







A triangular garden 
20200524 

From yoonji: the 3 sides of a triangular garden measure 200 ft., 250 ft., and 300 ft., respectively. the garden is to be divided by a line bisecting the longest side and drawn from the opposite vertex. what is the length of the bisecting line? Answered by Penny Nom. 





A sand castle in the shape of a truncated cone 
20200523 

From Summer: A sand castle is in the shape of a truncated cone as shown. Calculate the length of the diameter of the base.
The diameter of the top of the truncated cone is 20cm
The height is 30cm
The slopes are 32cm Answered by Penny Nom. 





A 50:1 ratio in a pint 
20200522 

From Steve: How much oil do I need to put in a pint if it's 50:1 ratio Answered by Harley Weston. 





Drawing a counter from 2 bags 
20200521 

From Sephy: Question 4: Two bags, 1 and 2, each contain equal size counters.
Bag 1 contains a pink counter, yellow counter and white counter.
Bag 2 contains counters labelled 1, 4, 5 and 7.
A counter is drawn at random from bag 1
and a counter is drawn at random from bag 2.
If the counter from bag 1 is pink, the number on the
counter from bag 2 is increased by 1
If the counter from bag 1 is yellow, the number on the
counter from bag 2 is decreased by 5
If the counter from bag 1 is white, the number is halved.
Find the probability of scoring a number below 3 Answered by Penny Nom. 





Forming the largest cylinder 
20200520 

From Amanda: How do I find the maximum surface area and volume of a cylinder made up of ONE 8.5x11 piece of paper? Answered by Penny Nom. 





Maximizing the volume of a cone 
20200518 

From Ella: Hello, this is question  'If you take a circle with a radius of 42cm and cut a sector from it,
the remaining shape can be curled around to form a cone. Find the sector
angle that produces the maximum volume for the cone made from your circle.' Answered by Penny Nom. 





An angle i a triangle 
20200516 

From Ogunjobi: Two goal post are 8m apart a footballer is 34 m from one post and 38m from the other within what angle must he kick the ball if he is to score Answered by Penny Nom. 





Running in opposite directions around a circular track 
20200511 

From Alessandra: 2. Alan and Brian are two runners. Alan runs at 6.6 m/s and Brian runs at 8.4 m/s. They start from
the same place on a circular 400 m track and run in opposite directions round and round the
track.
(a) How far has Brian run when they pass each other for the first time?
(b) After they pass each other for the second time, how much further does Brian need to run
in order to complete two laps (800 m)? Answered by Penny Nom. 





How long will it take to dig the trench? 
20200506 

From Marielena: If the production rate for hand digging a trench is 1.2 mh/cy, how long would it take for one man to dig a trench 2 feet deep by 1 foot wide by 216 feet long? Answered by Penny Nom. 





Three numbers have a sum of 45 
20200506 

From Jayden: Three numbers have a sum of 45. The greatest of the 3 numbers is 2 greater than the least number. What are the numbers? * Answered by Penny Nom. 





The flight of a football 
20200506 

From Michael: Football is thrown from a 10yard line. It reaches its highest height of 20 yards. It lands on the 50yard line after 2 seconds. What is the equation of the parabola that models this throw? I really need help as I've been on this for the longest amount of time. Answered by Penny Nom. 





Signs at 1/3 mile intervals 
20200503 

From Heather: The butterfly garden in St. Thomas gardens is a three mile loop at every 1/3 there is a sign along the loop to mark each 3rd of a mile along the loop if Melanie is standing next to the 7th sign at what mile is she? Answered by Penny Nom. 





The volume of a stone 
20200502 

From KHOSI: A rectangular container is 9cm wide,17cm long and contains water to a depth of 11cm. A stone is placed in the water and the water rises 2,2cm .Find the volume of the stone Answered by Penny Nom. 





The volume under an an uneven surface 
20200501 

From Solon: I am trying to fill an area of floor which has an uneven surface. I need to know the volume of fill.
If you imagine a rectangular room (4 corners) that measures 189 inches by 240 inches and the depth at each corner is different.
Let us say corner #1 has a depth of 1", corner #2 has a depth of 0", corner #3 has a depth of 2" and corner #4 has a depth of 4".
How would i find the volume of said floor area?
Any assistance would be greatly appreciated! Answered by Harley Weston. 





Adding a service charge and the VAT 
20200430 

From richard: was given a figure by a client been performance bonus of staff , the figure is 806,698.35 from this 806,698.35 is my company service charge of 10% and 5% of the service charge will be Vat to government in summary from 806,698.35 is 10% of service charge and 5% of service charge is the VAT Answered by Penny Nom. 

