Candidate session number
Mathematical studies Standard level
Paper 1
Monday 12 November 2018 (afternoon)
1 hour 30 minutes
Instructions to candidates
y Write your session number in the boxes above.
y Do not open this examination paper until instructed to do so.
y A graphic display calculator is required for this paper.
y A clean copy of the mathematical studies SL formula booklet is required for this paper.
y Answer all questions.
y Answers must be written within the answer boxes provided.
y Unless otherwise stated in the question, all numerical answers should be given exactly or correct to three significant figures.
y The maximum mark for this examination paper is [90 marks].
Maximum marks will be given for correct answers. Where an answer is incorrect, some marks may be given for a correct method, provided this is shown by written working. Answers must be written within the answer boxes provided. Solutions found from a graphic display calculator should be supported by suitable working, for example, if graphs are used to find a solution, you should sketch these as part of your answer.
1. The volume of a hemisphere, V , is given by the formula 4 3
243 V = S
π , where S is the total surface area.
The total surface area of a given hemisphere is 350 cm2. (a) Calculate the volume of this hemisphere in cm3.
.
Give your answer correct to one decimal place. [3]
(b) Write down your answer to part (a) correct to the nearest integer. [1]
(c) Write down your answer to part (b) in the form a × 10k, where 1 ≤ a < 10 and k ∈ . [2]
. [2]
Working:
Answers:
(a) . . . .
(b) . . . .
(c) . . . .
2. The histogram shows the lengths of 25 metal rods, each measured correct to the nearest cm .
0 1 2 3 4 5 6
frequency