Q&A - PSLE Math

[Michaelia0816]

Dear Tianzhu and friends here,

I have 24 question left, and was not sure of the question so I am going to post the 24 question soon?
1) Mr Koh drove from his home to the airport and back? The distance between his home ad the airport was 60km. He covered the forward journey at 42km/h and return at 56km/h. What was his average speed for the entire journey?

[fightingmom]

Hi,


Pls help in the working steps for following question from Rosyth SA1 2011 Q12:

Four children Min, Nathan, Tom and Caleb each have some savings. The amount of money Nathan has is 1/3 of the total amount of money Tom and Caleb have. The amount of money Tom has is 1/4 of the total amount of money Nathan and Caleb have. The amount of money Min has is 1/5 of the total amount of money Nathan, Tom and Caleb have. If Caleb saves $1035, how much do the four children have altogether ?
Ans: $2700

TIA

[Michaelia0816]

2) Ali set off from Town P for Town Q at 8.30am. 30 minutes later, Jim set off from Town Q for Town P along the road as Ali. Ali and Jim were travelling at constant speed of 60km/h and 50km/h respectively. At noon, they were 220km apart?

A) How far from Town P would they pass each other?
B) At what time would they pass each other?

[Michaelia0816]

3) Mike and Alex started cycling at 9.15 am and 9.30 am respectively. They started off from the same location but in opposite directions along a straight road. By 11 am, they were 80km apart? If Mike was cycling at an average speed of 20km/h, find the average speed of Alex?

[Michaelia0816]

4) Town J and Town K were 450km apart. Nancy started to drive from Town J for Town K at 10am. At hour later, Jenny started to drive from Town K for Town J at 75% the average speed of Nancy. they met each other at 1pm along the way.

A) at what speed was nancy driving?
b) How far from Town J did they met each other?

[Michaelia0816]

5) At 10am, Wang set off from Town A for Town B at an average speed of 64 km/h. at the same time, Han set off from Town B for Town A at an speed 25% faster than Wang. they were 144 km apart after 2/3/4 h.

A) How far apart were the two towns?
B) At what time would they pass each other along the way?

[Michaelia0816]

Ed set off from his home for Town Q at 11.20 am . by 1 pm, he had covered 2/5 of the journey aft travelling at an average speed of 60km/h. After that, he increased his speed by 20% for the rest of the journey.

A) what was the distance from Ed home to town Q?
B) At what time did Ed arrived in Town Q

[tianzhu]

fightingmom:

Hi,


Pls help in the working steps for following question from Rosyth SA1 2011 Q12:

Four children Min, Nathan, Tom and Caleb each have some savings. The amount of money Nathan has is 1/3 of the total amount of money Tom and Caleb have. The amount of money Tom has is 1/4 of the total amount of money Nathan and Caleb have. The amount of money Min has is 1/5 of the total amount of money Nathan, Tom and Caleb have. If Caleb saves $1035, how much do the four children have altogether ?
Ans: $2700

TIA

Hi

A similar question was discussed earlier.

Four children Min, Nat, Tom and Caleb each have savings. The amount of money Nat has is 1/3 of the total amount of money Tom , Min and Caleb have. The amount of money Tom has is 1/4 of the total amount of money Nat , Min And Caleb have. The amount of money Min has is 1/5 of the total amount of Nat, Tom and Caleb have. If Caleb saves $1035 . How much do the four children have altogether?

The total amount of money in the three scenarios is the same. Make the total number of units the same.

A common multiple of 4, 5 and 6 is 60.

Nat : (Tom + Min + Caleb) ------ 1:3 ((4) ------ 15:45 (60)
Tom : (Nat + Min + Caleb) ------ 1:4 (5) ------ 12:48 (60)
Min : (Nat + Tom + Caleb) ------ 1:5 (6) ------ 10:50 (60)

Nat ------ 15 units
Tom ------ 12 units
Min ------- 10 units
Caleb ------ 23 units

23 units ------ 1035
1 unit ------ 45

60*45 ------ 2700

Best wishes

[fightingmom]

tianzhu:

fightingmom:

Hi,


Pls help in the working steps for following question from Rosyth SA1 2011 Q12:

Four children Min, Nathan, Tom and Caleb each have some savings. The amount of money Nathan has is 1/3 of the total amount of money Tom and Caleb have. The amount of money Tom has is 1/4 of the total amount of money Nathan and Caleb have. The amount of money Min has is 1/5 of the total amount of money Nathan, Tom and Caleb have. If Caleb saves $1035, how much do the four children have altogether ?
Ans: $2700

TIA

Hi

A similar question was discussed earlier.

Four children Min, Nat, Tom and Caleb each have savings. The amount of money Nat has is 1/3 of the total amount of money Tom , Min and Caleb have. The amount of money Tom has is 1/4 of the total amount of money Nat , Min And Caleb have. The amount of money Min has is 1/5 of the total amount of Nat, Tom and Caleb have. If Caleb saves $1035 . How much do the four children have altogether?

The total amount of money in the three scenarios is the same. Make the total number of units the same.

A common multiple of 4, 5 and 6 is 60.

Nat : (Tom + Min + Caleb) ------ 1:3 ((4) ------ 15:45 (60)
Tom : (Nat + Min + Caleb) ------ 1:4 (5) ------ 12:48 (60)
Min : (Nat + Tom + Caleb) ------ 1:5 (6) ------ 10:50 (60)

Nat ------ 15 units
Tom ------ 12 units
Min ------- 10 units
Caleb ------ 23 units

23 units ------ 1035
1 unit ------ 45

60*45 ------ 2700

Best wishes

Hi tianzhu,

Sorry can u explain why u add Min in the first 2 equation / ratio portion ?

[fightingmom]

fightingmom:

tianzhu:

[quote=\"fightingmom\"]Hi,


Pls help in the working steps for following question from Rosyth SA1 2011 Q12:

Four children Min, Nathan, Tom and Caleb each have some savings. The amount of money Nathan has is 1/3 of the total amount of money Tom and Caleb have. The amount of money Tom has is 1/4 of the total amount of money Nathan and Caleb have. The amount of money Min has is 1/5 of the total amount of money Nathan, Tom and Caleb have. If Caleb saves $1035, how much do the four children have altogether ?
Ans: $2700

TIA

Hi

A similar question was discussed earlier.

Four children Min, Nat, Tom and Caleb each have savings. The amount of money Nat has is 1/3 of the total amount of money Tom , Min and Caleb have. The amount of money Tom has is 1/4 of the total amount of money Nat , Min And Caleb have. The amount of money Min has is 1/5 of the total amount of Nat, Tom and Caleb have. If Caleb saves $1035 . How much do the four children have altogether?

The total amount of money in the three scenarios is the same. Make the total number of units the same.

A common multiple of 4, 5 and 6 is 60.

Nat : (Tom + Min + Caleb) ------ 1:3 ((4) ------ 15:45 (60)
Tom : (Nat + Min + Caleb) ------ 1:4 (5) ------ 12:48 (60)
Min : (Nat + Tom + Caleb) ------ 1:5 (6) ------ 10:50 (60)

Nat ------ 15 units
Tom ------ 12 units
Min ------- 10 units
Caleb ------ 23 units

23 units ------ 1035
1 unit ------ 45

60*45 ------ 2700

Best wishes

Hi tianzhu,

Sorry can u explain why u add Min in the first 2 equation / ratio portion ?[/quote]
Hi tianzhu,

Ok I spotted the difference in your question posted and mine. I think the question sheet that I bought did not have Min in sentence 2 & 3. No wonder my DD and I can't solve it.

Thank you for the working steps!