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A quantity P varies partly as Q and partly as the square root of Q, given that P=30 when Q=9, and P=14 when Q=16. Find P when Q=36.

answered Aug 13, 2021 in Mathematics Form 3

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A carpenter wishes to make, a ladder with 18 cross-pieces. The cross pieces are to diminish uniformly in lengths from 65cm at the bottom to 31cm at the top. Calculate the length in cm, of the eighth cross-piece from the bottom.

answered Aug 13, 2021 in Mathematics Form 1

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Solve for x in 2 +log7(3x-4) =log798

answered Aug 13, 2021 in Mathematics Form 1

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If OA = 3i + 2j – 4k and OB = 4i + 5j – 2k, P divides AB in the ratio 3:-2. Determine the modulus of OP leaving your answer to 1 decimal place. Given that O is the origin.

answered Aug 13, 2021 in Mathematics Form 1

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Given P, express q in terms of p and r

answered Aug 13, 2021 in Mathematics Form 3

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When Ksh. 60,000 was invested in a certain bank for 8years it earned a simple interest of Ksh. 14,400. Find the amount that must have been invested in the same bank at the same rate for 5years to earn a simple interest of Ksh. 12,000

answered Aug 13, 2021 in Mathematics Form 3

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Expand (1 + ¼ x)4

answered Aug 13, 2021 in Mathematics Form 3

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Find the radius and the coordinate of the centre of the circle whose equation is

answered Aug 13, 2021 in Mathematics Form 2

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A coffee dealer mixes two brands of coffee, x and y, to obtain 40kg of the mixture worth Ksh. 65 per kg. If brand x is valued at Ksh. 70 per kg and brand y at ks.55 per kg. Calculate the ratio, in its simplest form, in which the brands x and y are mixed

answered Aug 13, 2021 in Mathematics Form 1

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In the figure below, O is the centre of the circle which passes through the points T,C and D. Line TC is parallel to OD and line ATB is a tangent to the circle at T. Angle DOC = 380. Calculate the size of angle CTB

answered Aug 13, 2021 in Mathematics Form 1

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Without using a calculator or mathematical tables, express in surd form and simplify leaving your answer in the form a + b √c where a, b and c are rational numbers.

answered Aug 13, 2021 in Mathematics Form 2

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The length and width of a rectangular window pane measured to the nearest millimeter are 8.6cm and 5.3 respectively. Find to four significant figures, the percentage error in the area of the window pane.

answered Aug 13, 2021 in Mathematics Form 1

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The diagram below a circle, centre O. PQ is a tangent to the circle at Q and PTOR is a straight line. QRST is a cyclic quadrilateral in which angle RTS = 350 and RT and QS are diameters. Giving reasons for your answer, find the size of:

answered Aug 13, 2021 in Mathematics Form 2

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X, Y and Z are three quantities such that X varies directly as the square of Y and inversely as the square root of Z.

answered Aug 13, 2021 in Mathematics Form 3

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The length and breadth of a rectangle are given as (6x - 1) and (x -2) metres respectively. If the length and breadth are each increased by 4 metres, the new area is three times that of original rectangle.

answered Aug 13, 2021 in Mathematics Form 1

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The following measurement were recorded in a field book using XY as the baseline. XY = 400m.

answered Aug 13, 2021 in Mathematics Form 1

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The figure below shows two circles of radii 10.5 and 8.4cm and with centres A and B respectively. The common chord PQ 9cm.

answered Aug 13, 2021 in Mathematics Form 2

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Four towns P, R, T and S are such that R is 80km directly to the north of P and T is on a bearing of 290° from P at a distance of 65km. S is on a bearing of 330° from T and a distance of 30 km. Using a scale of 1cm to represent 10km, make an accurate scale drawing to show the relative position of the towns. Find:

answered Aug 13, 2021 in Mathematics Form 1

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The displacement, S metres of a moving particle from point O, after t seconds is given by: S = t3 – 5t2 + 3t + 10

answered Aug 13, 2021 in Mathematics Form 2

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A Matatu and a Nissan left town A for town B 240km away at 8.00am travelling at a speed of 90km/hr and 120 km/h respectively. After 20minutes the Nissan had a puncture which took 30minutes to mend.

answered Aug 13, 2021 in Mathematics Form 2

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