13
Mathematics – Secondary Schools – Level 7 – 8 – Form 1 – 2013/2014 – Main Paper Page 1 of 9 Embracing Diversity GOZO COLLEGE BOYS’ SECONDARY SCHOOL Half Yearly Exams 2013-2014 Subject: Mathematics (Main Paper) Form: 1 Level 7 – 8 Time: 1 hr 30 mins Name: _____________________________ Class: _____________________________ Instructions to Candidates Calculators are allowed but all necessary working must be shown. Answer all questions. Ques. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Total Main Non Calc. Global Mark Mark

Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Embed Size (px)

Citation preview

Page 1: Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Mathematics – Secondary Schools – Level 7 – 8 – Form 1 – 2013/2014 – Main Paper Page 1 of 9

Embracing Diversity

GOZO COLLEGE

BOYS’ SECONDARY SCHOOL

Half Yearly Exams

2013-2014

Subject: Mathematics (Main Paper)

Form: 1 Level 7 – 8

Time: 1 hr 30 mins

Name: _____________________________ Class: _____________________________

Instructions to Candidates

Calculators are allowed but all necessary working must be shown.

Answer all questions.

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

Main

Non

Calc.

Global

Mark

Mark

Page 2: Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Mathematics – Secondary Schools – Level 7 – 8 – Form 1 – 2013/2014 – Main Paper Page 2 of 9

1. A plane left Luqa airport at 23:00. It arrived in Bologna airport

at 00:53.

a) How long did the trip last?

ans: _____hr ______mins

b) The plane stayed in Bologna airport for

hours after landing. Then, it left

for Brussels. At what time did it leave for Brussels?

ans: ______:______

________________________________________________________(4 marks)

2. From this set of numbers {2, 3, 4, 6, 7, 45, 63} give:

a) a square number. ans: ______________

b) a prime factor of 6. ans:_______________

c) two multiples of 7. ans:_______, _______

________________________________________________________(3 marks)

3. Fill in the missing terms in the following sequences.

a) 100, 96, 92, 88, ______, ______ .

b)

_______, _______ .

c) ______, 13, 20, 27, 34, 41.

________________________________________________________(4 marks)

Page 3: Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Mathematics – Secondary Schools – Level 7 – 8 – Form 1 – 2013/2014 – Main Paper Page 3 of 9

4. The diagram below is made up of a quadrilateral and a triangle.

Find the size of the angles and state the reason in each answer.

u = ________° reason: ___________________________________

v = ________° reason: ___________________________________

w = ________° reason: ___________________________________

x = _______° reason: ___________________________________

y = _______° reason: ___________________________________

________________________________________________________(10 marks)

w u 73° 62°

v

Page 4: Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Mathematics – Secondary Schools – Level 7 – 8 – Form 1 – 2013/2014 – Main Paper Page 4 of 9

5. Use your calculator to work:

a) √ ans: _______________

b)

ans: _______________

________________________________________________________(4 marks)

6. Look carefully at the speedometer below.

a) What is the reading on the speedometer?

ans: ___________mph

b) Mark with an arrow 50 mph.

________________________________________________________(3 marks)

7. a) Fill in the missing numbers in this table.

Input 1 2 3 4 5

Output 6 11 16 ____ ____

b) Now, use the table above to fill in the missing rule in the number machine

below.

________________________________________________________(4 marks)

Input Output

Page 5: Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Mathematics – Secondary Schools – Level 7 – 8 – Form 1 – 2013/2014 – Main Paper Page 5 of 9

40 ml yogurt

240 ml milk

50 g nuts

100 g figs

50 g strawberries

Serves 2

8. This is a recipe for a milkshake.

This recipe makes two servings.

a) Express this ratio in its simplest form.

Yogurt : Milk = ______ : ______.

b) Tom uses this recipe to make milkshakes for his 5 friends.

i) How many millilitres of milk does he need?

ans : __________ml

ii) Tom has 120 g of strawberries.

Is this enough to make the milkshake for his 5 friends? Give a reason for

your answer.

_______________________________________________________

_______________________________________________________

________________________________________________________(6 marks)

9. What is the obtuse angle between the hands of this clock?

ans : _______º

________________________________________________________(2 marks)

Page 6: Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Mathematics – Secondary Schools – Level 7 – 8 – Form 1 – 2013/2014 – Main Paper Page 6 of 9

10. Joyce buys some clothes from a shopping

outlet.

a) What is the cost of all the items bought?

ans : €____________

b) The shop is offering a discount of 20% on all items. Work out the discount.

ans : € ____________

c) How much will Joyce actually pay?

ans : € ____________

d) If Joyce gives the cashier €100, what change does she get?

ans : € ____________

________________________________________________________(7 marks)

11. a) Fill in with <, > or =.

i) 2.067 _______ 2.76

ii) one million, five hundred and twenty seven thousand ________ 1, 500,027.

Belle Clothing Ltd.

VAT No. 8769 3456

Shoes € 28.50

T–shirt € 8.90

Trousers € 49.50

Jacket € 37.50

Cost (Inc. VAT) €______

Page 7: Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Mathematics – Secondary Schools – Level 7 – 8 – Form 1 – 2013/2014 – Main Paper Page 7 of 9

11. b) Mark was asked to subtract 2.067 from a number but he subtracted 2.76 by

mistake. The answer he got was 19.812.

What should the correct answer have been?

ans : ____________

________________________________________________________(4 marks)

12. Forty eight people go to Bella’s birthday party.

A third of the people walk while a quarter travel by

bus. All the others go by car.

a) How many people walk to the party?

ans : ____________

b) How many people travel by car?

ans : ____________

c) What fraction of the people use the car? Give your answer in its simplest

form.

ans : ____________

________________________________________________________(5 marks)

Page 8: Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Mathematics – Secondary Schools – Level 7 – 8 – Form 1 – 2013/2014 – Main Paper Page 8 of 9

13. Tony asks people about their favourite sports. These are his raw results:

Football Swimming Swimming Football Bowling Basketball

Tennis Football Football Football Basketball Bowling

Football Football Swimming Basketball Bowling Tennis

Football Swimming Swimming Basketball Tennis Bowling

a) How many people did Tony ask? ans: _________people

b) Complete the frequency table to show the above list.

Sports Tally Frequency

Football 8

Swimming

Tennis

Bowling

Basketball

Total

c) Continue shading the bar chart below to show the above data.

d) Which is the most popular sport? ans:____________________

________________________________________________________(9 marks)

0

1

2

3

4

5

6

7

8

9

Football Swimming Tennis Bowling Basketball

Fre

qu

en

cy

Sports

Page 9: Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Mathematics – Secondary Schools – Level 7 – 8 – Form 1 – 2013/2014 – Main Paper Page 9 of 9

14. a) i) Plot these points and label each with its letter: A (−4,2), B (0,5), C (4,−1).

ii) Join the points: A to B, B to C and C to A.

iii) What type of triangle is triangle ABC? _________________________

iv) The length of side AB is ____________ cm.

b) i) Plot point Z so that shape WXYZ is a rectangle.

ii) Write down the coordinate of point Z – (_____, _____ ).

________________________________________________________(9 marks)

END OF PAPER

-5 -4 -3 -2 -1 O 1 2 3 4 5

-4

-3

-2

-1

1

2

3

4

5

6y

x

X

W

Y

Page 10: Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Embracing Diversity

GOZO COLLEGE

BOYS’ SECONDARY SCHOOL

Half Yearly Exams 2013-2014

Subject: Mathematics (Non – Calculator Paper)

Form: 1 Level 7 - 8

Time: 30 mins

Name: _____________________________ Class: _____________________________

Instructions to Candidates

Answer all questions.

This paper carries a total of 25 marks.

Calculators, rulers and protractors are not allowed.

Question 1 2 3 4 5 6 7 8 Total

Mark

Page 11: Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Mathematics – Secondary Schools – Level 7 – 8 – Form 1 – 2013/2014 – Non-Calculator Paper Page 2 of 4

X Y

1. Underline the correct answer.

a) Line XY is roughly (5 cm, 8 cm, 12 cm, 17 cm) long.

b) i) Angle A is roughly (20°, 40°, 70°, 110°).

ii) Angle A is an (obtuse, reflex, acute) angle.

________________________________________________________(3 marks)

2. a) Read the numbers from the scales.

20 40 60 80 100 120 140 160

i) A = __________ ii) B = __________

b) Arrange these numbers in order of size, smallest first.

1.234, 0.013, 10.421, 0.005 - ______, ______, ______, _______.

c) Work out: 8.43 + 0.843 + 10.8

ans:_____________

________________________________________________________(4 marks)

A B

Page 12: Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Mathematics – Secondary Schools – Level 7 – 8 – Form 1 – 2013/2014 – Non-Calculator Paper Page 3 of 4

3. James buys 2 balls and 2 pairs of shoes. He spends €60 in all. The balls cost

€8.50 each. What is the cost of one pair of shoes?

ans: €_________

________________________________________________________(2 marks)

4. Work out:

a) 51800 ÷ 700 ans: ___________

b) 1120 × 4000 ans: ___________

________________________________________________________(2 marks)

5. a) Work out

×

.

ans: _________

b) 4

1 of a garden is used for growing vegetables, while

of the garden is lawn.

The rest is a path.

What fraction of the garden is path?

ans: ________

________________________________________________________(4 marks)

Page 13: Half Yearly Exams 2013-2014 - Gozo College Boys' …gc.victoriaboys.skola.edu.mt/hypapers/Form 1 2013-14 Maths L7-8.pdf · Mathematics – Secondary Schools – Level 7 – 8 –

Mathematics – Secondary Schools – Level 7 – 8 – Form 1 – 2013/2014 – Non-Calculator Paper Page 4 of 4

6. Use the number machine below to answer the questions.

a) Work out the output when the input is 10.

ans: _________

b) If the output is 27, what is the input?

ans: _________

________________________________________________________(3 marks)

7. Fill in:

a) The digit 3 has a value of ____________________ in the number 4617.23

b) 362 minutes = ____________ hours ____________ minutes.

c) 24.76 kg = ____________ grams.

________________________________________________________(3 marks)

8. The diagrams shows a growth pattern using matchsticks.

a) Draw the missing diagram in stage 3.

stage 1 stage 2 stage 3 stage 4

b) Complete the table below:

Stage 1 2 3 4 5

Number of matchsticks 12 19

________________________________________________________(4 marks)

END OF PAPER

INPUT × 9 ÷ 5 OUTPUT