Paper 2 Revision Materials Foreign Exchange Rates Constructions Trial and Improvement 1. A solution to the equation x3 – x – 10 = 0 lies between 2 and 3. Use a trial and improvement method to find this solution correct to 1 decimal place. [4] 2. A solution to the equation x 3  11x  396  0 lies between 6 and 7. Use the method of trial and improvement to find this solution correct to 1 decimal place. [4] Compound Interest and Depreciation Q1 Sally invests £2500 for 2 years at 7% per annum compound interest. What is the value of her investment after 2 years? Q2 [3] Michael bought a scooter for £800 on 1st January 2008. Every year the value of the scooter depreciates by 5% of its value at the start of the year. Find the value of the scooter on 1st January 2010. [4] Q3 Boris bought a car in Moscow for 251 850 Russian roubles. Each year, the value of Boris’s car depreciates by 10% of its value at the start of the year. At the end of two years, by how much has the value of Boris’s car depreciated? [4] Q4 Find the compound interest, to the nearest penny, when £6000 is invested for 3 years at 4% per annum. Percentages with a Caluculator Q1 Calculate 46% of 54. Q2 There are 140 pupils in Year 9 of which 77 are boys. Q3 [2] What percentage are boys? [2] Calculate 36% of 72. [2] Q4 The price of a digital radio, originally priced at £132, is increased by 12%. Calculate the increased price of the digital radio. [3] Q5 Moira scores 78 marks out of a possible 120 marks. What is Moira’s score as a percentage? [2] Household Bills Q1 Mr Lucas received an electricity bill from R.H.T. Electricity Company. The bill, with some of the entries removed, is shown below. Use the information given on the bill to complete all of the missing entries and calculate the total amount that Mr Lucas has to pay. [6] Q2 Mr Jones’ electricity account with Welsh Energy, with some of the entries removed, is shown below. He pays for his electricity by monthly direct debit payments. He gets a discount of £24.25 for paying in that way. Use the information given on the account to complete all of the missing entries and to calculate the balance in Mr Jones’ account. [6] Averages Q1 In a school the number of pupils in each year group is 90 83 75 81 78 51 53 a) Find the mean number of pupils in a year group. [3] b) Find the median number of pupils in a year group. [2] c) Find the range of the number of pupils in a year group. [1] Q2 A survey of cars is carried out. In this survey, sale values of 15 year-old cars are recorded. Calculate an estimate for the mean sale value. [4] Pie Charts Q1 A garage carries out a survey to find out the reason why 120 cars were brought into the garage. The results were as follows. Draw a pie chart to illustrate these results. You should show how you calculate the angles of your pie chart. [4] Q2 Pythagoras Q1 Find the length of AC. Give your answer to an appropriate degree of accuracy. [4] Q2 XYZ is a right-angled triangle in which XY = 7.3 m and ZY = 4.8 m. Calculate the length of XZ. [3] Q3 Estimation and Scale Q1 You must give full details of your working. The above picture shows a man and a dinosaur. [4] a) Write down an estimate for the actual height of the man. b)Using this estimate for the height of the man, estimate the actual height of the dinosaur. Scatter Graphs Algebra Q6 a) Simplify 5a + a + 3a. b) Simplify 3r – 4t + 6r + 7t. Q7 (a) Expand c (3c – 5). [1] b) Expand and Simplify 4(2d – 3) + 3(5 – 7d). [2] c) Factorise 2a – 6. [1] d) Factorise y2 – 4y Q8 (a) Peter buys x sweets and Mary buys 6 sweets. Write down, in terms of x, the total number of sweets they buy. [1] (b) Rulers cost 25 pence each. Write down, in terms of y, the cost of y rulers. [1] (c) A car is b metres long and a second car is 2 metres shorter than it. Write down, in terms of b, the length of the second car. [1] Q9 (a) Solve (i) 4x = 24, [2] (ii) x + 6 = 14. Q10 Solve 6x – 7 = 11. [3] Q11 Solve 7x + 4 = 3x + 28. [3] Q12 Solve 7x – 13 = 3(x – 1). [3]