IB Math Studies SL

Mathematical studies

Standard Level

Mock Midterm Exam Paper 1

Thursday 24 January 2019

1 class period

Instructions to Candidates

Do not open this test until instructed to do so

A graphic display calculator is required for this paper

Show all of your work for each question

Unless otherwise stated in the question, all numerical answers should be given exactly or correct

to three significant figures

A clean copy of the Mathematics SL formula booklet is required for this paper

The maximum mark for this examination paper is [33 marks]

Name:

IB Math Studies SL 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.

IB Math Studies SL

IB Math Studies SL

IB Math Studies SL

Based on the intervals, there are 20 (17 + 3) students who

are on or over 3800 words.

Percentage: 𝑝𝑎𝑟𝑡

𝑤ℎ𝑜𝑙𝑒=

%

100→

20

35=

𝑥

100→ 35𝑥 = 20(100) → 35𝑥 = 2000

𝑥 =2000

35= 57.142857%

𝟓𝟕. 𝟏𝟒𝟐𝟖𝟓𝟕% or 𝟓𝟕. 𝟏%

IB Math Studies SL

5. The graph of the quadratic function 𝑓(𝑥) = −1

2𝑥2 + 𝑏𝑥 + 𝑐 intersects the y-axis at point A (0, 5) and has its vertex at

point B (4, 13).

(a) Write down the value of c

(b) Write down the value of b.

(c) Write down the equation of the axis of symmetry for the quadratic function.

(d) Write down the coordinates of the x-intercepts.