FORM ONE BASIC MATHEMATICS MODAL EXAM 

Time: 2 Hours

Instructions.

1. This paper consists of ten questions.

2. Answer all questions. 

3. All necessary working and answers for each question done must be shown clearly in the space provided for each question.

1. (a). How many packets of cigarettes are left over when 516 of them are packed into boxes which hold 36 packets each?

(b). Find the prime factors of the following numbers: 20, 40 and 42.

(c). Use a number line to find the product of -3 and -2 

2. (a). i). Find the value of

           ii). Find 3

    (b). In a class, 8 students take chemistry, 15 take history, 12 take French and 19 take bible  knowledge. If 5 students from each subject are selected to represent their fellow in tour, give the fraction of students for each subject represented in a tour.

3. Change the following repeating decimals into fractions:

(a). 2. (b). 0. (c). 0. 2

(b). Mariam was given 20 000 shillings by her father. She spent 48% of it to buy shoes. How much money she remained with? 

(c). Three fifths of the pupils come from the town Centre. What percentage of the pupils do not come from the town Centre?

4. (a). Which were the leap years between 1953 and 1969?

(b). A boy has a pile of four books on his desk. The thickness of the books are 22 mm, 13 mm,   39mm and 18 mm. Can the pile fit in a shelf of 10 cm high? If so, calculate the length of the space left. 

5. (a). i). Estimate the value of 521 29

         ii). Estimate the value of 8208  38

    (b). Write 86.463 correct to

 (i) 1 decimal place (ii) 2 decimal places (iii). 1 significant figure (iv). 2 significant figures 

(c). i). Write  in decimal form, correct to 4 significant figures.

  ii). Simplify 0.3143  6.06 giving the answer correct to 3 significant figures.

6. (a). In figure below if is parallel to and is a transversal, find the angles marked x,y,z,w,b and a

(b). In figure below find the values of

        (i). x,y and z          (b). z + y +x

(c). The figure ABCD below is a trapezium. Find the values of angles marked a,b, and c 

7. (a). The sum of two consecutive even numbers is 48. Find the numbers. 

(b). Solve the following pairs of simultaneous equations by substitution method.

(c). Use the following two figures to calculate the values of x and y:

8. (a). Juma, Ali, Mery and Kato have 300, 100, 500 and 600 shares in a cooperative shop respectively. Divide 150 000 shillings among them in the ratio of their shares.

 (b). A house was sold at a profit of 900 000 shillings. If the rate of profit is 37  %, find the cost (buying price) of the house.

 (c). Find the time in which 30 000 shs will earn sh 6000 at the rate of 5% interest per annum.

9. (a). Calculate the gradient of point A(5, 12) and B(3, 2).

(b). A straight line passes through points P(-4, 5) and Q(-2, 1) find;

          (i) The gradient of the line

          (ii) The equation of the line

          (iii) The y-intercept

          (iv) The x- intercept

10. (a) Find the perimeter of the given figure below;

(b). The area of a circle is 616 mm². Find the circumference.(take  )

(c). The figure below is formed by three semi-circular figures. Find the area of the shaded region(take  ).