IB Questionbank Test



In this question give all answers correct to the nearest whole number.Fumie is going for a holiday to Great Britain. She changes 100 000 Japanese Yen (JPY) into British Pounds (GBP) with no commission charged.The exchange rate between GBP and JPY is 1 GBP = 129 JPY.Calculate the value of 100 000 JPY in GBP. At the end of Fumie’s holiday in Great Britain she has 239 GBP. She converts this back to JPY at a bank, which does not charge commission, and receives 30 200 JPY.Find the exchange rate of this second transaction.Determine, when changing GBP back to JPY, whether the exchange rate found in part (b)(i) is better value for Fumie than the exchange rate in part (a). Justify your answer.The first term, u1, of an arithmetic sequence is 145. The fifth term, u5, of the sequence is 113.Find the common difference of the sequence.The nth term, un, of the sequence is -7.Find the value of .The nth term, un, of the sequence is -7.Find S20, the sum of the first twenty terms of the sequence.Give all answers in this question correct to two decimal places.Arthur lives in London. On 1st August 2008 Arthur paid 37 500 euros (EUR) for a new car from Germany. The price of the same car in London was 34 075 British pounds (GBP).The exchange rate on 1st August 2008 was 1 EUR = 0.7234 GBP.Calculate, in GBP, the price that Arthur paid for the car.Write down, in GBP, the amount of money Arthur saved by buying the car in Germany. Between 1st August 2008 and 1st August 2012 Arthur’s car depreciated at an annual rate of 9% of its current value.Calculate the value, in GBP, of Arthur’s car on 1st August 2009.Between 1st August 2008 and 1st August 2012 Arthur’s car depreciated at an annual rate of 9% of its current value.Show that the value of Arthur’s car on 1st August 2012 was 18 600 GBP, correct to the nearest 100 GBP. Dumisani has received a scholarship of 5000 US dollars (USD) to study in Singapore.He has to travel from South Africa and must change USD for his air fare of 6600 South African rand (ZAR).The exchange rate is 1USD = 8.2421 ZAR.In this question give all answers correct to two decimal places.Calculate the number of USD that Dumisani must change to pay for his air fare.On arrival in Singapore, Dumisani changes 3000 USD to Singapore dollars (SGD) to pay for his school fees. There is a 2.8% commission charged on the exchange.Calculate the value, in USD, of the commission that Dumisani has to pay. The exchange rate is 1 USD = 1.29903 SGD.Calculate the number of SGD Dumisani receives. Ludmila takes a loan of 320 000 Brazilian Real (BRL) from a bank for two years at a nominal annual interest rate of 10%, compounded half yearly.Write down the number of times interest is added to the loan in the two years. Calculate the exact amount of money that Ludmila must repay at the end of the two years.Ludmila estimates that she will have to repay 360 000 BRL at the end of the two years.Calculate the percentage error in her estimate.Consider the sequence u1, u2, u3, …, un, … where u1=600, u2=617, u3=634, u4=651.The sequence continues in the same manner.Find the value of . Find the sum of the first 10 terms of the sequence. Now consider the sequence v1, v2, v3, …, vn, … where v1=3, v2=6, v3=12, v4=24.This sequence continues in the same manner.Find the exact value of . Now consider the sequence v1, v2, v3, …, vn, … where v1=3, v2=6, v3=12, v4=24.This sequence continues in the same manner.Find the sum of the first 8 terms of this sequence. In an arithmetic sequence, u5 is greater than u1. The difference between these terms is 36.Find the common difference, d. The tenth term of the sequence is double the seventh term.Write down an equation in u1 and d to show this information.Find u1.Ross is a star that is 82 414 080 000 000 km away from Earth. A spacecraft, launched from Earth, travels at 48 000 km h-1 towards Ross.Calculate the exact time, in hours, for the spacecraft to reach the star Ross.Give your answer to part (a) in years. (Assume 1 year = 365 days)Give your answer to part (b) in the form a×10, where 1 ≤ a < 10 and k∈Z.Consider the quadratic sequence -5, -12, -25, -44, …Write the explicit formula for the sequence.Write the recursive formula for the sequence. The length, in cm, of six baseball bats was measured. The lengths are given below.104.5, 105.1, 104.8, 105.2, 104.9, 104.9Calculate the exact value of the mean length. Write your answer to part (a) in the form a × 10 where 1 ≤ a < 10 and k∈Z. Marian calculates the mean length and finds it to be 105 cm.Calculate the percentage error made by Marian.A cuboid has the following dimensions: length = 8.7 cm, width = 5.6 cm and height = 3.4 cm.Calculate the exact value of the volume of the cuboid, in cm. Write your answer to part (a) correct toone decimal place;three significant figures.Write your answer to part (b)(ii) in the form a×10k, where 1≤a<10, k∈Z .Convert the following:0.025 L into mLb. 45 km into mmc. 25 m h-1 to km s-1 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download