END OF YEAR EXAMINATION(EOYE) - May 2019
Candidate Name:
Subject : Mathematical Studies
Level : SL
Paper :1
Duration : 90 minutes
Date : 13th May, 2019
Max. Mark : 90
SUBJECT TEACHER
TIME TAKEN TO COMPLETE THE EXAM
Instructions to Candidates
• Use blue/black pen only.
• Show a neat sketch of the graph whenever needed with ALL NECESSARY DETAILS
ON IT.
• Unless stated otherwise all numerical answer should be given exactly or correct to
three significant figures, angles to 1 decimal place or according to the degree of
accuracy specified in the question.
CALCULATOR IS ALLOWED.
Additional Material: Graph paper, A copy of Mathematical Studies SL formula
booklet
This question paper consists of 17 printed pages( including cover page).
Page 1 of 17
,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. Write
your answers in 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. [Maximum mark: 6]
Using the formula V = r 2 ( H − h ), and your calculator value of , calculate the value of
V when r = 4.26, H = 21.58 and h = 14.35
(a) Give the answer as per the full calculator display. [2]
(b) Give your answer correct to 2 decimal places. [1]
(c) Give your answer correct to 2 significant figures. [1]
(d) Write your answer to part (c) in standard form. [2]
Working :
Answer:
(a)…………………….
(b)……………………..
(c)………………………
(d)……………………….
Page 2 of 17
, 2. [Maximum mark: 6]
The sides of a right angled triangle are x cm, (x+3) cm, and (x + 6) cm long.
a. Write a quadratic equation in x which links the three sides. [2]
b. Solve the equation. [2]
c. Hence find the area of the triangle. [2]
Working :
Answers:
a) …………………………..
b) …………………………..
c) ……………………………
Page 3 of 17
Candidate Name:
Subject : Mathematical Studies
Level : SL
Paper :1
Duration : 90 minutes
Date : 13th May, 2019
Max. Mark : 90
SUBJECT TEACHER
TIME TAKEN TO COMPLETE THE EXAM
Instructions to Candidates
• Use blue/black pen only.
• Show a neat sketch of the graph whenever needed with ALL NECESSARY DETAILS
ON IT.
• Unless stated otherwise all numerical answer should be given exactly or correct to
three significant figures, angles to 1 decimal place or according to the degree of
accuracy specified in the question.
CALCULATOR IS ALLOWED.
Additional Material: Graph paper, A copy of Mathematical Studies SL formula
booklet
This question paper consists of 17 printed pages( including cover page).
Page 1 of 17
,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. Write
your answers in 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. [Maximum mark: 6]
Using the formula V = r 2 ( H − h ), and your calculator value of , calculate the value of
V when r = 4.26, H = 21.58 and h = 14.35
(a) Give the answer as per the full calculator display. [2]
(b) Give your answer correct to 2 decimal places. [1]
(c) Give your answer correct to 2 significant figures. [1]
(d) Write your answer to part (c) in standard form. [2]
Working :
Answer:
(a)…………………….
(b)……………………..
(c)………………………
(d)……………………….
Page 2 of 17
, 2. [Maximum mark: 6]
The sides of a right angled triangle are x cm, (x+3) cm, and (x + 6) cm long.
a. Write a quadratic equation in x which links the three sides. [2]
b. Solve the equation. [2]
c. Hence find the area of the triangle. [2]
Working :
Answers:
a) …………………………..
b) …………………………..
c) ……………………………
Page 3 of 17