SECTION B - Page 2

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SECTION B

In a class, 31 pupils play tennis (T) and (d+5) play volley ball (V) only.

d pupils play both games while 3 play neither of the games

(a)use the above information to complete the venn diagram below.

(b)If 27 pupils play volleyball altogether, find the value of d

(a)what number has been expanded below?

(6x10³) + (2x10¹) + (7x10⁰) + (3x10^-2).

(b)Work out (8.5x14) + (8.5x16)

The table below shows the rate at which different currencies were sold and bought in a commercial bank during the month of September.
use it to answer the questions that follow

Currency

selling in Ug. sh

Buying in Ug. Sh

1 US dollar

i Euro

1 Rwandeese franc

3,600

4,000

4.0

3,650

4,020

5.0

(a)How many Euros did Musa get for Ug. Sh. 603,000?

(b)Amina came from Rwanda with 109,500 Rwandese francs and exchanged them for Us dollars. How many Us dollars did she get from the bank?

Betty filled container A below with drinking water. She served visitors with the water using cups of size B shown in the diagram.

Find total number of full cups of water she served the visitors (use π=22/7)

A fruit seller sold the following number of mangoes in six days.

60, 35, 28, 42, and 35

(a)What is the modal number of mangoes sold?

(b)work out the mean umber of mangoes sold.

(c)By the end of the seventh day, the mean number of mangoes sold was 44. How many mangoes were sold on the seventh day?

In the figure below, line AB is parallel to CD. Angle CTV=44⁰ and angle TQR =56⁰. Study and use it to answer the questions that follow.

find the size of

(a) angle k

(b)angle g

The table below shows how a motor cyclist travelled from town R through town Q and S to town P.
study it to answer the questions that follow.

Town

Arrival

Departy

..........

1: 30 a.m

10:35 a.m

1:30 p.m

9:00 a.m

9:42 a.m

11:10 a.m

(a)How long did the motor cyclist stay at town s?

(b) find the time the motor cyclist took to travel from town R to town P.

(c)If the distance from town R to P is 180 km, calculate the average speed of the motor cyclist for the whole journey.

Madada sold his radio to Aguti at 63,000 making a loss of 10%. Aguti later sold the radio to chebet at a profit f 15%

(a)calculate the amount of money Madada paid for the ratio

(b)For how much money did Aguti sell the radio?

Study the figure below and use it to answer the questions that follow

(a)calculate the area of the figure

(b)work out the perimeter of the figure

Two taps F and E are connected to water tank. Tap F can fill the tank in 2 hours while E can empty it in 3 hours. One day when the tank was 1/3 full of water, the taps were opened at the same time.

How long did it take to fill the tank?

A geometry set costs half as much as a book. A book costs 600 more than a fountain pen. If the total cost of the three items is sh 6,900, find the cost of the geometry set.

A plane flew from airport K to airport T on a bearing of 120⁰. The distance between T and R is 500 km.

(a)sketch the journey made by the plane

(b)using a scale of 1 cm to represent 100 km draw an accurate diagram to show the journey made by the plane.

(c)Find the bearing of the airport R from airport K

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MATHEMATICS 2015 - SECTION B

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