San Ġorġ Preca College Secondary School, Blata l-Bajda
Half-Yearly Examinations - February 2015
Subject: Mathematics
Main Paper
Name & Surname:
Form: 2
_________________________
Teacher:
Question
Level 6-7
Class:
Time:1 hr 30 minutes
_____ Index No:
______
_________________________
1
2
3
4
5
6
7
8
9
10
11
12
Non Calculator
Main
Total
Mark
Instructions to Candidates

Answer all questions.

This paper carries 75 marks

Calculators and mathematical instruments are allowed but all necessary working
must be shown.
1) Round the following numbers correct to 1 decimal place
a) 9.035
Answer: _________
b) 6.12
Answer: _________
c) 54.86
Answer: _________
d) Estimate the value of
9.047×6.23
8.57
Answer: ________
(4 marks)
Mathematics Main Paper Form 2-L 6 to 7- Half Yearly 2015
Page 1 of 10
2) a) Write ⅜ as a decimal. Show all necessary working.
Answer: ___________
b) Write 1 5
6
as a recurring decimal. Show all necessary working.
Answer: ___________
c) Write these decimals in order, biggest first:
0.0537,
0.055278,
0.000567,
0.05921,
0.5824
Answer: ___________, ___________, ___________, ____________, __________
d) Use calculator to work out 13.4 ÷ 2.98, giving answer correct to 2 decimal places.
Answer: ___________
(8 marks)
3) a) Underline the expression which is not equal to 𝟓𝒂
i)
𝑎+𝑎+𝑎+𝑎+𝑎
ii) 5 × 𝑎
iii) 𝑎 × 𝑎 × 𝑎 × 𝑎 × 𝑎
b) Simplify 5𝑏 − 3 + 2𝑏 − 4
Answer: __________
Mathematics Main Paper Form 2-L 6 to 7- Half Yearly 2015
Page 2 of 10
c) Expand the brackets
4(2𝑥 − 1)
Answer:__________
d) Find the value of 3𝑎 + 2𝑏 when 𝑎 = 3 and 𝑏 = −3
Answer: ________
(7 marks)
4) a)
b
a
65
20
20
Find the missing angles
angle a = ______0 Reason : (___________________________________________)
angle b= ______ Reason : (___________________________________________)
b) Write down the perimeter of this shape. Simplify your answer.
x
y
2x
3x
Answer: ________
(6marks)
___________________________________________________________________________
Mathematics Main Paper Form 2-L 6 to 7- Half Yearly 2015
Page 3 of 10
5. a)
d
a
b c
From the diagram,
i) Choose 2 vertically opposite angles.
Answer : ______ and _______
ii) Choose 2 alternate angles.
Answer: ______ and _______
iii) Choose 2 corresponding angles.
Answer: _______ and _______
b)
b
50
100
a
Find the missing angles, giving reasons for your answer
angle a =___________0
Reason :________________________________
angle b=____________0
Reason: _________________________________
(7 marks)
Mathematics Main Paper Form 2-L 6 to 7- Half Yearly 2015
Page 4 of 10
1
6) A man decided to share his land between his three children. He gave of his land to his
5
1
eldest son and
2
to the second.
a) What fraction of the land did the youngest get?
Answer:________
b) Change the answer in part a) into a decimal.
Answer: _______
(5 marks)
7) a) Write the following fractions in ascending order
1
9
2
2
20
5
Answer: _____, _____, ____
b) Work out the following
i)
2
3
+
1
5
Answer: ______
(iii)
3
5
5
2
6
3
ii) −
Answer: _______
of 60
Answer: _______
1
9
c) Write a fraction between 2 and 10
Answer: _______
(10 marks)
Mathematics Main Paper Form 2-L 6 to 7- Half Yearly 2015
Page 5 of 10
8. a)
Complete the scale on the y-axis.
y
6
A
-6
-5
-4
-3
C
-2
-1
0
1
2
3
4
5
6 x
-5
b) Write the co-ordinates of the points marked with the letter
A ( _____, _____ )
and
C ( ____, ____ )
c) On the grid plot point B with co-ordinates ( 0, 4)
d) Plot a point D on the grid such that quadrilateral ABCD will form a kite.
e) Write the co-ordinates of point D ( ____, ____ )
(6 marks)
Mathematics Main Paper Form 2-L 6 to 7- Half Yearly 2015
Page 6 of 10
9. a) The shape in the grid below is called a ___________________.
b) Does the shape have rotational symmetry?
Answer: ____________
c) Name one property of this quadrilateral.
_______________________________________________________________________
d) Make a tessellation using this shape. (Draw at least 6 more shapes)
(4 marks)
Mathematics Main Paper Form 2-L 6 to 7- Half Yearly 2015
Page 7 of 10
10. John makes the scale drawing of a field.
A
E
A
Scale
A
D
B
1cm : 3m
C
a) Measure the length BC.
Answer: ______cm
b) The real length of BC to the nearest metre is _______m.
c) John wants to draw another scale drawing to show a plot of land using the same
scale. If the real length of a side of the field is 45 m, calculate the length on the
scale drawing that represents this side of 45m.
Answer:__________cm
(5 marks)
Mathematics Main Paper Form 2-L 6 to 7- Half Yearly 2015
Page 8 of 10
11. Work out this question using ruler and compasses only, showing all construction lines.
a) Construct an angle of 90 at point A.
b) Construct an angle of 60 at point B.
c) Let C be the point of intersection to form triangle ABC. Measure side BC to the
nearest mm.
A
B
Answer: _______mm
(5 marks)
Mathematics Main Paper Form 2-L 6 to 7- Half Yearly 2015
Page 9 of 10
12. a) Complete the table for the straight line graph 𝑦 = 3𝑥 − 1
𝑥
3𝑥
-1
𝑦
-2
-6
-1
-7
-1
-1
0
0
-1
-1
1
3
-1
2
2
3
9
-1
8
b) Draw the graph of 𝑦 = 3𝑥 − 1 in the grid below.
y
0
x
c) Use your graph to find the value of 𝑦 when 𝑥 = 1.5
(8 marks)
END OF PAPER
Mathematics Main Paper Form 2-L 6 to 7- Half Yearly 2015
Page 10 of 10