Two boys and a girl shared some money. The elder got ⁴/₉ of it, the younger boy got ²/₅ of the remainder and the girl got the rest. Find the percentage share of the younger boy to the girls share.               (3mks)

evaluate the 2cm² following

A transport company operates three types of trucks whose load capacities are 3.2 tonnes, 8 tonnes and 10 tonnes. Calculate the least possible mass in tonnes that the company can transport with the three trucks.     (3 mks)

    Use tables of square roots and reciprocals only to evaluate                            (3 mks)

A line that passes through the point (-3, 5) makes an angle of 53.13010235⁰ with the x-axis. Find the equation of the line in the form y = mx + c, where m and c are constants.          (3 mks)

A bag of rice costs Ksh 12,500, a bag of beans costs Ksh 15,200 and a bag of maize costs Ksh 8,750. A school buys 20 bags of rice, 30 bags of beans and 45 bags of maize in a term.

Represent

(a) the cost of each bought as a 3×1 matrix                      (1 mk)

(b) the number of bags of each as a 1×3 matrix                  (1 mk)

(c) Hence calculate the total cost that the school spent in buying the items.     (2 mks)

The figure below shows the net of a right cone. The radius of the circular base is 10.5 cm.

Calculate the slant height of the cone.                           (2 mks)

The points M and N have coordinates (2, -1) and (-4, 3) respectively. A point R divides line MN externally in the ratio 3:2. Find the of modulus of OR, correct to four significant figures.          (4 mks)

Fifteen men working for eight hours a day can complete a certain job in exactly 24 days. For how many hours a day must sixteen men work in order to complete the same job in exactly 20 days?   (3 mks)

A measuring cylinder of base diameter of 10 cm contains water whose level reads 5 cm high. A spherical solid marble is immersed in the water and the new level reads 9 cm. Calculate the radius of the marble      (3 mks)