Recent questions 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.

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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1 answer

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

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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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

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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1 answer

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.

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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1 answer

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.

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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1 answer

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

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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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:

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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A businessman makes a profit of 20% when he sells a carpet for Ksh. 36000. In a trade fair he sold one such carpet for Ksh. 33600. Calculate the percentage profit made on the sale of the carpet during the trade fair.

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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1 answer

In Blessed Church Choir the ratio of males to females is 2:3. On one Sunday service ten male members were absent and six new female members joined the choir as guests for the day. If on this day the ratio of males to females was 1:3, how many regular members does the choir have?

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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The sum of digits in a two digit number is 16. When the number is subtracted from the number formed by reversing the digits the difference is 18. Find the number.

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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The gradient of a straight line L1, passing through the point P (3, 4) and Q (a, b) is -3/2. A line L2 is perpendicular to L1 through Q and R (2, -1). Determine the values of a and b.

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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A tourist arrived in Kenya with sterling pound (£) 4680 all of which he exchanged into Kenyan money. He spent Ksh.51790 while in Kenya and converted the rest of the money into US dollars. Calculate the amount he received in US dollars. The. Exchange rates were as follows.

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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Two pipes A and B can fill an empty tank in 3hrs and 5hrs respectively. Pipe C can empty the tank in 4hrs. If the three pipes A, B and C are opened at the same time find how long it will take for the tank to be full.

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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A liquid spray of 384g is packed in a cylindrical container of internal radius 3.2cm. Given that the density of the liquid is 0.6g/cm3, calculate to 2 decimal places the height of the liquid in the container.

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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1 answer

A famer has a piece of land measuring 840m by 396m. He divides it into square plots of equal sizes. Find the maximum area of one plot.

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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1 answer

Solve for X in the equation.

asked Aug 13, 2021 in Mathematics Form 1 by anonymous

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1 answer

Use the divisibility test to test whether 97410 is divisible by 8.

asked Aug 11, 2021 in Mathematics Form 1 by anonymous

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1 answer

A man was born in 1966. His father was born in 1928 and the mother three years later. If the man’s daughter was born in 1992 and the son five years earlier, find the difference between the age of the man’s mother and that of his son.

asked Aug 11, 2021 in Mathematics Form 1 by anonymous

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2 answers

Work out the following using a number line.

asked Aug 11, 2021 in Mathematics Form 1 by anonymous

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1 answer

Work out the following using a number line.

asked Aug 11, 2021 in Mathematics Form 1 by anonymous

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