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Sample Maths Study-Revision Plan 2020

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PF2 Fractions : Short Questions and Word Problems

1. How many fifths are there in 3/5?

2.  Express 2 7/8 as a decimal.

3.  Express 3.45 as a mixed number in its simplest form.


4.  The length of a rectangle is 5/6m and its breadth is 3/5m. Find the area of the rectangle.


5.  A 10 l container needs 12 full pails of water to fill it completely. What is the capacity of the pail?

6.  Billy gave 1/4 of a pizza to Tom. Then, he cut the remainder into equal portions for his 6 friends. What fraction of the pizza did each friend get? Give your answer in its simplest form.

7.  A-Street is 5/6km long. B-street is 1/9km shorter than A-Street. What is the length of B-Street ?

8.  Fatimah spent 3/8 of her pocket money on sweets and 2/5 of the remainder on biscuits. What fraction of her money did she spend on biscuits?

9.  Ivan had 84 marbles. He gave 4/7 of them to Jimmy. How many marbles had he left?

10. Kelly and Lisa share $360. Lisa gets $40 less than Kelly. What  fraction of the money does Kelly get?

11. Mr Lim bought 4 pizzas to share with his friends at a party. Each person received 1/5 of a pizza. How many friends did he have at the party?

12. 2/3 of the pupils in a class are in the Music Club and 3/5 of them are in the Chess Club. If every pupil joins at least one of the 2 clubs, what fraction of the pupils are members of both clubs?

13. A land area of 9/10m² is divided equally among 6 people. Joe receives one piece of it and shares it with his 2 brothers. How much land does each of them have?

14. Mimi took 1/2h to wrap all the presents. She took 1/8h to wrap each present. How many presents did she wrap?

15.  1/3 of the audience at a concert were women. 3/5 of the remainder were men and the rest were children. What fraction of the audience were children?

Additional
16.  There are 3 times more apples than oranges. There are 8 apples. How many oranges are there?

17.  Ali had 2/5 as many stickers as Mary.  Ali has 6 stickers. How many stickers does Mary has?

18.  There are 4/7 as many adults as children on the bus. There are a total of 33 of them on the bus. How many are children?

19.  Mary has four times more apples than Peter.  There are 12 apples. How many apples does each has?

20.  In a basket, 2/5 of the fruits are apples. 2/3 of the remaining fruits are bananas. There are 20 fruits. How many bananas? 

21.  In a basket, 3/5 of the fruits are apples. 1/4 of the remaining fruits are bananas. There are 30 fruits. What are the numbers of the other fruits?

22. 3/4  of Ali’s money is the same as 9/11 of Mary’s money. There have $46 altogether. How much does each of them have?

23. 3/5   of John’s marbles is the equal to 2/7 of Harry’s. John has 30 marbles. How many does Harry have?

24. Ali spent 3/5 of his money and Mary spent 6/7 of her money. In the end, Ali had 1/2 as much money left as Mary. If Ali has $10 in the beginning. How much does Mary have?

EF1 Fractions : Mathematics Multiple Choice Question(MCQ)

1. Find the value of 4/7 + 3/4 

(1) 3/7   

(2)  7/11   

(3)  9/28  

(4)   2 1/2 

              

2.  Subtract 3/4 from 5/6   = 

(1) 1/3  

(2) 1/2  

(3) 8/10  

(4) 1/4  

3.   5/6  - 2/3  = 

(1) 1/6

(2) 1/3

(3) 1/2

(4) 2/3

4.  Find the value of 7/9 x 54

    (1)        21

    (2)        35

    (3)        42

    (4)        49 

5.   Express 1 9/10  as a decimal

      (1)  0.09

      (2)  0.9

      (3)  1.09

      (4)  1.9

6.   Express 5/8 ÷ 15 in its simplest form.

      (1) 1/24

      (2) 5/18

      (3)  2 1/2

      (4)  24

7.   Find the product of 3/14 and 7/55.

      (1) 1/3 

      (2) 11/19

      (3) 1/2

      (4) 1/10 

8.  Find the value of 20 ÷ 4/5 

      (1)  16

      (2)  25

      (3)  36

      (4)  45 

9.  The length of rope A and rope B is 3/4m and 5/6m respectively. What is the total length of the two rope?

      (1) 3/4m

      (2) 5/6m

      (3)  1 1/2m

      (2)  1 7/12m

10. John wants to do 18 hours of reading. He wants to do it in 5 days. How many hours per day will he need to read?

      (1) 3 3/5 h

      (2) 3 2/5 h

      (3) 5/6 h

      (4) 5/18 h

11. Mrs Tan bought 3/4m of red ribbon. She also bought some blue ribbon which was 7/10m more than the red ribbon. How much blue ribbon did she buy?   

      (1) 1 9/20m

      (2) 6 1/5m

      (3) 5 2/5m

      (2) 1 1/20m

12. The mass of a papaya is 2/3kg. The mass of a guava is 5/8kg lighter than the papaya. What is the mass of the guava?

      (1) 1/24kg

      (2) 7/11kg

      (3) 3/5kg

      (2) 1 1/18kg

13 Susan had 72 storybook. She donated 1/4 of them to the Children’s Society. How many storybook did she have left?

      (1) 18

      (2) 24 

      (3) 36

      (2) 54

14. Alex had 7/10l of orange juice. His sister drank 3/7 of it. How much juice did he have left?

      (1) 19/20l

      (2) 4/7l

      (3) 2/5l

      (2) 1 3/10l

15. 5/12 of the pupils in a school are boys. There are 560 girls in the school.  How many pupils are there in the school altogether?

(1)	400		(2)	640
(3)	960		(4)	1200

16. What is the missing number?

         3 5 = [     ]

8       8

(1)	15		(2)	23
(3)	24		(4)	29

17. What is the value of 3 + 3

                                      5   10 

(1)	2/5		(2)	6/10
(3)	9/10		(4)	6/15

18. What is the value of 3 x 4

                                      4    9 

(1)	1/3		(2)	3/9
(3)	7/13		(4)	12/36

19. How many quarters are there in 6 ½ 

(1)	26		(2)	24
(3)	13		(4)	8

20. Which of the following is closest to 1? 

(1)	7/8		(2)	8/7
(3)	11/12		(4)	12/11

21. Billy has 32 toys. 8 of them are toy cars. The rest are toy aeroplanes. What fraction of his toys are toy aeroplanes?

(1)	1/3		(2)	1/4
(3)	3/4		(4)	3/5

N10 Numbers : Simple Word Problems

Word Problems can be confusing for learners because they need to

            (1) understand  the words,

            (2) translate words into the required mathematics relationship

            (3) form the equation to solve the problem

The usual format of the Word Problems:

(a) The price of a book is $5. The price of a pen is $3 less than the book. How much does the book cost?

(b) Albert has 147 marbles. Tom has 98 marbles. How many more marbles does Albert have than Tom?

Words such as 'more than' and 'less than' are commonly used in word problems.

Solving Simple Word Problems

Method: Who -> What -> How     [Storytelling (More Less)]

Step 1:  Who and their Number(Underline)

Step 2:  What is the story? (Draw andlink)

Step 3: How to Solve  (Answer/Conclusion)

Example:
A lemon weighs 250g. An apple weighs 120g more than lemon. What is the weight of the apple?

Step 1:  Who and their Number(Underline)

Understand the terms/words -> Read each sentence and Underline Keywords => Name the Story WHO and Numbers-> 

Step 2:  What is the story? (Draw and link) 

-> (Translate words into mathematics relationship)
                           

Step 3: How to Solve  (Answer/Conclusion)

            -> Complete Model and Solve

            -> (form the equation to solve the problem)

                           Apple weighs 250g + 120g = 370g.

Example:

Albert has 560 marbles. Tom has 259 marbles. How many more marbles does Albert have than Tom?

Step 1:  Who and their Number(Underline)

            -> 'spotting' and underline keywords (Who and numbers)

            Who           Number

              Albert                         560

              Tom                            259

Step 2:  What is the story? (Draw and link)

~ how many more marbles does Albert has;

~ number of marbles that Tom needs to equal number as Albert.

--> Draw Diagram

Step 3: How to Solve  (Answer/Conclusion)

                                                ⁴5 ⁵6¹0

                                             -   2  5  9

                                                 2  0  1

Albert has 201 more marbles than Tom.

         ~~~~ END ~~~~ :)