Maths CAT

Answer all questions and take a picture and submit your answers through the link provided below the questions

1. If x = -2,   y= -6 and z= 4,   find the value of   4xy          (3 marks) 

2. A number m is such that when it is divided by 30, 36, and 45 the remainder is always 7, find                   the smallest possible value of m.     (3 marks) 

3. Which of the following number is divisible by both 3 and 4?        (3 marks)

         120, 744, 306, 9564, 1504, 192, 86 and 36.

4. A rectangle measures 20cm by 15cm.If each dimension is increased by 2.5cm, by what percentage is

a) the perimeter of the rectangle increased                                                                             (2mk)

b)the area of the rectangle is increased                                                                                   (2mk)

5. Find the greatest number which divides 181 and 236 and leaves a remainder of 5 in each case            (2mk) 

This last Question for Form 1 and 2 students

6. Kinyua spent 1/4 of his net January salary on school fees. He spent 1/4 of the remainder on electricity and water bills. He spent 1/9 of what remained on transport. If he finally had sh.3,400, calculate

a)      His net January salary.       (5 marks)

b)      Money spent on school fees.    (1 mark)

c)      Money spent on transport.    (2 marks)

d)      Money spent on electricity and water bills.

This last Question for Form 3 and 4 students

7. A bookseller bought a number of cartons of books at a cost of ksh 57600 from Kagumo bookstore. Had he bought the same books from Kerugoya bookstore, it would have cost him ksh 480 less per carton. This would have enabled him to buy 4 extra cartons of books for the same amount of money. By taking x to be the number of cartons of books he actually bought;

a) write an expression in x

i) for the cost of each carton he bought at Kagumo bookstore                                          (1mk)

ii)for the cost of each carton had he bought from Kerugoya bookstore                                 (1mk)

b)find the value of x                                                                                                               (6mk)

c)the bookseller later sold all the books he had bought each carton at ksh 720 more than he had paid for it. Determine the percentage profit he made                                                                   (2mk)