Foundation Check In - 6.02 Algebraic formulae Given and v > 0, find the value of v when , and . Give your answer to 2 significant figures. Rearrange the formula to make v the subject of . A taxi charges an initial £2.50 plus £1.20 per mile travelled. Write an expression for the cost, C, of a taxi journey of m miles. Rearrange the formula to make u the subject of . Find the acceleration of a ball that goes from rest to 5 m/s in 2 seconds. Show that a triangle which has a base of 12 cm, perpendicular height of 16 cm and diagonal side of 20 cm is a right-angled triangle. Tia states that the value of when and is 6. Explain why she is wrong. Show that the base length of the right-angled triangle below is 120 mm. The volume of a sphere is 1400 cm3. A cone has the same volume and the same size radius as the sphere. Work out the height of the cone, giving your answer to 3 significant figures. [The volume v of a sphere with radius r is .] [The volume v of a cone with radius r and perpendicular height h is .] Cara has £160 to spend on a birthday celebration with her family. She pays £75 for a magician to entertain at the event and she plans to buy each adult an alcoholic drink for £4.50 and each child a bottle of juice for £1.75. Write an expression to find how much money Cara will have remaining after x adults and y children attend the birthday celebration. If seven adults attend the event, what is the maximum number of children that could attend? Extension A group of sixth form students are planning to run an end of term disco. The local youth club offers its hall for hire for £120 per evening. The students think they will have a maximum of 80 people attending the disco and they want to offer refreshments costing £6 per person. The ticket price needs to cover the cost of running the disco.
Foundation Check In - 6.02 Algebraic formulae Given and v > 0, find the value of v when , and . Give your answer to 2 significant figures. Rearrange the formula to make v the subject of . A taxi charges an initial £2.50 plus £1.20 per mile travelled. Write an expression for the cost, C, of a taxi journey of m miles. Rearrange the formula to make u the subject of . Find the acceleration of a ball that goes from rest to 5 m/s in 2 seconds. Show that a triangle which has a base of 12 cm, perpendicular height of 16 cm and diagonal side of 20 cm is a right-angled triangle. Tia states that the value of when and is 6. Explain why she is wrong. Show that the base length of the right-angled triangle below is 120 mm. The volume of a sphere is 1400 cm3. A cone has the same volume and the same size radius as the sphere. Work out the height of the cone, giving your answer to 3 significant figures. [The volume v of a sphere with radius r is .] [The volume v of a cone with radius r and perpendicular height h is .] Cara has £160 to spend on a birthday celebration with her family. She pays £75 for a magician to entertain at the event and she plans to buy each adult an alcoholic drink for £4.50 and each child a bottle of juice for £1.75. Write an expression to find how much money Cara will have remaining after x adults and y children attend the birthday celebration. If seven adults attend the event, what is the maximum number of children that could attend? Extension A group of sixth form students are planning to run an end of term disco. The local youth club offers its hall for hire for £120 per evening. The students think they will have a maximum of 80 people attending the disco and they want to offer refreshments costing £6 per person. The ticket price needs to cover the cost of running the disco.
287392-foundation-topic-check-in-6.02-algebraic-formulae.docx