Mathematics – Secondary Schools – Track 3 – Form 3 – 2013/2014 – Main Paper Page 1 of 8

Embracing Diversity

GOZO COLLEGE

BOYS’ SECONDARY SCHOOL

Half Yearly Exams 2013-2014

Subject: Mathematics (Main Paper)

Form: 3 – Track 3

Time: 1 hr 30 min

Name: _____________________________ Class: _____________________________

Instructions to Candidates

Calculators are allowed but all necessary working must be shown.

Answer all questions.

Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Total

Main

Non

Calc.

Global

Mark

Mark

Mathematics – Secondary Schools – Track 3 – Form 3 – 2013/2014 – Main Paper Page 2 of 8

1. Expand and simplify:

7( + 3

Ans: _______________

(3 marks)

2. Solve x and y simultaneously.

Ans: _______________

(4 marks)

3. Jack invests an amount of money at 5% for 18 months and gets an interest of €100. Find the

amount of money Jack invests, give your answer to the nearest cent.

Ans: €_______________

(4 marks)

Mathematics – Secondary Schools – Track 3 – Form 3 – 2013/2014 – Main Paper Page 3 of 8

4. a) The polygon seen below is regular.

i) What is this polygon called? __________________.

ii) What is the sum of its exterior angles?

________°.

iii) Calculate the size of one exterior angle.

________°.

iv) Calculate the size of one interior angle.

________°.

b) Continue the following procedure to draw a regular pentagon, each side of length fifty

turtle steps.

PD

REPEAT ____ [FD____ RT ____]

END

(7 marks)

________________________________________________________________________________

5. a) In the circle below, draw a regular hexagon ABCDEF using ruler and compasses only.

b) Measure side AB.

AB = ______ cm.

(4 marks)

Mathematics – Secondary Schools – Track 3 – Form 3 – 2013/2014 – Main Paper Page 4 of 8

6. John has a ladder 3.3 m long. It must be 1.25 m away from the

vertical wall in order not to slip.

a) Label the diagram with the information given above.

b) How far up the wall does it reach?

Give your answer to 1 decimal place.

Ans: _______________ m

(5 marks)

7. Play dough is very easy to make at home. These are the ingredients:

cup salt

cup water

cup flour

Food colouring to make the play dough any colour you want.

a) i) Write down the ratio of salt : water : flour.

Ans: _______________

ii) Simplify your ratio.

Ans: _______________

b) Mary needs to make 400 grams of play dough. How much salt, water and flour does she

need? (Note: 1 gram of water is approximately equal to 1 millilitre of water).

Salt = ________grams

Water = ________grams

Flour = ________grams

(7 marks)

wal

l

Mathematics – Secondary Schools – Track 3 – Form 3 – 2013/2014 – Main Paper Page 5 of 8

8. Jessica and Joseph are getting married. They are going to have their reception at a five star

hotel. They contacted the manager to discuss how their guests are going to be seated. They

decide to use trapezium-shaped tables. Each table can seat 7 guests.

a) Draw the 4th

pattern in the space below.

b) How many seatings (dots) are there in the first 4 tables? _____, _____, _____, _____.

c) Write down the nth

term.

Ans: _______________

d) Calculate the number of people to be seated using 10 tables.

Ans: _______________

e) If there are 105 people to be seated, how many tables need to be used?

Ans: _______________

f) The chefs are preparing a meal for the couple’s wedding. If one chef takes 36 hours to

prepare this meal, how many hours will three chefs take to prepare the same meal?

Ans: _______________

(11 marks)

Pattern 1 Pattern 3 Pattern 2

Mathematics – Secondary Schools – Track 3 – Form 3 – 2013/2014 – Main Paper Page 6 of 8

9. Find the value of x by trial and improvement, giving your answer to 1 decimal place.

x = __________

(4 marks)

10.

a) Write in its simplest form, an expression for the area of:

i) the rectangle.

ii) the square.

b) The rectangle and the square have the same area. Write down an equation in terms of x and

solve it.

Ans: _______________

c) Calculate the length and width of the rectangle.

Length: _______________ Breadth: _______________

(7 marks)

x x2 x

2 − x Large/Small

𝑥

𝑥

Rectangle 𝑥

𝑥

Square

Mathematics – Secondary Schools – Track 3 – Form 3 – 2013/2014 – Main Paper Page 7 of 8

11. Jon, Kate and their son Leo ordered a pizza from a local

restaurant.

Jon eats half of the pizza.

a) What is the area of the pizza that Jon eats, if the pizza has a

20 cm radius? (Round your answer to a whole number.)

Ans: _______________ cm

Kate eats the other half of the pizza. She removes the crust (the white area in the diagram)

and gives it to her son Leo.

b) How much pizza does Leo eat? (Round your answer to a whole number.)

Ans: _______________ cm

(7 marks)

12. Work out, showing ALL your working:

(

)

Ans: _______________

(4 marks)

________________________________________________________________________________

2 cm

20 cm

Mathematics – Secondary Schools – Track 3 – Form 3 – 2013/2014 – Main Paper Page 8 of 8

13. The maximum temperatures in °C, recorded in Gozo every day for the month of September are:

25.5 19.9 19.8 20.2 21.0 23.1 22.4 22.6 24.5 23.8

25.2 19.5 22.6 21.9 23.9 24.1 23.0 24.0 23.9 23.9

22.8 24.1 24.7 22.8 25.0 22.6 23.4 25.0 23.2 24.9

a) Complete this tally chart and frequency table.

Temperature, t Tally Frequency

Total =

b) Draw and label a histogram to illustrate the above data.

(8 marks)

END OF PAPER

Mathematics – Secondary Schools – Track 3 – Form 3 – 2013/2014 – Non-Calculator Paper Page 1 of 5

Embracing Diversity

GOZO COLLEGE

BOYS’ SECONDARY SCHOOL

Half Yearly Exams 2013-2014

Subject: Mathematics (Non – Calculator Paper)

Form: 3 – Track 3

Time: 30 mins

Name: _____________________________ Class: _____________________________

Instructions to Candidates

Answer all questions.

This paper carries a total of 25 marks.

Calculators and protractors are not allowed.

Question 1 2 3 4 5 6 7 8 9 10 Total

Mark

Mathematics – Secondary Schools – Track 3 – Form 3 – 2013/2014 – Non-Calculator Paper Page 2 of 5

1. A shopkeeper bought the new Apple iPad Air for €550. He sold it for €660.

What is the percentage profit?

% profit = ________

(2 marks)

2. a) Factorise fully:

i) ii)

b) Hence simplify

(3 marks)

3. a) Simplify, giving your answer in index form:

b) Fill in:

i) (ii)

(4 marks)

Mathematics – Secondary Schools – Track 3 – Form 3 – 2013/2014 – Non-Calculator Paper Page 3 of 5

4. A circle has diameter of 14 cm. Using π =

, find the circumference.

Circumference = _____ cm

(2 marks)

5. Find the missing side in this right angle triangle.

x = ________ cm

(2 marks)

6. Solve the following:

a)

b) 8w = w – 7

z = ______

w = ______

(3 marks)

7. What is the missing angle x.

xo = _____

o

(1 mark)

diameter = 14 cm

xo

1 cm

0.6 cm

x

Mathematics – Secondary Schools – Track 3 – Form 3 – 2013/2014 – Non-Calculator Paper Page 4 of 5

8. Last year, a group of students attended a sports summer club. They had to choose from football,

tennis, hockey and athletics. The pie chat represents the choice of sport made by these students.

a) Which are the equally practiced sports?

________________________ and ________________________.

b) If football is practiced by

of the students, and 24 students practice this sport, how

many students altogether attend the sports summer club?

_______ students

(3 marks)

_______________________________________________________________________________

Hockey

Athletics Tennis

Football

Mathematics – Secondary Schools – Track 3 – Form 3 – 2013/2014 – Non-Calculator Paper Page 5 of 5

-4 -3 -2 -1 O 1 2 3 4

-2

-1

1

2

3

49.

a) Write down 4 coordinates on this straight line graph.

__________, __________, __________, ___________.

b) Write down the equation of this straight line.

_____________________

(3 marks)

10.

Joe and Karl are working the above sum. Joe thinks that his answer is while Karl got

as an answer.

Who is right? __________________

Explain your answer by showing working.

(2 marks)

END OF PAPER