Half-Yearly Examinations - February 2015
Subject: Mathematics Main Paper / Level 7- 8 / Form: 2 / Time:1 hr 30 minutes
Name & Surname: / ______/ Class: / _____ / Index No: / ______
Teacher: / ______
Question / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 10 / 11 / 12 / Total main / Non
Calculator / Global
Mark
Mark
CALCULATORS ARE ALLOWED BUT ALL NECESSARY WORKING MUST BE SHOWN. ANSWER ALL QUESTIONS.
1. The table shows the average temperature in January in some European countries:
Town / Paris / Madrid / Berlin / Brussels / Dublin / London / RomeTemperature (°C) / -9 / 6 / -8 / -12 / -15 / -1 / 10
From the table above state:
a) / Which is the coolest city?
b) / Which is the warmest city?
c) / Which city is 4°C cooler than Berlin?
d) / Which city is 7°C warmer than London?
e) / Which city is 11°C cooler than Rome?
(5marks)
2. / For each of the shapes below draw the lines of symmetry and fill in the space, with the correct number./ This shape is a regular pentagon. It has ______lines of symmetry and it has a rotational symmetry of order _____.
/ This is an equilateral triangle. It has ______lines of symmetry and it has a rotational symmetry of order _____.
(4marks)
3. a) Simplify: 3x-4
Ans: ______
b) Expand and simplify: 2x+3-4x-5
Ans:______
c) Find the value of 3a+2b-c, when a = 3, b = −2, and c = −1.
Ans:______
d) / Factorise fully the expression:3y-18x
Ans:______
(6 marks)
4. / Tom is a delivery driver. On Tuesday he leaves the depot at 8am to start his deliveries. He first makes a delivery at Town A, then one in Town B and then goes back to the depot. The travel graph represents his journey.a. / At what time did Tom make his first delivery at Town A?
b. / How far is Town A from the depot?
c. / At what time did he arrive in Town B?
d. / How long did he stay at Town B?
e. / How long did the back journey from town B to the depot take?
f. / For how long did Tom stop throughout the whole journey?
(6marks)
5. Work out the following and simplify the answer where possible.
SHOW YOUR WORKING.
a) 125+213 b) 314-1710
Ans:______Ans: ______
c) 45×1516÷98
Ans:______
d) To make a cake, Peter uses 56 kg of flour. How many cakes can he bake if
he has 10 kg of flour.
Ans: ______
(9 marks)
6. Use ruler and compasses only construct:
(i) ΔABC, in which AB = 8 cm, AC = 6 cm and BC = 7 cm.
(ii) the perpendicular bisector of line AB.
(iii) bisect angle B.
(6 marks)
7. a) / Complete the table for y = 2 x + 3x / -3 / -2 / -1 / 0 / 1 / 2
2 x / -4 / 2
+3 / +3 / +3
y / −1 / 3
7. b) / Using a suitable scale plot the graph of y = 2 x + 3
7.c) / Calculate the gradient of the graph
Ans: ______
(10 marks)
8. Peter receives a cheque of €8000. He saves 14 of the amount in a bank,
spends 12 on a new car and spends 18 on a new laptop.
a) How much does he save in the bank?
Ans:€ ______
b) How much does he spend on the new car?
Ans:€ ______
c) How much does he spend on the new laptop?
Ans:€ ______
d) What fraction of the money does he have left?
Ans: ______
(7 marks)
9. On a track for remote-controlled racing cars, racing car A completes the track in 28 seconds, while racing car B completes it in 24 seconds. If they both start at the same time, after how many seconds will they be side by side again?
Ans: ______seconds
(3 marks)
10. / Calculate the size of the angles. Give reasons for your answers. (Diagrams not to scale.)(12 marks)
11. Alice needs to know the height of the Eiffel Tower. She marks a point A
on the ground 240 m from the bottom of the tower. The angle of elevation
from A to the top of the tower is 51°.
a) Using a scale of 1cm : 30 m, construct the right angled triangle ABC
as a scale drawing.
b) Use your scale drawing to find the actual height of the Eiffel Tower.
Ans: ______m
(5 marks)
12. Make a tessellation using this shape below. (Draw 5 more shapes)
(2 marks)
END OF PAPER
Mathematics Main Paper –Form 2 –L 7 to 8- Half Yearly 2015 Page 9 of 9