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Questions (154)

Find the reciprocale of 0.342. Hence evaluate:(�ã0.0625)/0.342
1. 1 answer
2. 436 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. 1 answer
2. 641 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. 434 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. 599 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. 1 answer
2. 571 views
Velocity V ms, of a moving body at time t seconds is given by V = 5t^2 -12t + 7
1. 0 answers
2. 482 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. 2 answers
2. 481 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. 1 answer
2. 2,627 views
Find the value of θ between 0° and 360° satisfying the equation 5 sin θ = 4
1. 1 answer
2. 508 views
The curve y= ax^3 -3x^2 -2x + 1 has the gradient 7 when x = 1. Find the value of a.
1. 1 answer
2. 1,792 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. 482 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. 1 answer
2. 939 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. 5 answers
2. 3,895 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. 3 answers
2. 889 views
The third and fifth term of an arithmetic progression are 10 and-10 respectively.a)Determine the first and the common difference
1. 2 answers
2. 2,298 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. 0 answers
2. 470 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. 4 answers
2. 2,158 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. 1 answer
2. 630 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. 2 answers
2. 929 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. 411 views
Solve the equation sin 5/2¦È = -1/2 for 0¡ã ¡Ü 0 ¡Ü 180¡ã
1. 4 answers
2. 1,024 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. 489 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. 5 answers
2. 677 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. 2 answers
2. 948 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. 3 answers
2. 2,035 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. 0 answers
2. 835 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. 0 answers
2. 1,124 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. 455 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. 0 answers
2. 397 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. 785 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. 0 answers
2. 436 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. 3,406 views
The first, the third and the seventh terms of an increasing arithmetic progression are three consecutive terms of a geometric
1. 4 answers
2. 3,854 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. 2 answers
2. 2,129 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. 1 answer
2. 918 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. 3 answers
2. 1,125 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. 3 answers
2. 1,097 views
Three pupils John, Daniel and David contributed a total of $400 for a party. John contributed $30 more than Daniel while, David
1. 1 answer
2. 677 views
Samuel, Elis and David sell newspapers. One day David sold 20 newspapers more than Elis who sold 10 newspapers more than Samuel.
1. 2 answers
2. 655 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. 2 answers
2. 842 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. 3 answers
2. 1,134 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. 1 answer
2. 607 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. 4 answers
2. 1,158 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. 1 answer
2. 538 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. 1 answer
2. 1,036 views
Three pupils John, Daniel and David contributed a total of $400 for a party. John contributed $30 more than Daniel while, David
1. 1 answer
2. 677 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. 459 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. 1 answer
2. 589 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. 4 answers
2. 1,264 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. 1 answer
2. 547 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. 1 answer
2. 589 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. 1 answer
2. 663 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. 3 answers
2. 1,035 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. 1 answer
2. 636 views

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