Higher Colleges of Technology

Foundations Mathematics Semester 1

TEST 4b Goal 4

Time Allowed: 55 minutes

1)  All working out must be shown on the test paper.

2)  Non-programmable calculators are allowed.

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

Name: ______Section: ______

ID: ______

Page / 1 / 2 / 3 / 4 / 5 / 6 / Total / %
Possible marks / 9 / 10 / 8 / 9 / 7 / 7 / 50
Actual marks

“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.”

1 / For the expression write down
a) the number of terms / 1 mark
b) the number of variables / 1 mark
c) the coefficient of / 1 mark
d) the constant term / 1 mark
2 / Simplify the following expressions
a) / 1 mark
b) / 1 mark
c) / 1 mark
d) / 2 marks
) fy the following expressions
/9
3 / Solve
a) / 2marks
b) / 2marks
c) / 3 marks
d) / 3 marks
/10
4 / Re-arrange for the variable y
a) / 1 mark
b) / 2 marks
c) / 1mark
d) / 2 marks
e) / 2marks
/8
5 / Simplify
a) / 2 marks
b) / 2 marks
6 / Write an algebraic expression for:
a) the sum of x and y / 1 mark
b) the product of x and y, divided by the difference between x and y / 2 marks
7 / a) A bottle contains x liters of juice. Write an algebraic expression for the number of
liters in 12 bottles of juice. / 1 mark
b) 20 chocolate bars are shared by n children. Write an algebraic expression for the
number of chocolate bars each child gets. / 1 mark
/9
8 / In a sale the price of a computer is Dh 2100. This is Dh 300 less than the regular price. What is the regular price? / 2 marks
9 / There are 10 more goats than sheep in a garden. The total number of goats and sheep in the garden is 40. How many goats are there in the garden? / 2 marks
10 / A wooden plank is 8 m. The plank is cut into two pieces. One piece is 1.5 m longer than the other. What is the length of each piece? / 3 marks
/7
11 / On Saturday a car drives 10 km more than on Friday. On Sunday the car drives 20 km more than on Friday. The total distance driven on Friday, Saturday and Sunday is
210 km. How many km did the car drive on Friday? / 3 marks
12 / On Tuesday a man walks 5 km more than on Monday. On Wednesday he walks 10 km more than on Tuesday. The man walked a total distance of 50 km on the three days. How many km did he walk on Wednesday? / 4 marks
THIS IS THE END OF THE TEST / /7


ANSWERS

1a / 5
1b / 3
1c / -2
1d / -7
2a /
2b /
2c /
2d /
3a /
-5
3b /
2
3c /
1
3d /
15.54
4a /
4b /
4c /
4d /
4e /
5a / 60
5b /
6a /
6b /
7a /
7b /
8 /
Dh 2400
9 /
15
10 /
3.25 m
4.75 m
11 / Friday: x
Sat: 10 + x
Sun: 20 + x
60
12 / Mon: x
Tue: 5 + x
Wed: 10 + 5 + x
x = 10
25

MATH070 FWC lv TEST 4b 6