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The triangle ABC has vertices A (1, 2), B (2, 1) and C (2, 3). AI BI CI is the image of ABC under transformation given by the matrix

answered Jun 30, 2021 in Mathematics Form 3

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P varies directly as the cube of Q and inversely as the square root of R

answered Jun 30, 2021 in Mathematics Form 3

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The data below shows the heights of students in a class.

answered Jun 30, 2021 in Mathematics Form 4

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Using a ruler and a pair of compasses only for all constructions in this question.

answered Jun 30, 2021 in Mathematics Form 1

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The first, second and fifth terms of an arithmetic sequence are the first three consecutive terms of a geometric sequence. Find the common ratio

answered Jun 30, 2021 in Mathematics Form 3

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A contractor intends to transport 1,000 bags of cement using a lorry and a pick up. The lorry can carry a maximum of 80 bags while a pick up can carry a maximum of 20 bags. The pickup has to make more than twice the number of trips the lorry makes and the total number of trips has to be less than 30. The cost per trip is sh. 2,000 for the lorry and sh 900 for the pickup and the contractor wishes to minimize cost. Let x and y be the trips for the lorry and pickup respectively.

answered Jun 30, 2021 in Mathematics Form 3

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ABCD is a regular tetrahedron. AB=BC=CA=AD=BD=CD= 8cm.

answered Jun 30, 2021 in Mathematics Form 2

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Find the base radius of a cylindrical hole with maximum volume which can be drilled into a cone of height 16 cm and radius 12 cm as shown below.

answered Jun 30, 2021 in Mathematics Form 2

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Expand (1+2x/3)8 in ascending powers of x up to the fourth term. Hence use your expansion to evaluate (0.98)8 to three significant figures.

answered Jun 30, 2021 in Mathematics Form 3

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The equation of a circle is given by 2/3 x2 + 2/3 y2 - 4x+ 2 2/3 y - 2 = 0. Determine the centre and the radius of the circle.

answered Jun 30, 2021 in Mathematics Form 2

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Given that A (4, -2, 6) and B (-3, 1, -2) and that a point N divides AB in the ratio -2:7. Find the vector ON in terms of i, j and k.

answered Jun 30, 2021 in Mathematics Form 2

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Solve the following equation for 0 ≤ x ≤ 360 2cos⁡x = sin^2 x + 2

answered Jun 30, 2021 in Mathematics Form 2

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In the figure below, the chords CD and AB intersect externally at T. DT = 4 cm, BT = 3 cm and CD = 5 cm. calculate the length AB.

answered Jun 30, 2021 in Mathematics Form 3

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Triangle ABC is such that AB = 8 cm, BC = 11 cm and AC = 15 cm. calculate correct to 2 decimal places the; Angle ABC Radius of the circum circle

answered Jun 30, 2021 in Mathematics Form 3

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Express in surd form and simplify by rationalizing the denominator.

answered Jun 30, 2021 in Mathematics Form 3

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Make b the subject of the formula.

answered Jun 30, 2021 in Mathematics Form 3

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Form a quadratic equation whose roots are 2.5 + √3 and 2.5 - √3 giving your answer in the form ax2+bx+c=0 where a, b and c are integers

answered Jun 30, 2021 in Mathematics Form 3

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Solve the equation

answered Jun 30, 2021 in Mathematics Form 2

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If x = 9.6, y= 3.60 and z = 5, Find the percentage error in the calculation of (x+y)/z, giving your answer to three significant figures.

answered Jun 30, 2021 in Mathematics Form 3

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Find the selling price of 6 kg of a mixture of maize flour and millet flour if 4 kg of maize flour costing sh. 60 per kg is mixed with 6 kg of millet flour costing sh. 45 per kg and a profit of 20% is realized.

answered Jun 30, 2021 in Mathematics Form 3

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