Problem 1 A laboratory technician pours a gel for electrophoresis with a rectangular area of 8 cm2. If the length is twice the breadth, determine the dimensions of the gel.

Problem 2 A student was checking their coursework scores for several modules. In the third module, they achieved 80 marks more than in the second module. In the first module, the student achieved 110 marks less than the third module. The total mark for the first two modules was 208. If they want an average mark of 146, what must they achieve on the fourth module?

Problem 3 When a red blood cell is pumped it moves a distance (in millimetres), in a given ? time, , (in seconds) described by the following equation:? ? = 0.005?2 + ?0? In this equation, is the initial velocity, in mm s?1. Distance is measured in millimetres ?0 and time is measured in seconds. Use the equation to find how long it takes a red blood cell to travel a distance of 1000 mm. The cell had an initial velocity of 4 mm s?1. (quadratic formula) To use the quadratic formula, the equation needs to be in form ??2 +?? + ?

Problem 4

the table below lists the times that a study participant takes to walk the given

Distance (km)	1	2	3	4	5	6
time (minutes)	5	10	15	20	25	30

Plot the points using excel. Find the equation that describes the relationship between time and distance. (This can be done on excel). Select a scatter plot - Go to the + sign to add chart element - Click the arrow beside trendline - click on more options Scroll to the bottom of the trendline options - Click the tick box to display equation on chart - copy the equation from the chart

Use the equation to answer the following questions: i. How long will it take the participant to walk 21 km? ii. How far will the participant walk in 7 minutes? If the participant was to walk half as fast as they are currently walking, what would the graph of their distances and times look like?

Problem 5 A wooden block is made as shown in the diagram. The ends are right-angled triangles having sides 3x, 4x and 5x. The length of the block is y. The total surface area of the block is 3600 cm2.