**MATHEMATICS**

**FORM ONE**

**END TERM 3 2022**

**NAME:…………………………………………….CLASS:…………..ADM NO:……….….**

__Instructions.__

**Answer all questions in the spaces provided.**

- Express the following numbers in words. (2mks)
- 14633001

- 30000010

- A matatu charges sh. 120 as fare from town A to town B. It has a capacity of 18 passangers. How much money does it make in one day covering 10 trips with full capacity. (3mks)

- Use the divisibility test of 11 to check whether the following numbers are divisible by 11. (2mks)
- 1048564

- 1120043

- Use Bodmas to evaluate. (3mks)

½ ^{3}/_{5} + ¼ (^{7}/_{3} – ^{3}/_{7} ) of 1 ½ ÷ 5

3 ^{5}/_{7}

- Victoria spent ¼ of his net January salary on school fees. She spent ¼ of the remainder on electricity and water bills. She then spent
^{1}/_{9}of what was left on transport. If she finally had sh. 3400. What was her net January salary. (3mks)

- Using mathematical tables evaluate.
- 7340
^{2}(1mk)

- 14.5
^{2}+ 0.714^{2}(2mks)

- Given that a:b = 1:2 and b:c = 3:4. Find a:b:c (1mk

- Three bells ring at intervals 30mins, 35mins and 50 mins. If they ring together at 11:25 p.m on Monday at what time and day will they next ring together? (3mks)

- The length of minute hand of a clock is 3.5cm. Find the angle it turns through if it sweeps an area of 4.8cm
^{2}. (take π=^{22}/_{7}) (3mks)

- Express the following as a single fraction.
- x-1 + x+2 + x (3mks)

2 4 5

- ax – ay + bx –by (2mks)

a+b

- Fifteen tractors each working eight hours a day takes eight days to plough a piece of land. How long would it take 24 tractors each working 10 hours a day to plough the same piece of land. (3mks)

- Use factor tree to decompose 256 into prime factors. (2mks)

- Juma, Ali and Hassan share the profit of their business in the ratios 3:7:9 respectively. If Juma receives sh. 6000. How much profit did the business yield. (3mks)

- Use bodmas to evaluate: (4mks)

5×6-76÷4+27÷3

4-2×4+36÷4

- A Kenyan bank buys and sells foreign currency as shown in the table below.

Buying (ksh) | Selling (ksh) | |

1 us dollar | 95.34 | 95.87 |

1 uk pound | 124.65 | 125.13 |

A tourist arrived in Kenya with 15000 pounds which he converted in kshs.

- How much kshs did he receive? (2mks)

- He later spend sh. 125340 while in Kenya. He converted the remainder in dollars. How many dollars did he receive? (3mks)

- A metallic cuboid measuring 16cm by 8cm by 4cm was melted. The material was used to make a cube. What is the length of the cube. (3mks)

- Find a if a
^{2}= b^{2}+ c^{2}given that b=2 c=3.5. (2mks)

- Below is a travel timetable for a vehicle operating between towns A and D 70 km apart.

Town | Arrival | Departure |

A | 10.10 am | |

B | 10.30am | 10.40 am |

C | 11.00 am | 11.05 am |

D | 11.20am |

- At what time does the vehicle depart from town A? (1mk)

- How long does it take to travel from town A to town B? (1mk)

- For how long does it stay in town B? (1mk)

- At what time does it arrive in town D? (1mk)

- What is the average speed of the whole journey? (3mks)

- A football match lasts 90 minutes with a break of 15 minutes at half time. If a referee allows five minutes extra for injuries and stoppages, what time does a match which kicks off at 4:30 pm end? (3mks)

- A rectangular plot measures 100m by 200m. Determine:
- Its perimeter in km. (2mks)

- Its area in m
^{2}. (2mks)

- Its area in ha. (2mks)

- Square tiles of 100cm by 100cm are used to cover the floor. How many tiles are used? (2mks)

- If the cost of 1 tile is sh. 25. How much money will be spent on tiles. (2mks)