SECTION B       
                                                       

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?

(a)Express 0.406 in standard form.

(b)Write 72 as a product of its prime factors.

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?

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?

Solve the inequality : 9≤-3 (y-1)

(b)state the first two values of the solution set for the inequality

A watch loses 5 seconds every hour. How many minutes will it lose in two days?

(b)Express 5m/sec in km/hr

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.

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.

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?

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

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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