1. Find the value of the following:

(a) 1 + 2 + 3(1 + 2 + 3) 

(b) 4 - 18 + 16 

(c) 6 of 4 \(\div\) 2 + 10 

(d) 2 x 3 - 4 + 8 

(e) 4 \(\div \) 2 x 4 of 6 

(f) 63 x 35 of 5 

(g) 6 - 82 - 38 + 139 

(h) 745 - 21 + 307 

(i) \(2 {4\over5} \times1{2\over3} + 1{1\over7} \div 2 {3 \over7}\)

 

2. Work out the following: 

(a) 12.2 - 0.9 + 5 - 2.04 

(b) 4.2 - 7 - 13.7 + 20.9 

(c) 6 - 7.2 - 7 + 10.7

(d) 5.1 - 7.2 + 2.9 - 0.04

(e) 4.33 - 6.8 + 5.48 - 3

(f) 83.5 - 3.90 + 0.084 + 2.057 - 40.25 

(g) \({2\over 5} of { ({ {3\over8} + {2\over5} }) } \div {1 {2\over3}}\)

(h) \( (1 {1\over2} + {2 {1\over3} }) - (5 {1\over6} - {3 {1\over3} }) \)

 

3. What is the next number in the following sequence?

(a) 0.75, 0.71, 0.7, ____.

(b) \(2 {1\over2}, \quad 2 {1\over8}, \quad 1 {7\over8}, \) ____.

(c) 3, 8, 15, 24, 35, ____.

 

4. I read \(2\over3\) of a book yesterday and \(1\over5\) of it today. If I have now read 39 pages, how many pages how many pages are there in the book?

 

5. A father spent 1/4 of his salary on food, 1/8 as busfare, 1/12 on school fees and saved the rest. If he saved Sh 2079, how much does he earn?

 

6. A drum is 2/3 full of water. After 25 litres are drawn from the drum, it becomes 1/2 full. How many litres of water can the drum hold when full? 

 

7. I ate 1/3 of the bananas mother bought, my sister then ate 1/2 of the remainder. If she ate 5 bananas, how many bananas, were there altogether?

 

8. One day a soldier in the barracks ate 1/5 of his ration. The next day he ate 3/5 of what he had left. What fraction of his ration remained?

 

9. The area of a rectangle is \(15 {3\over 4}\) m²  and one side is \(2 {3\over 4}\) m long. What is the length of the adjacent side?

 

10. A man spent 1\4 of his salary on food, 1\3 on rent and saved the rest. What fraction of his salary does he save?

 

11. A tin whose capacity is \(4 {3\over4}\) litres is half full of water. If \({1\over2}\) litres of water is added, how much more water is needed to fill the tin?

 

12. Joel's wages are Sh. 400 per day 3\4 of Joel's wages ie equal \(2\over3\) of David's wages. How much does David earn?

 

13. (a) If \(1 {7\over8}\) is divided by a certain number the answer is 5. What is the number?

 

14. A tank is filled by tap A in 3 min and emptied by tap B in 4 min. What fraction of the tank will be filled in 2 min.

 

15. Kanini worked out: 

\(10 - ({ 6{1\over3} + {1\over3} }) - ({ 2{2\over5} - 1 {3\over4} })\)

If she got the right answer, then she got ____.