Contains Mathematics Exams
KIRINYAGA WEST SCHOOL BASED EXAMINATION, 2025 Kenya Certificate of Secondary Education 121/1 MATHEMATICS Paper 1 JULY / AUGUST 2025 2Β½ hours SECTION I (50 MARKS) ANSWER ALL THE QUESTIONS IN THIS SECTION. 1. Without using mathematical tables or a calculator, evaluate (3mks) 0.015+0.45 Γ· 15 4.9 π₯ 0.2+ 0.37 2π₯ 2 β98 2. Simplify (3mks) 3π₯ 2 β16π₯β35 3. A line L1 passes through point (1,2) and has a gradient of 5. Another line L2, is perpendicular to L1 and meets it at a point where x = 4. Find the equation for L2 in the form y = mx + c (3mks) 1 1 4. Given that Sin ( x + 45) β Cos (1 x) = 0,
BOKAKE CLUSTER EXAMINATIONS END OF TERM 2, 2025. Kenya Certificate of Secondary Education (K.C.S.E) 121/1 MATHEMATICS TIME: 2Β½ HOURS INSTRUCTIONS TO CANDIDATES 1) This paper consists of two sections I and II. 2) Answer all the questions in section I and only five in questions from section II. 3) Show all steps in your calculations, giving your answers at each stage in the spaces provided. 4) Marks may be given for correct working even if the answer is wrong. 5) Non-programmable silent electronic calculators and KNEC mathematical tables may be used expect when stated otherwise SECTION I (50 MARKS) 1. Without using a calculator or a mathematical table, evaluate. (3marks) 1 1 1ο¦ 1 2οΆ of 3 + 1 ο§ 2 β ο· 2 2 2ο¨ 2 3οΈ 3 1 1 of 2 οΈ 4 2 2 2. Three bulbs are programmed at intervals of 35, 45 and 65 seconds. What is the earliest time they will light up simultaneously if the last time they did this was at 10.17am? (3marks) 0 0 3. Two interior angles of an irregular polygon are each 144 the rest are 132 .Find the number of sides of the polygon. (3marks) 4. Use logarithm tables to evaluate. (4marks) 10332 (31.4 ) 2
EMUHAYA JOINT EVALUATION TEST β 2025 Kenya Certificate of Secondary Education (K.C.S.E) 121/1 MATHEMATICS PAPER 1 2Β½ HRS INSTRUCTIONS TO CANDIDATES. 1. The paper contains two sections: Section I and II. 2. Answer all questions in section I and strictly five questions from section II. 3. Show all the steps in your calculations, giving your answers at each stage in the spaces below each question. 4. Marks may be given for correct working even if the answer is wrong. 5. Non- programmable silent electronic calculators and KNEC mathematical tables may be used. SECTION I (50 MARKS) Answer all the questions in this section. 1. HIV/AIDs awareness posters have been erected along both sides of a street in Nairobi. The posters are 60m apart along the left-hand side of the street while they are 75M, a part along the right-hand side. At one end of the street the posters are directly opposite each other. At what distance measured from that end would you again find them directly opposite each other. (3marks) 2. Use tables of squares, square roots and reciprocals to evaluate.
GATUNDU SOUTH JOINT EXAMINATION FORM FOUR END OF THE TERM TWO EXAMINATION, 2025 121/1 MATHEMATICS PAPER 1 JULY, 2025 Time: 2Β½ Hours SECTION 1 (50 marks) Answer all the questions in this section. 1 2 3 4 1 4 2 ππ 1 β5 1.Evaluate: 2.The interior angle of a regular polygon is 20o more than three times the exterior angle. Determine the number of sides of the polygon (2marks) Name the polygon. (1 mark) An electrician made a loss of 30% by selling a multi plug at sh.1400.what percentage profit would he has made if he sold the multi plug at sh. 2300. (3mks) 0 Given that sin (90-x) = 0.8, where x is an acute angle, find without using mathematical table the value of 2 tan x + cos(90-x) (3marks) 4 2 Two numbers t and s are such that t x s = 5625. Find t and s (3mks) Find the obtuse angle the line with equation 2y+5x+2=0 makes with the x-axis. (3mks) Simplify the expression (3mks)
A.C.K DIOCESE OF MUMIAS JOINT EVALUATION JULY 2025 Kenya Certificate of Secondary Education [K.C.S.E] 121/1 MATHEMATICS ALT A PAPER 1 π DURATION: 2π HOURS INSTRUCTIONS TO THE CANDIDATES β’ This paper consists of two sections section I and section II. β’ Answer all question in section I and only five in section II. β’ Show all steps in your calculations. Giving your answer at each stage in the spaces provided below each question. β’ Marks may be given for correct working even if the answer is wrong. β’ Non programmable silent electronic calculators and KNEC tables may be used except where stated otherwise. SECTION I (50MKS) 1. Evaluate without using mathematical table or calculators. (3mks) 0.036Γ0.0049 0.07Γ0.048 2. Find π₯ if 32π₯+3 + 1 = 28 (2mks) 3. Simplify the expression completely. (3mks) 2 2 6π₯ π¦ β20π₯π¦β16 2π₯π¦β8 4. A triangular vegetable garden has an area of 28ππ2 . T
KIRINYAGA CENTRAL END OF TERM 2 EXAMINATIONS, 2025 Kenya Certificate of Secondary Education 121/1 MATHEMATICS Paper 1 JULY / AUGUST 2025 2Β½ hours SECTION I (50 MARKS) Answer all the questions in this section. 1. Evaluate; β12 Γ· (β3)π₯ 4β(β20) (3mks) β6 π₯ 6 Γ· (β6) 2. The exterior and interior angles of a regular polygon are (x + 10)0 and (3x + 50)0 respectively. Calculate the sum of interior angles of the polygon. (3mks) 3. Solve for x and y. (3mks) x y 4 x4 =1 3 2x-y = 81 4. Use the tables of squares, reciprocals and cubes to evaluate:
CEKENAS END OF TERM ONE EXAMINATION, 2025 Kenya Certificate of Secondary Education (K.C.S.E) 121/1 MATHEMATICS PAPER 1 TIME: 2Β½ HOURS INSTRUCTIONS TO CANDIDATES 1. This paper consists of two sections I and II. 2. Answer all the questions in section I and only five in questions from section II. 3. Show all steps in your calculations, giving your answers at each stage. 4. Marks may be given for correct working even if the answer is wrong. 5. Non-programmable silent electronic calculators and KNEC mathematical tables may be used expect when stated otherwise SECTION I Answer all the questions in this question 1. Evaluate. (3marks) β2 ο¦ ο¦ 3 5οΆ 2 οΆ ο§ ο§1 β ο· ο΄ ο· ο§ ο¨ 7 8οΈ 3 ο· ο§3 5 4 1ο· ο§ + 1 οΈ of 2 ο· 7 7 3οΈ ο¨4 2. Four years ago, a father was thrice as older as his son. In five yearsβ time, the sum of their ages will be 42 years. Find how old the father was, when the son was born. (3marks) 3. Use the prime factors of 1936 and 1728 to evaluate.
MARANDA HIGH SCHOOL, THE MOCK EXAMINATIONS, 2025 Kenya Certificate of Secondary Education 121/1 MATHEMATICS PAPER 1 May/June, 2025 TIME: 2Β½ Hrs Instructions to candidates: a) This paper consists of two sections: Section I and Section II. b) Answer all the questions in Section I and only five questions from Section II. c) Show all the steps in your calculations, giving your answers at each stage. d) Marks may be given for correct working even if the answer is wrong. e) Non-programmable silent electronic calculators and KNEC Mathematical tables may be used, except where stated otherwise. SECTION I (50 marks) Answer all the questions in this section. 1. Solve for T in the equation 1 T 4 2 = 1 3 15Γ·3 of 24β10 5 22 2 + Γ111 6 39 . (4 marks) 2. A motorist travelling at a steady speed of 120 km/h covers a section of a highway in 10minutes. To minimize accidents a speed limit is imposed. Travelling at the maximum speed allowed, the motorist takes 5 minutes longer to cover the same section. Calculate the speed limit imposed. (3 marks) 3. The figure below shows a cyclic quadrilateral ABCD inside a circle of centre and angle ADC=1130.
EASTERN CLUSTER EVALUATION-2025 KENYA CERTIFICATE OF SECONDARY EDUCATION (K.C.S.E) 121/1 MATHEMATICS PAPER 1 JULY/AUGUST, 2025 TIME: 2Β½ HOURS SECTION I: ATTEMPT ALL THE QUESTIONS 1. Without using mathematical tables or a calculator, evaluate the following leaving your answer in π the form βπ where p and q are integers. (2 marks) 0.084 Γ3.9 Γ0.3 5.2 Γ0.012 Γ2.1 2. 3. Find the mean, mode and median of the following data. (3 marks) 8, 9, 7, 8, 6, 10, 5, 11, 8, 6, 7 Using tables of reciprocals, square roots and cubes and giving your answer correct to 2 decimal places, evaluate 2 12.56 + β0.12 β (0.25)3 5π₯π¦β2π₯ 2 +12π¦ 2 (4 marks) 4.Simplify the expression 5.During a clearance sale, a salesman sold an item to a customer at Sh 2850 after allowing a discount of 5% on the marked price. The marked price of the item was 75% of the actual cost of the item. Determine the percentage loss incurred by the salesman. (3 marks) The line π¦ = ππ₯ + 6 makes an angle of 75.99Β° with the π₯ β ππ₯ππ . Find the coordinates of the point where the line cuts the π₯ β ππ₯ππ .
MANGβU HIGH SCHOOL TRIAL 4 MOCK, 2025 Kenya Certificate of Secondary Education 121/1 MATHEMATICS PAPER 1 TIME: 2Β½ HOURS SECTION I (50 Marks) Answer all the questions in this section 3 1. A man withdrew some money from a bank. He spent of the money on his daughterβs school fees 10 3 and of the remainder on his sonβs school fees. If he remained with Ksh 10 500, calculate the 5 amount of money he spent on sonβs school fees. (3 marks) 2. Solve for π₯ (3 marks) (π₯+1) (2π₯+1) 9 +3 = 108 3. The volumes of two similar solid spheres are 4752 cm3 and 1408 cm3. If the surface area of the smaller sphere is 352 cm2, find the surface area of the larger sphere. (3 marks) 4. The figure below represents a sketch of the cross β section of a solid ABCDEFGH and its edge CF. Complete the sketch of the solid showing the hidden edges using dotted lines.
KIGUMO SUBCOUNTY CLUSTER EXAMINATION, 2025 END OF TERM TWO Kenya Certificate of Secondary Education 121/1 MATHEMATICS PAPER 1 TIME: 2Β½ HOURS SECTION I (50 MARKS) Answer ALL questions in this section 1. Use logarithm tables to evaluate; (4 marks) 2. The image of a point Q (1,2) after a translation is Q1(-1,2). What is the co-ordinate of the point R whose image is R1(-3, -3) after undergoing the same translation? (3 marks) 3. The current price of a car is shs.500,000. Given that its depreciation rate is 15% p.a. Find the number of years it will take for its value to fall to shs 180, 000. (3 marks) 4. If P varies directly as r and inversely as the square root of q. Find the percentage change in P if r increase by 40% and q decrease by 36% (4marks) 5. The GCD and the LCM of four numbers are 6 and 1080. Three of the numbers are 24, 30 and 36. Find the minimum possible value of the third number. (3 marks) 6. Mary is now four times as old as her daughter and six times as old as her son. twelve years from now, the sum of the ages of her daughter and the son will be less than her age by nine years. What is Maryβs present age? (3 marks) 7. Pipe x can fill an empty tank in 3 hours while pipe y can fill the same tank in 6 hours. When the tank is full, it can be emptied by pipe z in 8 hours. pipe x and y are opened at the same time when the tank is empty. If one hour later pipe z is also opened, find the total time taken to fill the tank.
MOKASA I EXAMINATION Kenya Certificate of Secondary Education 121/1 MATHEMATICS Paper 1 March. 2025 2Β½ HOURS SECTION I (50 MARKS) Answer ALL questions in this section 1. Without using a calculator, evaluate; (3 marks) 1 1 1 1 2 ππ 3 + 1 (2 β ) 2 2 2 2 3 3 1 1 ππ 2 Γ· 4 2 2 2. Solve for x in the equation. (3 marks) (2x β 1) (2x β 1) 2 x 16 =1 3. A metallic solid cone has a base radius of 6.4 cm and slant height 15.8 cm. If the density of the 22 metal is 7.9 gβcm3 , calculate its mass in kg.(Take Ο= ) (3 marks) 7 4. Members of a group decided to raise KΒ£100 towards a charity by contributing equal amount. Five of them were unable to contribute. The rest had, therefore, to pay KΒ£1 more each to raise the same amount. How many members were in the group originally? (3 marks) 5. The LCM of three numbers is 1512 and their GCD IS 6. If two of the numbers are 54 and 72, find the least third possible number. (3 marks) 6. The exterior angle of a regular polygon is equal to one-third of interior angle. Calculate the number of sides of the polygon.
MURANGβA SOUTH END OF TERM ONE EXAMINATION, 2025 Kenya Certificate of Secondary Education 121/1 MATHEMATICS PAPER 1 TIME: 2Β½ HOURS SECTION I (50 Marks) Attempt all the questions in this section 1. Evaluate; (3 marks) β12Γ·(β3)Γ4β(β20) β6Γ6Γ·(β6) 2. 3. 4. 5. 6. a) b) 7. 8. 9. Solve the following expressions using substitution method. (3 marks) 3π₯ + 4π¦ = 3 π₯ + 6π¦ = 7 Solve for x; 9π₯ Γ 27π₯β1 = 1 (3 marks) 2 2 The surface area of two similar bottles are 12 ππ and 108 ππ respectively. If the larger one has a volume of 810 ππ3 , find the volume of the smaller one. (3 marks) Express 0.27 as fraction hence solve 0.27 β 0.14 (3 marks) The sum of interior angles of a regular polygon is 1 080Β° Find the size of each exterior angle. (2 marks) Name the polygon. (1 mark) Calculate the area of the figure below;
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