Maths Lit Worksheet - Estimating And Measuring

SAEP Matric Success – Zisukhanyo Maths Literacy Worksheet Tuesday 24th February 2009 Estimating and measuring 1. The size of a rectangular door is 1 995 mm x 802 mm x 40mm. a) convert the size to centimetre (cm) and then to metre (m). b) calculate the area of the door in square metres (m2) c) calculate the volume of the door in cubic centimetres (cm3) 2. The inside diameter of a cylindrical glass container is 65 mm and its depth inside is 95 mm. (V = πr2h for a cylinder) a) calculate the capacity of the container in millilitres (ml) b) how many times can this container be filled from a bottle containing 1,5 litres of cold drink? 3. The mass of 1 litre of cold water is 1 kg. a) calculate the mass (in kg) of 1,8 kl of water b) what is the mass of 1 ml of cold water? c) calculate the mass (in tonnes) of 0,05 km3 of water 4. The Marathon long distance run in athletics is 26,22 miles. Convert this distance to kilometres. 5. The altitudes at which aircraft fly are always measured in feet above sea level. If a big passenger airliner flies at an altitude of 35 000 ft, what height above sea level is this in metres? 6. The drawing below is a plan for making a window frame. a) convert the measurements to mm, correct to the nearest mm b) calculate the area of the lowest window pane in square inches and also in cm2

7. Calculate the perimeter and the area of the area of each of the following shapes:

8. The diagram below is an isometric view of a house. The roof is a symmetrical triangular prism. Calculate: a) the width (s) of the slanted part of the side of the roof b) the total area of the roof, correct to the nearest whole number of m2 c) the number (correct to the nearest ten) of roof tiles required to tile the roof if, on average, 9 tiles are required to cover every square metre of the roof d) the length of guttering required if gutters must be fitted along the lowest edges of the roof e) the area of the waterproof vynil required to cover the inside of the roof if you have to allow for an extra 10% of vinyl to allow for overlapping and cut-aways

9. A formal garden is in the form of a regular pentagon of which the side length is 14,6 ft and the distance from the centre O to the vertices is 12,4 ft. In the centre there is a round fountain with a radius of 2,4 ft. Calculate: a) the perimeter of the pentagonal garden in feet and in metres b) the perpendicular “height” (h) of the isosceles ΔORS c) the area enclosed by the pentagon in square feet d) the area occupied by the fountain in square feet e) the rest of the area of the garden in square metres