MATHEMATICAL STUDIES SL NUMBER ASSESSMENT 1. (a) Calculate . (1) (b) Express your answer to part (a) in the form × 10k, where a 1 < < 10 and . a k Є (2) (c) Juan estimates the length of a carpet to be 12 metres and the width to be 8 metres. He then estimates the area of the carpet. (i) Write down his estimated area of the carpet. (1) When the carpet is accurately measured it is found to have an area of 90 square metres. (ii) Calculate the percentage error made by Juan. (2) (Total 6 marks) The total weight of 256 identical pencils is 4.24 kg. Calculate the weight of one pencil, in kg. 2. (a) Give your answer exactly. (b) Give your answer correct to three significant figures. (c) Write your answer to part (b) in the form × 10k where 1 < 10 and . a ≤ a k Є (Total 8 marks) A problem has an answer of = 0.1265. 3. exact x (a) Write down the exact value of in the form where is an integer and 1 < < 10. x a×10k k a (b) the value of given correct to two significant figures. x (c) Calculate the percentage error if is given correct to two significant figures. x (Total 6 marks) 4. Let = 7.94. x (a) Calculate the value of . (b) (i) Give your answer correct to decimal places. (ii) Write your answer to (b)(i) as a percentage. (c) Give your answer to part (b)(i) in the form × 10k, where 1< <10, a a k (Total 6 marks) 5.
MATHEMATICAL STUDIES SL NUMBER ASSESSMENT 1. (a) Calculate . (1) (b) Express your answer to part (a) in the form a × 10k, where 1 < a < 10 and k Є . (2) (c) Juan estimates the length of a carpet to be 12 metres and the width to be 8 metres. He then estimates the area of the carpet. (i) Write down his estimated area of the carpet. (1) When the carpet is accurately measured it is found to have an area of 90 square metres. (ii) Calculate the percentage error made by Juan. (2) (Total 6 marks) 2. The total weight of 256 identical pencils is 4.24 kg. Calculate the weight of one pencil, in kg. (a) Give your answer exactly. (b) Give your answer correct to three significant figures. (c) Write your answer to part (b) in the form a × 10k where 1 ≤ a < 10 and k Є . (Total 8 marks) 3. A problem has an exact answer of x = 0.1265. (a) Write down the exact value of x in the form a×10k where k is an integer and 1 < a < 10. (b) the value of x given correct to two significant figures. (c) Calculate the percentage error if x is given correct to two significant figures. (Total 6 marks) 4. Let x = 7.94. (a) Calculate the value of . (b) (i) Give your answer correct to decimal places. (ii) Write your answer to (b)(i) as a percentage. (c) Give your answer to part (b)(i) in the form a × 10k, where 1< a <10, k (Total 6 marks) 5.