Recent questions 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.

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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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.

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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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.

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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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

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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Express in surd form and simplify by rationalizing the denominator.

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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Make b the subject of the formula.

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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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

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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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.

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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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.

asked Jun 30, 2021 in Mathematics Form 3 by anonymous

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The table below shows the number of students in each class in a school. The percentage (%) of the students in each class who wear glasses is also shown.

asked Jun 18, 2021 in Mathematics Form 3 by anony mous

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The table below shows the income tax rates for a certain year

asked Jun 18, 2021 in Mathematics Form 3 by anony mous

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The position vectors of points P, Q and R are Show that points P. Q and R are collinear.

asked Jun 18, 2021 in Mathematics Form 3 by anony mous

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Solve the equation sin2θ - cos2θ = - 1/2 for 0°≤ θ ≤ 360°

asked Jun 18, 2021 in Mathematics Form 3 by anony mous

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The cash price of a cooker is Ksh 27 500. A customer opts to buy the cooker on hire purchase terms by paying a deposit of Ksh 17250. Determine the monthly rate of compound interest charged on the balance if the customer is required to repay by six equal monthly instalments of Ksh 2 100 each.

asked Jun 18, 2021 in Mathematics Form 3 by anony mous

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The mean of six numbers is calculated. The deviations of the numbers from the mean are -4.5. 3, 2. d, 1. Detemine the value of d and hence find the exact variance of the numbers.

asked Jun 18, 2021 in Mathematics Form 3 by anony mous

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In the figure below, O is the centre of the circle and N is a point on the circumference.

asked Jun 18, 2021 in Mathematics Form 3 by anony mous

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Expand the expression (1- 3/10 x)5 in ascending powers of x, leaving coefficient as fractions in their lowest form.

asked Jun 18, 2021 in Mathematics Form 3 by anony mous

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