DP Mathematical Studies Questionbank

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• 18M.2.sl.TZ2.5c: Giovanni adds a point D to his diagram, such that BD = 45 m, and another triangle is...
• 18M.2.sl.TZ2.5b: Find the percentage error on Giovanni’s diagram.
• 18M.2.sl.TZ2.5a.iii: Use Giovanni's diagram to find the length of BX, the horizontal displacement of the Tower.
• 18M.2.sl.TZ2.5a.ii: Use Giovanni's diagram to calculate the length of AX.
• 18M.2.sl.TZ2.5a.i: Use Giovanni’s diagram to show that angle ABC, the angle at which the Tower is leaning relative...
• 18M.1.sl.TZ2.15b: The total external surface area of the pencil case rounded to 3 significant figures is 570...
• 18M.1.sl.TZ2.15a: Find an expression for the slant height of the cone in terms of r.
• 18M.1.sl.TZ2.8b: Calculate the area of the park.
• 18M.1.sl.TZ2.8a: Calculate the length of side AC in km.
• 17N.1.sl.TZ0.3b: Find the distance from the Earth to Polaris in millions of km. Give your answer in the form...
• 17N.1.sl.TZ0.3a: Calculate the time, in minutes, it takes for light from the Sun to reach the Earth.
• 17M.2.sl.TZ1.1b.i: For the data from these seven species calculate \(r\), the Pearson’s product–moment correlation...
• 16M.1.sl.TZ2.11c: Dan is going to paint the curved surface and the base of the snack container. Calculate the area...
• 16M.1.sl.TZ2.11b: Calculate the area of the base of the container.
• 16M.1.sl.TZ2.11a: A snack container has a cylindrical shape. The diameter of the base is \(7.84\,{\text{cm}}\). The...
• 16M.1.sl.TZ2.9c: Use the line of best fit to estimate the number of cold drinks that are sold on a day when the...
• 16M.1.sl.TZ2.9b: Draw the line of best fit on the scatter diagram.
• 16M.1.sl.TZ2.9a: Each day a supermarket records the midday temperature and how many cold drinks are sold on that...
• 16M.1.sl.TZ2.6b: Calculate the area of the Bermuda triangle.
• 16M.1.sl.TZ2.6a: When Bermuda \({\text{(B)}}\), Puerto Rico \({\text{(P)}}\), and Miami \({\text{(M)}}\) are...
• 16M.1.sl.TZ2.3c: Calculate the obtuse angle made by the ladder with the ground.
• 16M.1.sl.TZ2.3b: Calculate the distance between the top of the ladder and the base of the wall.
• 16M.1.sl.TZ2.3a: A ladder is standing on horizontal ground and leaning against a vertical wall. The length of the...
• 10M.1.sl.TZ2.1a: Express this distance in metres.
• 10N.2.sl.TZ0.3f: The average speed of the bus while it is moving on the road is 70 km h–1. The bus stops for 5...
• 12M.1.sl.TZ1.3a: Calculate the exact time, in hours, for the spacecraft to reach the star Ross.
• 10M.2.sl.TZ2.4e: Find the number of kilograms of soil required for this garden bed.
• 11N.2.sl.TZ0.5b: In a revolution, C reaches points A and B , which are at the same height above the ground as the...
• 09M.2.sl.TZ2.3f: A layer of earth 3 cm thick is removed from ABD. Find the volume removed in cubic metres.
• 07M.2.sl.TZ0.2i.a: Calculate the volume of the cylinder in cm3. Give your answer correct to two decimal places.
• 07M.2.sl.TZ0.2i.b: The cylinder is used for storing tennis balls. Each ball has a radius of 3.25 cm. Calculate how...
• 07M.2.sl.TZ0.2i.c: (i) Jenny fills the cylinder with the number of balls found in part (b) and puts the lid on....
• 07N.2.sl.TZ0.2b: The glass weighs 9.3 grams per cm3. Calculate the weight of the pyramid.
• 08M.1.sl.TZ1.14b: Calculate how long Michael takes in seconds.
• 10M.2.sl.TZ1.4f: To calculate the cost of air conditioning, engineers must estimate the weight of air in the...
• 14M.2.sl.TZ2.2a: Using ‘distance = speed \( \times \) time’, show that the distance...
• 14M.2.sl.TZ2.2b: The distance from \({\text{B}}\) to \({\text{C}}\) is \(850\) metres. Running this part of the...
• 15M.2.sl.TZ1.4b: It is estimated that the fastest boat in the race can travel at an average speed of...
• 15M.2.sl.TZ2.2d: Temi covers the perfume bottles with a paint that costs 3 South African rand (ZAR) per...