SECTION 1(50 MKS)
- Evaluate without using a calculator.
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- Find the H.C.F of 36 and 54 (1mk)
- If three numbers 36,54 and another number have a G.C.D of 6 and L.C.M of 216, find the other number (2mks)
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- Simplify the expression (3mks)
- Solve for x in the equation below.
- Simplify the expression (3mks)
- Use a number line to work out the following:
- 3+-4 (1mk)
- 5 - - 2 (1mk)
- The length of an arc of a circle is 88cm. Find the radius of the circle if the arc subtends an angle 144° at the centre (Take π=22/7) (3mks)
- Four men can build a stone wall 32m long in 12 days . What length of wall can eight men, working at the same rate , build in eight days.Give your answer to 4 significant figures (3mks)
- A shopkeeper made a loss of 20% by selling a trouser at Sh. 960. What profit would he have made if he had sold it at sh.1500 (3mks)
- A girl spent 2⁄5 of her pocket money on bread and 1⁄6 of the remainder on stationery. If she had Ksh. 200 left at the end of the term, how much pocket money did she have at the beginning of the term. (3mks)
- Small cubes of of edge 2cm are to be packed into a rectangular container measuring 6 cm by 5 m and 4 m.How many cubes are required ? (3 mks)
- If a: b =2: 3 and b: c=5:9 , find the ratio a:c (2mks)
- Express 0.407 as a fraction. (3mks)
- Three bells ring at intervals ring at intervals of 40 minutes,45 minutes and 60 minutes.If they ring simultaneously at 6.30 am,at what time will they ring next together? (3mks)
- The area of 10 square plots is 160 ares. Find the length in metres of the side of each plot (3mks)
- Find the perimeter of a circular protractor whose radius is 14 cm (3mks)
- Convert the following decimals into percentage (3 mks)
- 0.67
- 1.25
- 0.167
ANSWER ALL THE QUESTIONS IN THIS SECTION
SECTION II (50MKS)
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- A cylindrical can of diameter 20 cm and height 60cm is filled with water using a cylindrical jar of diameter 10 cm and height 8 cm. How many jarfuls will fill the can? (5 mks)
- Find the the surface area of an isosceles triangular prism of length 25 cm ,height 4.5 cm and base 6 cm (5 mks)
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- Find the area of the sector of a circle of radius 3 cm if the angle subtended at the centre at the centre is 1400 .(Take pie=22/7) (4mks)
- A minor arc of a circle subtends an angle of 1050 at the centre of the circle.If the radius of the circle is 8.4 cm,find the length of the major arc (3 mks)
- Calculate the surface area of a rectangular tank measuring 5.4 cm long,3.6 cm width and 1.8 cm high. (3 mks)
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- All prime numbers less than ten are arranged in descending order to form a number
- Write down the number formed (2 mks)
- State the total value of the second digit in the number formed in a(i) above (2 mks)
- The lengths of wires were 30 m,36 m and 84 m.Pieces of wire of equal length were cut from the three wires. Calculate the least number of pieces obtained. (6 mks)
- All prime numbers less than ten are arranged in descending order to form a number
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- When a certain number is divided by 30,45 or 54 there is always a remainder of 21.Find the number (4 mks)
- A square toilet is covered by a number of whole rectangular tiles of sides 60 cm by 48 cm. Calculate the least possible area of the room in square metres (3 mks)
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- Express 1050 in terms of its prime factors (1 mk)
- Determine the smallest positive number such that 1050P is a perfect square (2 mks)
- The following figure represents a piece of land . The two ends are semicircles of radius 70m each.
- Calculate
- The perimeter of the land (2mks)
- The area of the land in hectares (3mks)
- A private developer bought this piece of land at a price of Ksh 5,000,000 per hectare and later sold the all land at Kshs. 14,760,000. Determine
- The price at which he bought the whole piece of land (2mks)
- His percentage profit (3mks)
- Calculate
Marking Scheme
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Download Mathematics Form 1 Questions and Answers - Term 3 Opener Exams 2021.
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