form 2 mathematics time: 30 minutes non calculator paper€¦ · mathematics – main paper –...

DIRECTORATE FOR QUALITY AND STANDARDS IN EDUCATION

Department of Curriculum Management

Educational Assessment Unit

Annual Examinations for Secondary Schools 2014

FORM 2 MATHEMATICS TIME: 30 minutes

Non Calculator Paper

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

Mark

DO NOT WRITE ABOVE THIS LINE.

Name: _________________________________ Class: _____________

Instructions to Candidates

Answer all questions.

This paper carries a total of 25 marks.

Calculators and protractors are NOT ALLOWED.

LEVELS

6 – 7

of 4 Mathematics – Non Calculator – Form 2 Secondary – L6 to L7 – 2014

1. a) Simplify: .

Ans: __________

b) . Find when , and .

Ans: __________

(3 marks)

2. Water is getting out of a tank. The sequence below represents

the amount of water, in litres, inside the tank every minute.

40 , 34 , 28 , 22 , ……

a) Write down the amount of water in the next minute.

Ans: __________

b) Write down the rule from one term of the sequence to another.

___________________________________________________

(2 marks)

3. Evaluate: .

Ans: ____________

(2 marks)

4. Write down two multiples of 3 between 35 and 44.

Ans: ______ and ______

(2 marks)

Mathematics – Non Calculator – Form 2 Secondary – L6 to L7 – 2014 of 4

5. Fill in with , or .

a)

30%

b) 30% 0.06

c) 0.06 1.01

(3 marks)

6. A printer has a discount of €60 from €200. What is the percentage discount?

Ans: ________ %

(2 marks)

7. This grid is made up of squares of side 1 cm.

a) Shape KLMNOPQR is made up of rectangles. What is its area?

Ans: _______ cm2

b) Join KM. What is the area of triangle KLM?

Ans: _______ cm2

(2 marks)

< > =

K

L

N O

M P Q

R

of 4 Mathematics – Non Calculator – Form 2 Secondary – L6 to L7 – 2014

8.

Use the number line above to work out: –2 – 5

Ans: ______________

(1 mark)

9. a) Write 24 as a product of prime factors:

24 =

b) Find the Highest Common Factor (HCF) of 24 and 18.

Ans: _______

(4 marks)

10. a) Simplify as much as possible: 12 : 18.

Ans: ___________

b) Sidor and Xandru each own a field. The diagram below is to scale and shows the

sizes of the fields. They have to share 10 tons of water in the same ratio as the length

of their fields. What is Sidor’s share of water?

Ans: ______ tons

(4 marks)

END OF PAPER

–10 –5 0 5 10

Xandru’s field

Sidor’s field

Mathematics – Main Paper – Form 2 Secondary – L6 to L7 – 2014 Page 1 of 8

DIRECTORATE FOR QUALITY AND STANDARDS IN EDUCATION

Department of Curriculum Management

Educational Assessment Unit

Annual Examinations for Secondary Schools 2014

FORM 2 MATHEMATICS TIME: 1h 30min

Main Paper

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

Main Non Calc

Global

Mark

Mark

DO NOT WRITE ABOVE THIS LINE.

Name: _________________________________ Class: _____________

1.

a) Translate triangle A, 3 left and 4 up. Label it B.

b) Fill in the blanks by choosing from the box

on the right:

The transformation which maps triangle A to

triangle P is an enlargement by a scale factor

__________ and centre ___________.

(4 marks)

CALCULATORS ARE ALLOWED BUT ALL NECESSARY WORKING MUST BE SHOWN.

ANSWER ALL QUESTIONS.

2 (–1, 0) 0

(0, 0) 3 (1, 1)

2

4

6

8

2 4 6 8 10 –2

2

A

P

LEVELS

6 – 7

0

y

x

of 8 Mathematics – Main Paper – Form 2 Secondary – L6 to L7 – 2014

2. This shape is a prism.

a) For each of the statements below, underline all the correct choices.

(You may tick more than one.)

i) The cross section of the prism is represented by:

ABC ADFC BEFC DEF ABED

ii) The length of the prism is represented by:

AB AC AD CF DF

b) Work out the volume of a prism, given that the area of cross section is 6.4 cm2 and

its length is 17.26 cm. Round your answer correct to 1 decimal place.

Ans: _________cm3

(6 marks)

3. Find the value of n if ( ) .

Ans: n = ________

(3 marks)

B

A

C

D

E F


4. Therese uses a spinner with numbers 1, 3 and 5. Jake uses a spinner with numbers 2, 3 and 4.

They spin the spinners together. A possibility space is drawn.

a) Fill in the blanks.

i) The probability that the spinners show ‘5’ and ‘2’ (5, 2) is

.

ii) The probability that the spinners show a total of 7 is

.

b) Therese and Jake play a game: the player who gets the higher number on the spinner

wins. What is the probability that Jake wins the game?

Ans: _________

(4 marks)

5.

Mark’s speedometer Jessica’s speedometer

a) Fill in: Mark is going at ________ km/h.

b) Can you tell whether Jessica is going faster than Mark? Explain.

____________________________________________________________________

___________________________________________________________________

(3 marks)

2 3 4

1 (1, 2) (1, 3) (1, 4)

3 (3, 2) (3, 3) (3, 4)

5 (5, 2) (5, 3) (5, 4)

Name: ________________________________ Class: ______________ LEVELS

6 - 7

3 1

5

3 2

4

Jake’s spinner Therese’s spinner

20

40

60 80 100

120

140

160

km/h

Jake

Ther

ese


6. Krista finds out that:

2 cups of flour weigh 200g.

Tom finds out that:

4 cups of flour weigh 400g.

a) Plot 2 points on the graph

to show Krista’s and

Tom’s information.

b) On the graph, draw a

straight line for the

conversion of cups to

grams.

c) i) On your straight line, mark with an ‘X’ the point representing 7 cups.

ii) How much do 7 cups of flour weigh? Ans: ________ grams

d) Now, x represents the number of cups and y represents the weight, in grams, of

flour. Fill in the space to form the equation of the straight line.

y = _______ x (6 marks)

7. In summer, Nicholas has 28 holidays. He spends them as follows:

of the holidays abroad,

of the holidays in a hotel in Malta and

the rest of the holidays at home.

a) Fill in: i)

ii)

b) How many holidays does Nicholas spend in a hotel in Malta?

Ans: _____ days

c) Work out:

, giving your answer as a fraction.

Ans: _______

d) How many days does Nicholas spend at home?

Ans: _____ days

(7 marks)

200

400

600

Weight

(g)

Cups 2 4 6 8 0


8. On a website, the total cost of buying films is calculated:

€12 for every film plus €4 postage.

a) Julie buys 1 film. What is the total cost?

Ans: €_______

b) Patrick buys 5 films. What is the total cost?

Ans: €_______

c) n represents the number of films bought and C the total cost of the films. Fill in the

blank to complete a formula for the total cost of the films.

C =

d) Patrick says, “The more films you buy, the cheaper the cost per film.” Is he right?

Explain.

____________________________________________________________________

____________________________________________________________________

(6 marks)

9. a) Last year Krista’s pocket money was €5 per week.

This year, it increases by 20%.

How much pocket money does Krista have this year?

Ans: €_________

b) Jeremy buys an 8 kg bag of dog food. The dog eats 45% of

this bag. How much food, in kg, remains in the bag?

Ans: ___________ kg

(4 marks)


10. In the diagram below:

a) Use a protractor to draw the bisector of angle A.

b) Using ruler and compasses only, construct an angle of 90° at B.

c) Let the lines in parts a) and b) meet at X. Measure AX.

Ans: AX = _________ cm

(6 marks)

11.

Every tile has a letter or number written. Moving to the right is positive (+) while moving

to the left is negative (–). Fill in the blanks (the first one is done for you):

a) Start on 0 and move by –5. You end on tile E .

b) Start on 3 and move by +2. You end on tile .

c) Start on 3 and move by –7. You end on tile .

d) If you move by –3 twice, you should move by –3 = tiles.

e) Start on 4 and move by –3 twice. You end on tile .

(5 marks)

G F E D C B A 0 1 2 3 4 5 6

left (–) right (+)

....... .......

A B


12. This table shows the times taken by a group of friends to run a race.

Time t (seconds) Frequency

0 < t < 30 1

30 < t < 60 4

60 < t < 90 7

90 < t < 120 8

120 < t < 150 3

150 < t < 180 2

a) How many friends had a time greater than 60 seconds but at most 90 seconds?

Ans: _____ friends

b) How many friends were there?

Ans: _____ friends

c) How many friends had a time greater than 30 seconds but at most 120 seconds?

Ans: _____ friends

(5 marks)

13.

PQ is parallel to RS. Find angles a, b, c and d, giving a reason for each answer.

a = ________________________________ Reason: __________________________________

b = ________________________________ Reason:__________________________________

c = ________________________________ Reason: __________________________________

d = ________________________________ Reason: __________________________________

(8 marks)

80°

a

b

70°

c

d

P

Q

R

S

T


14. Alice wants to cut a triangle out of cardboard. She first makes a rough sketch on paper and

writes down some measurements, which are then to be used on cardboard.

a) Is angle B an acute, an obtuse, a reflex or a right angle?

Ans: _______________ angle

b) Alice now plans to make an accurate drawing of triangle ABC. She uses the

following scale:

1 cm on the accurate drawing represents 5 cm on the cardboard.

i) How long should AB be on the accurate drawing?

Ans: _______________ cm

ii) How long should BC be on the accurate drawing?

Ans: _______________ cm

c) By using a ruler and protractor, draw an accurate drawing of triangle ABC.

d) How long is AC on the cardboard?

Ans: _______________ cm

(8 marks)

END OF PAPER

A

B C

25 cm

40 cm

120°

form 2 mathematics time: 30 minutes non calculator paper€¦ · mathematics – main paper –...

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