Higher Colleges of Technology

Foundations Mathematics End of Semester Exam

Semester 1

2003 - 2004

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) Electronic dictionaries are not allowed.

5) A correct solution without appropriate steps may not be awarded full marks.

6) A Formula Sheet is attached at the end of this paper.

Name: ______Section:______

I.D.: ______

Goal / 1 / 2 / 3 / 4 / 5 / Total / %
Marks / 13 / 16 / 14 / 15 / 20 / 78 / 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 113 marks

1) / Write in words:
3670 / [1 mark]
2) / Write in digits:
five hundred twenty million eight thousand and nineteen / [1 mark]
3) / Write down the reading from the tape measure in centimeters:

30 cm 1 2 3 / [1 mark]
4) / Roughly, what is 14032 minus 9998? / [2 marks]
5) / Find the remainder of 69 divided by 4. / [2 marks]
6) / Write down the best unit to measure:
a. the height of a wall / [1 mark]
b. the distance from Abu Dhabi to Dubai / [1 mark]
c. the outside temperature in Sharjah / [1 mark]
7) / At the beginning of the month the balance in Aaref’s bank account was Dh 4590. At the end of the month the balance in his bank account was Dh –250. How many dirhams did Aaref spend? / [1 mark]
8) /
  1. Measure the long side of this shape
to the nearest cm: / [1mark]
b. Measure the short side of the shape to the nearest mm. / [1mark]

Goal 216 marks

9) / Round the following numbers to the place value indicated.
a. 23.9562 (nearest tenth) / [1 mark]
b. 239 562 (nearest ten thousand) / [1 mark]
10) / Insert = or > or < between each pair of numbers:
a. –15.6 –5.6 / [1 mark]
b. 0.607 0.0670 / [1 mark]
c. 63.707 63.7070 / [1 mark]
11) / Salma ordered a pizza at Dh 25.50 and a soft drink at Dh 4. Muna ordered lasagne at
Dh 14.50, a soft drink at Dh 4 and French Fries at Dh 5.50.
a. Who paid more? Show your working. / [2 marks]
b. By how much? / [1 mark]
12) / The impedance Z in a circuit is given by .
Find Z when R = 1800, XL = 7275 and XC = 6315. / [2 marks]
13) / The average price of four cars is Dh 162 500. The average price of another three cars is Dh 250 000. What is the average price of all seven cars together? / [3 marks]
14) / The Voyager space craft is at present 1.25 x 1010 km away from the planet Earth.
Write 1.25 x 1010 as an ordinary decimal number. / [1 mark]
15) / How many pens costing Dh 4.25 each can you buy for Dh 50 ? / [2 marks]

Goal 314 marks

16) / Evaluate the following. Write your answer as a fraction or mixed number.
a. = / [1 mark]
b. = / [1 mark]
17) / Find a fraction equivalent to / [1 mark]
18) / Arrange in order, smallest first:
/ [2 marks]
19) / A box contains 9 red pens, 16 black pens and 12 blue pens. What fraction of the pens are black? / [2 marks]
20) / It takes hour to make a rug. How many rugs can be made in 6 hours? / [2 marks]
21) / Ali has a monthly income of Dh 15 000. He spends of his monthly income on rent, on food, on clothing and on other expenses. He saves the rest of his monthly income. How much money does Ali save? / [4 marks]
22) / In a survey of people were car owners. In the survey of the car owners had white cars. In the survey what fraction of people had white cars? / [1 mark]

Goal 415 marks

23) / The number of students at a women’s college is 85 more than twice the number of students at a men’s college. Let the number of students at the men’s college be m. Write an expression for the number of students at the women’s college. / [2 marks]
24) / Remove brackets and simplify:
/ [3 marks]
25) / Simplify the following. Write your answer with a positive exponent.
/ [2 marks]
26) / Fully factorize the following expression:
/ [2 marks]
27) / Simplify by factorizing:
/ [2 marks]
28) / Write as a single fraction:
/ [2 marks]
29) / Write as a single fraction and simplify the numerator:
/ [2 marks]

Goal 520 marks

30) / Solve the following equations:
a. / [2 marks]
b. / [3 marks]
31) / Change the following into an equation and solve it:
The sum of 3x and seven equals the product of five and 2x. / [3 marks]
32) / Change the subject to the variable y:
/ [3 marks]
33) / The number of CD students in a college is 371 more than the number of HD students.
The college has 1473 students. How many HD students are there in the college? / [3 marks]
34) /


a. Calculate the volume of the cuboid. / [2 marks]
b. Calculate the volume of the cylinder to 1 d.p. / [3 marks]
c. How much more is the volume of the cuboid than the cylinder? / [1 mark]

THIS IS THE END OF THE EXAM

FORMULA SHEET

Use the  button on your calculator or use  = 3.14

Circumference of a circle is given by 2r or πd

Area of a circle is given by r2

Area of a rectangle is given bylw

Area of a triangle is given by bh

Area of a parallelogram is given by bh

Volume of a rectangular solid is given bylwh

Volume of a cylinder is given byr2h

ANSWERS

1) / Three thousand six hundred (and) seventy
2) / 520 008 019
3) / 32.4 cm
4) / 4000
5) / 1
6a. / m
b. / km
c. / oC or oF ordegrees
7) / Dh 4840
8a. / 6 cm
b. / 34 mm
9a. / 24.0
b. / 240 000
10a.
b.
c. / =
11a. / S: Dh29.50 M: Dh 24
Salma
b. / Dh 5.50
12) /
2040
13) / Dh 200 000
14) / 12 500 000 000
15) / 11 pens
16a. /
b. / or
17) / etc
18) /
19) /
20) / 9 rugs
21) / Dh 3750
22) /
23) / +85
24) /
25) /
26) /
27) /
28) /
29) /
30a. /
30b. /
31) /
32) /
33) / HD students
34a. / 75 m3
34b. / 58.9 m3
34c. / 16.1 m3

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