Higher Colleges of Technology
Foundations Mathematics Final Exam
Semester 1
2002 - 2003
Time Allowed: 2 hours
1) All working out must be shown in the booklet.
2) Non-programmable calculators are allowed.
3) An English-English dictionary may be used as provided.
4) No electronic dictionaries allowed.
5) A correct solution without appropriate steps will not be awarded full marks.
Name: ______Section:______
I.D.: ______
Goal / 1 / 2 / 3 / 4 / 5 / Total / %Marks / 16 / 20 / 14 / 19 / 19 / 88 / 100
Obtained
"Cheating will result in immediate dismissal from the college. If you are caught cheating, you will never be admitted again to any of the colleges of the Higher Colleges of Technology."
Goal 116 marks
1Using the scale below answer the following questions:
a)What decimal number is A?[1 mark]
1A
A ……………
2 / 9 / 3 / 0 / 3 / 1b)Mark the decimal number 33.9 as B[1 mark]
2Shade in of the shape[1 mark]
3[4 marks]
a)Calculate the difference between Dh 34 and Dh 79.
b)What is two cubed added to three squared?
c)How much is fifteen subtracted from twelve?
4A teacher distributes 43 pencils equally between 19 students.[3 marks]
He keeps the remaining pencils himself.
How many pencils does the teacher keep?
5Given the number 450 701.673 [4 marks]
a)What is the place value of the underlined digit ?
b)Round the number to the nearest thousand.
c)Round the number to the nearest hundredth.
d)Round the number to the nearest whole number
6[2 marks]
a)Measure the longest side of the shape in cm…………………………
b)Measure the shortest side of the shape in mm…………………………
Goal 220 marks
7Evaluate[6 marks]
a)(7 – 3 4)3 – 4 (16 4 – 6)4
b)
c)13 0
d)
e)
f)
8A book of 212 pages has 118 327 words. Abouthow many words are there to a page?
[3 marks]
9A man worked for 19 hours and was paid a total of Dh 770.50. How much was he paid per hour (to the nearest dirham)? [2 marks]
10a)Write as an ordinary decimal number.[1 mark]
b)Write as an ordinary decimal number.[1 mark]
11One week I work 7.5 hours on Saturday, 10.5 hours on Sunday, 8 hours on Monday, and 10 hours on Tuesday. How many hours must I work on Wednesday to have an
8-hour daily average?[3 marks]
12A car can travel 240 km on 30 L of petrol.
What is the rate of petrol consumption in km/L?[1 mark]
13Sulaiman has an account with Dubai Bank. His initial balance is Dh 8500. He makes deposits of Dh 500, Dh 260 and Dh 68.75. He withdraws Dh 4650, what is his new balance? [3 marks]
Goal 314 marks
14At Al Najah School, of the students travel to school by bus, come by taxi and the rest come by car.
a)What fraction of the students travel by car?[2 marks]
b)Do more students travel by bus or by car?[1 mark]
c)There are 714 students at the Al Najah School. How many come by bus?
[1 mark]
15Foundation students were asked to name their favorite course from Maths, English, Arabic, Computer and Project.
The results are shown in the following table:
Courses / Maths / English / Arabic / Computer / ProjectNumber of responses / 8 / 4 / 6 / 11 / 9
a)What fraction of the students chose Computer? [2 marks]
b)What fraction of the students did not choose the Project?[2 marks]
16Four fifths of the people entering a crossword competition got the correct answers.
A quarter of these were male. What fraction of the people entered in the competition, were female with correct answers? [3 marks]
17Rajiv buys material for three pairs of trousers and two shirts. The tailor gets a
24-metre roll of material, and cuts from it three lengths of metres each, and two lengths of metres each. How much material is left on the roll? [3 marks]
Goal 419 marks
18Write each of the following as an algebraic expression. Do not simplify.
[2 marks]
a)subtract 4k from the sum of 9k and –3k
b)r increased by 5, divided by 8 less than x2
19Simplify the following expressions.[2 marks]
0.7cy2 + 2.5y2c – 7cy + 0.8cy2 4cy
20Remove the brackets in the following and simplify where possible.[3 marks]
a)9 5 ( 7x – 2y )
b)6 ( a + 4c ) – 4 ( 1 – 6c )
21Evaluate the following expression when p = 1.25, q = 3, r = 9. Round your answer to 2 d.p. [2 marks]
22Simplify the following, writing your answers using positive exponents only:
a) [3 marks]
b)[3 marks]
23Multiply the following:
(5z – 12xy) (3zx + 4y)[2 marks]
24Factorize the following expression completely:
9pq – 6pq + 12 qp[2 marks]
Goal 519 marks
25Solve the following equations:
a)write the answer as a mixed number
[3 marks]
b)[3 marks]
26A gold chain, 49 cm long, is cut into two pieces. The long piece is 2½ times the length of the short piece. How long is each piece? [4 marks]
27The formula for the air temperature (in ºF) and the altitude
(in feet above sea level) is given below
a)Calculate the air temperature when the altitude is 11 250 feet above sea level.
[2 marks]
b)A weather balloon records the air temperature as 6 ºF. Find the altitude of the balloon.
[3 marks]
28The municipality sold Ahmed the piece of property, shown below.
What is the perimeter of the property? [3 marks]
29Which of these expressions gives the area of this rectangle?[1 mark]
Choose answer (a), (b), (c), or (d)
(a)n2 + 10n + 7
(b)n2 + 10n + 10
(c)n2 + 7n + 7
(d)n2 + 7n + 10
ANSWERS
1a) A = 30.7b)
2A
B
2 / 9 / 3 / 0 / 3 / 12
3a) Dh 45b) 17c) -3
45
5a) ten thousandsb) 451 000c) 450 701.67d) 450 702
6a) 6.3 cmb) 32 mm
7a) -189b) 3.5c) undefinedd) 0.5e) -17
f) 324
8120 000 200 = 600
9 Dh 41
10a) 0.000 030 89b) 52.06
114 hours
128 km/L
13Dh 12 321.25
14a) b) carc) 153 students
15a) b)
16
1711 m
18a) b)
19
20a) b)
211.94
22a) b)
23
24
25a) b)
2635 cm
2727 a) 19.5o Fb) 15 000 ft
2859.0 m
29(d)
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