P5 Math: Age Problems

1. Alice is 2 years old and her elder sister Bernice is 10 years old.
   In how many years' time will Bernice be thrice as old as Alice?
   
   
2. Peter's age is 1/3 of Wendy's age now.
   In 11 years, his age will be 7/10 of Wendy's age. How old is Peter now?
   
   
3. Mrs Adiba is 42 years now. Her nephew is 34 years younger than her.
   In how many years' time will Mrs Adiba be thrice as old as her nephew?
   
   
4. Today, the age of Osman to the age of Faizal is 4/3.
   15 years ago, Osman's age was thrice of Faizl's age.
   How old is Faizal now ?
   
   
5. Mr Hamid is 3 times as old as his son now. 
   12 years ago, Mr. Hamid was 9 times as old as his son.
   How old is Mr Hamid now?
   
   
6. Habib's age is 1/5 of his father's age.
   In 10 years time, Habib's age will be 2/5 of his father's age.
   How old is Habib now?
   
   
7. Elvira is 5 years  younger than her sister.
   In 4 years' time, his sister will be twice as old as her.
   How old is Elvira's sister now?
   
   
8. Mr Fez is 5 times as old as Dimash now.
   In how many years' time will Mr Fez be twice as old as Dimash if Dimash is 4 years old now?
   
   
9. Bukhara is 6 years older than his cousin. In 2 years' time, he will be twice his cousin's age. What is the ratio of Bukhara's age to his cousin's age now?
   
   
10. Twice Shalih's age now is the same as thrice of his age two years ago.
    How old is Shalih now?
    
    
11. Adrian is 3 times as old as Bob now. 
    4 years ago, Adrian was 28 years older than Bob.
    How old will Bob be in 4 years' time?
    
    
12. Mrs Intan is 50 years old. 
    Her daughter is 22 years old.
    In how  many years' time will Mrs Intan be twice of her daughter's age?
    
    
13. Uni is now 4 years older than Imah. 
    5 years ago Uni was twice as old as Imah.
    How old is Uni now?
    
    
14. Umar is 56 years old.
    His nephew, Yasir, is 4 years old.
    In how many years time will Umar be five times as old as his nephew?
    
    
    
    

Solution:

P5 Math: Jenny and Lily paper clips

Jenny had 420 more paper clips than Lily. After Jenny gave 67 paper clips to Lily, Jenny still had 3 times as many paper clips as Lily. How many paper clips did each of them have at first ?

Solution:

P5 Math: Library books

4/9 of the books in a class library were non-fiction books, The rest were fiction books.

The student borrowed 1/2 of the non-fiction books and 2/5 of the fiction books.

There were 60 books left in the class library.

How many books were there altogether at first ?

Solution:

P5 Math: Money at first

 Kakak had some money at first.

After spending $120 on a pair of jeans, she spent 4/7 of the remaining amount on a shirt.

She had 1/9 of his money left.

How much did Kakak have at first ?

Solution:

Nss Primary Journey

Alhamdulillaah rabbal 'alamiin,

Uni, putri sulung kami telah menamatkan tahap dasar menuntut ilmu akademis dan ukhrawi di madrasah semenjak awal 2019 hingga pengumuman hasil PSLE di akhir 2024. Semoga ilmu, adab, ketrampilan, dan pengalaman yang diperoleh menjadi bekal terbaik dalam menempuh kejayaan hidup di dunia dan di akhirat kelak. Man jadda wa jadda, Journey of thousand miles, starts from a little step. 

Semoga Allah Swt mengaruniakan barakah atas kerja keras dan perjuangan uni, dan selalu mencurahkan rahmat Nya kepada anak-anak Papa dan Mama dimanapun dan kapanpun. Semoga Allah membalas pahala atas kebaikan, dukungan, dan doa dari orang-orang tercinta (keluarga, para guru dan asatizah, dan siapapun yang telah membersamai perjalanan uni).

S1 Math: Find p, q, ...

Question 1

p and q are both prime numbers. 
Find the values of p and q such that  is an integer.

Question 2

One third of the product of 68 and 108 is the same as 2^p x 3^q x 17^r

Find p, q, and r.

Question 3
Find smallest positive integer k  for   be a perfect cube

Solution:

S1 Math: Smallest positive number

 

Written as a product of its prime factors, 540 = 2² x 3³ x 5

(i)                  Find the smallest positive integer k such that 540k is a perfect cube.

(ii)           Give an example of a positive integer value of h such that is a perfect cube

S1 Math: Smallest positive number

 

Written as a product of its prime factors, 600 = 2² x 3 x 5²

Find the smallest positive integer k such that  is a perfect square

S1 Math: Smallest positive number

 Find the smallest possible whole number k if 3575k is a multiple of 260.

S1 Math: Products of prime factors

 

The numbers of 700 and 1050, written as the products of their prime factors, are

                700 = 2² x 5² x 7,

                1050 = 2 x 3 x 5² x 7

Find

(i)                  The smallest positive integer h for which 700h is a multiple of 1050

(ii)                The smallest positive integer k for which  is a factor of 700