Name
Teacher

YEAR 10MYP MATHEMATICS SEMESTER 2 EXAM

2016

PAPER 1

TECHNOLOGY FREE

Reading Time: 5 minutes

Writing Time: 50minutes

Mathematics Criterion A: Knowing and understanding

Achievement
Level / Descriptor
0 / The student does not reach a standard described by any of the descriptors below.
1–2 / The student is able to:
  • select appropriate mathematics when solving simple problems in familiar situations
  • apply the selected mathematics successfully when solving these problems
  • generally solve these problems correctly in a variety of contexts

3–4 / The student is able to:
  • select appropriate mathematics when solving more complex problems in familiar situations
  • apply the selected mathematics successfully when solving these problems
  • generally solve these problems correctly in a variety of contexts

5–6 / The student is able to:
  • select appropriate mathematics when solving challenging problems in familiar situations
  • apply the selected mathematics successfully when solving these problems
  • generally solve these problems correctly in a variety of contexts

7–8 / The student is able to:
  • select appropriate mathematics when solving challenging problems in both familiar and unfamiliar situations
  • apply the selected mathematics successfully when solving these problems
  • generally solve these problems correctly in a variety of contexts

Level 1 and 2

Question 1

For the following graph, state the turning point.

Question 2

Mr. K was shocked to find 12 calculators in room C101. Four of the calculators are at 50%, three have a full battery and the rest have no charge at all.

a)What is the probability of him picking up an uncharged calculator?

b)What is the probability of him picking a fully charged or a 50% charged calculator?

Question 3

The discriminant of is:

A -44

B 67

C 76

D -56

E -4

Question 4

Solve the equation

Question 5

A survey was carried out in a group of 200 people. They were asked whether they smoke or not. The collected information was organized in the following table.

Smoker / Non-smoker
Male / 60 / 40
Female / 30 / 70

One person from this group is chosen at random.

Write down the probability that this person is a smoker.

Question 6

a)For each data set find i) median i) range and iii) interquartile range.

b)Compare the statistics for the two data sets.

Level 3 and 4

Question 7

The graph has undergone the following set of transformation; 3 units horizontally to the left, 4 units vertically downwards.

a)What is the equation of the graph after the transformation?

b)Re-write the equation in the format .

c)Find the associated x-intercepts.

d)Sketch the transformed graph.

e)Write down the equation of the axis of symmetry.

Question 8

The height H metres, of a ball hit vertically upwards seconds after it is hit is given by

a)How long does it take for the ball to reach its maximum height?

b)What is the maximum height of the ball?

c)How long does it take for the ball to hit the ground?

Question 9

Use the quadratic formula to solve the equation Give your answer in a fully simplified form.

Question 10

The weights in kg, of 80 adult males, were collected and are summarized in the box and whisker plot shown below.

a)Write down the median weight of the males.

b)Calculate the interquartile range.

c)Estimate the number of males who weigh between 61 kg and 66 kg.

Question 11

Sketch the following circle. Label the coordinates of the centre.

Question 12

The Venn diagram shows the numbers of pupils in a school according to whether they study the sciences Physics (P), Chemistry (C), Biology (B).

a)Write down the number of pupils that study Chemistry only.

b)Write down the number of pupils that study exactly two sciences.

c)Write down the number of pupils that do not study Physics.

Question 13

Fully factorise the following:

a) / b)
c) / d)
e) / f)

Level 5 and 6

Question 14

Sketch the graph of, label the asymptote and axes intercepts.

Question 15

The sum of an integer and four times its reciprocal is .

a) Write an equation for the statement above.

b) Solve the equation and hence find the number.

Question 16

The cumulative frequency graph shows the amount of time in minutes, 200 students spend waiting for their train on a particular morning.

a)Write down the median waiting time.

b)Find the interquartile range for the waiting time.

The minimum waiting time is zero and the maximum waiting time is 45 minutes.

c)Draw a box and whisker plot on the grid below to represent this information.

PTO

Level 7 and 8

Question 17

Sam rolls a standard die, and then Maggie rolls the same die. The probability that Maggie’s number is higher than Sam’s can be written as , where a and b have no common factors greater than 1.

Find a.

Question 18

The x intercepts, 3 and 15, and the vertex of a parabola form an isosceles triangle with perimeter 32 units.

If the parabola is given by the equation find the values of a, b and c.

END OF PAPER 1

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