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kudu

Questions and answers by kudu

Questions (154)

All prime numbers less than ten are arranged in descending order to form a Number.(a) Write down the number formed 2, 3, 5, 7
1. 7 answers
2. asked by kudu
3. 5,598 views
A businessman bought two bags of maize at the same price per bag. he discovered that one bag was of high quality and the other
1. 5 answers
2. 1,862 views
The second and fifth terms of a geometric progressions are 16 and 2 respectively. Determine the common ratio and the first term
1. 7 answers
2. 3,188 views
A cylinder of radius 14 cm contains water. A metal solid cone of base radius 7 cm and height 18cm is submerged into the water.
1. 6 answers
2. 1,953 views
The size of an interior angle of a regular polygon is 3x° while its exterior angle is (x- 20)°. Find the number of sides of
1. 5 answers
2. 3,327 views
Solve the equation sin (5/2θ) = -1/2 for 0°≤0 ≤ 180°sin(5/2θ) = -1/2 5θ/2 = -30 θ = -12 78, 168
1. 4 answers
2. 1,101 views
Evaluate6 log2 ∛64 +10log3 (243)^1/5)
1. 5 answers
2. 1,639 views
Given that log4 = 0.6021 and log6 = 0.7782, without using mathematical tables or calculate, evaluate log0.096.
1. 9 answers
2. 3,738 views
Evaluate6log2^3 √64+ 10log3^5 √243
1. 4 answers
2. 948 views
The water supply in a town depends entirely on two pumps. A and B. The probability of pump A filling is 0.1 and the probability
1. 4 answers
2. 1,203 views
The diagram shows MN segment graphed on a coordinate plane. Point P lies on MN segment and is 3/4 of the way from M to N. What
1. 5 answers
2. 5,014 views
A quantity T is partly constant and partly varies as the square root of s.a) Using constant a and b, write down an equation
1. 7 answers
2. 3,769 views
Two cylindrical containers are similar. The larger one has internal cross- section area of 45cm^2 and can hold 0.945 litres of
1. 4 answers
2. 1,518 views
The given cylindrical container r =3 inches and height= 8in is used to fill the rectangular prism fish tank 24 , 24 and 12
1. 4 answers
2. 6,833 views
A carpenter is constructing a triangular roof for a storage shed as shown in the figure.Part A isosceles triangle = 15 degrees
1. 4 answers
2. 2,831 views
A factory produced 65, 160 sweets. The sweets were packed in packets each holding sweets.The cost of each packet was $72. All
1. 2 answers
2. 563 views
Twenty-four 5-decilitre packets of milk were emptied into a 50-litre container. How many more such packets of milk were needed
1. 4 answers
2. 953 views
A shopkeeper bought cooking fat in 30 one kilogram packets and 20 five hundred packets. She repacked the fat in packets of 125
1. 2 answers
2. 589 views
John had mangoes. He ate 5 and shared the remaining among her 6 friends. He however found that he needed 2 more mangoes if each
1. 2 answers
2. 526 views
Three clocks were set to ring at intervals as follows:the first after every 6 minutes the second after every 15 minutes the
1. 2 answers
2. 488 views
Water gained heat at the rate of 12° Celsius per minute for 5 minutes. It was then allowed to lose heat at 4° Celsius per
1. 5 answers
2. 1,189 views
Otieno, Leila, Rotich and Furaha shared $840. Otieno got twice as much as Leila. Leila got three times as much as Rotich while
1. 4 answers
2. 514 views
AB = 8 cm, AC = 6 cm, AD = 7 cm, CD = 2.82 and CAB =50°. Find the length BC, angle ABC, angle CAD , area of triangle ACD.
1. 1 answer
2. 402 views
Three pupils John, Daniel and David contributed a total of $400 for a party. John contributed $30 more than Daniel while, David
1. 2 answers
2. 587 views
A clock was set on Monday at 8.30 a.m. On Tuesday, the following day, the clock showed 8.45 p.m. when the correct time was 8.30
1. 3 answers
2. 951 views
John and David had packets of tea to be packed into cartons. Each carton holds 46 packets. John packed 63 cartons and remained
1. 2 answers
2. 484 views
A rectangular container 45cm long and 25cm wide was full of water. After removing 22.5 liters of the water, the level of water
1. 5 answers
2. 1,083 views
In a group of 126 spectators the ratio of men to women was 3:4. What is the new ratio if 2 more men and 8 more women joined the
1. 3 answers
2. 538 views
A rectangular plot of land measures 40m by 30m. There is a wall on one of the longer sides. Four strands of wire are to be used
1. 4 answers
2. 1,052 views
The number of women passengers in a bus was X. The number of children in the bus was three times that of men passengers but was
1. 3 answers
2. 767 views
Samuel, Elis and David sell newspapers. One day David sold 20 newspapers more than Elis who sold 10 newspapers more than Samuel.
1. 3 answers
2. 572 views
Three pupils John, Daniel and David contributed a total of $400 for a party. John contributed $30 more than Daniel while, David
1. 2 answers
2. 601 views
A bus takes 195 minutes to travel a distance of (2x + 30) km at an average speed of (x – 20) km/h. Calculate the actual
1. 4 answers
2. 1,012 views
Water flows from a tap. At the rate 27cm3 per second, into a rectangular container of length 60cm, breathe 30 cm and height 40
1. 4 answers
2. 1,037 views
Two baskets C and D each contain a mixture of oranges and lemons. Basket C contains 26 oranges and 13 lemons. Basket D contains
1. 3 answers
2. 838 views
A solid cone of height 12cm and radius 9 cm is recast into a solid sphere. Calculate the surface area of the sphere.
1. 4 answers
2. 2,009 views
The first, the third and the seventh terms of an increasing arithmetic progression are three consecutive terms of a geometric
1. 6 answers
2. 3,701 views
Given that OA = 3i – 2j + k and OB = 4i – j – 3k. Find the distance between points A and B to 2 decimal places.
1. 1 answer
2. 387 views
The velocity V ms^-1, of a moving body at time t seconds is given V = 5t^2 – 12t + 7Calculate the acceleration when t = 2
1. 3 answers
2. 725 views
Given that OA = 3i – 2j + k and OB = 4i – j – 3k. Find the distance between points A and B to 2 decimal places.
1. 1 answer
2. 359 views
The velocity V ms^-1, of a moving body at time t seconds is given V = 5t^2 – 12t + 7Calculate the acceleration when t = 2
1. 1 answer
2. 400 views
A solid cone of height 12cm and radius 9 cm is recast into a solid sphere. Calculate the surface area of the sphere.cone V= 1/3
1. 1 answer
2. 1,016 views
Two Lorries A and B ferry goods between two towns which are 3120 km apart. Lorry A traveled at km/h faster than lorry B and B
1. 1 answer
2. 748 views
An employee started on a salary of £ 6,000 per annum and received a constant increment. If he earned a total of £ 32,400 by
1. 4 answers
2. 879 views
The cash price of a car is $25000. A customer paid deposits $ 3750. He repaid the amount owing in 24 equal monthly installments.
1. 6 answers
2. 595 views
Mary bought maize and beans from a wholesaler. She then mixed the maize and beans ratio 4:3, she bought the maize as $4 per kg
1. 1 answer
2. 429 views
Solve the equation sin 5/2¦È = -1/2 for 0¡ã ¡Ü 0 ¡Ü 180¡ã
1. 5 answers
2. 956 views
A and B are two matrices. If A=1 2 4 3 Find B given that A^2 = A +B
1. 1 answer
2. 358 views
A fruitier bought 144 pineapples at $10 for every six pineapples. Sh sold some of them at $12 for every three and the rest at $6
1. 4 answers
2. 840 views
The a hollow cylinder. The internal and external radii are estimated to be 6 cm and 8 cm respectively, to the nearest whole
1. 2 answers
2. 563 views
Two towns P and Q are 400 km apar. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one
1. 1 answer
2. 413 views
The third and fifth term of an arithmetic progression are 10 and-10 respectively.a)Determine the first and the common difference
1. 4 answers
2. 2,229 views
A point is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle elevation of
1. 4 answers
2. 799 views
A cylinder container of radius 15 cm has some water in it. When a solid submerged into the water, the water level rises 1.2 cm.(
1. 3 answers
2. 845 views
The position of two towns X and Y are given to the nearest degree as X(45° N, 10° W) and Y (45 N°, 70° W).Find (a) The
1. 1 answer
2. 430 views
The curve y= ax^3 -3x^2 -2x + 1 has the gradient 7 when x = 1. Find the value of a.
1. 4 answers
2. 1,736 views
Find the value of θ between 0° and 360° satisfying the equation 5 sin θ = 4
1. 1 answer
2. 452 views
A particle moves on a straight line. The velocity after t seconds is given by V= 3t^2 – 6t – 8.The distance of the particle
1. 3 answers
2. 2,491 views
Given that OA = 3i – 2j + k and OB = 4i + j – 3k. Find the distance between point A and B to 2 decimal places.
1. 3 answers
2. 428 views
Velocity V ms, of a moving body at time t seconds is given by V = 5t^2 -12t + 7
1. 1 answer
2. 434 views
A poultry farmer vaccinated 540 of his 720 chickens against a disease. Two months later, 5% of the vaccinated and 80% of the
1. 2 answers
2. 517 views
The length and breadth of a rectangular paper were measured to be the nearest centimeter and found to be 18 cm and 12 cm
1. 2 answers
2. 516 views
Shopping centers X, Y and Z are such that Y is 12 km south of X and Z is 15 km from X. Z is on a bearing of 330° from Y.
1. 1 answer
2. 376 views
The acceleration am/s^2 of a particle moving in a straight line is given by a = 18t – 4, where t is time in seconds. The
1. 2 answers
2. 565 views
Find the reciprocale of 0.342. Hence evaluate:(�ã0.0625)/0.342
1. 1 answer
2. 377 views
In a livestock research stations a new drug for a certain fowl disease is being tried. Samples of 36 fowls were diagnosed to
1. 2 answers
2. 493 views
The distance meters from a fixed point O, covered by a particle after t seconds given by the equation; S = t3 – 6t2 + 9t + 5.(
1. 3 answers
2. 540 views
A rectangular and two circular cut-outs of metal sheet of negligible thickness are used to make a closed cylinder. The
1. 3 answers
2. 670 views
A liquid spray of mass 384 g is packed in a cylindrical container of internal radius 3.2cm. Given that the density of the liquid
1. 4 answers
2. 919 views
A rally car traveled for 2 hours 40 minutes at an average speed of 120 km/h. The car consumes an average of 1 litre of fuel for
1. 2 answers
2. 517 views
Solve the inequality = 3- 2x ˂ x ¡Ü 2x + 5 and show the solution on the number line
1. 1 answer
2. 425 views
The area of a rhombus is 60cm^2. Given that one of its diagonals is 15 cm long, calculate the perimeter of the rhombus.
1. 7 answers
2. 2,136 views
A point R divides a line PQ internally in the ration 3:4. Another point S, divides the line PR externally in the ration 5:2.
1. 3 answers
2. 1,117 views
Given that sin (x +30)° = cos 2x° for 0°, 0° ≤ x ≤ 90° Find the value x. Hence find the value of cos^2 3x°.
1. 2 answers
2. 628 views
A particle moves along straight line such that its displacement S meters from a given point is S = t^3 – 5t^2 + 4 whee t is
1. 3 answers
2. 1,655 views
A square brass plate is 2 mm thick and has a mass of 1.05 kg. The density of the brass is 8.4 g/cm3. Calculate the length of the
1. 4 answers
2. 789 views
Find the value of θ between 0° and 360° satisfying the equation 5 sin θ = 4θ= sin-1(4/5) = 53.13, 143.13
1. 2 answers
2. 478 views
The Position of two A and B on the earth’s surface are (36°N, 49°E) and (360°N, 131°W ) respectively.(a) The difference in
1. 2 answers
2. 786 views
The length and breadth of a rectangular paper were measured to be the nearest centimeter and found to be 18 cm and 12 cm
1. 1 answer
2. 441 views
A line L1 passes through point (1, 2) and has gradient of 5. Another line L2, is perpendicular to L2 and meets it at a point
1. 6 answers
2. 3,091 views
Two teachers are chosen randomly from a staff consisting 3 women and 2 men to attend a HIV/AIDS seminar. Calculate the
1. 2 answers
2. 711 views
The length and breadth of a rectangular floor were measured and found to be 4.1 m and 2.2 m respectively. If possible error of
1. 4 answers
2. 866 views
Given that sinθ = 2/3 and is an acute angle.Find: Tanθ giving your answer in surd form θ = tan^(-1)⁡〖(2/√5)= 41.81°〗
1. 3 answers
2. 587 views
Three people Fatuma, Ali and Hassan contributed money to start a business.Fatuma contributed a quarter of the total amount and
1. 2 answers
2. 508 views
A triangular plot ABC is such that AB = 36m, BC = 40m and AC = 42 ma) Calculate the: i) Area of the plot in square meters
1. 2 answers
2. 518 views
Velocity V ms, of a moving body at time t seconds is given by V = 5t2 -12t + 7
1. 1 answer
2. 353 views
The distance between towns M and N is 280 km. A car and a lorry travel from M to N.The average speed of the lorry is 20 km/h
1. 2 answers
2. 675 views
A group of people planned to contribute equally towards a water project which needed Ksh 200,000 to complete, however, 40
1. 4 answers
2. 1,252 views
The length and breadth of a rectangular paper were measured to be the nearest centimeter and found to be 18 cm and 12 cm
1. 2 answers
2. 537 views
A man who can swim at 5km/h in still water swims towards the east to cross arriver. If the river flows from north to south at
1. 3 answers
2. 955 views
A salesman gets a commission of 2.4% on sales up to Shillings 100,000. He gets an additional commission of 1.5% on sales above
1. 4 answers
2. 1,314 views
The position vectors for points P and Q are 4 I + 3 j + 6 j + 6 k respectively. Express vector PQ in terms of unit vectors I, j
1. 2 answers
2. 746 views
If a fowl is treated, probability of dying is 1/10 while if not treated the probability is 7/10 calculate the probability that,
1. 1 answer
2. 446 views
A point (-5, 4) is mapped onto (-1, -1) by a translation. Find the image of (-4, 5) under the same translation.
1. 5 answers
2. 1,972 views
A rally car traveled for 2 hours 40 minutes at an average of speed pf 120km/h. The car consumes an average of 1 liter of fuel
1. 2 answers
2. 735 views
Given that log y = log (10^n) solve for n.
1. 1 answer
2. 337 views
A solid metal sphere of radius 4.2cm was melted and molten material used to make a cube. Find to 3 significant figures the
1. 4 answers
2. 1,155 views
An angle of 1.8 radians at the center of the circle subtends an arc of length 23.4cm.Find: (a) The radius of the circle (b) The
1. 4 answers
2. 1,439 views
Solve the equation: 2cos2θ = 1 for 0° ≤ θ ≤ 360.2θ = cos-1(1/2) 2θ = 60° θ= 30,210 330
1. 2 answers
2. 649 views
The Position of two A and B on the earth’s surface are (36°N, 49°E) and (36°N, 131°W ) respectively.(a) The difference in
1. 3 answers
2. 411 views

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