MEASURE PROBLEMS MSLS Contents 1 Planting lettuces. 1 2 Spliting the bill. 2 3 The perimeter of the shape. 3 4 Making equal two volumes. 4 5 Circular flower bed. 5 Name: School: Country: Sex: Male Female Age MSLS 1 Planting lettuces. Additional information Henry is a young farmer who produces lettuces. To obtain lettuces with the right dimensions and quality, he has to sow seed and later transplant them onto a larger plot of land that has to follow some rules. Henry wants to plant 300 000 lettuces. How many kilos of seeds, Henry should buy to get 300 000 transplantable lettuces? Item a b c d e • 100 seeds weigh 10 g, approximately. • Only 60% of sprouted seed are transplantable. • For a successful transplant, it must be kept space of 40 cm, on average, between each lettuce. Problem 1 Make a correct interpretation Use a graphical representation Make correct measure changes Calculate properly The final answer is correct YES NO MSLS 2 Spliting the bill. Lisa, Andrew and John travel back home and meet each other at the airport. They decide to share a taxi, because they live on the same route. The minimum fare is 300 cents of euro. When the taxi stops at Lisa’s house the taximeter marks 18.6 e. When Andrew gets out of the taxi it marks 24.90 e. Finally, at the end of the trip, at John’s house, the final price is 31.50 e. How much must each of the three friends pay for the taxi in cents of euro? Item a b c d e Problem 2 Make a correct interpretation Use a graphical representation Make correct measure changes Calculate properly The final answer is correct YES NO MSLS 3 The perimeter of the shape. The diagram shows a shape made of two semicircles and a rectangle. The rectangle’s weight is 30cm and the rectangle’s high is 0, 2m. Use π = 3.1416 to work out an estimate for the perimeter of the shape in decimeters dm. Item a b c d e Problem 3 Make a correct interpretation Use a graphical representation Make correct measure changes Calculate properly The final answer is correct YES NO MSLS 4 Making equal two volumes. h The diagram shows a sphere and a cone. The radius of the sphere is 4cm. The radius of the base of the cone is 60mm. The volume of the sphere and the volume of the cone are equal. Calculate the height, h, of the cone, in centimeters (cm). Some help: • Sphere volumen = 43 π · r 3 • Cone volumen = 13 π · r 2 · h Item a b c d e Problem 4 Make a correct interpretation Use a graphical representation Make correct measure changes Calculate properly The final answer is correct YES NO MSLS 5 Circular flower bed. D N C A M B Item a b c d e Figure is a sketch of a circular flower bed, which is inside a rectangular garden and which is tangent to the sides AB and CD of the garden in sections M, respectively N. We know that AB = 90dm and BC = 600cm Use π = 3.1416 to work out an estimate. Calculate the area of the flower bed in square metres (m2 ). Problem 5 Make a correct interpretation Use a graphical representation Make correct measure changes Calculate properly The final answer is correct YES NO
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