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The mass of maize flour to the nearest 10 grams is 8. 67kg. Determine the percentage error in this measurement. (3marks)
In this question Mathematical Tables should not be used
The base and perpendicular height of a triangle measured to the nearest centimetres are 6 cm and 4 cm respectively. Find (a) The absolute error in calculating the area of the triangle (b) The percentage error in the area, giving the answer to 1 decimal place (2mks)
Answers
Form 3 Mathematics
The length and width of a rectangular piece of paper were measured as 60 cm and 12 cm respectively. Determine the relative error in the calculation of its area.
ANSWER
Form 3 Mathematics
The lengths of two similar iron bars were given as 12.5m and 9.23m. Calculate the maximum possible difference in length between the two bars.
answer
Form 3 Mathematics
The base and height of a right angled triangle were measured as 6.4cm and 3.5 cm respectively. Calculate the maximum absolute error in the area of the triangle.
answer
Form 4 Mathematics
The table below shows the values of x and corresponding values of y for a given curve.
a) Use the trapezium rule with seven ordinates and the values in the table only to estimate the area enclosed by the curve, x – axis and the line x = П/2 to four decimal places. (Take П = 3.142) b) The exact value of the area enclosed by the curve is known to be 0.8940.Find the percentage error made when the trapezium rule is used. Give the answer correct to two decimal places.
Answer
Form 3 Mathematics
The radius of a spherical ball is measured as 7 cm, correct to the nearest centimeter. Determine, to 2 decimal places, the percentage error in calculating
the surface area of the ball.
answer
Form 3 Mathematics
The sides of a triangle were measured and recorded as 8 cm, 10 cm and 15 cm. Calculate the percentage error in perimeter, correct to 2 decimal places.
Answer
Form 3 Mathematics
A square room is covered by a number of whole rectangular slabs of sides 60cm by 42 cm. Calculate the least possible area of the room in square rnetres.
answer
Form 3 Mathematics
The length and width of a rectangle measured to the nearest millimeter are 7.5 cm and 5.2 cm respectively.
Find, to four significant figures, the percentage error in the area of the rectangle.
answer
Form 3 Mathematics
The top of a table is a regular hexagon. Each side of the hexagon measures 50.0 cm. Find the maximum percentage error in calculating the perimeter of the top of the table.
answer
Form 3 Mathematics
A rectangular block has a square base whose side is exactly 8 cm. Its height measured to the nearest millimeter is 3.1 cm
Find in cubic centimeters, the greatest possible error in calculating its volume.
answer
Form 3 Mathematics
By correcting each number to one significant figure, approximate the value of 788 x 0.006. Hence calculate the percentage error arising from this approximation.
answer
Form 3 Mathematics | Topical Questions and Answers
The length and breath of a rectangular paper were measured to be the nearest centimetre and found to be 18 cm and 12 cm respectively.
Find the percentage error in its perimeter.
ANSWER
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
The length and breath of a rectangular floor were measured and found to be 4.1 m and 2.2 m respectively. If possible error of 0.01 m was made in each of the measurements, find the:
answer
 The radius of circle is given as 2.8 cm to 2 significant figures ANSWER
(b) Work out the exact value of R
\[\frac{1}{0.003146 - 0.003130}\]
K.N.E.C Marking Scheme
The table below shows some values of the function y = x2 + 2x - 3
MARKING SCHEME
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