1. Work out : 22x4
   
   
2. What number has been expanded below>
   
   20,000 + 600 + 8
   
   
3. Write XCIX in Hindu-Arabic numerals
   
   
4. Given that set P= {1, 2, 3, 5, 7, 9 } and set Q={2, 3, 5, 7} find (P∩Q)
   
   
5. Round off 12,962nto the nearest thousands
   
   
6. Find the value of X in the diagram below.
   
   
7. A pupil bought a dozen of exercise books for shs 6,000. He later sold each book at Sh 700. Calculate the profit.
   
   
8. Simplify 4t-2k+5k-t
   
   
9. Divide 6363 by 7
   
   
10. Work out⅔ + ⅓
    
    
11. What morning time is shown on the clock face below?
    
    
12. Simplify : ⁺4 - ⁺6
    
    
13. In a class, the ratio of girls to boys is 3:2. If there are 18 girls, how many pupils are in the class?
    
    
14. Using a ruler and a pair of compasses only, bisect the angle given below.
    
    
15. Work out: 2 -6 (mod 7)
    
    
16. Given that a=⅓ and b + ⅟9. Find the value of a/b
    
    
17. The bar graph below shows the number of eggs laid by chicken in opio’s farm from Monday to Friday. Study it to complete the table.
    
    
    
    
    
    Day of the week
    
    

    Day of the week	Mon	Tue	Wed	Thur	Fri
    No. of eggs sold	25	45	............	50	.......

18. The Lowest Common Multiple (LCM) of two numbers is 72 and their Greatest Common Multiple (GCM) is 6. If one of the numbers is 24, find the second number.
    
    
19. Trees were planted along a straight road 305 meters long. If the trees were planted 5 metres apart, how many trees were planted along the road?
    
    
20. Medi has 30 kg to be parked in ¾ kg packets. How many packets will he get?
    
    
    SECTION B       
                                                           
21. Musamali bought the items in the table below from a shop.
    
    (a)Complete the table
    

    item	price	amount
    ................bars of soap	sh 2,200 per bar	sh 6,600
    2 loaves of bread	sh...........................per loaf	sh 3,400
    2 1/2 kg of salt	sh 800 per kg	sh ...............................
    Total expenditure		sh.........................................

    
    
    
    (b)If Musamali paid Sh 10,800, what percentage discount was he given?
    
    
22. (a)Express 0.406 in standard form.
    
    (b)Write 72 as a product of its prime factors.
    
    
23. In a village of 49 farmers, 20 grow millet)M), 25 grow beans and y grow both millet and beans. 3y farmers grow neither of the two food crops..
    
    (a)use the information given above to complete the Venn diagram below.
    
    
    
    (b)Find the value of y
    
    (c)How many farmers grow neither millet nor beans?
    
    
24. Pupils did a test and scored marks as shown in the table below.
    

    Marks	50	k	45	80
    Number of pupils	2	6	3	4

    
    
    (a)How many pupils did the test?
    
    (b)Find the value of k if the mean mark was 61.
    
    (c)What was the range of the marks?
    
    
25. Solve the inequality : 9≤-3 (y-1)
    
    (b)state the first two values of the solution set for the inequality
    
    
26. A watch loses 5 seconds every hour. How many minutes will it lose in two days?
    
    (b)Express 5m/sec in km/hr
    
    
27. The pictograph below represents the number of patients who were admitted in a hospital on a certain day. Study and use it to answer the questions that follow.
    
    
    
    Note IMAGE represents 10 patients.
    
    (a)how many patients were admitted in the hospital on that day?
    
    (b)find the ratio of the patients in the women’s ward to those in the children’s ward in its simplest form.
    
    (c)express the number of patients in the men’s ward as a percentage of the total number of patients.
    
    
28. A tank was 2/3 full of water. When ¼ of the water in the tank was drawn, 2,500 litres remained. Find the capacity of the tank when full.
    
    
29. Opoka rides a distance of 2.97 km from his home to school on a bicycle. The wheel of the bicycle has a diameter of 63 cm.
    
    (a)how many revolutions does the wheel make to cover the distance? (take π=22/7}
    
    (b)if Opoka makes 50 revolutions in one minute, how long does he take to reach the school?
    
    
30. In the figure below, BCD is a straight line. Line BX bisects angle ABC. Line AB is parallel to line XC. Angle BCE=50⁰ and angle BAC =70⁰
    
    
    
    find the size of the angles:
    
    (i)CEX
    
    (ii)DCX
    
    
31. The figure below is a cuboid. Study and use it to answer the questions that follow.
    
    
    (a)find the value of y
    
    (b)find the volume of the cuboid

A tourist left town A and travelled 55 km westwards to town B. he then turned on a bearing of 215⁰ and travelled to town C which is a distance of 65 km.

(a)Draw a sketch diagram to show the tourists’ journey.

(b)using a scale of 1cm to represent 10km, draw an accurate diagram to show the tourist’s journey.

(c)find the shortest distance from town C to A in km.


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