multiples of 3 are 3, 6, and 9. Their sum is 3+6+9 = 18. The first three multiples of 5 are 5, 10, and 15. Their sum is 5+10+15 = 30. (ii) The average of K, 2, 3, and 5 is 5. So, (K+2+3+5)/4 = 5. Solving for K, we get K = 20 - 2 - 3 - 5 = 10.
1.(b) The number is not provided in the question.
2.(a) The number of pupils in the three schools is 1600 + 1500 + 1800 = 4900. Approximated to the nearest thousand, this is 5000.
2.(b) (80kg 49g) – (39kg 850g) = 40kg 199g
3.(a) (i) In ascending order: 2/5, 48%, 5/8, 0.6 (ii) The inequality │2x+1│>3 is not complete.
3.(b) The largest size of the squares that can be drawn on a rectangular board measuring 54cm by 78cm is the greatest common divisor of 54 and 78, which is 6cm.
The rest of the questions are not complete or clear enough to provide an answer.
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