Q&A - PSLE Math
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Need help on these; thank you
1) team A and team B sent pupils in groups of 10, for a ball game. If the 2 teams used mini vans that have a seating capacity of 14 passengers, they will need 72 vans. If they use mini vans that have a seating capacity of 19, team B will need 7 more vans than team A. If the 2 teams do not share a van and each van is pack to a max of 19 for team B, how many more pupils are there in team B than team A?
Ans: 140
2) There are 98 teachers and each female teacher has 8 notepads and each male teacher has 3 notepads given to them. The male teachers received 355 notepads less than the female teachers. How many female teachers are there?
Ans: 59, for this question I applied the excess and shortage concept though I understand that this is incorrect as it is suppose to make a supposition. Plse help. -
Hi,
Please help with the following question:
Miss Koh had 130 apples and oranges. After she sold 2/3 of the apples and 2/5 of the oranges, she had 36 more oranges than apples left. How many fruits had she left ?
TIA! -
Hi,
Sorry can also help with another question?
There are some chairs in a hall. 1/2 of them are put in short rows and 2/5 of them are placed in long rows. The remaining chairs are placed at the back of the hall. There are 20 short rows and 6 long rows. Each long row has 20 more chairs than each short rows. How many chairs are there in all ?
TIA!
I worked out and my answer is 208 … Doesn’t seem right though … -
fightingmom:
After sales of 2/3 of apples & 2/5 of oranges, number of apples and oranges remaining:Hi,
Please help with the following question:
Miss Koh had 130 apples and oranges. After she sold 2/3 of the apples and 2/5 of the oranges, she had 36 more oranges than apples left. How many fruits had she left ?
TIA!
Apples (1/3) --> 3 units
Oranges (3/5) --> 3 units + 36 = 3 x (1 unit + 12)
At first,
Apples --> 9 units
Oranges --> 5 units + 60
Total --> 14 units + 60 = 130
1 unit --> 5
Number of fruits left:
Apple --> 15
Oranges --> 51
Total --> 66
cheers. -
fightingmom:
Ratio of chairs in short rows : long rows : back of hall = 1/2 : 2/5 : 1-1/2-2/5 = 5 : 4 : 1--> 20u : 16u : 4u --- total 40uHi,
Sorry can also help with another question?
There are some chairs in a hall. 1/2 of them are put in short rows and 2/5 of them are placed in long rows. The remaining chairs are placed at the back of the hall. There are 20 short rows and 6 long rows. Each long row has 20 more chairs than each short rows. How many chairs are there in all ?
TIA!
I worked out and my answer is 208 ... Doesn't seem right though ....
For long rows,
16u = 6u + 6 x 20
1u --> 12
Total number of chairs --> 40 x 12 = 480
cheers. -
fightingmom:
Hi,Hi,
Please help with the following question:
Miss Koh had 130 apples and oranges. After she sold 2/3 of the apples and 2/5 of the oranges, she had 36 more oranges than apples left. How many fruits had she left ?
TIA!
One possible method:
Using the Advanced Model Method
(or Bags and Boxes Method)
Look at the 2 denominators; 3 and 5.
Let Miss Koh put the apples in 3 Bags.
Let Miss Koh put the oranges in 5 Boxes.
Miss Koh had 130 apples and oranges
3 Bags and 5 Boxes contain 130 fruits.
3 Bags + 5 Boxes → 130 fruits
3 Bags → 130 fruits - 5 Boxes .............. (Row 1)
She sold 2/3 of the apples and 2/5 of the oranges
She sold 2 Bags and 2 Boxes of fruits.
She had 1 Bag and 3 Boxes of fruits left.
She had 36 more oranges than apples left.
1 Bag + 36 fruits → 3 Boxes
1 Bag → 3 Boxes - 36 fruits
(x 3)
3 Bags → 9 Boxes - 108 fruits......................(Row 2)
3 Bags = 3 Bags
Row 2 = Row 1
3 Bags → 9 Boxes - 108 fruits → 130 fruits - 5 Boxes
9 Boxes - 108 fruits → 130 fruits - 5 Boxes
Add 5 Boxes to both sides of the equation
14 Boxes - 108 fruits → 130 fruits - 0 Box
Add 108 fruits to both sides of the equation
14 Boxes - 0 fruit → 238 fruits - 0 Box
14 Boxes → 238 fruits
1 Box → 17 fruits
3 Boxes → 51 fruits
(From above)
1 Bag → 3 Boxes - 36 fruits
1 Bag → 51 fruits - 36 fruits = 15 fruits
She had 1 Bag and 3 Boxes of fruits left
She had 15 fruits + 51 fruits = 66 fruits left
Hope this helps.
Cheers
speedmaths.com
PS.
Parents who wish to know more about the Advanced Model Method can check out our thread in the Happenings forum.
. -
MathIzzzFun:
:thankyou: MathIzzzFun!
After sales of 2/3 of apples & 2/5 of oranges, number of apples and oranges remaining:fightingmom:
Hi,
Please help with the following question:
Miss Koh had 130 apples and oranges. After she sold 2/3 of the apples and 2/5 of the oranges, she had 36 more oranges than apples left. How many fruits had she left ?
TIA!
Apples (1/3) --> 3 units
Oranges (3/5) --> 3 units + 36 = 3 x (1 unit + 12)
At first,
Apples --> 9 units
Oranges --> 5 units + 60
Total --> 14 units + 60 = 130
1 unit --> 5
Number of fruits left:
Apple --> 15
Oranges --> 51
Total --> 66
cheers. -
MathIzzzFun:
:thankyou: MathIzzzFun! You have worked out such simple steps ! My initial working was complicated until I was :? too ! Thanks once again!
Ratio of chairs in short rows : long rows : back of hall = 1/2 : 2/5 : 1-1/2-2/5 = 5 : 4 : 1--> 20u : 16u : 4u --- total 40ufightingmom:
Hi,
Sorry can also help with another question?
There are some chairs in a hall. 1/2 of them are put in short rows and 2/5 of them are placed in long rows. The remaining chairs are placed at the back of the hall. There are 20 short rows and 6 long rows. Each long row has 20 more chairs than each short rows. How many chairs are there in all ?
TIA!
I worked out and my answer is 208 ... Doesn't seem right though ....
For long rows,
16u = 6u + 6 x 20
1u --> 12
Total number of chairs --> 40 x 12 = 480
cheers. -
speedmaths.com:
:thankyou: speedmaths.com for providing alternative way to work out the solution! Thanks once again !
Hi,fightingmom:
Hi,
Please help with the following question:
Miss Koh had 130 apples and oranges. After she sold 2/3 of the apples and 2/5 of the oranges, she had 36 more oranges than apples left. How many fruits had she left ?
TIA!
One possible method:
Using the Advanced Model Method
(or Bags and Boxes Method)
Look at the 2 denominators; 3 and 5.
Let Miss Koh put the apples in 3 Bags.
Let Miss Koh put the oranges in 5 Boxes.
Miss Koh had 130 apples and oranges
3 Bags and 5 Boxes contain 130 fruits.
3 Bags + 5 Boxes → 130 fruits
3 Bags → 130 fruits - 5 Boxes .............. (Row 1)
She sold 2/3 of the apples and 2/5 of the oranges
She sold 2 Bags and 2 Boxes of fruits.
She had 1 Bag and 3 Boxes of fruits left.
She had 36 more oranges than apples left.
1 Bag + 36 fruits → 3 Boxes
1 Bag → 3 Boxes - 36 fruits
(x 3)
3 Bags → 9 Boxes - 108 fruits......................(Row 2)
3 Bags = 3 Bags
Row 2 = Row 1
3 Bags → 9 Boxes - 108 fruits → 130 fruits - 5 Boxes
9 Boxes - 108 fruits → 130 fruits - 5 Boxes
Add 5 Boxes to both sides of the equation
14 Boxes - 108 fruits → 130 fruits - 0 Box
Add 108 fruits to both sides of the equation
14 Boxes - 0 fruit → 238 fruits - 0 Box
14 Boxes → 238 fruits
1 Box → 17 fruits
3 Boxes → 51 fruits
(From above)
1 Bag → 3 Boxes - 36 fruits
1 Bag → 51 fruits - 36 fruits = 15 fruits
She had 1 Bag and 3 Boxes of fruits left
She had 15 fruits + 51 fruits = 66 fruits left
Hope this helps.
Cheers
speedmaths.com
PS.
Parents who wish to know more about the Advanced Model Method can check out our thread in the Happenings forum.
. -
Good morning, really need help on this simple question? I just cannot get the answer -25m.
1) Sam and Jedi took part in a 100m race. When Sam had run 80m, Jedi only managed to run 60m. How far was Jedi from the finishing line when Sam just dashed through it?
Many thanks
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