DON BOSCO TECHNOLOGICAL INSTITUTE
MAT121 – Technical Mathematics 2
Assignment # 1
Date Given: _____/_____/2024
Name:
Date Due: _____/_____/2024
Mark ______/70
Technology:
Instructions
1. Read the assignment questions carefully
2. Set out your assignment clearly and show all working out neatly on the space provided
using a pen. A poorly presented assignment with insufficient working will result in a low
mark.
3. All final Answers must be boxed
4. The Assignment is due 1 week after the date of issue.
5. Extension to the due date is, granted only as per assignment policy outlined in the Student
Handbook.
6. Penalty for late work is per the DBTI assignment policy.
RATIO, PROPORTION & VARIATION
Question 1
3 mrks
Vadavada Construction has recently, employed twelve INF first year trainees to lay cables in its new warehouse. The
total wage of the trainees for five days work is K8400. Calculate the wage of nineteen trainees for six days.
Question 2
3 mrks
It takes eighteen days for eight ECT1 students to construct a pathway to Caritas. The eight workers work seven hours
a day. How many days will twelve INS 1 students take to construct a similar pathway, working six hours a day?
Question 3
3 mrks
A piece of work can be done in, 15 days by eight men. How many men will be required to do triple the job in 12 days?
pg. 1
Question 4
3 mrks
Mr Speed can complete a piece of task in 12 minutes while Mr Slow Moe can complete the same task in 20 minutes. If
both of them work at it together, how long will they be able to finish the job
Question 5
3 mrks
Two taps can fill a massive fish tank in 8 hours and 10 hours respectively. An outlet can empty the tank in 16 hours.
Both the taps and the outlet were, opened and let to run for 4 hours. Then the outlet and the first tap were, closed.
How long will it take the second tap to fill the remaining part of the fish tank?
Question 6
a) If p varies directly as q and q = 70 when p =10, find q when p = 12
6 mrkS
b) If y varies directly as the square root of x and y = 10 when x = 1, find y when x = 4
c) If (w) varies indirectly as the square root of (a) and partially to 2b, write the equation relating the variables
Question 7
3 mrks
The distance possible to see on a clear day varies directly as the square root of the height above sea level. At the
height of 6 metres above sea level, it is possible to see 10 km. What distance can be seen from a height of 54 m?
Question 8
3 mrks
pg. 2
The electrical resistance of a wire varies inversely as the square of its radius. Given that the resistance is 0.4 ohms
when the radius is 0.3 cm. Find, the resistance when the radius is 0.45 cm
Question 9
3 mrks
Find the area correct to one significant figure, of the curved surface of a cone whose base radius is 3 cm and whose
height is 4 cm.
Question 10
5 mrks
-1
Water flows through a circular pipe of internal radius of 10 cm at 5 ms . If the pipe is always half-full, find the volume
of water discharged at half an hour. Write the final answer in 3 significant figures.
Question 11
3 mrks
A circular flowerbed of diameter 8 m is to be surrounded by a concrete path 1 metre wide. The quote to supply and
lay the concrete is K20.50 per square metre.
What is the total cost of the area of the path correct to 2 decimal places?
Question 13
6 mrks
A man buys eggs at 55 toea a score. He finds that 10% of the eggs are unsaleable but sells the rest at 60 toea a dozen.
Suppose he buys 440 eggs. Find his percentage profit close to 3 decimal places
Question 14
4 mrks
DBTI Maintenance team found out they need a new tank up the 15m tower. The MFW1 Stakwan Construction crew
measured the tank to be 8 m in diameter and 6m tall. If the metal sheet per meter squared costs K8.75 t, find the cost
for making the tank.
pg. 3
Question 15
4 mrks
In the Electrical storeroom, the ECT 1 students labelled the boxes Maria, Joseph, Fiona and Shrek and filled them with
electrical components in the ratio 1:3:4:7 respectively. Donkey knows that Fiona has 50 components less than Maria.
Help Donkey find out the number of components each on one has.
Question 16
6 mrks
The sum of the sides of a right angle triangle is 49 mm and the Hypotenuse is 41mm. Find the sides of the triangle,
and convert answers to micrometres
Question 17
The end face of a Prism is a square of side (x + 5) and it is 2x metres long.
a) Calculate the volume of the Prism
b) If the volume of the Prism is numerically 384 m3, find the value of (x)
(4 mrks)
(3 mrks)
Question 18
. A shopkeeper bought 600 oranges and 400 bananas. He found that 15% of the oranges and 8% of
the bananas were rotten. Find the percentage of fruits in good condition.
5 mrks
ende
pg. 4