Page 76 - Mathematics

12. The ages of a father and his son are in the ratio of 4: 2, respectively.
How old is the father if the son is 20 years old?
13. The ratio of the heights in centimetres of two goats is 8:18.What is the
height of the smaller goat if the larger goat is 45 cm tall?
14. The scale on a map is 1:30,000. What actual distance does a length of
12 cm on a map represent if a scale is given as a ratio of the distance on
the map to the corresponding actual distance on the ground?
15. A Tanzanian map was drawn on a scale of 1:10,000,000. If the distance
between Mbeya and Dodoma is approximately 589 km, how far apart in
Tanzania Institute of Education
centimetres are the two regions on the map?
16. A piece of carpet is 28 m long. A shopkeeper divided it into three pieces in
the ratio 1: 2:5.Find the length of the smallest and largest piece of carpet.
17. At a football match, the ratio of children to adults watching the match
is 1:5. There are 80 children in the stadium and each adult ticket cost
Tshs 10,000 and that of children is quarter of the adult’s ticket. Find the
total amount of money obtained from ticket sales.

18. An athlete runs 200 metres in 50 seconds. If he runs constantly, how
much time will he use to run 1,000 metres?
19. Juma read 81 pages of a book containing 144 pages. Find:
(a) the ratio of a number of pages remaining to the pages read in its
lowest form.
(b) the ratio of the percentage of the pages read to the total number of
pages.
20. Express the ratio of 18 hours to 2 days in its lowest terms.
21. Two consecutive numbers are in the ratio 2:7. If 6 is added to their sum,

the result is 32. Find the numbers.
22. Find (5x − 2 ):(3y x − ) y in its lowest form if :xy = 4:9.

23. The denominator of a fraction exceeds the numerator by 5. If 4 is
Mathematics Form One 24. In an isosceles triangle, the ratio of each of the equal sides to the third side
subtracted from the numerator and the denominator remains unchanged,
2
the resulting fraction is . Find the original fraction.
5

is 3:1. The perimeter of the triangle is 49 cm, find the length of each side.
25. Six copies of Mathematics text books cost Tshs 66,000. Find the cost of
8 copies of the same textbooks.

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