1. Find the next number in the sequence:
1,3,7,13,21,.............................
2.Work out :
2/5+1/5
3. Given that PuQ={1,2,3,4,5,6,7,8}, PnQ={ 1,4,7} and p'={5,6,8},list the elements of set P.
4. Work out:
127x3
5. Write 546 in Roman numerals.
6.Solve: 2a-6 = 10
7. Represent the number operation -5++7 on the number line below.
8. Write the number whose standard form is 7.43 x 102
9. Using a ruler and a pair of compasses only, construct a line through point W parallel to line CD
10. Peter walked a distance of 2km in 20 minutes. Find his speed in kilometres per hour.
11. A businesswoman borrowed sh 100,000 from a savings group which charged her an interset rate of 3% per month. Calculate the interset she paid after a period of six months.
12. Town N is south East of town R. Find the bearing of town R from N.
13. The weight of a teacher is 72kg. T he average weight of the teacher and the three pupils is 50kg. Calculate the total weight of the pupils.
14. Round off 2498 to the nearest hundreds.
15.A poultry farmer sells 30 eggs at sh 12,000. Find the cost of 25 eggs.
16.Workout:
1 0 0 1 two
- 1 1 1 two
.................................................
.................................................
17.The drawings below show cards with numbers written on them.
18. A packet of biscuits weighs 200 grammes . Calculate the total weight in kilogrammes of 30 packets of biscuits.
19. Calculate the volume of the cyclinder below.( Use π= 22⁄ 7)
20. Given that T= 8 and M= 6, .Find the value of √TM+1.
SECTION B
21. In village , 3 farmers grow both rice(R) and beans (B) . 24 farmers grow rice and Y famers beans only. 2y + 9 farmers grow none of the two crops.
(a) Use the given information to complete the venn diagram below.
(b) Give that the number of farmers who grow rice only is equal to the number of farmers who grow none of the two crops, find the value of Y.
(c) How many farmers grow beans?
22. A motorist left his home 7:40a.m. and travelled to town for 3 hours at an average speed of 64km/hr . He stayed home for 30 mintues and then travelled back home.
(a) Calculate the distance from the motorist's home to the town
(b) At what time did the motorist leave the town?
(c) Calculate the speed at which the motorist travelled back if he reached home at 3:10p.m.
23.A trader bought 500 mangoes at sh250 each .The trader then sold 100 of the mangoes at sh 350 each and the rest at sh300 each.Calculate the profit the trader made.
24 workout: 0.75 +0.25⁄0.65− 0.4
25..Using a ruler and a pair of compasses only, construct trangle ABC in which AB= 7cm, AC = cm and angle CAB = 45°
(b) Measure angle ACB.
26.The sum of three consecutive counting numbers is 78. Find the largest number.
27. A mathemarical set costs sh 2,000 more than an exercise book. The cost of two exercise books is the same as 2⁄5 of the cost of a mathematical set . Find the cost of an exercise book.
28 . The figure below represents a photogradh enclosed in a photo frame. The lenght of the photo frame is 30cm and the width 22cm. The area covered by the photograph is shaded. Study the figure and use it to answer the question that follow.
(a) Find the length of the photograh
(b) Calculate the area of the frame not covered by the photograh
29. The diagram below shows a tank full of water..The water leaks at a rate 1.5litres per hour. Study the diagram and use it to answer the questions that follow.
(a) Find the capacity of the tank in litres.
(b) Calculate;
(i) The amount of water in litres that will leak out of the tank.
(ii) The height of the water that remains in the tank after 12 hours.
30.A company text books to three schools; D, F, and G in the ratio 4:6:5 respectively . School D received 72 books less than F.
(a) Find the number of text books supplied by the company
(b) Calculate the number of books school G got.
31.The bar graph below shows marks scored by pupils in a test . study the graph and use it to answer the questions that follow.
(a) Find the number of pupils who did the test.
(b) Calculate the men mark of the pupils.
32.In the figure below, line XY=XZ and line TS is parallel to line XY angle TSZ = 45° and angle YXZ = 70°. Study the figure and use it to answer the questions that follow.
Find the size of angle;
(a) XYZ
(b) SZX