Tutor MathsGuru: Ask me for your burning Maths questions!

[MathIzzzFun]

Superbugs:

P5 question:

The ratio of Sammy's age t Peter's age is 10:7. In 8 years' time, the ratio will become 4:3. What is Sammy's age now?

Appreciate help. Tks

Hi

For problem sums related to age, one key consideration is that the age difference will remain the same.

Age ratio now, Sammy : Peter = 10u: 7u
Age ratio 8 years' time, Sammy : Peter = 4 : 3 = 12u : 9u (multiply 3 to make difference 3u)

So, 12u - 10u = 2u = 8, 1u = 4

Sammy's age now = 10u = 40 years old.

cheers.

[MathIzzzFun]

Superbugs:

P5 question:


The average mass of a group of pupils was 28kg. When Mr Lim measured and recorded the mass of these pupils, he wrongly recorded one pupil's weight as 53kg when it should be 35kg. As a result, the average weight of the pupils was recorded as 29kg. How many pupils were there?

Need help on the above question. Tks

Hi

Weight added to total due to wrong recording = 53 - 35 = 18kg
Increase in average weight due to this error = 29 - 28 = 1kg

So, total number of pupils = 18/1 = 18
There were 18 pupils.

cheers.

[MathIzzzFun]

Superbugs:

P5 Question:


In a Mathematics quiz, pupils who answered each question correctly will be awarded some points according to the topic related as shown in the table below:

Topics Points Awarded
Fractions 3 points
Geometry 4 points
Volume 5 points
Percentage 6 points

The number of questions on Fractions, Geometry, Volume and Percentage were in the ratio 5:4:3:2 respectively. Weiling answered all the quiz questions on Volume correct and scored 0 for questions on Percentage. If Weilling scored 108 points for her quiz,

a) how many questions on Percentage were there in the quiz?
b) How many questions were there in the quiz?

Pls help on thsi question, Tks

Hi

Could you check the question - I think some information is missing.

cheers.

[MathIzzzFun]

Superbugs:

P5 Question:


The ratio of the amount of money Jenny had to the amount of money Siti had was 3:4. The next day, their parent gave each of them some money. Siti received twice as much as Jenny. The ratio then became 5:8. If both girls had a total of $70 at first, how much did Siti receive?

Pls help.

Hi

http://i56.tinypic.com/2v0jvus.jpg\">



cheers.

[marcusya]

Help me on this question

The cost of fuel to propel a boat through the water (in dollars per hour) is proportional to the cube of the speed. A certain ferry boat
uses $100 worth of fuel per hour when cruising at 10 kilometers per hour.
Apart from fuel, the cost of running this ferry is $675 per hour. At what speed should it travel so as to
minimize the cost per kilometer traveled?

[Superbugs]

MathIzzzFun:

Superbugs:

P5 Question:


In a Mathematics quiz, pupils who answered each question correctly will be awarded some points according to the topic related as shown in the table below:

Topics Points Awarded
Fractions 3 points
Geometry 4 points
Volume 5 points
Percentage 6 points

The number of questions on Fractions, Geometry, Volume and Percentage were in the ratio 5:4:3:2 respectively. Weiling answered all the quiz questions on Fractions and Geometry correctly, but she had got only 1/3 of the questions on Volume correct and scored 0 for questions on Percentage. If Weilling scored 108 points for her quiz,

a) how many questions on Percentage were there in the quiz?
b) How many questions were there in the quiz?

Pls help on thsi question, Tks

Hi

Could you check the question - I think some information is missing.

cheers.

[Superbugs]

To MathIzzzFun


Thank you for all the solutions! Appreciate it that you can reply me with the solutions of the other 2 questions. Sorry I am not able to upload the diagram and have incoporated the missing part for the other question.

Btw –> Are you currently a Maths Teacher?

[Superbugs]

MathIzzzFun:

Superbugs:

P5 Maths Question


The figure is made up of 3 squares, A,B and C overlapping each other. The area of Square A is 20% of the area of Square B and the area of Square B is 60% of the area of Square C. What percentage of the figure is shaded?

A\t\tC
\t\t
\t\t
\t\t
\tB\t
\t\t
Appreciate help on this question. Tks!

Hi

Can you post the image - I believe some information is missing.

cheers.

Sorry I am not able to upload the diagram. Basically it's overlapping squares and the shaded area is 40%, i.e 60% - 20%. 20% is part of 60%.

[MathIzzzFun]

Superbugs:

P5 Question:


In a Mathematics quiz, pupils who answered each question correctly will be awarded some points according to the topic related as shown in the table below:

Topics Points Awarded
Fractions 3 points
Geometry 4 points
Volume 5 points
Percentage 6 points

The number of questions on Fractions, Geometry, Volume and Percentage were in the ratio 5:4:3:2 respectively. Weiling answered all the quiz questions on Fractions and Geometry correctly, but she had got only 1/3 of the questions on Volume correct and scored 0 for questions on Percentage. If Weilling scored 108 points for her quiz,

a) how many questions on Percentage were there in the quiz?
b) How many questions were there in the quiz?

Pls help on thsi question, Tks

Hi

Number of questions on Fractions, Geometry, Volume and Percentage were in the ratio
5u : 4u : 3u : 2u

Total number of points
= 5u x 3 + 4u x 4 + 1/3 x 3u x 5
= 15u + 16u + 5u
= 36u
= 108

1u = 3

a) Number of questions on Percentage = 2u = 6
b) Total number of questions = 5u + 4u + 3u + 2u = 14u = 14 x 3 = 42

No new info were provided for the other two questions - areas of 3 squares and the one on Container X and Y.

cheers.

[MathIzzzFun]

Superbugs:

MathIzzzFun:

[quote=\"Superbugs\"]P5 Maths Question


The figure is made up of 3 squares, A,B and C overlapping each other. The area of Square A is 20% of the area of Square B and the area of Square B is 60% of the area of Square C. What percentage of the figure is shaded?

A\t\tC
\t\t
\t\t
\t\t
\tB\t
\t\t
Appreciate help on this question. Tks!

Hi

Can you post the image - I believe some information is missing.

cheers.

Sorry I am not able to upload the diagram. Basically it's overlapping squares and the shaded area is 40%, i.e 60% - 20%. 20% is part of 60%.[/quote]Hi

sorry, I can't figure out how the diagram looks like.

cheers.